Plz help me I’ll give branliest!!

Answer:

y = 3, m=0, b=3

Step-by-step explanation:

Hi there! If you look at the graph, we have a horizontal like crossing through y=3. your m value will be 0 as there is no slope. For your b value, it will be 3 as the y-intercept is 3.

I hope this helps!

The 10th term of the Geometric Sequence {3,4,16/3....} is 262144/6561.

The \(n^{th}\) term of the Geometric Sequence is

given by the formula

aₙ = a*rⁿ⁻¹

where , a is the first term , r is the common ratio .

in the question ,

the sequence is given as {3,4,16/3....}

here we need to find the common ratio(r) ,

we know , r = a₂/a₁

So , r= 4/3 .

Since we need to find the 10th term  , so n=10 .

Substituting the values in the nth term formula , we get

a₁₀ = (3)*(4/3)¹⁰⁻¹

= 3* (4/3)⁹

= 4⁹/3⁸

= 262144/6561

The 10th term is 262144/6561.

Therefore , the 10th term of the Geometric Sequence {3,4,16/3....} is  262144/6561.

The given question is incomplete , the complete question is

Find the 10th term of the Sequence  {3,4,16/3....} ?

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The percentage of the total trip that they traveled when Samuel fell asleep is 99%.

Given that Samuel's family took a road trip to Mount Rushmore. Samuel fell asleep after they had traveled 990 miles and the total length of the trip was 1000 miles,

The percentage of the total trip that they traveled when Samuel fell asleep will be:

= Trip feel asleep / Total trip × 100

= 990/1000 × 100

= 99%

The percentage is 99%.

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The confidence interval for a proportion should be constructed since the variable of interest is a person's opinion, which is a qualitative variable.

A trait that cannot be quantified is referred to as a categorical variable (also known as a qualitative variable).

Nominal or ordinal categorical variables are also acceptable.

Since the variable of interest is a person's opinion, which is a qualitative variable, the confidence interval for a proportion should be built.

Statistical Variables Qualitative variables also referred to as categorical variables are variables without a built-in sense of hierarchy.

As a result, they are quantified using a nominal scale.

For instance, a qualitative variable is a name as well as hair color (Black, Brown, Gray, Red, Yellow).

Therefore, the confidence interval for a proportion should be constructed since the variable of interest is a person's opinion, which is a qualitative variable.

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Answer:

so... sorry if this is wrong but i added it for one year only sorry not 3 years but i got $60.00 for one year.. so it might be 60.00 times 3?

Step-by-step explanation:

Answer:

yes, the question is proportional. if you multiply 9.50 by 2 you get 19 and so on and so forth. the constant rate is 9.50

By SAS similarity, ΔKML and ΔRTL are similar triangles. Therefore, option A is the correct answer.

From the given figure, KR=9 units, RL=15 units, MT=7.5 units and TL=12.5 units.

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.

Consider ΔKML and ΔRTL, we get

RL/KL =15/(15+9)

= 15/24

= 5/8

TL/ML =12.5/(12.5+7.5)

= 12.5/20

= 5/8

Here, RL/KL=TL/ML

Here, ∠KLM≅∠RLT

By SAS similarity, ΔKML and ΔRTL are similar triangles

So, ∠KMT≅∠RTL

By SAS similarity, ΔKML and ΔRTL are similar triangles. Therefore, option A is the correct answer.

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Answer:

a

Step-by-step explanation:

got it right in edmentum

The equation of the tangent plane to f(x, y) = x^2 − 2xy + 3y^2 with slopes 6 in the positive x direction and 2 in the positive y direction is 6x - 2y - 10 = 0.

To find the equation of the tangent plane to the surface defined by f(x, y) = x^2 − 2xy + 3y^2, we need to determine the normal vector of the plane at a given point.

The gradient of the function f(x, y) gives the direction of the steepest ascent at any point. Therefore, the gradient vector will be orthogonal to the tangent plane.

The gradient of f(x, y) is given by:

∇f(x, y) = (2x - 2y, -2x + 6y)

We want the tangent plane to have a slope of 6 in the positive x direction and a slope of 2 in the positive y direction. This means that the direction vector of the plane is orthogonal to the gradient vector and has components (6, 2).

Since the normal vector of the plane is orthogonal to the direction vector, it will have components (-2, 6).

