given that x = 2 and y = -4, find the value of 3x + y
given that q = 3m - 2p, express m in terms of p and q.

By performing some simple mathematical operations, we know that Sophia earns $366 per hour.

So, to calculate how much Sophia earns in 1 hour:

Now, calculate earnings per hour:

Rounding off: $366

Therefore, by performing some simple mathematical operations, we know that Sophia earns $366 per hour.

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Complete question:

Two friends, Sophia and Ruby, took summer jobs. the equation y=23.9x represents ruby's earnings in dollars and cents, y, for working x hours. Sophia earned 1098.20 in 38 hours.

sophia earns $___ per hour

Answer:

Step-by-step explanation:

 mu = 35,420 sigma = 2,050 n = 256 s...

Answer:

  (9, 7)

Step-by-step explanation:

You want the coordinates of the image of point (9, -7) after it has been reflected across the x-axis.

The image point will be as far above the x-axis as the original point is below the x-axis. The y-coordinate of -7 tells you the point is 7 units below the x-axis. The reflected point will be 7 units above the x-axis, so will have a y-coordinate of +7.

The image coordinates are (9, 7).

__

Additional comment

Reflection across the x-axis changes the sign of the y-coordinate.

Reflection across the y-axis changes the sign of the x-coordinate.

Answer:

5

Step-by-step explanation:

The relationship between height and vertical jump is High positive correlation.

What is a correlation?

A statistical indicator of the relationship between the relative motions of two variables is the correlation. If the variables are correlated, a line or curve will be formed by the points. The points will touch the line more closely the better the correlation.

Main body:

To find the relation we need to draw a line passing closely to all the points , if we are able to draw such line , it has high positive correlation.

If the line doesn't pass through all points it has low positive correlation.

hence this has high positive correlation .

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Answer:

-positive

-linear

-strong

-no.

Step-by-step explanation:

edge 2023

Answer:

TW = 16.8

Step-by-step explanation:

When two chords of a circle intersect inside the circle, then the product of the lengths of the chords of one segment equals the product of the lengths of the segments of the other chord.

Here,

TW × WS = UW × WV

TW × 30 = 18 × 28

TW = (18 × 28)/30

TW = 16.8

The value of TW is 16.8 in a circle.

The product of all the chord values of one segment, where two chords from a circle cross from within the circle, equaled the product of the chord measures of each additional segment. The value of the cord will be the distance with respect to the circle that is present in the circle.

The value of WS = 30

The value of UV = 18

The value of WV = 28

The value of TW is:

TW × WS = UW × WV

TW × 30 = 18 × 28

TW = (18 × 28)/30

TW = 16.8

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Answer:

addition?

Step-by-step explanation:

Answer:

Step-by-step explanation:

The size of the angle of one whole revolution is 360 degrees. A revolution describes the angle of a circular surrounding sector as it rotates! This means one full revolution is 360 degrees. And half of a revolution is 180 degrees!

The ratio of the combined volume of these pyramids to the volume of the prism as a fraction is equal to 1/3.

How to calculate the volume of a pyramid?

The volume of a pyramid can be calculated by using this formula:

Volume = 1/3 × b × h

Where:

h is the height.

b is the base area.

Here, both pyramids have the same base area as the prism, their volume is given by:

Volume of a pyramid = (1/3 × b × h) + (1/3 × b × h)

Volume of a pyramid = 2/3 × b × h

Also, the volume of this prism = 1/2 × b × h

Thus, the ratio is given by:

Ratio = (2/3 × b × h)/(1/2 × b × h)

Ratio = 2/3 × 1/2

Ratio = 1/3.

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The distance between points (-1, 4) and (5, 4) is 6 units.

From the question, we are to determine the distance between two points.

The given points are (-1, 4) and (5, 4)

Using the formula for calculating the distance between two points

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

From the given information,

x₁ = -1

x₂ = 5

y₁ = 5

y₂ = 4

Put the parameters into the equation

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

d = √[(5 - (-1))² + (4 - 4)²]

d = √[(5 + 1)² + 0²]

d = √(6²)

d = 6 units

Hence, the distance is 6 units.

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Answer:

Step-by-step explanation: The distance between two points can be calculated using the formula:

d = √ ((x2 – x1)² + (y2 – y1)²)

where (x1, y1) and (x2, y2) are the coordinates of the two points.

In this case, the two points are (-1, 4) and (5, 4). Therefore:

d = √ ((5 - (-1))² + (4 - 4)²)

d = √ (6² + 0²)

d = √36

d = 6

Therefore, the distance between (-1, 4) and (5, 4) is 6 units.

I hope that helps! Let me know if you have any other questions!

An equation for a line that is parallel to the y - axis, based on the options, is B.x = −8.

