The angles of a quadrilateral are 3y+25, 2y+30, 2y-5, y+30. The value of y is

The length of the third side of the triangle with a perimeter of 7x + 8 is 2x + 3

An equation is an expression that shows the relationship between two or more numbers and variables using mathematical operations. An equation can be linear, quadratic, cubic and so on, depending on the degree of the variable.

A triangle is a polygon that has three sides. The perimeter of a triangle is the sum of all the three sides.

Hence:

Perimeter of triangle = side 1 + side 2 + side 3

A triangle has a perimeter of 7x + 8. the first side of the triangle has a length of 3x, and the second side has a length of 2x − 5.

Hence:

Perimeter of triangle = side 1 + side 2 + side 3

7x + 8 = 3x + (2x - 5) + side 3

7x + 8 = (5x - 5) + side 3

side 3 = 7x + 8 - (5x - 5)

side 3 = 2x + 13

The length of the third side is 2x + 3

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Answer: y = 17x + 114

Step-by-step explanation:

The equation for the slope-intercept form is y = mx + b.

Arrange the equation so that it resembles y = mx + b.

You will do this by multiplying and subtracting so y is on the left side of the equation and mx + b is on the right side of the equation.

y + 5 = 17(x + 7)

y + 5 = 17x + 119

y + 5 - 5 = 17x + 119 - 5

y = 17x + 114

Answer:

Y = 17x + 114

Step-by-step explanation:

1. Y + 5 = 17 (x+7)

2. Y + 5 = 17x + 119   [Multiply the numbers in parenthesis by 17.]

3. Y = 17x + 114.     [To keep the balance and move the 5 over, subtract it from 119.]

Answer:

it would still be the same length due to the fact that it did not change lengths.

Step-by-step explanation:

Answer: $50.96

Step-by-step explanation:

The regular price of a video game is $59.95 and we are told that this week it is on sale for 15% off.

The game cost this week before taxes will be:

= 59.95 - (15% × 59.95)

= 59.95 - (0.15 × 59.95)

= 59.95 - 8.9925

= $50.9575

= $50.96

The amount this week is $50.96

Answer:

y=-5/4x+5

Step-by-step explanation:

( 0 , 5 )

The 5 is the y point meaning.

y = -5/4 x + 5

*slope

y = -5/4 x + 5

*where it crosses the y-axis

Answer: Right Triangle

Step-by-step explanation: You can use the Pythagorean Theorem. a^2+b^2=c^2

You test if the equation is true. 21^2 x 20^2 = 29^2 which is 841 = 841

Answer:

B. No solutions

Step-by-step explanation:

8x+2y=14

8x+2y=4

These linear equations are in standard form, and the Ax values are the same (8x) and the By values are the same (2y).  The only value that is the different is the C values (14 and 4), which will be the cause of a no solution for this system of equations.

Answer:

b

..........

Step-by-step explanation:

0≠14-4

...

Answer: D.

Step-by-step explanation:

For an absolute value function, the vertex of \(f(x) = |x+h| + k\) is defined as the point (-h, k) for the coordinate (x, y).

When x is equal to negative h, the value for x and value for h effectively cancel out, and only the positive k remains, hence the vertex being (-h, k).

The function given has a vertex at (2, 3). We know that the vertex of an absolute function is (-h, k), so h must equal -2 and k must equal 3.

The equation:

\(f(x) = |x-2| + 3\)

tan 145° is equal to csc 55°. Given that csc 55° is not provided in the options, none of the given options is correct. cotangent is the reciprocal of the sine function.