At a given point (x₀, y₀) on the surface, the equation of the tangent plane can be written as:

-2(x - x₀) + 6(y - y₀) = 0

Expanding and simplifying, we get:

-2x + 2x₀ + 6y - 6y₀ = 0

Rearranging, we obtain:

-2x + 6y - (2x₀ - 6y₀) = 0

Comparing this with the equation of the tangent plane 6x - 2y - 10 = 0, we find that x₀ = -5 and y₀ = -1.

Therefore, the equation of the tangent plane to f(x, y) = x^2 − 2xy + 3y^2 with slopes 6 in the positive x direction and 2 in the positive y direction is 6x - 2y - 10 = 0.

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Population growth rate of the bacterial culture can be expressed as a function of time as N = \(e^{kt + C}\)

Step-by-step explanation:

If we assume the number of bacteria at any time (t) is (N). Then, the population of bacterial culture at that time is given by

N = N (t)

It is also given that the rate at which the bacterial culture will grow is proportional to its size. So, the growth rate is given by

dN/dt ∝ N

Removing the sign of proportionality, we get a constant

dN/dt = KN

We get

∫1/N dt = ∫K dt

After integration

ln N = Kt + C

N = \(e^{kt + C}\)

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The question is incomplete. Therefore, the complete question is

A bacteria culture starts with 520 bacteria and grows at a rate proportional to its size. After 6 hours there will be 3120 bacteria. ?

1) Express the population after t hours as a function of t. population:

The function in vertex form that models the path of the stream is:

\(y = (-5/9)(x - 3)^2 + 5\)

A location where two or more straight lines or curves intersect is referred to as a vertex . A vertex in geometry is sometimes referred to as a corner or an intersection point. The phrase is frequently used to refer to the highest or lowest point on a curve or surface, the place where two lines intersect to make an angle, and the point where two sides of a polygon meet.

The vertex form of the equation of a parabola is given by:

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

where (h, k) represents the vertex of the parabola.

Using the given vertex and the point (6,0), we can find the value of "a" and plug it into the vertex form to get the equation of the parabolic path of the water stream.

Step 1: Find the value of "a"

Since the vertex is (3,5), we know that:

h = 3

k = 5

Using the point (6,0), we can find the value of "a" as follows:

\(0 = a(6 - 3)^2 + 5\)

\(0 = 9a + 5\)

\(9a = -5\)

\(a = -5/9\)

Step 2: Plug in the values of h, k, and a into the vertex form:

\(y = (-5/9)(x - 3)^2 + 5\)

Therefore, the function in vertex form that models the path of the stream is:

\(y = (-5/9)(x - 3)^2 + 5\)

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Answer:

TZ = 10 units

UY = 12 units

ZW = 11 units

Step-by-step explanation:

Point Z is the centroid of ΔTUV.

Since, centroid of a triangle is located on each median so that it divides each median in the ratio of 2 : 1

Therefore, TZ = 2(ZX)

TZ = 2(5) = 10 units

UY = UZ + ZY

     = UZ + \(\frac{1}{2}(UZ)\)

     = \(\frac{3}{2}UZ\)

     = \(\frac{3}{2}\times 8\)

     = 12 units

ZW = \(\frac{1}{3}(VW)\)

      = \(\frac{1}{3}(33)\)

      = 11 units

Answer:

18 units

Step-by-step explanation:

First, -9 to 0 is 9 units.  Next 0 to 9 is also 9 units.  Added up, this gives a total of 18 units.

Hope this helps! :)

Answer:

18

Step-by-step explanation:

You can do this two ways:

From -9 to 0, the distance is 9 units.

From 0 to 9, the distance is 9 units.

Add the two distances together, and you get 18 units.

You can also do this with the distance formula for a number line.

The distance, d, between numbers a and b on the number line is:

d = |a - b|

Our numbers are -9 and 9. It does not matter which number you call a and which you call b. Since the expression has absolute value in it, the answer will always come out non-negative.

d = |-9 - 9| = |-18| = 18

If you do it the other way, you get:

d = |9 - (-9)| = |9 + 9| = |18| = 18

Answer:

\(\boxed{\sf{view \: explanation}}\)

Step-by-step explanation:

To convert percentages into a fraction, divide the value by 100.

