Graph the equation using the x- and y-intercepts.4x - 6y = - 24

Answer:

hello my name Nidhi, please mark me as brainliest bcoz I need it

The distance from the bottom of the building to the point where the ladder is touching the building for triangle 2, obtained using trigonometric ratio of tangent is 12 feet. The correct option is therefore;

12 feet

The trigonometric ratios are the value relationship between an interior angle of a right triangle and two of the sides of the triangle.

The right triangles are similar, therefore, the tangent of the angle the ladder makes with the ground are the same, which indicates;

tan(θ) = (Length of the side facing the angle θ) ÷ (Length of the side adjacent to the angle θ)

The side facing the angle is the distance from the bottom to the point where the ladder touches the building.

The adjacent to the angle is the horizontal distance from the bottom to the ladder to the building.

Therefore; tan(θ) = 18/12 = x/8

Where x = The distance from the bottom of the building to the point the ladder touches the building for triangle 2

18/12 = x/8

x = 18/12 × 8 = 12

The distance, x = 12 feet

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Answer:

12?

Step-by-step explanation:

I'm not too sure! I am in the middle of taking the test right now.

The value of the square root of 7 is,

⇒ √7 = 2.645

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

WE have to given that;

To find the value of the square root of 7 .

Since, the square root of 7 is,

⇒ √ 7

⇒ 2.645

Thus, The value of the square root of 7 is,

⇒ √7 = 2.645

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The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

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The price of 1 jump rope is $1.75 and the price of 1 box of sidewalk chalk is $3.5.

To solve for the prices of 1 jump rope and 1 box of sidewalk chalk, we can use a system of equations.

Let's call the price of 1 jump rope "j" and the price of 1 box of sidewalk chalk "c".

From the given information, we can create the following system of equations:

j + 5c = 19.25 (equation 1)

2j + 3c = 14 (equation 2)

We can solve for either "j" or "c" using the equations above. Let's solve for "j":

Multiply equation 1 by 2:

2j + 10c = 38.5 (equation 3)

Subtract equation 2 from equation 3:

2j + 10c - (2j + 3c) = 38.5 - 14

7c = 24.5

Solve for "c":

c = 3.5

Now that we know the price of 1 box of sidewalk chalk is $3.5, we can substitute this value into either equation 1 or equation 2 to solve for "j". Let's use equation 1:

j + 5(3.5) = 19.25

j + 17.5 = 19.25

j = 1.75

Therefore, the price of 1 jump rope is $1.75 and the price of 1 box of sidewalk chalk is $3.5.

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Answer:

Slope = 0.25

Step-by-step explanation:

m= -3 / -12 = -1 / -4 = 0.25

distance between x's = 12

distance between y's = 3

hope this helped thank you!

Answer:

a. Probability density function for the battery life

\(f(x)={\begin{cases}{\dfrac {1}{12-8.5}}=\dfrac{1}{3.5}&\mathrm {for} \ 8.5\leq x\leq 12,\\[8pt]0&\mathrm {for} \ x<8.5\ \mathrm {or} \ x>12\end{cases}}\)

b. P(x<11) = 0.7143

Step-by-step explanation:

The question is incomplete

In October, Apple introduced a much smaller variant of the Apple iPad, known as the iPad Mini. Weighing less than 11 ounces, it was about 50% lighter than the standard iPad. Battery tests for the iPad Mini showed a mean life of hours (The Wall Street Journal, October 31, 2012). Assume that battery life of the iPad Mini is uniformly distributed between 8.5 and 12 hours.

a. Give a mathematical expression for the probability density function of battery life.

b. What is the probability that the battery life for an iPad Mini will be 11 hours or less (to 4 decimals).

a. We model the battery life as random variable with an uniform distribution with parameters a (min. value)=8.5 hours and b (max. value)=12 hours.

The probability that the battery life takes any value between 8.5 and 12 is constant. Also, the probability that takes any value outside the interval (8.5, 12) is 0.

We can express that as:

\(f(x)={\begin{cases}{\dfrac {1}{12-8.5}}=\dfrac{1}{3.5}&\mathrm {for} \ 8.5\leq x\leq 12,\\[8pt]0&\mathrm {for} \ x<8.5\ \mathrm {or} \ x>12\end{cases}}\)

The last is the probability density function for the battery life.

b. We can calculate P(x<11) using the cumulative density function or integrating the density function between x=0 (or x=a=8.5) and x=11.

\(P(x<11)=\int\limits^{11}_{8.5} \dfrac{1}{3.5} \, dx=\dfrac{1}{3.5}(x_2-x_1)=\dfrac{1}{3.5}(11-8.5)=\dfrac{2.5}{3.5}= 0.7143\)

1.

