(a+8)/5 + (a-8)/7 = 4

Answer:

1. 184-x

2. 90

3. y=4x/3-23/3

Step-by-step explanation:

1. 180-(x-4)=184-x (supplementary angles)

2. 180/2=90 (supplementary angles)

3. y=-3x/4+2

y+5=(4/3)(x-2)

y=4x/3-23/3

In this case, the denominator degrees of freedom is 18 - 3 = 15.

The denominator degrees of freedom for this ANOVA test is the total number of observations in the sample minus the number of groups, or n-k.

The denominator degrees of freedom are the total number of observations in the sample minus the number of groups being compared. This value is used in statistical tests such as ANOVA to determine the probability of obtaining a given value of the test statistic, and it is also used in calculating the standard error of the mean. In ANOVA, the denominator degrees of freedom is equal to the total sample size minus the number of groups.

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In case of the following perpendicular triangles-

Part 1)  x=8

Part II mRSU=133°

mUST=47° (Part 3).

mWSV=43° (Part 4).

5th Part mVSU=137°

Explanation in detail:

To better understand the issue, please examine the accompanying figure.

Part 1) Determine the value of x.

We are aware that

mRSU and mUST are auxiliary angles (by linear pair)

so m∠RSU+m∠UST=180°

We now have

m∠RSU=(17x-3)°

m∠UST=(6x-1)°

Substitute the provided values for x and solve

Part 2) Determine the value of mRSU.

We now have

m∠RSU=(17x-3)°

replace the value of x

m∠RSU=17(8)-3=133°

Part 3) Determine the value of mUST.

We now have

m∠UST=(6x-1)°

replace the value of x

m∠UST=6(8)-1=47°

Part 4) Determine the value of mWSV.

We are aware that

mRSW=mUST ——-> by means of vertical angles

so

m∠RSW=47°

mRSW+mWSV=90° ----> issue presented (SV perpendicular RT)

Substitute mRSW for the value of mWSV and solve for mWSV.

47°+m∠WSV=90°

m∠WSV=90°-47°=43°

Part Part 5) Determine the value of mVSU.

We are aware that

m∠VSU=m∠VST+m∠UST

We now have

mVST=90° ----> provided issue (SV perpendicular RT)

m∠UST=47°

substitute

m∠VSU=90°+47°=137°

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Answer:

s + 2.5v ≥ 25

Step-by-step explanation:

           Cost of 1 song = $1

        Cost of 's' songs = s * 1 = s

  Cost of 1 video = $2.50

Cost of 'v' videos = 2.50 * v = 2.5v

As he wants to spend at least $ 25, he wants to buy for an amount equal to $ 25 or more than $ 25.

        Total amount to spend ≥ $ 25

          s + 2.5v ≥ 25

To compare the two birdbaths, we can compare the equations for their respective cross sections.

Cross sections are a two-dimensional representation of a three-dimensional shape or object. Cross sections can be used to help visualize the internal and external structure of an object, such as a building, machine, or living organism. They are also used to understand the physics and math of a certain area, such as the flow of air or the interactions of particles.

To compare the two birdbaths, we can compare the equations for their respective cross sections. The equation for the first birdbath is y=(x-18)² – 4, while the equation for the second birdbath is y=75. We can compare the two equations by looking at how the x-values affect the y-values. In the first equation, as x increases, y increases. In the second equation, y remains constant. This indicates that the second birdbath is a shallower bowl than the first birdbath.

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The number of vectors (x1, x2 . . ., xn) such that each xi is either 0 or 1 and n where k is a non-negative integer less than or equal to n is 2^n.

Each xi in the vector (x1, x2, ..., xn) can be either 0 or 1. Therefore, there are 2 possibilities for each xi. The number of vectors that can be formed by combining these values is equal to the number of combinations of 2 possibilities, taken n times.

This is equivalent to 2^n. For example, if n = 2, then there are 2 possibilities for x1 (either 0 or 1) and 2 possibilities for x2 (either 0 or 1). The total number of vectors that can be formed is 2 * 2 = 2^2 = 4. In general, the number of vectors that can be formed is equal to 2^n.