\(\displaystyle 800\% =\frac{800}{100} =8\)

\(\displaystyle 375\% = \frac{375}{100} =\frac{15}{4} =3\frac{3}{4}\)

\(\displaystyle 240\% = \frac{240}{100} =\frac{12}{5} =2\frac{2}{5}\)

Answer:

see below

Step-by-step explanation:

To change a percent to a fraction, divide by 100 and simplify

800% = 800/100

Dividing by 100

          = 8/1

         =8

375% = 375/100

        Dividing by 25

          =15/4

Changing to a mixed number

4 goes into 14 3 times with 3 left over

            3 3/4

240% = 240/100

Dividing by 20

           =12/5

Changing to a mixed number

 5 goes into 12  2 times with 2 left over

       = 2 2/5

Total number of rolls are 60, they used 1 and half roll per week. So, 40 weeks will it take them to run out of rolls of paper towels.

Paper towels are the disposable paper made up from the paper. It is an absorbent, which designed to absorb liquid. It is made up of pulp like tissue paper which are meant to be single time use only.

Paper towel is made up of cellulose fibers who are bigger in size consist of many small molecules linked together. Paper towels are used in drying, wiping, cleaning, toilets etc.

For given information,

Total rolls= 60

They used up 1 roll in 1.5 week or 1 week and half

So,

60 + 60*1/2

60+30= 90 weeks

Thus, total number of rolls are 60, they used 1 and half roll per week. So, 40 weeks will it take them to run out of rolls of paper towels.

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Answer:

270

Step-by-step explanation:

1102-832

Answer:

12/17 miles

Step-by-step explanation:

Make the denominators equal -> 1/4 = 17/68, 3/34 = 6/68

17/68 inches represent 2 miles

The ratio between 17/68 and 6/68 is 17/68 : 6/68 = 17/6
So, the ratio between the distance should also be 17/6

-> 3/34 inches represent 2 : 17/6 = 12/17 (miles)

Hope it helps :)

Answer:

33/100

Step-by-step explanation:

Answer:

Step-by-step explanation:

3333333333333 / 100000000000

Answer:

1800

Step-by-step explanation:

30 x 60

The range measures the spread of the data, the standard deviation measures the variability, and the IQR represents the middle 50% of the data.

To find the range of the distribution, subtract the smallest value from the largest value. In this case, the smallest percent of air is 1 and the largest is 60. Therefore, the range is 60 - 1 = 59.To calculate the standard deviation, you'll need to use a formula.

The standard deviation measures the spread of data around the mean. A higher standard deviation indicates greater variability. To find the interquartile range (IQR), you need to subtract the first quartile (Q1) from the third quartile (Q3).

The quartiles divide the data into four equal parts. The IQR represents the middle 50% of the data and is a measure of variability. To recalculate the range, standard deviation, and IQR for the other 13 bags of chips, you need to exclude the Fritos bag with 19% of air. Then, compare these values to the ones you obtained earlier.

In conclusion, the range measures the spread of the data, the standard deviation measures the variability, and the IQR represents the middle 50% of the data. Comparing the values between the full dataset and the dataset without the potential outlier helps to analyze the impact of the outlier on these measures.

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I believe the answer would be $12.50. multiply the original price and the discount percentage and divide that by 100. once you get the amount saved, which in this case would be $2.75, subtract that from the original price.

Given that pq=qr=rs=sp, what additional information is required to conclude that pqrs is a square?

In order to conclude that pqrs is a square, the additional information required is that the sides of the quadrilateral are perpendicular to each other (i.e. they form 90-degree angles).

We know that pq=qr=rs=sp, which means that all four sides of the quadrilateral are equal in length.

However, this information alone is not sufficient to conclude that pqrs is a square, as there are many other quadrilaterals that have all four sides equal in length.

For instance, a rectangle has all four sides equal in length, but its sides are not necessarily perpendicular to each other. Thus, we require the additional information that the sides of pqrs are perpendicular to each other in order to identify that pqrs is a square.

In conclusion, the additional information needed to conclude that pqrs is a square is that the sides of the quadrilateral are perpendicular to each other (i.e. they form 90-degree angles).

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The equation of the line that models the amount of money, y, in her account x months from now is y=200+20x.

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is constant.

Given Christie has $200 in her bank account. Every month, she deposits $20 into her account. Therefore, we can write her balance after one month as,

Account balance after 1 months, y = 200 + 20

Account balance after 2 months, y = 200 + (2)20

Account balance after 3 months, y = 200 + (3)20

Therefore, the Account balance after x months can be written as,

y = 200 + 20x

Hence, The equation of the line that models the amount of money, y, in her account x months from now is y=200+20x.

