NEED IT BY TODAY!! PLEASE HELP!!

The tiles that Bruce used were each of a square foot in area. The table shows the area covered by Felicia’s tiles in terms of the number of tiles used.


Number of Tiles Area Covered (sq. ft.)

9 1

18 2

27 3

Bruce and Felicia want to know whose tiles cover the most area per tile.


Q1.) Write an equation representing the area Bruce covered, y, in terms of the number of tiles he used, x.


Q2.) Write an equation representing the area Felicia covered, y, in terms of the number of tiles she used, x.


Q3.) The person whose equation has the greater unit rate is the person whose tiles cover the most area per tile. Whose equation has the greater unit rate?


Q4.) What is the slope and the y-intercept for Bruce’s equation? What is the slope and y-intercept for Felicia’s equation?


Q5.) Which line is steeper, Bruce’s or Felicia’s? Whose slope is greater? Does this match the comparison from Part C?

Therefore , the probability of at least two born on the same day of the week is  0.143

Probability is the possibility that an event will happen.This could mean that something is definitely going to happen, that it has a chance of happening, or that it is impossible. Mathematically, probability is quantified on a scale from 0 to 1.

Given:

group of 5 people at random.

We used the formula for the conditional probability

The conditional probability is,

P(A|B)=P(AUB)/P(A)

The complement rule of probability, which is the second, is

P(E) = 1 - P(e)

Calculate one by one

a) Since a week has seven days and the first person has seven possible birth dates, the likelihood of that person is:

P(1st person) = 7/7 = 1

The second person now gets the same possibilities as person 1, but he or she must match that person's day, therefore there is only one option out of seven that fits that criteria, as follows:

P(A|B) = 1/7

Then the probability is

P = 1 * 1/7 = 1/7 or 0.143

Therefore , the probability of at least two born on the same day of the week is  0.143

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Answer:

1.478 kg

Step-by-step explanation:

Considering density=mass/volume, when we rearrange, we get mass=density*volume. Therefore, as we are given the density, we just need to find the volume to know the mass. The volume of a cylinder is πhr^2, and our radius is 28/2=14, so the volume of the cylinder is π*3*14^2=588π. Then, 588π*0.8=470.4π which is about 1477.8052 g. Then, to convert to kg, we can divide this by 1000 and get about 1.478 kg.

Answer: The first pair of equations, i.e., −3.2x=0.64 and x/4 =−0.05, have exactly the same solution. In both of these equations, the value of x comes out as -0.2.

Step-by-step explanation: Simplifying the first set of equations, we get:[tex]-3.2x=0.64[/tex]

[tex]x=0.64/-3.2[/tex]

x=-0.2

 [tex]x/4=-0.05[/tex]

[tex]x=-0.05*4[/tex]

x=-0.2

Simplifying the second set of equations, we get:

[tex]3/8x=1[/tex]

[tex]x=8/3[/tex]

x=2.66

[tex]1/3x=1/8[/tex]

[tex]x=1/8*3[/tex]

x=0.375

Simplifying the third set of equations, we get:

[tex]x/3.2=1.8[/tex]

[tex]x=1.8*3.2[/tex]

x=5.76

[tex]1.8x=3.2[/tex]

[tex]x=3.2/1.8[/tex]

x=1.77

Simplifying the fourth set of equations, we get:

[tex]-3/4x=5/2[/tex]

[tex]x=5/2*-4/3[/tex]

x=-3.33

[tex]5/2x=-3/4[/tex]

[tex]x=-3/4*2/5[/tex]

x=-0.3

Therefore, the first pair of equations, i.e., −3.2x=0.64 and x/4 =−0.05 have exactly the same solution.

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Answer: Second graph from top.

Step-by-step explanation:

     Slope is written in change in y over change in x. In other words, "rise over run" so the slope of 4/5 means rise 4 units and move 5 units right. The graph that meets this requirement is the second graph, as shown in the attachment.