To find the value of tan 145°, we can use the relationship between tangent and cotangent:

tan x = 1 / cot x

Since cotangent is the reciprocal of the sine function, we can rewrite the given equation as:

csc 55° = 1 / sin 55°

To find the value of sin 55°, we can use the fact that sin x = cos (90° - x):

sin 55° = cos (90° - 55°)

       = cos 35°

Now, we need to find the value of cos 35°. We can use a trigonometric identity:

cos (90° - θ) = sin θ

cos 35° = sin (90° - 35°)

       = sin 55°

Substituting this value back into the equation, we have:

csc 55° = 1 / sin 55°

       = 1 / cos 35°

Now, let's find the value of tan 145° using the relationship between tangent and cotangent:

tan 145° = 1 / cot 145°

Since cotangent is the reciprocal of the sine function, we can rewrite the equation as:

tan 145° = 1 / sin 145°

To find the value of sin 145°, we can use the fact that sin x = sin (180° - x):

sin 145° = sin (180° - 145°)

        = sin 35°

Now, we have:

tan 145° = 1 / sin 145°

        = 1 / sin 35°

Since we previously found that csc 55° = 1 / cos 35°, we can substitute this value into the equation:

tan 145° = 1 / sin 35°

        = csc 55°

Therefore, tan 145° is equal to csc 55°. Given that csc 55° is not provided in the options, none of the given options is correct.

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Answer:

45

Step-by-step explanation:

Given

3z² - 6z ← substitute z = 5 into the expression

= 3(5)² - 6(5)

= 3(25) - 30

= 75 - 30

= 45

Answer:

Step-by-step explanation:

First, convert the z’s to numbers.

3(5) squared - 6(5)

do the squared first

3(25)-6(5)

multiply

75-30=45

Answer:45

Step-by-step explanation:

Circumference of a circle =  pi * diameter = 2 pi r

then

450 cm = 2 pi r

225 = pi r

225/pi = r =71.6 cm

Answer:

c=5/9f+-160/9      f=9c+160/5

Step-by-step explanation:

Answer:

First box: F (because we don't know the degrees Fahrenheit yet.

Second box: -62.1 (the degrees Celsius it tells us to find the equivalent of

Step-by-step explanation:

Solving the equation will go like this:

5/9(F - 32) = -62.1

multiply both sides by 9 to get rid of the fraction

5 (F - 32) = -558.9

divide both sides by 5

F - 32 = -111.78

add 32 to both sides

F = -79.78

I checked the math twice.

Let me know if you have questions.

Step-by-step explanation:

first blank: 0 seconds

second blank: 9.8 seconds

third blank: 5 seconds

fourth blank: 120 meters

The probability that either of the compartments has at least two coins that landed heads is 161/192.

To solve this problem, we can use the principle of inclusion-exclusion.

Let A be the event that the first compartment has at least two coins that landed heads, and let B be the event that the second compartment has at least two coins that landed heads. We want to find the probability of the union of these events: P(A ∪ B).

To compute P(A ∪ B), we need to compute the probabilities of A, B, and A ∩ B.

The probability of A is the probability that at least two of the three coins landed heads in the first compartment, and the remaining coin landed tails in either compartment. There are three ways this can happen:

HHT (with probability 1/8)

HTH (with probability 3/8)

THH (with probability 3/8)

So, the probability of A is (1/8) + (3/8) + (3/8) = 7/8.

Similarly, the probability of B is also 7/8.

To compute the probability of A ∩ B, we can use the multiplication rule:

P(A ∩ B) = P(A) × P(B | A)

where P(B | A) is the probability that the second compartment has at least two coins that landed heads, given that the first compartment has at least two coins that landed heads.

To compute P(B | A), we can condition on the number of heads in the first compartment:

If the first compartment has exactly two heads, then there is only one way to distribute the remaining coin, which is to put it in the second compartment. So, the probability of B in this case is 1/2.

If the first compartment has three heads, then there are three ways to distribute the remaining coin, two of which result in the second compartment having at least two heads. So, the probability of B in this case is 2/3.

Therefore,

P(B | A) = (1/2) × P(first compartment has exactly two heads) + (2/3) × P(first compartment has three heads)

= (1/2) × (3/8) + (2/3) × (1/8)

= 7/24.