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Answer:

y = 14 and lh = 16

Step-by-step explanation:

i already answered this in ur other question

It depends on the purpose of dividing 30. There is no specific answer for dividing 30 into a certain number of parts. It can be divided into any number of parts, as long as it is a whole number.

Answer:

it depends upon ur requirement that  hw many parts is needed by u

Step-by-step explanation:

like if u need 2 parts it can happen by having 15 on  one side and 15 on the other similarly it,s the way to divide it to many parts required by u

The surface area of the regular triangular pyramid is 76 square centimeters.

A three-dimensional object with a triangle base and three triangular faces is known as a regular triangular pyramid.

Given:

A regular triangular pyramid has a base and lateral faces that are congruent equilateral triangles.

It has a lateral surface area of 57 square centimeters.

The area of a 3-dimensional object's sides, excluding its base and top, is referred to as its lateral surface area.

A total of four face areas make up the surface area of a triangular pyramid.

The area of one face = lateral surface area / 3

57 / 3 = 19

The surface area = 19 x 4 = 76

Therefore, the surface area is 76 square centimeters.

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Answer:

$102

Step-by-step explanation:

It cost $25.50 per inch.  They want to buy 4 inches.

Inch 1    Inch 2   Inch 3    Inch 4

    v            v           v             v

25.50 + 25.50 + 25.50 + 25.50 is the same as 25.50 · 4 which equals 102

Answer:

The dimensions of the sand volleyball court are 17 meters by 8 meters.

Answer:The answer is D (15)(5)



Step-by-step explanation:

To find the area of a parallelogram the formula it b×h. Base and height and the base is 15cm and the height is 5cm so the answer is d because 7 isn't the base or height it is a slant.

Answer: C

Area = Base x Height (15)(5)

Answer:

m = 1/4

Step-by-step explanation:

Slope is defined as

[tex] \frac{y2 - y1}{x2 - x1} [/tex]

There are two solid points

(4,0) (-4,-2)

So using that equation

=(-2-0)/(-4-4)

=(-2)/(-8)

=1/4

Slope is 1/4

Translate the word problem into a system of equations, with x representing true/false questions and y representing multiple choice questions:

(1) [tex]x+y=20[/tex] <-- a test has 20 total questions

(2) [tex]4x+8y=100[/tex] <-- the test is worth 100 total points

Now we have a system of two equations with two unknowns, which we can solve with the elimination method.

Let's multiply equation (1) by -4 so that we can eliminate x from the system:

[tex]-4x-4y=-80[/tex]

Now, add this new equation to equation (2) to eliminate x so that we only have one variable left:

[tex]4y=20[/tex]

Solve for y:

[tex]y=5[/tex]

Now, substitute this value for y into either the original equation (1) or (2). I will do equation 1 for simplicity:

[tex]x+5=20[/tex]

Solve for x:

[tex]x=15\\[/tex]

Notice that we now have values for both x and y, so we are done. We now know that there are 15 true/false questions and 5 multiple choice questions on the test!

The function of the line passing through the points (0,0) and  (-6,-18) is y = 3x.

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,

Points are (0,0) and  (-6,-18)

The slope of the line is given as,

m = (y₂ - y₁) / (x₂ - x₁)

m = -18/-6

m = 3

The equation of the line is given as

y - y₁ = 3 (x - x₁)

y + 0 = 3(x - 0)

y = 3x

Thus, the function of the line passing through the points (0,0) and  (-6,-18) is y = 3x.

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Answer:

Where is your question

Step-by-step explanation:

I need it to solve the problem

The mean of the new control group is 237.4.

In statistics, the mean refers to the average of a set of values. The mean can be computed in a number of ways, including the simple arithmetic mean (add up the numbers and divide the total by the number of observations).

The given data is 225 248 221 242 235 246 250 224 241 242.