Particular solution for the equation a. Y" – 6y + 5y = 5x2 + 3x – 16 – 9223 is

5y = -15e²⁷ - 23/5

Particular solution for b. y" – 6y' + 5y = -10x2 - 6x + 32 +622 is 5y = 8x+ 218

Given:

y= 3e²⁷ (Solution 1)

Y = x² + 3x (Solution 2)

y" - 6y' + 5y = -9222 (Equation 1)

y" - 6y' + 5y = 5x² + 3x – 16  (Equation 2)

Where [tex]y^{"}[/tex] represents the double derivative(d²y) of y and [tex]y^{'}[/tex] represents the first derivative(dy) of the equation y.

Find Solutions for:

a. Y" – 6y + 5y = 5x² + 3x – 16 – 9223

b. y" – 6y' + 5y = -10x² - 6x + 32 +622

y= 3e²⁷ (Solution 1)(Given in the question)

Taking derivative on both sides

by = 3 de²⁷

∵ e²⁷  is constant in comparison to dy the derivative will be 0. Thus, d²y of y is also equal to zero

Then, putting values in the equation 1

- 6y' + 5y + y" = -9222 (Equation 1)

(0) - 6(0) +5(3e²⁷) = -9222

Thus, 15e²⁷ = -9222

5e²⁷ = -3074

e²⁷ = -614.8

Y = x² + 3x (Solution 2)(Given in the question)

Taking derivative on both sides

dY/dx= 2x + 3 -(iii)

taking derivative of y'

d²Y/dx² = 2

∵ 3 is a constant in dy/dx.

Then, putting values in the equation 2

y" -+ 5y - 6y'  = 5x² + 3x - 16

(2) - 6(2x + 3) +5y = 5x² + 3x - 16 + 12x - 12x

2 - 12 + 18x + 5y = 5x² +15x - 16 -12x

-10 + 18x - 15x + 5y = 5y -16 -12x

3x + 12x =10 - 16

15x = -6

x= -2/5

Putting values of x, y, dy and  d²y in equations (i) & (ii)

a. Y" – 6y + 5y = 5x² + 3x - 16 – 9223

(2)  -6(2x+3) + 5y = 5x² + 3x - 16 - 9223 + 12x - 12x

2 - 12x -18 + 5y = 5y - 9223 - 16 - 12x

2 + - 18 + 5y -6/5 -(9222 + 1)

2 + 24-6/5 + 5y + 15e²⁷ - 1 = 0

5y + 15e²⁷ + 18/5 + 1= 0

5y + 15e²⁷ + 23/5= 0

5y = -15e²⁷ - 23/5

b. y" – 6y' + 5y = -10x² - 6x + 32 +622

(0) -6(0) + 5y = -10x² - 6x +654

5y = -10x² - 6x -24x + 24x + 654

5y = -10(x² + 3x) +24x + 654

5y = -10y + 24x + 654

5y +10y = 24x + 654

15y=24x+654

5y = 8x+ 218

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Answer:

m∠B = 121°

Step-by-step explanation:

[tex]10x-19=9x-5[/tex]  

[tex]10x=9x+14[/tex]  (add 19 on both sides)

[tex]x=14[/tex]  (subtract 9x on both sides)

[tex]9(14)-5 = 126-5=121[/tex]  

Answer: m∠B=121°

Step-by-step explanation:

The opposite angles of the parallelogram are equal

Hence,

(10x-19)°=(9x-5)°

10x-19=9x-5

10x-19-9x=9x-5-9x

x-19=-5

x-19+19=-5+19

x=14

Hence,

m∠B=(9(14)-5)°

m∠B=(126-5)°

m∠B=121°

56% interest rate, to the nearest hundredth of a percent, would be necessary for Amira to end up with $840 assuming the interest is compounded continuously.

Given that,

Amira will put $580 into an account and let it sit there for 17 years.

