Solve. \( \frac{x}{5} + 3 = 2\)help pls!!!

Answer:

Step-by-step explanation:

64

Answer:

Step-by-step explanation:

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Answer:

\( \rm T = \dfrac{6 B + 4}{R} \)

Step-by-step explanation:

\( \rm Solve \: for \: T: \\ \rm \longrightarrow B = \dfrac{R T - 4}{6} \\ \\ \rm B = \dfrac{R T - 4}{6} \: is \: equivalent \: to \: \dfrac{R T - 4}{6} = B : \\ \rm \longrightarrow \dfrac{R T - 4}{6} = B \\ \\ \rm Multiply \: both \: sides \: by \: 6: \\ \rm \longrightarrow R T - 4 = 6 B \\ \\ \rm Add \: 4 \: to \: both \: sides: \\ \rm \longrightarrow R T = 6 B + 4 \\ \\ \rm Divide \: both \: sides \: by \: R: \\

\rm \longrightarrow T = \dfrac{6 B + 4}{R} \)

Answer:

3x² + x - 4

Step-by-step explanation:

(3x + 4)(x - 1) =

= 3x² - 3x + 4x - 4

= 3x² + x - 4

Answer:

yay girl I like it like that

The value of secant XY is 37.5 units.

The Secant-Secant Theorem states that "if two secant segments which share an endpoint outside of the circle, the product of one secant segment and its external segment is equal to the product of the other secant segment and its external segment".

Using the theorem above, we can say:

VZ * VW = VX * VY

30 * 45 = 22.5 * VY

22.5VY = 1350

VY = 1350/22.5

VY = 60 units

Since VY = VX + XY. We have:

60 = 22.5 + XY

XY = 60 - 22.5

XY = 37.5 units

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The length of side X in simple radical form with a rational denominator is 10/√3.

In Mathematics and Geometry, a 30-60-90 triangle is also referred to as a special right-angled triangle and it can be defined as a type of right-angled triangle whose angles are in the ratio 1:2:3 and the side lengths are in the ratio 1:√3:2.

This ultimately implies that, the length of the hypotenuse of a 30-60-90 triangle is double (twice) the length of the shorter leg (adjacent side), and the length of the longer leg (opposite side) of a 30-60-90 triangle is √3 times the length of the shorter leg (adjacent side):

Adjacent side = 5/√3

Hypotenuse, x = 2 × 5/√3

Hypotenuse, x = 10/√3.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

you can use sohcahtoa formula

sin = opposite/hypotenus

cos = adjacent/hypotenus

tan = opposite/adjacent

based on the triangle

5 = hypotenus

4 = opposite

3 = adjacent

answer : tan = 4/3

Answer:

3x+7=10x-22

We simplify the equation to the form, which is simple to understand

3x+7=10x-22

We move all terms containing x to the left and all other terms to the right.

+3x-10x=-22-7

We simplify left and right side of the equation.

-7x=-29

We divide both sides of the equation by -7 to get x.

x=4.14285714286

Answer:

x=15

Step-by-step explanation:

(10x-22)+(3x+7)=180

Answer: 6 feet and one inch

Step-by-step explanation:

    We know there are 12 inches in a foot. The nearest multiple of 12, below 73, is 72.

    73 - 72 = 1 inch

    72 / 12 = 6 feet

    6 feet + 1 inch = 6 feet and one inch

Answer:

Below

Step-by-step explanation:

Find unit rate (since it starts at 0,0)

at 45 seconds  it is 900 bottles

             900 bottles / 45 seconds = 20 bottle / sec

20 bottles / sec * 80 sec = 1600 bottles

Answer: Graph A

Step-by-step explanation:

Graph A. If you find the y-intercept by plugging in 0 for x, you get 2.5 = y, so therefore graph A is correct.

Answer:

(c) n = 100, p = 0.2

Step-by-step explanation:

To approximate to use the normal distribution for a binomial, we need that:

\(np \geq 10, n(1-p)\geq 10\)

So, for each option

(a) n = 10, p = 0.5

\(np = 10*0.5 = 5 < 10\)

So not appropriate

(b) n = 40, p = 0.88

\(np = 40*0.88 = 35.2 > 10\)

\(n(1-p) = 40*0.12 = 4.8 < 10\)

So not appropriate.