We are told that the coordinates of the image are of the formula:

P'(x-2 , y-3) where x and y are the actual points and x-2 and y-3 are the reflections

Finding the coordinates of point A:

We are given that the coordinates of reflection of A are: A'(-4 , 3)

we also know that reflected point follow the formula: P'(x-2 , y-3)

So, the points of A'(-4 , 3) follow the formula P'(x-2 , y-3)

So, their respective x and y coordinates will be equal

Hence,

x - 2 = -4

x  = -2                 [adding 2 on both sides]

Also,

y - 3 = 3

y  = 6                 [adding 3 on both sides]

Therefore, the coordinates of A are A(-2,6)

Finding the coordinates of B:

We are given the coordinates of B' are B'(-4 , 2)

So,

x - 2 = -4

x = -2             [adding 2 on both sides]

also,

y-3 = 2

y = 5             [adding 5 on both sides]

Therefore, the coordinates of B are: B(-2,5)

Finding the coordinates of C:

We are given that the coordinates of reflection of C are: C'(-2,3)

Using the general formula given in the question:

x - 2 = -2  

x = 0            [adding 2 on both sides]

y - 3 = 3

y = 6            [adding 3 on both sides]

Therefore, the coordinates of C are: C(0,6)

Finally, the coordinates of A, B and C are:

A(-2,6)   ,    B(-2,5)   ,    C(0,6)

__________________________________________________________

2.

Reflecting the pre-image along the x-axis

To reflect along x-axis, we multiply the y-coordinate by -1

Coordinates of the pre-image:

A(-2,6)   ,    B(-2,5)   ,    C(0,6)

Coordinates of points reflected along the x-axis:

A(-2,-6)   ,    B(-2,-5)   ,    C(0,-6)

Answer:

The area of this circle is \((\frac{\pi}{2} )\)  the area of the square.

For the uniform electric field normal to the surface, the flux through the surface is electric field multiplied by the area of this surface.

Therefore, Φsquare is \((\frac{2}{\pi} )\) ϕcircle

Step-by-step explanation:

Area of the circle is given by;

\(A_c = \frac{\pi d^2}{4}\)

Area of the square is given by;

\(A_s = L^2\)

relationship between the edge length of the square, d, and length of its side, L,

\(d = \sqrt{L^2 + L^2} \\\\d = \sqrt{2L^2}\)

But area of the square , \(A_s = L^2\)

\(d = \sqrt{2A_s}\)

Then, the area of the square in terms of the edge length is given by;

\(A_s = \frac{d^2}{2}\)

Area of the circle in terms of area of the square is given by;

\(A_c = \frac{\pi d^2}{4} = \frac{\pi}{2}(\frac{d^2}{2} )\\\\But \ A_s = \frac{d^2}{2} \\\\A_c = \frac{\pi}{2}(\frac{d^2}{2} )\\\\A_c = \frac{\pi}{2}(A_s )\)

For the uniform electric field normal to the surface, the flux through the surface is electric field multiplied by the area of this surface.

Ф = E.A

Flux through the surface of the circle is given by;

\(\phi _{circle} = E.(\frac{\pi d^2}{4})\)

Flux through the surface of the square is given by;

\(\phi _{square} = E.(\frac{d^2}{2} )\\\\\phi _{square} =E.(\frac{d^2}{2} ).(\frac{\pi}{2} ).(\frac{2}{\pi} )\\\\\phi _{square} =E.(\frac{\pi d^2}{4} ).(\frac{2}{\pi} )\\\\\phi _{square} =(\phi _{circle}).(\frac{2}{\pi} )\)

Therefore, Φsquare is \((\frac{2}{\pi} )\) ϕcircle

If the circle has the same diameter as the edge length of the square, then the area of this circle is \(\rm \dfrac{\pi }{2}\) the area of the square

The uniform electric field is normal to the surface, the flux through the surface is the electric field multiplied by the area of this surface.

Φsquare is \(\dfrac{2}{\pi}\)  ϕcircle

If the circle has the same diameter as the edge length of the square, then the area of this circle is ___________the area of the square

For the uniform electric field normal to the surface, the flux through the surface is____________the area of this surface.

Therefore, Φsquare is ________ ϕcircle .

1. If the circle has the same diameter as the edge length of the square, then the area of this circle is ___________the area of the square.