We have to find what interest rate, to the nearest hundredth of a percent, would be necessary for Amira to end up with $840 assuming the interest is compounded continuously.

We know that,

We have a formula

A=P(1+r/n[tex])^{nt}[/tex]

Here,

A=$840

P=$580

n=12

t=17

We get

840=580(1+r/12[tex])^{12\times17}[/tex]

840=580(1+r/12)²⁰⁴

42/29=(1+r/12)²⁰⁴

r=0.56

Therefore, 56% interest rate, to the nearest hundredth of a percent, would be necessary for Amira to end up with $840 assuming the interest is compounded continuously.

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The test statistic is less than - 1.796

Hypothesisi test

H0: μ = 46

Ha: μ < 46

This is a lower tailed test

mean = 42

standard deviation = 11.9

sample size n = 12

The level of significance α = 0.05

degree of freedom df = n - 1 = 12 - 1 = 11

Test statistic = (x - mean)/(standard deviation / √n) = (42 - 46)/(11.9 / √12) = - 1.164

Test statistic = - 1.164

Using t- table, we can observe that the p - value is between 0.10 and 0.15

Using excel we find p - value = P(t < - 1.796)

p value = 0.1344

H0: μ < 46, rejection rule is

Reject H0 if test statistic < - 1. 796

Therefore, we reject the hypothesis as the test statistic is less than - 1.796

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The probability that at least one of them lives more than 87 minutes is 0.87.

Probability

In statistics, the possible way of happening a particular event is called probability.

Given,

Suppose that an experimenter studies the lifespan of members of a colony of bacteria. let t be the lifespan of a randomly chosen member of the colony. suppose the lifespan of the bacteria has an exponential distribution with expected value 100 minutes.

Here we need to find if we choose 5 members of the colony, then what is the probability that at least one of them lives more than 87 minutes.

Here we know that,

Total number of members = 5

Life span = 87 minutes

Expected value = 100 minutes

So, the probability is calculated as,

=> 87 /100

=> 0.87

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Three  pairs of fractions that have a sum of 5/6 are;

1/3 + 2/3 = 5/6

1/4 + 3/4 = 5/6

2/6 + 3/6 = 5/6

1/3 + 2/3 = 5/6: The fractions have a common bottom number of 3 because they both have the same bottom number.

Adding the top numbers: 1 plus 2 equals 3.

The total is three divided by three, which can also be written as one.

However, we need to show the total with a bottom number of 6 to match the original part. So, we make the top and bottom numbers twice as big to get 2/6. Hence , 1/3 + 2/3 = 2/6.

1/4 + 3/4 = 5/6:The fractions have the same bottom number, so their common denominator is 4.

When you add 1 and 3 together, you get 4.

The sum is four over four, and when simplified, it equals one.

Once again, we have to find a way to write the sum with a bottom number of 6 so that it is the same as the first number in the fraction. So, we take the top number and the bottom number and multiply them both by 3 to get the fraction 3/6. Hence, 1/4 + 3/4 = 3/6.

2/6 + 3/6 = 5/6:In this situation, the fractions already have the same bottom number which is 6.

Adding the top numbers together: 2 + 3 = 5.

The answer is 5/6, which is what we wanted to get.

Therefore each pair shows a different way to add numbers together, either by finding a number that both denominators can divide evenly into or by using numbers that already work well together.

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The section A has total seats of, 25000, section B has got 14,700 and section C has got total 10,300 seats.

Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.

As per the given equations in the question,

A + B + C = 50,000   (i)

42A + 24B + 18C = 1,588,200     (ii)

A = B + C    (iii)

Substitute value of A from (iii) to (i),

2B + 2C = 50000

B + C = 25,000   (iv)

Similarly, substitute value of (iii) in equation (ii),

42 (B +C) + 24B + 18C = 1588200

66B + 60C = 1588200

33B + 30C = 794100  (v)

Multiply 33 in equation (iv) and subtract from (v)

-3C = -30900

C = 10,300 seats.