(c) n = 100, p = 0.2

\(np = 100*0.2 = 20 > 10\)

\(n(1-p) = 100*0.8 = 80 > 10\)

So appropriate

(d) n = 100, p = 0.99

\(np = 100*0.99 = 99 > 10\)

\(n(1-p) = 100*0.01 = 1 < 10\)

So not appropriated

(e) n = 1000, p = 0.003

\(np = 1000*0.003 = 3 < 10\)

So not appropriate

A Normal distribution to approximate probabilities for a binomial distribution with the given values of n = 100 and p = 0.2.

Given that,

Normal distribution to approximate probabilities for a binomial distribution with the given values of n and p.

We have to determine,

In which of the following situations would it be appropriate to use a normal distribution to approximate probabilities for a binomial distribution with the given values of n and p.

According to the question,

Probabilities for a binomial distribution with the given values of n and p.

(a) n = 10, p = 0.5

(b) n = 40, p = 0.88

(c) n = 100, p = 0.2

(d) n = 100, p = 0.99

(e) n = 1000, p = 0.003

To approximate to use the normal distribution for a binomial is given as,

\(np\geq 10 , \ n(1-p)\geq 10\)

        \(= np \geq 10\\\\= 10 \times 0.5 = 5<10\)

The normal distribution is less than 10 so, this not appropriate.

        \(= n.p \geq 10\\\\= (40).(0.88) \geq 10\\\\= 35.2\geq 10\\\\Then,\\=n(1-p) = 40(1-0.88) \geq 10 \\\\= 40\times 0.12 \geq 10 = 4.8\leq 10\)

The normal distribution is less than 10 so, this not appropriate.

        \(= n.p \geq 10\\\\= (100).(0.2) \geq 10\\\\= 20\geq 10\\\\Then,\\=n(1-p) = 100(1-0.2) \geq 10 \\\\= 100\times 0.8\geq 10 = 80\geq 10\)

The normal distribution is greater than 10 so, this appropriate.

        \(= n.p \geq 10\\\\= (100).(0.99) \geq 10\\\\= 99\geq 10\\\\Then,\\=n(1-p) = 100(1-0.99) \geq 10 \\\\= 100\times 0.01\geq 10 = 1\leq 10\)

The normal distribution is less than 10 so, this not appropriate.

        \(= np \geq 10\\\\= 1000 \times 0.003 = 3<10\)

The normal distribution is less than 10 so, this not appropriate.

Hence, A Normal distribution to approximate probabilities for a binomial distribution with the given values of n = 100 and p = 0.2.

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The perimeter of the triangle is 28 cm. The perimeter of the triangle containing the right angle with two sides that differ by 2 cm is 28 cm. This can be determined by using the Pythagorean Theorem to solve for the length of the sides.

Let the two sides of the right triangle be x and x+2

Apply the Pythagorean Theorem:

(x)^2 + (x + 2)^2 = 24

x^2 + x^2 + 4x + 4 = 24

2x^2 + 4x = 20

2x(x + 2) = 20

x(x + 2) = 10

x = 5 and x + 2 = 7

Therefore the perimeter of the triangle is 5 + 7 + 7 = 19 cm.

The perimeter of the triangle is 28 cm.

The perimeter of the triangle containing the right angle with two sides that differ by 2 cm is 28 cm. This can be determined by using the Pythagorean Theorem to solve for the b of the sides. The equation 2x(x + 2) = 20 can be used to solve for x, which is equal to 5. Therefore, the two sides of the triangle are 5 cm and 7 cm. Adding these lengths together, the perimeter of the triangle is 5 + 7 + 7 = 28 cm.

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The total cash due at signing is $3,700 at the local dealership..

The addition operation in mathematics adds values on each side of the operator.

For example 4 + 2 = 6

The total cash due is calculated as:

Down payment: $1,800

Security deposit: $400

Acquisition fee: $300

Total: $1,800 + $400 + $300

Apply the addition operation, and we get

= $3,700

Thus, the total cash due at signing is $3,700.

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Solving the given logarithmic equation, it is found that the horn is 100 times more intense compared to the weakest sound heard to the human ear.

