Write the equation of each line in slope-intercept form.

ANSWER:

140

EXPLANATION:

Given:

We can go ahead and simplify as seen below;

Therefore the answer is 140

Answer:

(0,3) and (0,11)

Step-by-step explanation:

A tip for next time is that if the "0" is first, then it is the y-axis. And if the "0" is second, it is the x-axis.

Answer:

Step-by-step explanation:

The number 85, written as the sum of two square numbers in two different ways is 2² + 9² and 6² + 7²

From the question, we are to write the given number as the sum of two square numbers in two different ways.

From the given information, the given number is 85

First, we will evaluate the squares of numbers from 1 to 9

1² = 1

2² = 4

3² = 9

4² = 16

5² = 25

6² = 36

7² = 49

8² = 64

9² = 81

From above,

4 + 81 = 85

Thus,

2² + 9² = 85

and

36 + 49 = 85

Thus,

6² + 7² = 85

Hence, the sum of the squares are 2² + 9² and 6² + 7²

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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 .

Answer:

\(y^{10}-\dfrac{25}{64}x^2\)

Step-by-step explanation:

Given expression:

\((\frac58x+y^5)(y^5-\frac58 x)\)

Change the order of the terms in the first parentheses:

\(\implies (y^5+\frac58x)(y^5-\frac58 x)\)

Apply the Difference of Two Squares: \((a+b)(a-b)=a^2-b^2\)

\(\implies (y^5)^2-(\frac58x)^2\)

Apply exponent rule \((a^b)^c=a^{b\cdot c}\)

\(\implies y^{10}-(\frac58x)^2\)

Apply exponent rule \(\left(\dfrac{a}{b}\right)^c=\dfrac{a^c}{b^c}\)

\(\implies y^{10}-\left(\dfrac{5^2}{8^2}x^2\right)\)

\(\implies y^{10}-\dfrac{25}{64}x^2\)

Answer:

50

Step-by-step explanation:

20÷2=10

2x10=20 So, 5×10= 50

There are 50 red apples.

Assume each ratio is x.

2:5 becomes 2x:5x

Given: tomatoes - 20

2x = 20,

      x = 10

Now plug in:

5x = 5(10) = 50

There are 50 red apples

Answer:

-25 + 18

Step-by-step explanation:

its the last one :) good luck !!

Answer:

i think it is y=-2/3x+8

Step-by-step explanation:

Answer:

2/3, 2 to 3, 2:3

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

shapes 1 and 2.

they both show the fraction 2/3

Answer:a

Step-by-step explanation:

mnn

The no. of schnauzers in the annual dog show are 20.

Assume that there are x Schnauzers at the annual dog show.

Scotties entered in the yearly dog show: x + 3

There are 2x - 5 Wirehaired Terriers entered in the annual dog show.

There are 78 dogs in all competing in the yearly dog show.

Consequently, the equation becomes

x + x + 3 + 2x - 5 = 78.

4x - 2 = 78

4x = 78 + 2

4x = 80

x = 80/4

  = 20

In the yearly dog show, there are 20 Schnauzers. I hope you can understand the process without too much trouble. It is crucial to thoroughly study the equation so that you can easily solve the issue.

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False. The weight of a variable in a standardized predictor environment does not necessarily indicate that the variable has a higher discriminating power.

Discriminating power is determined by the correlation of a predictor variable with the outcome variable. We can calculate the correlation between a predictor variable and an outcome variable using Pearson's correlation coefficient, which is represented by the formula:

r = (NΣXY - (ΣX)(ΣY)) / √[(NΣX2 - (ΣX)2)(NΣY2 - (ΣY)2)].

In this formula, N is the sample size, ΣX is the sum of the predictor variable, ΣY is the sum of the outcome variable, ΣXY is the sum of the products of the predictor and outcome variables, and ΣX2 and ΣY2 are the sums of the squares of the predictor and outcome variables, respectively. The Pearson's correlation coefficient ranges from -1 to +1, with +1 indicating perfect positive correlation, 0 indicating no correlation, and -1 indicating perfect negative correlation. A higher correlation coefficient indicates a higher discriminating power.

Therefore, the weight of a variable in a standardized predictor environment does not indicate whether or not the variable has a higher discriminating power; this is determined by the correlation between the predictor and outcome variables.

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Yes, the given statement is true if the variance of the population 'a' is smaller than the variance of population 'b' it represents that population 'b' is more variable than 'a'.

Therefore, the given statement is true for the variance of population 'a' and 'b'.

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The standard normal curve, also known as the standard normal distribution or the z-distribution, is a specific probability distribution that follows a bell-shaped curve. The area under the standard normal curve to the right of z = 3 is approximately 0.0013.

For the area under the standard normal curve to the right of z = 3, we need to calculate the cumulative probability from z = 3 to positive infinity.