The area of the circle is;

\(\rm Area \ of \ circle = \dfrac{\pi d^2}{4}\)

The area of the square is;

\(\rm Area \ of \ square = a^2\)

The relationship between the edge length of the square, d, and length of its side a is;

\(\rm d = \sqrt{a^2+a^2}\\\\d = \sqrt{2a^2}\\\\d = \sqrt{2} a\)
The area of the circle in terms of the area of the square is;

\(\rm Area \ of \ circle = \dfrac{\pi }{2} \ Area \ of \ square\)

If the circle has the same diameter as the edge length of the square, then the area of this circle is \(\rm \dfrac{\pi }{2}\) the area of the square.

2. The uniform electric field is normal to the surface, the flux through the surface is the electric field multiplied by the area of this surface.

Ф = E.A

3. Flux through the surface of the circle is given by;

\(= \rm E\dfrac{\pi d^2}{4}\\\\=\dfrac{2}{\pi }\)

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Answer:0.8p+1 and 1+0.8p

Step-by-step explanation:

0.5p+0.3p=0.8p

7-6=+1

0.8p+1

and

Swap both numbers

(0.5p+7)+(0.3p-6)=1+0.8p

Answer:

thirty-five and seven tenths

Answer:

(3 x 10)+(5 x 1)+(7 x 0.1)

or

30+5+.7

Step-by-step explanation:

The top left graph represents the weight of the radioactive isotope over time.

An exponential function has the definition presented according to the equation as follows:

\(y = ab^x\)

In which the parameters are given as follows:

The parameter values for the function in this problem are given as follows:

a = 96, b = 0.5.

Hence the function is given as follows:

\(y = 96(0.5)^x\)

Two points on the graph of the function are given as follows:

(1,48) and (2, 24).

Hence the top left graph represents the weight of the radioactive isotope over time.

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Answer:

Graph W

Step-by-step explanation:

The given information describes a radioactive decay process, where the weight of the isotope decreases by half at regular intervals. This type of decay is characteristic of exponential decay.

Based on the description, the graph that represents the weight of the radioactive isotope over time would be a decreasing exponential curve, where the y-axis represents the weight of the isotope (in grams), and the x-axis represents time (in hours).

The initial weight of the isotope is 96 grams, and after each subsequent hour, the weight becomes half of what it was in the previous hour. Therefore, the correct graph would start at 96 grams (the initial weight when x = 0) and then decrease by half every hour. It would be a curve that gets closer and closer to zero but never quite reaches it.

Initial weight: 96 grams

After 1 hour: 96 / 2 = 48 grams

After 2 hours: 48 / 2 = 24 grams

After 3 hours: 24 / 2 = 12 grams

After 4 hours: 12 / 2 = 6 grams

After 5 hours: 6 / 2 = 3 grams

So, the points on the graph would be:

Therefore, the graph that represents the weight of the radioactive isotope over time is Graph W.

Therefore, the volume of the composite figure is 105 cubic inches.

In physics and mathematics, volume refers to the amount of space occupied by a three-dimensional object or region. It is a measure of the size of an object in three dimensions, and is typically expressed in cubic units, such as cubic meters, cubic feet, or cubic centimeters. The volume of an object can be calculated using a formula that is specific to the shape of the object. For example, the volume of a cube can be calculated by multiplying the length, width, and height of the cube, while the volume of a sphere can be calculated using the formula 4/3 x π x r^3, where r is the radius of the sphere. The concept of volume is important in many fields, including architecture, engineering, and science, as it is used to calculate the amount of space that an object or substance occupies, and to determine quantities such as mass and density.

Here,

To find the volume of the composite figure, we need to find the volume of each rectangular prism and add them together.

The volume of a rectangular prism is given by the formula V = l*w*h, where l is the length, w is the width, and h is the height.

For Prism A, V = (7)(3)(2) = 42 cubic inches.

For Prism B, V = (3)(3)(7) = 63 cubic inches.

The total volume of the composite figure is the sum of the volumes of the two prisms:

V_total = V_A + V_B

= 42 + 63

= 105 cubic inches

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Answer:

\(B = {(\frac{4A \times sin( \frac{19π}{12})}{\sqrt{A}})}^{2} + 1\)

Step-by-step explanation:

\(sin(19π/12)=−\sqrt{A}(\sqrt{B}+1)/4A \to \\ \\ sin( \frac{19π}{12})=− \frac{\sqrt{A}(\sqrt{B}+1)}{4A}

\\ \\ \sqrt{A}(\sqrt{B}+1) = 4A \times sin( \frac{19π}{12}) \\ \\ (\sqrt{B}+1) = \frac{4A \times sin( \frac{19π}{12})}{\sqrt{A}} \\ \\ B = {(\frac{4A \times sin( \frac{19π}{12})}{\sqrt{A}})}^{2} + 1\)

♨Rage♨

Check the picture below.