Now, the mean is

(225+248+221+242+235+246+250+224+241+242)/10

= 2374/10

= 237.4

Therefore, the mean of the new control group is 237.4.

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To find an interpolating polynomial, we need to fit a polynomial to the given data points. The simplest way to do this is by using the Lagrange Interpolating Polynomial formula:

p(t) = ∑ (y_i * l_i(t))

where y_i = the y-value of the data point

           l_i(t) = Lagrange basis polynomial for data point i, defined as:

            l_i(t) = (∏ (t-t_j)) / (t_i-t_j) for all j ≠ i

Using this formula, we can find the interpolating polynomial for the given data points:

p(t) = 0.0006t^5 - 0.0222t^4 + 0.2436t^3 - 1.0528t^2 + 2.2080t + 2.0400

So the interpolating polynomial for this data is a 5th degree polynomial, which means that it is necessary to use a polynomial of at least degree 5 in order to accurately fit the data.

If we try to use a polynomial of degree less than 5, the polynomial will not fit the data points accurately, and the difference between the polynomial and the actual data points will be significant. This means that the results of the wind tunnel experiment would be inaccurate if we use a polynomial of lower degree.

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Step-by-step explanation:

oh, come on. this can be easily answered by all the formulas and information from the other question.

again the area of a circle is

pi×r²

so, for the given area of 9pi this means the radius is

r = sqrt(9) = 3 cm

the slant height is 4 times the radius

L = 3×4 = 12 cm

the total surface area of a cone is again

pi×r(r + L) = pi×r² + pi×r×L

the lateral area alone (without the base area) is then

pi×r² + pi×r×L - pi×r² = pi×r×L

in our case

3.14×3×12 = 113.04 ≈ 113 cm²

Answer:

$2.11

Step-by-step explanation:

Let's call the number of dimes x.

The number of pennies is two times the number of dimes minus 1, so 2x - 1.

The number of quarters is three times the number of dimes minus 2, so 3x - 2.

So, we know that we have x dimes, 2x - 1 pennies, and 3x - 2 quarters

In terms of money, we can find the total by converting each coin to its value in dollar.

x dimes = x * $0.10 = $0.10x

(2x - 1) pennies = (2x - 1) * $0.01 = $0.02x - $0.01

(3x - 2) quarters = (3x - 2) * $0.25 = $0.75x - $0.50

Now we can add these three equations to find the total money.

$0.10x + $0.02x - $0.01 + $0.75x - $0.50 = $0.87x - $0.51

Given the x = 3, we can substitute it in the above equation

$0.87*3 - $0.51 = $2.11

So, the answer is $2.11

Answer:

Step-by-step explanation:

Applying the exterior angles theorem, the measure of angle JKL is: 22°.

Exterior Angle Theorem states: "The measure of an exterior angle of a triangle is equal to the sum of the measures of the two interior angles that are not adjacent to it."

Applying the exterior angles theorem, we would create the following equation:

m<JKL = m<KIJ + m<IJK

Substitute:

5x - 3 = 2x + 8 + x - 1

Solve for x

5x - 3 = 3x + 7

5x - 3x = 3 + 7

2x = 10

x = 5

m<JKL = 5x - 3 = 5(5) - 3

m<JKL = 22°

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Solution

let the cost of book be x and cost of pen be y

as per the question x+y=30------equation 1

it is also given that cost of book is double the cost of pen so

x=2y-------- equation 2

substituting x=2y in equation 1 we get

2y+y=30

3y=30

y=30/3=10

substituting y=10 in equation 2 we get

x=2{10}

x=20

cost of book is 20 and cost of pen is 10

We can see here that the value of n = 16.

An expression in mathematics is a combination of numbers, variables, and mathematical operations that represent a mathematical value or concept. It can be a single term, such as "5x", or a combination of terms, such as "5x + 2". Expressions are used to describe mathematical relationships and equations, and they can be simplified, evaluated, and solved to determine a numerical value.

Below is how we got n.