The equation is given by:

\(d = 10\log{\frac{p}{p_0}}\)

In which:

In this problem, we have that d = 20, and we have to solve the logarithmic equation for p to find how many times more intense the sound is:

\(d = 10\log{\frac{p}{p_0}}\)

\(20 = 10\log{\frac{p}{p_0}}\)

\(\log{\frac{p}{p_0}} = 2\)

The logarithm is inverse of the function \(10^x\), hence we apply the function to both sides to find the ratio.

\(\frac{p}{p_0} = 10^2\)

\(\frac{p}{p_0} = 100\)

Hence, the horn is 100 times more intense compared to the weakest sound heard to the human ear.

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Answer:

$22.50

Step-by-step explanation:

So if each topping cost 2.50 then just multiply by 9

Answer:

63°

Step-by-step explanation:

ABCD (rhombus): AC ⊥ BD and bisect at E and same length of 4 sides

∠EBA = 90 - 27 = 63

∠EBC = ∠EAB = 63°

Levy is painting a miniature model of a World War II tank. His figure uses a 1:72 scale and is 22.5 cm long. The actual tank is 1620 cm long.

To determine the length of the actual tank, we need to scale up the length of the miniature model using the given scale of 1:72.

Let's denote the length of the actual tank as "x".

According to the scale, 1 cm on the miniature model represents 72 cm on the actual tank.

So, we can set up the following proportion:

1 cm (miniature model) / 72 cm (actual tank) = 22.5 cm (miniature model) / x cm (actual tank)

Cross-multiplying and solving for x, we get:

x = (72 cm * 22.5 cm) / 1 cmx = 1620 cm

The actual tank is 1620 cm long.

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The graphical summary of salaries is an example of b. descriptive statistics.

Descriptive statistics is the branch of statistics that is used to summarize, organize, and describe data. It is used to present data in a clear and meaningful way, so that patterns, relationships, and trends can be easily understood. A graphical summary of all employees' salaries, such as a histogram or a bar chart, is an example of descriptive statistics.

This graphical summary represents the entire population of employees and not a subset of it, so it's not a sample. The factory owner is not making any inferences about the population based on the data, so it's not an example of statistical inference. And this is not an experiment because no manipulation of the data was made.

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Answer:

1/8 is the bigger fraction

Step-by-step explanation:

When comparing fractions with different denominators, and the numerator is one, like 1/8. The one with the smaller number for the denominator is greater.

You could also compare them by finding common denominators, so for 1/8 and 1/9, a common denominator would be /63. So you would take \(\frac{1}{8}\) and multiply that by \(\frac{9}{9}\). You would then get \(\frac{9}{63}\). When you take \(\frac{1}{9}\) times \(\frac{8}{8}\) you get \(\frac{8}{63}\). So when comparing you can see that 1/8 is greater than 1/9.

The values of the six trignometric functions for the angle are

The above sketch an angle θ in standard position such that θ has the least possible positive measure, and the point (0,-2) is on the terminal side of θ. We have to determine the value of six

triganomertric functions at angle θ. As we see at terminal side point (0,-2) the value of angle θ = 3π/2. The six trigonometric functions are sine, cosine , secant , cosecant , tangent , cotangent .

= Sin ( 180° + π/2) = - sin(π/2) ( since, 180° + θ represents 3rd quadrant where sinθ is negative)

=> Sinθ = - 1

= Cos( 180° + π/2) = - Cos(π/2) ( since, 180° + θ represents 3rd quadrant where cosθ is negative)

=> Cosθ = Cos(π/2) = 0

= tan( 180° + π/2) = - tan(π/2) ( since, 180° + θ represents 3rd quadrant where tanθ is positive)

=> tanθ = - sin(π/2)/cos(π/2) = 1/0

= undefined

= Csc( 180° + π/2) = - Csc(π/2) ( since, 180° + θ represents 3rd quadrant where cscθ is negative)

=> Cscθ = - Csc (π/2) = - 1/sin(π/2) = 1

= Sec( 180° + π/2) = - Sec(π/2) ( since, 180° + θ represents 3rd quadrant where secθ is negative)

=> Secθ = -Sec(π/2) = -1/cos(π/2) = - 1/0

= undefined

= Cot( 180° + π/2) = Cot(π/2) ( since, 180° + θ represents 3rd quadrant where cotθ is positive)

=> Cotθ = cot(π/2) = Cos(π/2)/sin(π/2) = 0

Hence, we determined all required triganomertric functions value for θ=3π/2.