Now,

B + C = 25000

B = 25000 - 10300

B = 14,700 seats.

And,

A = B + C

A = 10300 + 14700

A = 25000 seats.

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The equation of the line is y = 1/5(x + 37). The standard equation of a instantly line is y = mx + c, in which m is the gradient, and y = c is the cost in which the road cuts the y-axis.

This range c is known as the intercept at the y-axis. The equation of a instantly line with gradient m and intercept c at the y-axis is y = mx + c. The equation of a instantly line is y=mx+c y = m x + c m is the gradient and c is the peak at which the road crosses the y -axis, additionally referred to as the y -intercept.

Since equation have new line which is parallel  y = 1/5(x + 4), and 1/5 is most the gradient for the line y = 1/5(x + 4), this is the new line is 1/5.

Using the equation we can form a line in slope-point form,

[tex]\frac{y-y_{1} }{x-x_{1} } = m[/tex]

where (x₁, y₁) = (3, 8) and m = 1/5

Substituting the values for all variables into the equation, we have

[tex]\frac{y-y_{1} }{x-x_{1} } = m\\\frac{y-8 }{x-3 } = m\\[/tex]

Cross-multiplying. we have

5(y - 8) = x - 3

Expanding the bracket, we have

5y - 40 = x - 3

5y = x - 3 + 40

5y = x + 37

y = 1/5(x + 37)

So, the equation of the line is y = 1/5(x + 37)

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The required equation of the line having a slope of 33 and passing through (-3, - 3) is y = 33x + 96.

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

Let the required line be y = mx + b.

∴ - 3 = (33)(-3) + b.

- 3 = - 99 + b.

b = 96.

∴ y = 33x + 96 is the required line.

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The amount for handle soend on Christmas present will be 240.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Hadlee spent 1/4 of her money on Christmas presents she had 180 remaining.

Now,

Since, Hadlee spent 1/4 of her money on Christmas presents she had 180 remaining.

Let the amount for handle soend on Christmas present = x

Hence, The amount for handle soend on Christmas present will be;

⇒ x - 1/4x = 180

⇒ 3/4x = 180

⇒ 3x = 180 × 4

⇒ 3x = 720

⇒ x = 240

Thus, The amount for handle soend on Christmas present will be 240.

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Answer:

80+60+3x+4=180

140+3x+4=180

144+3x=180

3x=180-144

3x=36

x=12

Answer:

x = 12

Step-by-step explanation:

All triangles equal to 180 degrees so, we can set up this expression:

180 = (3x + 4) + 80 + 60

All we have to do is solve:

180 = (3x + 4) + 80 + 60

180 = 3x + 4 + 140

180 = 3x + 144

-144        -144

36 = 3x

/3     /3

12 = x

On solving the provided question we can say that - the answer is 552 and 558, as consecutive integers.

Consecutive integers are those integers in a computation formula that follow one another. No number is lost in a sequence when enumerating successive numbers, hence their spacing is always consistent. Consecutive integers are the next numbers in ascending order. The consecutive integers formula may be used to discover consecutive integers for any number or to determine if a set of numbers is consecutive or not.

First set the 3 numbers to be x-2, x, and x+2. So:

x-2+x+x+2=554

3x=554

There is no solution to this issue since three cannot split equally into 554. In reality

182+184+186=552

184+186+188=558

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By taking out the distance, we know that the image of a 5.0 cm-tall nose is located at 39.29 cm.

Distance is a measurement of how far apart two things or points are, either numerically or occasionally qualitatively.

The distance can refer to a physical length in physics or to an estimate based on other factors in common usage.