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The change-of-coordinates matrix from B to the standard basis in R^2 is P_B = [1/4 3/8; 1/8 1/16]. This matrix maps coordinates in the B basis to coordinates in the standard basis. To go the other way, we would need to invert this matrix.

Hi! To find the change-of-coordinates matrix from B to the standard basis in R^2 for the basis B = {[-1 2], [6 4]}, follow these steps:

1. Write down the given basis B as a matrix: B = [-1 6; 2 4].
2. Write down the standard basis in R^2, which is S = [1 0; 0 1].
3. Find the inverse of the matrix B, denoted as B_ inv.
4. Multiply B_ inv by the standard basis S to obtain the change-of-coordinates matrix from B to the standard basis in R^2, denoted as P_B.

To calculate the inverse of matrix B:

B_inv = (1/determinant(B)) * adjugate(B)
where determinant(B) = (-1*4) - (6*2) = -16.
and adjugate(B) is the transpose of the matrix of cofactors of B, which in this case is [4 -6; -2 -1].

Now, calculate B_inv:
B_inv = (-1/-16) * [4 -6; -2 -1] = [1/4 3/8; 1/8 1/16].

Finally, multiply B_inv by the standard basis S to obtain P_B:

P_B = B_inv * S = [1/4 3/8; 1/8 1/16] * [1 0; 0 1] = [1/4 3/8; 1/8 1/16].

Thus, the change-of-coordinates matrix from B to the standard basis in R^2 is P_B = [1/4 3/8; 1/8 1/16].

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Answer:

The answer is A.

Step-by-step explanation:

In order to simplify, you have to collect like terms :

x² - 3xy - 5xy - 7y² + 4x² + 8y²

= (x² + 4x²) + (-3xy - 5xy) + (-7y² + 8y²)

= 5x² - 8xy + y²

The indicated IQ score is given as 117.

The area under the curve is given as 0.1431

the area to the left of x = 1 - 0.1431

= 0.8569

for 0.8569 the z stat is 1.07

u = 100

sd = 15

x = u + z * sd

= 100 + 0.8569 * 15

= 116.05

approximately 117

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Find the indicated IQ score. The graph to the right depicts IQ scores of​ adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15.

xx

0.1431

A symmetric bell-shaped curve is plotted over a horizontal scale. A vertical line runs from the scale to the curve at labeled coordinate x, which is to the right of the curve’s center and peak. The area under the curve to the right of the vertical line is shaded and labeled 0.1431.

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There is a 3.51% probability that a group of 10 persons will exceed the load limit of the elevator.

To find the probability that a group of 10 persons will exceed the load limit of the elevator, we need to calculate the probability that the total weight of the group exceeds 2000 lb.

Since the weights of the people are normally distributed with a mean of 185 lb and a standard deviation of 22 lb, we can use the properties of the normal distribution to solve this problem.

First, we need to calculate the mean and standard deviation of the total weight of the group. The mean of the total weight is simply the mean weight of a person multiplied by the number of persons, which is 185 lb * 10 = 1850 lb.

The standard deviation of the total weight is calculated by taking the square root of the sum of the variances of each person's weight. Since the weights are independent, the variance of the total weight is equal to the sum of the variances of each person's weight. So, the standard deviation of the total weight is sqrt(10) * 22 lb ≈ 69.296 lb.

Next, we can use the normal distribution to calculate the probability that the total weight exceeds 2000 lb. We standardize the value using the formula z = (x - mean) / standard deviation, where x is the threshold value of 2000 lb.

Calculating the z-score: z = (2000 - 1850) / 69.296 ≈ 1.81

Finally, we look up the probability corresponding to this z-score in the standard normal distribution table or use a calculator to find the area under the curve to the right of the z-score. The probability that the group of 10 persons will exceed the load limit of the elevator is approximately 0.0351, or 3.51%.

Therefore, there is a 3.51% probability that a group of 10 persons will exceed the load limit of the elevator.

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x-intercept and y-intercept of the line y = 4x+5 is -5/4 and 5 respectively.

What is the equation straight line?

The given equation Y = mx + c is the general equation for a straight line, where m denotes the line's slope and c the y-intercept. It is the version of the equation for a straight line that is used most frequently in geometry. There are numerous ways to express the equation of a straight line, including point-slope form, slope-intercept form, general form, standard form, etc. A straight line is a geometric object with two dimensions and infinite lengths at both ends. The formulas for the equation of a straight line that are most frequently employed are y = mx + c and axe + by = c. Other versions include point-slope, slope-intercept, standard, general, and others.