Hence,

P(A ∩ B) = (7/8) × (7/24) = 49/192.

Now, we can apply the inclusion-exclusion principle:

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

= (7/8) + (7/8) - (49/192)

= 161/192.

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Answer:

Step-by-step explanation:

1. To transform from standard form to vertex form you need to complete the square.

To transform from vertex form to standard form multiply the equation out and combine all the like terms.

2. The attributes from vertex form would be the roots ( zeros)

From standard form the attribute would be the lowest point, also known as the vertex.

For part a, the confidence interval for the population proportion of college students who work to pay for tuition and living expenses is 0.42 to 0.52, with a certain level of confidence (usually 95% or 99%).
For part b, the confidence interval is slightly wider and ranges from 0.41 to 0.53. This could be due to a larger sample size or a lower level of confidence.
For part c, as the confidence level increases from 95% to 99%, the margin of error becomes larger.

a. To calculate the confidence interval for the population proportion of college students who work to pay for tuition and living expenses, we use the given range of 0.42 to 0.52. This interval indicates that we can be confident that the true population proportion falls between 42% and 52% of college students. This means that we are 95% confident that the true population proportion falls within this interval based on the sample data.

b. Similarly, for the second provided confidence interval, we use the given range of 0.41 to 0.53. This interval indicates that we can be confident that the true population proportion falls between 41% and 53% of college students.

c. When the confidence level is increased, the margin of error becomes larger. This is because a higher confidence level requires a wider interval to ensure that the true population proportion falls within the specified range with greater certainty. This is because a higher level of confidence requires a wider interval to capture the true population proportion. As a result, the precision of the estimate decreases as the margin of error increases.

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Each pair of numbers (m, h) which meet the inequality is the answer to the inequality. m < h plus 2.

A factor pair is a collection of two factors that, when multiplied together, produce a certain result in mathematics. In those other words, it's a pair of integers that we multiply to produce a result. For instance, the factor pair that yields the result in the multiplication formula 6 7 = 42 is composed of the numbers 6 and 7. 42

By adding 14 to both sides, starting with -14 + 7m 7h, we may simplify the left side:

-14 + 7m plus 14 < 7h plus 14

Even more condensed, we get at:

7m < 7h plus 14

The inequality can then be divided by 7 on both sides: m h + 2.

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Answer:

6a^2-a-35

Step-by-step explanation:

(3a + 7) (2a – 5)

F: 6a^2

O: -15a

I: 14a

L: -35

combine like terms

6a^2-a-35

To calculate the accuracy of the test, we need to create a 2x2 contingency table:

Actual Positive (Meningitis)Actual Negative (No Meningitis)Test PositiveTrue Positive (TP) = 6False Positive (FP) = 3Test NegativeFalse Negative (FN) = 2True Negative (TN) = 69

From the information given, we know that there are 8 actual positive cases (people with meningitis) and 72 actual negative cases (people without meningitis). We also know that there were 3 false positive results (people who tested positive for meningitis but did not have it) and 2 false negative results (people who tested negative for meningitis but actually had it).

Using this information, we can calculate the accuracy of the test as:

Accuracy = (TP + TN) / (TP + TN + FP + FN)

Accuracy = (6 + 69) / (6 + 69 + 3 + 2)

Accuracy = 75 / 80

Accuracy = 0.9375 or 93.75%

Therefore, the accuracy of the meningitis test is 93.75%.

Answer:

D, X^2 -18 + 81 = -45 + 81

Step-by-step explanation:

it is complating squer method that used for solving x in a quadratic equetion . in this step you will add

(y/2)^2 if y is the cofitient of x .

The partial derivative diffusivity equation for spherical flow is ∂²p/∂r² + (1/r) ∂p/∂r = ϕμC/k ∂p/∂t, and for hemispherical flow, it is the same equation.