The y - axis is a vertical line which runs straight through the x - axis. This means that the coordinates of the y - axis are expressed in terms of 0. The y - axis intercepts the x - axis at point 0 which is why the coordinates are:

x = 0

Any line that is parallel to the y - axis will therefore be expressed in terms of x as well. The equation for a line that is parallel to the y - axis is therefore:
x = -8

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Answer:

  $1280

Step-by-step explanation:

You want the cost of flooring a cubic 4096 ft³ room at $5 per square foot.

Each dimension (length, width, height) of the room is the edge length of a cube with a volume of 4096 ft³.

  V = s³

  4096 = s³

  ∛4096 = s = 16 . . . . feet

The floor area is the square of the edge length:

  A = s²

  A = (16 ft)² = 256 ft²

At $5 per square foot, the cost of flooring will be ...

  ($5/ft²)(256 ft²) = $1280

The hardwood floors will cost $1280.

The highest common factor (HCF) for the expression 4x³yz"; 30x²y²z² and 36x³y²z³ is 2x²yz.

The H.C.F. defines the highest common factor present in between given two or more numbers or mathematical expression.

We shall derive the HCF of the three expressions by expressing them as multiples of their factors as follows;

4x³yz = 2 × 2 × x × x × x × y × z

30x²y²z² = 2 × 3 × 5 × x × x × y × z × z

36x³y²z³ = 2 × 2 × 3 × 3 × x × x × x × y × y × z × z × z

HCF = 2 × x × x × y × z

HCF = 2x²yz

Therefore, the highest common factor for the expressions 4x³yz"; 30x²y²z² and 36x³y²z³ with the understanding of HCF is 2x²yz.

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The hare ran 5.8 mph to win the race.

Speed is a scalar quantity that refers to "how fast an object is moving." Speed can be thought of as the rate at which an object covers distance.

Given that, a tortoise and a hare run in the NYC marathon for 26.2 miles, the hare crosses the finish line first in a time of 4.5 hours.

Speed = distance/time

Speed of hare = 26.2/4.5 = 5.8 mph

Hence, The hare ran 5.8 mph to win the race.

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The height of the conical tent is 15 metres.

acc toour question-

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Answer:

x=-3

Step-by-step explanation:

we can fill the y into the first equation since we already know what it is equal to

5x+4(1-x)=1

5x+4-4x=1

x+4=1

  -4. -4

x=-3

Hopes this helps please mark brainliest

Answer:

5x + 4y = 1

Answer: x = 1/5 - 4y/5

y = 1 - x

Answer: x = −y + 1

Step-by-step explanation:

Please give the brainliest, really appreciated.

An expression which is factored form of given expression -4.5n+3 is −3(1.5n−1)

The correct answer is an option (A)

In this question we have been given an expression -4.5n + 3

We need to identify an expression which is factored form of given expression.

If we simplify the factored form then it must be a give expression.

consider ,A. −3(1.5n−1)

= -4.5n + 3

consider an expression B. −1.5(3n+2)

= -4.5n - 3

consider C. −1.5(−3n+2)

= 4.5n - 3

consider D. −3(1.5n+1)

= -4.5n - 3

Therefore, an expression which is factored form of given expression -4.5n+3 is −3(1.5n−1)

The correct answer is an option (A)

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Answer:

The range is 9.

Step-by-step explanation:

The range of a data set is the difference between the maximum and the minimum values.

Let's begin by putting the set of values in order from lowest to highest.

12, 14, 15, 16, 17, 17, 21

The lowest value is 12, and the highest value is 21.

Let's subtract the minimum value from the maximum value to determine the range:

21 - 12 = 9

Hope this helps :)

Answer:

Step-by-step explanation:

Put them in order (lowest to highest)

so,

12, 14, 15, 16, 17, 17, 21

to find the range : highest - lowest

21 - 12 which is 9

Thanks

The polynomial is, -24x⁴y⁵+16x²y³. One of the factor is (-8x²y³),So other factor is 3x²y²-2 by the factorization method.

Sums of terms of the form kxn, where k is any number and n is a positive integer, make up polynomials. For instance, the polynomial 3x+2x-5. a description of polynomials. The terms degree, standard form, monomial, binomial, and trinomial are all covered in this video. An expression that consists of variables, constants, and exponents and is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable). 

Here,

The polynomial is,

=-24x⁴y⁵+16x²y³

One of the factor is (-8x²y³)

=-8x²y³*(3x²y²-2)

So other factor is 3x²y²-2.

One of the factor is (-8x²y³),So other factor is 3x²y²-2 by the factorization method for the The polynomial -24x⁴y⁵+16x²y³.

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The 95% confidence interval for the average number of units that students in their college are enrolled in is (11.46,12.53)

We are given the number of students, n =  46, and  the mean of the sample which is x= 12.5, and the standard deviation of the sample which is s= 1.8 , the formula  we are referring to for calculating the confidence interval which is :

x ± t (s/√(n))

since for  this case, the degree of freedom is one less than the mean, which is 45, the critical value for the confidence of 95% with  the degree of freedom of 45 is 2.015

x + t(s/√(n)) = 12.5 +2.015*(1.8/6.78)=  12.53

x - t(s/√(n))= 12.5 -2.015*(1.8/6.78)= 11.46

The interval is (11.46,12.53)

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The required value of ∠ABC in the given triangle is 50°

The relation between interior and exterior angles of the triangle are related as, the sum two interior angles of triangle is equal to the opposite exterior angle of that triangle.