The equation of the line is y = 4x+5

So the y-intercept is (x=0)

y = 5

And the x-intercept is (y=0)

4x +5 =0

x = -5/4

Hence, the x-intercept and y-intercept of the line y = 4x+5 is -5/4 and 5 respectively.

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Using simpson's rule, the arc length of the curve y = x sin x is 1.999227549442 approx 1.999228

Simpson's Rule states that, if we want to approximate a definite integral, we can split the interval of integration into n subintervals of equal width and apply Simpson's Rule to each subinterval, using the following formula: ∫abf(x)dx≈(b−a)6n[f(a)+4f(a+h)+2f(a+2h)+4f(a+3h)+2f(a+4h)+...+2f(b−2h)+4f(b−h)+f(b)] where h=(b−a)/n denotes the subinterval width. With n = 10, estimate the arc length of the curve y = x sin x:

Simpson's Rule says that ∫abf(x)dx≈(b−a)6n[f(a)+4f(a+h)+2f(a+2h)+4f(a+3h)+2f(a+4h)+...+2f(b−2h)+4f(b−h)+f(b)]where h=(b−a)/n is the subinterval width. In this example, we havea=0, b=π, andf(x)=|y′(x)|=|sinx+xcosx|.Thus, we have h=π/10=0.314159,f(0)=|sin0+0cos0|=0,f(π)=|sinπ+πcosπ|=π, andf(xi)=|sinxi+xicosxi|for i=1,...,9. Substituting the given values in the formula, we get ∫0π|y′(x)|dx≈(π−0)6·10[0+4·(0.314159)(0.5)+2·(0.628319)(0.5)+4·(0.942478)(0.5)+...+2·(2.79966)(0.5)+4·(3.11382)(0.5)+π] = 1.999227549442approx1.999228.

Comparing the answer with the value of the integral produced by your calculator.

The exact value of the integral produced by the calculator is 1.999227550934, which is correct to nine decimal places. The error in the approximation is less than 0.000001, which is negligible, so the answer is correct.

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Answer:

Her electric toothbrush makes 210,000 rotations in one week

Step-by-step explanation:

Note that:

∵ Gerry brushes her teeth for two minutes, twice a day

→ Twice means times 2

∴ Gerry brushes her teeth for 2 × 2 = 4 minutes a day

∵ Gerry's electric toothbrush rotates the brush 125 times per second

∵ 1 minute = 60 seconds

→ Multiply 125 by 60 to find the number of rotating in 1 minute

∴ Gerry's electric toothbrush rotates 125 × 60 = 7,500 in 1 minute

∵ Gerry brushes her teeth for 4 minutes a day

→ Multiply it by 4 to find the number of rotation in 1 day

∴ Gerry's electric toothbrush rotates 7,500 × 4 = 30,000 in 1 day

∵ 1 week = 7 days

→ Multiply the number of rotation in 1 day by 7 to find it in 1 week

∴ Gerry's electric toothbrush rotates 30,000 × 7 = 210,000 in 1 week

∴ Her electric toothbrush makes 210,000 rotations in one week

Answer:

\(Cost \ total= \$ 1755\)

Step-by-step explanation:

Find the total cost of a rectangular shaped carpet, given the carpets length,  width, and the cost of carpet per square foot. Using the formula for the area of a rectangle.

\(\boxed{\left\begin{array}{ccc}\text{\underline{Area of a Rectangle:}}\\\\A=l \times w\end{array}\right}\)

Where...

Given:

\(l=15 \ ft\\w=9 \ ft\\ 1 \ ft^2= \$ 13\)

Find:

\(Cost \ total = \ ?? \\)

(1) - Calculating the total area of the carpet, which is a rectangle

\(A=l \times w\\\\\Longrightarrow A=15 \ ft \times 9 \ ft\\\\\therefore \boxed{A=135 \ ft^2}\)

(2) Calculate the total cost of the carpet by multiplying the total area of the carpet by the cost of one square foot of carpet

\(Cost \ total=135 \ ft^2 \times \$ 13\\\\\therefore \boxed{\boxed{Cost \ total= \$ 1755}}\)

Thus, the total cost of the carpet is found.