The standard normal distribution, also known as the z-distribution, has a mean of 0 and a standard deviation of 1. It is a symmetric bell-shaped curve that represents the distribution of standard scores or z-scores.

Using statistical tables or software, we can find the cumulative probability associated with z = 3, which represents the area under the curve to the left of z = 3.

The cumulative probability for z = 3 is approximately 0.9987.

For the area to the right of z = 3, we subtract the cumulative probability from 1.

Therefore, the area to the right of z = 3 is approximately 1 - 0.9987 = 0.0013.

In conclusion, the area under the standard normal curve to the right of z = 3 is approximately 0.0013.

This means that the probability of randomly selecting a value from the standard normal distribution that is greater than 3 is approximately 0.0013 or 0.13%.

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Answer:

the answer should be 12

Step-by-step explanation:

Answer: \(y=3\)

Step-by-step explanation:

The intersection point of the graphs is the solution. So, you need to find the \(y\)-coordinate of the intersection point.

Answer:

i am sorry i don't know the answer

i love you

Step-by-step explanation:

A scatter plot in Excel is the type of chart that can plot a point at its Cartesian coordinates using an x-coordinate and a y-coordinate.

The type of chart in Excel that plots a point at its Cartesian coordinates using an x-coordinate and a y-coordinate is a Scatter Plot. A scatter plot is a type of graph in which individual data points are represented by dots on a graph. Each data point has two coordinates: the x-coordinate and the y-coordinate, which are used to plot the point on the graph.

In Excel, to create a scatter plot, you need to first select your data, then go to the Insert tab and click on the Scatter chart button. You can then choose the type of scatter plot you want to create. Once the chart is created, you can add data labels to show the x-coordinate and y-coordinate of each data point.

In summary, a scatter plot in Excel is the type of chart that can plot a point at its Cartesian coordinates using an x-coordinate and a y-coordinate.

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Answer:

plugg in x values into the given functions.

it's option A

70 grams of protein are needed per day by a male non-athlete, weighing 87 kilograms.

87 kg x 0.8 g protein/kg/day

= 69.6 g protein/day,

Rounded up to 70 g/day.

Maximum American adults eat approximately a hundred grams of protein consistent with a day or roughly two times the advocated amount. Even on a vegan weight-reduction plan people can effortlessly get 60 to eighty grams of protein for the duration of the day from foods like beans, legumes, nuts, broccoli, and entire grains.

The encouraged Dietary Allowance (RDA), which is the minimal amount you want to be healthy, is 0.8 grams in line with a kilogram (zero.36 grams consistent with pound) of body weight in keeping with day 46 grams for a median woman.

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Answer:

It is in step 2

Step-by-step explanation:

they don't multiply the 5 as well

Answer:

The sum of 2 numbers is 17. One is 3 less than 2/3 of the other number. What is the lesser number

Step-by-step explanation:

The theoretical probability of drawing a blue marble from a jar containing 21 brown and 19 blue marbles is 19/40, or 0.475.

To calculate this, divide the number of blue marbles by the total number of marbles in the jar. 19 divided by 40 equals 0.475, or 19/40. This means that there is a 47.5% chance of drawing a blue marble from the jar.

The probability of drawing a specific marble from the jar can be expressed using the formula P(A) = n(A)/n(T).

In this example, the probability P(A) is the chance of drawing a blue marble, n(A) is the number of blue marbles (19) and n(T) is the total number of marbles in the jar (40). Therefore, P(A) = 19/40 = 0.475.

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Answer and Step-by-step explanation:

First, solve for the volume of the sphere, then solve for the height of the cone using the volume of the sphere (which is said to be equal to the volume of the cone) and the radius given.

Volume formula of Sphere

V = \(\frac{4}{3} \pi r^2\)

Substitute 1 in for r

\(\frac{4}{3} \pi (1)^2 = \frac{4}{3} \pi = 4.189\) = Volume

Finding the Height of a Cone

Volume formula for Cone: \(V = \pi r^2\frac{h}{3}\)

Solve for h

Multiply both sides by 3, then divide by pi and r^2.

\(h = \frac{3V}{\pi r^2}\)

Plug in the volume and the radius.

\(h = \frac{3(4.189)}{\pi (1)^2}\)

Simplify

\(h = \frac{12.567}{\pi }\)

h ≈ 4

4 is approximately the height.

#TeamTrees #PAW (Plant And Water)

The straight-line distance between penny and Lisa is 70.1 feet if Lisa is laying on a towel at the beach, which is 50 feet from the base of the hotel.

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

Let's suppose the distance between the Lisa and Penny is x feet.

We can draw a right-angle triangle for this situation.

As we can see in the right angle triangle.

tan54.5 = x/50  (from the right-angle triangle)

x = 50tan54.5

x = 70.09 ≈ 70.1 feet

Thus, the straight-line distance between penny and Lisa is 70.1 feet if Lisa is laying on a towel at the beach, which is 50 feet from the base of the hotel.