We can see that having: [tex]\frac{(q^{4} )^{-3} }{q^{-15} }[/tex]

[tex]\frac{(q^{4} )^{-3} }{q^{-15} } = q^{n}[/tex]

Thus, [tex]\frac{(q^{4} )^{-3} }{q^{-15} } = \frac{q^{4-3} }{q^{-15} }[/tex]

∴ [tex]\frac{q^{4-3} }{q^{-15} } = q^{1-(-15)} = q^{1+15} = q^{16}[/tex]

Therefore, [tex]q^{n} = q^{16}[/tex]

Thus, n = 16.

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Answer:

[tex]\frac{4}{3}[/tex] or 1.333333333 euro

Step-by-step explanation:

Answer:

1 euro = £0.75

£1= 4/3 or 1.33333 repeating

Hope this helped!

Step-by-step explanation:

If A = {1, 3, 5} then it must contain 9 equivalence relations.

A relation that is reflexive, symmetric, and transitive is called an equivalence relation.

A = {1, 2, 3}

For equivalence relation containing (1, 3)

For symmetric, it must consist (1, 3) and (3, 1).

For transitivity, it must consist (1, 3) and (3, 2) and (1, 2),(2, 1),(2, 3),(3, 1)

For reflexivity, it must consist (1, 1) and (2, 2),(3, 3)

⇒ R = {(1, 1),(2, 2),(2, 3),(3, 3),(1, 2)(1, 3),(2, 1),(3, 1),(3, 1)}.

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The worth of the homework is 55% and worth of final exam is 15%. The worth of each three projects is 10%

a) Finding the student's grade, If a student has an 82 homework average and a 96 on the first project.

Students grade = 82(55%) + 96(15%)

= 45.1 + 14.4

Students grade= 59.5

(b) Finding the lowest grade the student If a student gets a 78 on the second project and a 76 on the third project.

Let G be the lowest grade in the final exam.

It was stated that the lowest grade the student can get on the final exam to get an 80 overall in the course:

82(55%) + (96 +74 + 71)(25%)  +G (15%)= 82

45.1 +60.25 + G0.15 = 82

Making G the subject of the relation we have

G0.15 = 82 -105.35

G0.15 = --23.35

G= 155-100

Therefore the lowest grade is 55

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On solving the provided question we can say that by unitary method  1/4 tickets sold were bought by teachers , so teachers bought = 20/4 = 5, so students cost was = 15*8 = $120

The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unit method, to put it simply, is used to extract a single unit value from a supplied multiple. For instance, 40 pens would cost 400 rupees, or the price of one pen. The process for doing this may be standardized. a single country. anything that has an identity element. (mathematics, algebra) (Linear algebra, mathematical analysis, mathematics of matrices or operators) Its adjoint and reciprocal are equivalent.

here,

by unitary method

1/4 tickets sold were bought by teachers ,

so teachers bought = 20/4 = 5

so students cost was = 15*8 = $120

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The equation of a line given point (0, -4) and (5, -4) be y + 4 = 0.

Writing an equation for a line in the form y = mx + b is known as slope intercept form in mathematics. The m indicates the line's slope, while the b indicates the y-intercept. When attempting to locate a point on a line or determine y given x, the slope intercept form is utilized.

The equation may be constructed as soon as it is realized that the Y-coordinates of the provided two points through which the line travels are identical.

y = -4, or, y + 4 = 0

This behaviour of points on a line occur, when and only when, the line exists Horizontal,

i.e., line [tex]$\|$[/tex] to the x-axis.

Use the formula for the equation of a line passing through the points

[tex]$\left(x_1, y_1\right)$[/tex] and [tex]$\left(x_2, y_2\right)$[/tex] given by, [tex]$: \frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1}$[/tex]

substitute the values in the above equation, we get

[tex]$\frac{y+4}{x-0}=\frac{-4+4}{5-0}=0 \Rightarrow y+4=0$$[/tex]

Therefore, the equation of a line given point (0, -4) and (5, -4) be y + 4 = 0.

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