So, the equation to be used:

1 / f = 1 / p + 1 / q

The focal length of the metal salad bowl, which behaves like a mirror:

f = R / 2

f = 44/2

f = 22 cm

Suppose that the distance to the item is p = 50 cm, let's find the distance to the image:

1 / q = 1 / f  - 1 / p

1 / q = 1/22 - 1/50

1 / q = 0.0254

q = 39.29 cm

Therefore, by taking out the distance, we know that the image of a 5.0 cm-tall nose is located at 39.29 cm.

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Complete question:
You hold a spherical salad bowl 50 cm in front of your face with the bottom of the bowl facing you. The salad bowl is made of polished metal with a 44 cm radius of curvature.

Where is the image of your 5.0-cm-tall nose located?

Each right triangle has a missing value of 1.9096 where = angle, O = opposing side, A = adjacent side, and H = hypotenuse.

A right triangle, also known as a right-angled triangle, an orthogonal triangle, or historically a rectangle triangle, is a triangle with one right angle, meaning that its two sides are perpendicular. Trigonometry's foundation is the relationship between the right triangle's sides and other angles.

given,

1.9096 is what's lacking.

SOH CAH TOA's identification would appear to be:

The opposite or hypotenuse of sin

Sinθ = O/H

the following being spoken

H = 11 \sin θ = 0.1736

To replace having, use:

0.1736 = O/11

O = 11 * 0.1736

O = 1.9096

the missing value is 1.9096.

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Domain is the set of values under which a function is defined.

Range is the outcome of all the values of the domain when put in a function.

graphically, the domain is the set of values under which we get some value in the y-axis for a particular function graph .

while the range is the y-coordinate of all the points lying on the graph .

As the graph is not posted by you.

see this graph of the modulus function for instance:

        so,  R is the domain.

        but the range is only positive values of R in y.

        and,

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Lorenzo will take 4 classes total in first month. Also, his expense will be $15 and earning will be $79.

Given that:

Amount he spends = $94

His base salary = $79/ month

Additional amount = $ 3

Let x represents the money he earn for every one class.

we can no put it in a equation:

   79(1) + 3x = 94

⇒ 79 +3x = 94

⇒ 3x = 15

⇒ x = 15/3

⇒ x = 5

Therefore, Lorenzo will take 4 classes total in first month. Also, his expense will be $15 and earning will be $79.

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Answer:

The answer is 12

Step-by-step explanation:

8/x = 28/42

8/x = 2/3

(8) × 3 = (2) × (x)

2x = 24

2x/2 = 24/2

y = 12

y = 12Thus, The value of y is 12

Answer:

12

Step-by-step explanation:

use the theory of cross multiply

so 8•42=28x

        336=28x

             x=12

Answer:

14

Step-by-step explanation:

10 percent of 70 is 7

20 percent of 70 is 14

So 14 is your answer

Please vote brainliest

Thanks

Have a nice evening

Answer: All you would have to do is multiply 70 by 20% which is 14. So 14 7th graders are a total of the band.

Step-by-step explanation:

On solving the provided question, we can say that - => K not equal to 0 at x= 0 and so, center of curvature exists.

In geometry, a curve's center of curvature is located at a point that is offset from the curve by an amount equal to the radius of curvature that lies on the normal vector. zero-curvature point at infinity. The center of the curve serves as the osculating circle. The sphere holding the spherical mirror's center serves as its center of curvature. A "C" is used to symbolize this. the center of a circle with a radius equal to the radius of curvature of a particular point on the curve, whose center is on the concave side of the curve and which is normal to that point.

The curvature K at the point (x,y) is given by if C is a graph of the twice differentiable function y = f(x)y=f(x).

[tex]K = \frac{|y^{''}|}{[1 + (y')^2 ]^{3/2}}[/tex]

Curvature of the given curve at x=0x=0 is

=> K not equal to 0 at x= 0

so,

center of curvature exists.

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The average acceleration is - 1.24 m/s². The result is calculated by using calculator. See the picture in the attachment!