1. The partial derivative diffusivity equation for spherical flow is derived from the spherical coordinate system and applies to radial flow in a spherical geometry. It can be expressed as ∂²p/∂r² + (1/r) ∂p/∂r = ϕμC/k ∂p/∂t.

2. The partial derivative diffusivity equation for hemispherical flow is derived from the hemispherical coordinate system and applies to radial flow in a hemispherical geometry. It can be expressed as ∂²p/∂r² + (1/r) ∂p/∂r = ϕμC/k ∂p/∂t.

1. For the derivation of the partial derivative diffusivity equation for spherical flow, we consider a spherical coordinate system with the radial direction (r), the azimuthal angle (θ), and the polar angle (φ). By assuming steady-state flow and neglecting the other coordinate directions, we focus on radial flow. Applying the Laplace operator (∇²) in spherical coordinates, we obtain ∇²p = (1/r²) (∂/∂r) (r² ∂p/∂r). Simplifying this expression, we arrive at ∂²p/∂r² + (1/r) ∂p/∂r.

2. Similarly, for the derivation of the partial derivative diffusivity equation for hemispherical flow, we consider a hemispherical coordinate system with the radial direction (r), the azimuthal angle (θ), and the elevation angle (ε). Again, assuming steady-state flow and neglecting the other coordinate directions, we focus on radial flow. Applying the Laplace operator (∇²) in hemispherical coordinates, we obtain ∇²p = (1/r²) (∂/∂r) (r² ∂p/∂r). Simplifying this expression, we arrive at ∂²p/∂r² + (1/r) ∂p/∂r.

In both cases, the term ϕμC/k ∂p/∂t represents the source or sink term, where ϕ is the porosity, μ is the fluid viscosity, C is the compressibility, k is the permeability, and ∂p/∂t is the change in pressure over time.

These equations are commonly used in fluid mechanics and petroleum engineering to describe radial flow behavior in spherical and hemispherical geometries, respectively.

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The standard equation of a circle is expressed as:

\(x^2+y^2+2gx+2fy+C=0\)

Given a circle whose equation is \(x^2 + y^2 - 2x - 8 = 0.\)

Get the centre of the circle

2gx = -2x

2g = -2

g = -1

Similarly, 2fy = 0

f = 0

Centre = (-(-1), 0) = (1, 0)

This shows that the center of the circle lies on the x-axis

r = radius = √g²+f²-C

radius = √1²+0²-(-8)

radius =√9 = 3 units

The radius of the circle is 3 units.

For the circle x² + y² = 9, the radius is expressed as:

r² = 9

r = 3 units

Hence the radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.

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Answer:

a, b and e

Step-by-step explanation:

i got it correct on edge

An independent basic service set (IBSS) does not consist of any access points.

In an IBSS, devices such as laptops or smartphones connect with each other on a peer-to-peer basis, forming a temporary network. This type of network can be useful in situations where there is no existing infrastructure or when devices need to communicate with each other directly.

Since an IBSS does not involve any access points, it is not limited by the number of access points. Instead, the number of devices that can be part of an IBSS depends on the capabilities of the devices themselves and the network protocols being used.

To summarize, an IBSS does not consist of any access points. Instead, it is a network configuration where wireless devices communicate directly with each other. The number of devices that can be part of an IBSS depends on the capabilities of the devices and the network protocols being used.

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If Tonya interviews an SRS of 50 of the 750 seniors in her school and finds that 36 plan to go to prom, the population and the parameter of interest are 750 and 36/750 respectively.

To find the population and the parameter of interest:

Hence, the population and the parameter of interest are 750 and 36/750 respectively.

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Answer:

56*a234 =123

a×829

h=234*234*56=2893

Answer: g=5

Step-by-step explanation:

Given

7g+4g+3g-13g+g=10

Combine like terms

2g=10

Divide 2 on both sides

2g/2=10/2

g=5

Hope this helps!! :)

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