As we see in the given question, the sum of angle ∠A and ∠B is equal to the exterior angle which is 145°

⇒ 2x° + 95° = 145°

⇒ 2x° = 145° - 95°

⇒ 2x = 50°

Thus, required answer of angle ∠ABC is 50°

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The correct answer is (A) I and IV. The first and fourth quantities are discrete.

What is discrete quantity?

A discrete quantity has a limited range of possible values. For instance, the number of students in a classroom is a discrete quantity because the range of possible values is not continuous and can only be a positive integer.

It can only have certain values, not just any value, according to the definition of discrete. One discrete quantity is the number of sheep in a field.

Consider, the first statement

"The number of students who passed the English test".

In this quantity a certain value is considered.

Hence this quantity is discrete.

In second and third statement there is no certain quantity is considered.

Hence, these quantities are not discrete quantities.

Also in the last statement there is come quantity of pages is considered.

Hence, this quantity is discrete quantity.

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The temperature at the end of the day was 87 degrees. The temperature had decreased twice during the day, once by 9 degrees and another time by 7 degrees.

Which expression shows what the temperature was at the start of the day?

71+9+771+9+7

87−9−7

87+9+7

87+9−7

In 42504 ways can 5 cards be drawn from a well-shuffled deck of 24 playing cards.

Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant. You can choose the components of combos in any order. Permutations and combinations can be mixed up. A combination in mathematics is a choice made from a group of separate elements where the order of the selection is irrelevant.

Given,

Ways can 5 cards be drawn from a well-shuffled deck of 24 playing cards:

Through combination:

²⁴C₅

24!/51(24-5)!

Simplifying:

24!/5!(19!)

24 × 23× 22× 21× 20×19!/5! × 19!
24 × 23 × 22 × 21 × 20/ 5× 4 × 3 × 2 × 1

42504

In 42504 ways can 5 cards be drawn from a well-shuffled deck of 24 playing cards.

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Answer:

Step-by-step explanation:

Expand: 36e^2+12e-48=e

Subtract e from both sides 36e^2+11e-48=0

Using the quadratic formula, e=(-11+-sqrt7033)/72

Answer:

20°,70°

Step-by-step explanation:

X+y+90=180

X+y=90

20+y=90

y=70°

2x+180-40=180

2x=40

X=20°

The measures of angles of the triangle is x = 20° and y = 70°

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔABC

Now , let the side be represented as BD , which cuts AC at point D

And , the measure of BD = measure of DC ( given )

And , the measure of ∠ABC = 90°

The measure of ∠BDA = 40°

So , the measure of angle ∠BDC = 140° ( angles on a straight line )

Now , the measure of angle ∠DBC = measure of ∠BCD ( given )

So , the measure of x = ( 180 - 140 ) / 2

x = 20°

And , the measure of y = 180° - 40° - 70°

y = 70°

Hence , the angles of triangle are x = 20° and y = 70°

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The length (in cm) of the hypotenuse is 17 cm.

According to Pythagoras' theorem, the square of the hypotenuse of a triangle, which has a straight angle of 90 degrees, equals the sum of the squares of the other two sides.

H² = P² + B²

Let the hypotenuse = H

Shortest side = B

Third side = P

So, according to the question

H = 2B +1    ..... (1)

P = 2B -1     ..... (2)

Use Pythagoras' theorem,

H² = P² + B²

(2B+1)² = (2B-1)² + B²

4B² + 1 + 4B = 4B² + 1 - 4B + B²

4B = - 4B +B²

B² =-8B

B = - 8

But the length cannot be negative, so B = 8 cm

The length of the shortest side = 8 cm

So the hypotenuse will be

H = 2B + 1

= 2(8) + 1

= 17 cm

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Answer:

see explanation

Step-by-step explanation:

m + 20 and 100 are vertically opposite angles and are congruent , then

m + 20 = 100 ( subtract 20 from both sides )

m = 80

The angles are vertically opposite angles and value of m is 80°

Vertically opposite angles are angles that are opposite one another at a specific vertex and are created by two straight intersecting lines.

Given two angles which are Vertically opposite to each others,

We know Vertically opposite angles are equal to each other, so,

m + 20° = 100°

m = 100° - 20°

m = 80°

Hence, the value of m is 80°

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2(f-25) = 86 is the equation use to find f, the cost of each drill set at full price.

An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.

Given that, Ariana purchased two drill set from a sale, each of them costs $25 less than its original price,

If f is the original price, then she must have purchased it at (f-25) and for two sets it's 2(f-25)

She paid $86 for her purchase, so,

2(f-25) =  $86

Hence, 2(f-25) = 86 is the equation use to find f, the cost of each drill set at full price.

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