Average acceleration is the rate of change in velocity per unit time. The formula can be expressed as

[tex]\overline{a} = \frac{v_{2} - v_{1}}{t_{2} - t_{1}}[/tex]

Where

Calculate this average acceleration using calculator!

[tex]\overline{a} = \frac{-3.7 \: m/s \: - 13.9 \: m/s}{21.4 \: s- 7.2 \: s}[/tex]

See the picture in the attachment!

The average acceleration after rounding is

[tex]\overline{a} = -1.23943661972 \: m/s \: /s[/tex]

[tex]\overline{a} = -1.24 \: m/s^{2}[/tex]

Hence, the average acceleration from the data is - 1.24 m/s².

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A triangle has two sides of length 18.9 and 2.9. inequality which describes the possible lengths for the third side, x is 16 < x < 21.8

The triangle inequality theorem states that,

given two lengths of the sides of a triangle, the length of the third side of the triangle must be greater than the difference and less than the sum of the two given sides.

For the two sides a and b of the triangle, the third side c must follow as follows:

(a - b) < c < (a + b)

So let a = 18.9 and b = 2.9

let the length of third side of triangle be x then

(18.9 - 2.9) < x < (18.9 + 2.9)

=> 16 < x < 21.8

So , the third side of the triangle must follow the inequality 16 < x < 21.8

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The equation of the line that passes through the point (-1,2) and has a slope of -1, in point-slope form is: y - 2 = -1(x + 1).

If we know one point (a, b), that a line passes through and its slope (m), we can write the equation of that line in point-slope form as y - b = m(x - a).

Given the following:

A point (a, b) = (-1, 2)

The slope of the line (m) = -1

To write the equation of the line, substitute m = -1, a = -1, and b = 2 into y - b = m(x - a):

y - 2 = -1(x - (-1))

y - 2 = -1(x + 1).

The answer is: y - 2 = -1(x + 1).

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Answer: 8

Step-by-step explanation: Utilizing the POWER of order of operations we will multiply the 2 and 3 together first to get 6 and then add the 2 to get 8. Hope this helped :)

Answer: 8

Step-by-step explanation:

Parenthesis (Please)

Exponent (Excuse)

Multiplication (My)

Division (Dear)

Addition (Aunt)

Subtraction (Sally)

2x3= 6

6+2=8

Answer:

To represent the area of a stained-glass mosaic that sits under a parabolic arch, we can use the equation for a parabolic arch, which is of the form

y = a(x - h)^2 + k

where (h,k) is the vertex of the parabola. The width of the parabolic arch at the base is 8 feet, so the vertex of the parabola is located at (4,0). Therefore, the equation for the parabolic arch is

y = a(x - 4)^2

The height of the parabolic arch is 10 feet, so we can represent the area of the stained-glass mosaic as the region where y is between 0 and 10. This can be expressed as the inequality

0 ≤ a(x - 4)^2 ≤ 10

Solving this inequality for x gives us the solution

-2 ≤ x - 4 ≤ 2

which simplifies to

2 ≤ x ≤ 6

Therefore, the quadratic inequality that represents the area of the stained-glass mosaic is

2 ≤ x ≤ 6

Step-by-step explanation:

Answer:

-------------------------------------------------------

According to given details we have:

The equation for the parabola is y = a(x - h)² + k, where (h, k) is vertex.

Substitute h = 4, k = 10:

We know y = 0 at x = 0, substitute to find the value of a:

So the parabola is:

We are looking for the area between the parabola and the x-axis, therefore we need two inequalities:

See attached for reference.

The solution of the expression - 4 - 0.2x + 11 = - 0.8x + 10 is 28.33.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, A numerical expression and we have to solve for x or find the value of x.

- 4 - 0.2x + 11 = - 0.8x + 10.

- 0.2x - 7 = - 0.8x + 10.

- 0.2x + 0.8x = 10 + 7.

0.6x = 17.

x = 17/0.6.

x = 28.33.

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