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The six trignometric functions' values for the angle are

Tan = tan(3/2) = undefined, Sin = Sin(3/2) = -1, Cos = Cos(3/2) = 0, and vice versa.

Cot = Cot(3/2), Csc = Csc(3/2), and Sec = Sec(3/2), respectively.

The above drawing shows an angle in standard position with the point (0,-2) on the angle's terminal side and the smallest positive measure achievable. We must calculate the value of six.

Triganomertric operates at an angle. As can be seen, the angle's value is 3/2 at the terminal side point (0,-2). In trigonometry, there are six different functions: sine, cosine, secant, cosecant, tangent, and cotangent.

At this point, Sin = Sin(3/2) = Sin( + /2)

= Sin ( 180° + π/2) Since 180° + denotes the third quadrant, where sin is negative, the expression is equal to - sin(/2).

=> Sinθ = - 1

Cos is equal to Cos(3/2) = Cos(+/2)

because 180 degrees, = Cos(180° + /2) = - Cos(/2)

Since 180° + denotes the third quadrant, where cos is negative, the equation is Cos(180° + /2) = - Cos(/2).

Hence, Cos = Cos(/2) = 0.

Tan is equal to Tan (3/2) = Tan (+/2)

= tan( 180° + π/2) Since 180° + denotes the third quadrant, where tan is positive, the expression is = - tan(/2).

Consequently, tan = - sin(/2)/cos(/2) = 1/0

not defined

Csc is equal to Csc(3/2) = Csc(+/2)

Since 180° + represents the third quadrant, where csc is negative, Csc(180° + /2) = - Csc(/2)

=> 1/sin(/2) = 1 = Csc = - Csc (/2)

Se( + /2) = Se( = Sec(3/2)

Since 180° + represents the third quadrant, where sec is negative, sec(180° + /2) = - Sec(/2)

The formula is: Sec = -Sec(/2) = -1/cos(/2) = -1/0.

not defined

Cot = Cot(3/2), which equals Cot(+/2)

Since 180° + denotes the third quadrant, where cot is positive, the equation is Cot(180° + /2) = Cot(/2).

Consequently, Cot = Cot(2/2) = Cos(2/2)/sin(2/2) = 0

As a result, we calculated the values for all necessary triganomertric functions for 3/2.

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Answer:

70

Step-by-step explanation:

The non-labeled side (next to 130) has to be supplementary to the angle outside, hence it has to be 50. Since all the sides of an angle must add up to 180, we can subtract 60+50 to get 70. Hope this helps!

Answer:

70°

Step-by-step explanation:

Theorem:

The measure of an exterior angle of a triangle is equal to the sum of the measures of its remote interior angles.

130 = x + 60

x = 70

Answer: 70°

Answer:

\(f(-1) = \frac{5}{2}\)

\(f(0) = 5\)

\(f(2) = 20\)

Step-by-step explanation:

Given

\(f(x) = 5(2^x)\)

Required

Determine f(-1); f(0) and f(2)

Solving f(-1)

In this case, we simply take x as;

\(x = -1\)

Substitute -1 for x in \(f(x) = 5(2^x)\)

\(f(-1) = 5(2^{-1})\)

Apply law of indices

\(f(-1) = 5 * \frac{1}{2}\)

\(f(-1) = \frac{5}{2}\)

Solving f(0)

In this case, we simply take x as;

\(x = 0\)

Substitute 0 for x in \(f(x) = 5(2^x)\)

\(f(0) = 5(2^0)\)

\(f(0) = 5(1)\)

\(f(0) = 5\)

Solving f(2)

In this case, we simply take x as;

\(x = 2\)

Substitute 2 for x in \(f(x) = 5(2^x)\)

\(f(2) = 5(2^2)\)

\(f(2) = 5(4)\)

\(f(2) = 20\)

Remember that the formula of the area of a rectangle is

Where l is the length and w is the width.

Then, we need to find all the possible pairs of numbers l and w such that

The case given by the problem is 2*4=8 but there are many more, for example

Or even

There are infinite rectangles with areas equal to 8cm^2