\(\cos(28^o)=\cfrac{h}{5}\implies 5\cos(28^o)=h \\\\[-0.35em] ~\dotfill\\\\ \textit{area of a parallelogram}\\\\ A=bh~~ \begin{cases} b=base\\ h=height\\[-0.5em] \hrulefill\\ b=6\\ h=5\cos(28^o) \end{cases}\implies A=6[5\cos(28^o)]\implies A\approx 26.49\)

Make sure your calculator is in Degree mode.

Answer:

147

Step-by-step explanation

Average rate of change of a function is determined using the formula, Given the function, f(x) = 3x³ + 2To find the average rate of change between x = 3 and x = 5, let:a = 3f(a) = f(3) = 3(3)³ + 2 = 83b = 5f(b) = f(5) = 3(5)³ + 2 = 377Plug in the values into the formulaAverage rate of change = 

The number of vanilla cupcakes that Nina took to school is; 15 vanilla cupcakes

We are given;

Number of cake Nina bought for her friends = 25 cupcakes

There are two flavors namely chocolate and vanilla.

Now, we are told that for every 2 chocolate cupcakes she bought, she bought 3 vanilla cupcakes. Thus;

Fraction of chocolate cupcakes of the total = 2/(2 + 3) = 2/5

Fraction of vanilla cupcakes of the total = 3/5

Thus;

Number of the chocolate cupcakes she bought = 2/5 × 25 = 10 chocolate cupcakes

Number of the vanilla cupcakes she bought = 3/5 × 25 = 15 vanilla cupcakes

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The total area of the shaded region for the region x = 5y³ , x = 5y² in the interval ( 5, 1 ) is equal to ( 5 / 12 ).

From the attached graph :

The area of the shaded region :

x = 5y³ , x = 5y² for the interval ( 5, 1 ) is equal to :

= \(\int\limits^1_0 {( 5y^{2 } - 5y^{3 }}) \, dy\)

=  [ ( 5y³/3 ) - ( 5y⁴ / 4 ) ]\(| \limits^1_0\)

Substitute the lower limit and upper limit we get,

= (5 /3 )( 1 )³ - 0  - ( 5 / 4 )( 1⁴) + 0

= ( 5 / 3 ) - ( 5 / 4 )

= ( 20 - 15 ) / 12

= 5 / 12

Therefore, the total area of the shaded region in the given graph for the lower and upper limit is equal to ( 5 / 12 ) .

The given question is incomplete, I answer the question in general according to my knowledge:

Find the total area of the shaded region x = 5y³ , x = 5y² for the interval

( 5, 1 ).

Graph is attached.

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Answer:

11.6 lbs

Step-by-step explanation:

Answer:

Graph B

Step-by-step explanation:

Answer:

796

Step-by-step explanation:

First turn it into 3 Composite Shapes, Then add the sums up to get you answer. You would separate them using the given numbers. DO NOT USE THE LARGE NUMBER: 53 you have to put them into 3 tiny squares using the numbers it gives you. Look at the image, to look at how to separate them and then i will continue the math.

To Do This You Also Have To Follow PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)

I color coded it for you so that you could tell what block was what.

I also put color under the numbers that were also with the block that you needed to multiply.

For the first square/red square you need to do the math:

25x17=415

For the second square/blue square you need to do the math:

24x(25-12)=

24x13=312

For the third and final square/green square you need to do the math:

6x12=72

For the last step you have to add all the sums together to get the quotient/answer:

415+312+72=796

Answer:

y= 50+8x

Step-by-step explanation:

Given data

Charges

Membership= $50

Each game= $8

Let the number of games be x and the total charges be y

so that the expression for the total charges be

y= 50+8x

Answer:

$41.50

Step-by-step explanation:

$39.95×4%=1.59

$39.95+1.59=$41.54

rounding total $41.50

Answer:

The 95% confidence interval for the proportion opposing health care changes is (0.6082, 0.6918).

Step-by-step explanation:

The (1 - α)% confidence interval for the population proportion is:

\(CI=\hat p\pm z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}\)

The information provided is:

\(\hat p=0.65\\n=500\\\text{Confidence level}=95\%\)

The critical value of z for 95% confidence level is:

\(z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96\)

*Use a z-table.

Compute the 95% confidence interval for the proportion opposing health care changes as follows:

\(CI=\hat p\pm z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}\)

     \(=0.65\pm 1.96\sqrt{\frac{0.65(1-0.65)}{500}}\\\\=0.65\pm 0.04181\\\\=(0.60819, 0.69181)\\\\\approx (0.6082, 0.6918)\)

Thus, the 95% confidence interval for the proportion opposing health care changes is (0.6082, 0.6918).

Object dilation for image 1 is 30 cm, image 2 is 21 cm, image 3 is 8 cm, and image 4 is 2 cm.

Dilation is a conversion, which is utilized to resize the thing. Dilation is operated to create things bigger or shorter.

For image 1, Dilation for the given side of polygon A is 10 × 3 = 30cm for polygon B.

Therefore, the dilation for the unknown side of polygon B would be 15 × 3 = 45cm.

For image 2, The dilation for the given side of triangle A is 7 × 3 = 21cm for triangle B.

Therefore, the dilation for the unknown side of triangle B would be 18 ÷ 3 = 6cm for triangle A.

For image 3, Dilation for the given side of triangle A is 12 × 4 = 48cm.

Therefore, the dilation for the unknown sides would be 32 ÷ 4 = 8cm for the left side of triangle A and 8 × 4 = 24 for the right side of triangle B.

For image 4, The dilation for the given side of square A is 2 × 2 = 4cm in square B.

Therefore, the dilation for the unknown side of square A would be 4 ÷ 2 = 2cm for square A.

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Answer:

there is significant difference bag weights for two machines

Step-by-step explanation:

Given the data :

Machine 1: 2.95 3.45 3.50 3.75 3.48 3.26 3.33 3.20 3.16 3.20 3.22 3.38 3.90 3.36 3.25 3.28 3.20 3.22 2.98 3.45 3.70 3.34 3.18 3.35 3.12

Machine 2: 3.22 3.30 3.34 3.28 3.29 3.25 3.30 3.27 3.39 3.34 3.35 3.19 3.35 3.05 3.36 3.28 3.30 3.28 3.30 3.20 3.16 3.33

Hypothesis:

H0 : σ1² = σ2²

H1 : σ1² ≠ σ2²

Using calculator, we can obtain the standard deviation of machine 1 and 2 :

Machine 1 : s1 = 0.2211

Machine 2 : s2 = 0.0774

Using the Fratio:

F test = s1² / s2² = 0.2211² / 0.0774² = 8.16

Sample size, n1 = 25 ; n2 = 22

Degree of freedom, n1 - 1 = 25 - 1 = 24 ; n2 - 1 = 22 - 1 = 21

The Pvalue Using the Pvalue from Ftest calculator :

Pvalue < 0.00001

Since Pvalue < α ; We reject the Null and conclude that ; there is significant difference in the bag weights for two machines at 0.05

Answer:

Which means that the first number is 251, the second number is 251 + 1 and the third number is 251 + 2. Therefore, three consecutive integers that add up to 756 are 251, 252, and 253. 251 + 252 + 253 = 756 We know our answer is correct because 251 + 252 + 253 equals 756 as displayed above.

Step-by-step explanation:

The solution to the quadratic equation 2x² - 7x - 4x is x = 0 and x = 11/2.

A quadratic equation is an algebraic expression in the form of variables and constants.

A quadratic equation has two roots as its degree is two.

Given, y = 2x² - 7x - 4x.

y = 2x² - 11x.

y = x(2x - 11).

Or,

x(2x - 11) = 0.

x = 0 Or 2x - 11 = 0 ⇒ 2x = 11 ⇒ x = 11/2.

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The domain of the function is x ∈ [ -4, ∞ )

Here, we are given a function as follows-

y = \(\sqrt{x + 4}\)

Now, domain is the set of all input values that a function can take. Or in other words, it is the set of all values that the independent variable can take such that the function exists.

Here, the independent variable is x

We know that square root of a negative number is imaginary. Thus, for y to be real, (x + 4) must be greater than or equal to 0

⇒ (x + 4) ≥ 0

x ≥ -4

This means that for all values of x greater than or equal to -4, the function exists.

Thus, the domain of the function is x ∈ [ -4, ∞ )

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Your question was incomplete. Check for missing content below-

What is the domain of the function y = sqrt(x + 4)?

Increasing the value of a variable change the value of the expressions

An expression is combination of variables, numbers and operators.

A variable in expression is a characteristic that can be measured and that can assume different values.

When the variable value is increased then the value of expression will be also increases because with the variable the value of expression is interlinked.

2x+4 is an expression

Let x=1

then 2(1)+4=6

Value of expression is 6.

If x=2 then the value of expression is 8

Now the other expression is 5x+3

For x=1, 8 is the value of expression.

For x=2, 13 is the value of expression.

as values of x increases then value of expression will be increased.

Hence,  increasing the value of a variable change the value of the expressions

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