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The linear equation for the line passing through the points (0, 9) and (13, 61) can be found using the slope-intercept form, which is y = 4x + 9, where 4 represents the slope and 6 represents the y-intercept.

To find the slope of the line, we use the formula:

m = (y2 - y1) / (x2 - x1)

Using the coordinates of the given points, we have:

m = (61 - 9) / (13 - 0) = 52 / 13 = 4

Now that we have the slope, we can determine the y-intercept, b, by substituting the values of one of the points into the slope-intercept form and solving for b. Let's use the point (0, 9):

9 = 4(0) + b

b = 9

Therefore, the linear equation for the line passing through the points (0, 9) and (13, 61) is:

y = 4x + 9

This equation represents a straight line where the y-coordinate is equal to four times the x-coordinate plus nine.

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A 99% confidence interval for the proportion of college students who smoke for the given standard deviation is  (0.021. 0.045).

What is standard deviation?

Standard Deviation is a measure that shows what quantity variation (such as unfold, dispersion, spread,) from the mean exists. the quality deviation indicates a “typical” deviation from the mean. it's a well-liked live of variability as a result of it returns to the first units of live of the info set.

Main body:

formula for confidence interval is :

m = p-bar ± z*√p(1-p)/n

given information =

n= 650

p - bar = 25/650 = 1/26

C.I. = 99% = 0.99

we need to find value of 0.99 in z -table

z = 2.33

substituting value ,

0.038 ± 2.33√( 0.038(1-0.038))/650

0.038 ± 2.33 * 0.075

0.038 ± 0.017

(0.021. 0.045)

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The range of the possible values of r^2 is 0 to 1. It represents the proportion of the dependent variable’s variance that can be explained by the independent variable(s).


The coefficient of determination, often denoted as r^2, measures the proportion of the dependent variable’s variance that can be explained by the independent variable(s) in a statistical model. The value of r^2 ranges from 0 to 1.
A value of 0 for r^2 indicates that the independent variable(s) does not explain any of the variance in the dependent variable. On the other hand, a value of 1 implies that the independent variable(s) fully explain the observed variance in the dependent variable.
Therefore, the range of the possible values of r^2 is 0 to 1. Any positive numerical value within this range indicates a degree of explanatory power, while values outside this range are not meaningful in the context of r^2. It serves as a useful tool for assessing the strength of a statistical relationship and the predictive ability of a model.

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Every quadratic nonresidue of p is a primitive root of p, when p = 2^k + 1 is primeIf p = 2^k + 1 is a prime number, we want to show that every quadratic nonresidue of p is a primitive root of p.

In other words, we aim to prove that if an element x is a quadratic nonresidue modulo p, then it is also a primitive root of p.

Let's assume p = 2^k + 1 is a prime number. To prove that every quadratic nonresidue of p is a primitive root of p, we can use the properties of quadratic residues and quadratic nonresidues.

A quadratic residue modulo p is an element y such that y^((p-1)/2) ≡ 1 (mod p), while a quadratic nonresidue is an element x such that x^((p-1)/2) ≡ -1 (mod p).

Now, let's consider an element x that is a quadratic nonresidue modulo p. We want to show that x is a primitive root of p.

Since x is a quadratic nonresidue, we know that x^((p-1)/2) ≡ -1 (mod p). By Euler's criterion, this implies that x^((p-1)/2) ≡ -1^((p-1)/2) ≡ -1^2 ≡ 1 (mod p).

Since x^((p-1)/2) ≡ 1 (mod p), we can conclude that the order of x modulo p is at least (p-1)/2. However, since p = 2^k + 1 is a prime, the order of x modulo p must be equal to (p-1)/2.

By definition, a primitive root of p has an order of (p-1). Since the order of x modulo p is (p-1)/2, it follows that x is a primitive root of p.

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Answer:

Consider x^ {2}-4x+3. Factor the expression by grouping. First, the expression needs to be rewritten as x^ {2}+ax+bx+3. To find a and b, set up a system to be solved. a=-3 b=-1. Since ab is positive, a and b have the same sign. Since a+b is negative, a and b are both negative. The only such pair is the system so

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

Just as you find it easiest to ask someone else to find the roots for you, I find it easiest to use a graphing calculator to find the roots. It shows the roots to be ...

If you're searching for roots by hand, the usual process is to make a guess based on Descartes' Rule of Signs, and the Rational Root Theorem. Then factor out that root using synthetic division or long division to reduce the polynomial degree.

__

This has 3 sign changes, so 1 or 3 positive real roots. If odd-degree terms change signs, there is one sign change, indicating 1 negative real root. The Rational root theorem tells you the rational roots will be divisors of 4:

  ±1, ±2, ±4

Both even-degree terms and odd-degree terms have coefficients that sum to zero. This indicates that 1 and -1 are both roots of the equation. Factoring those out gives ...

  (x -1)(x +1)(x^2 -4x +4) = 0

The quadratic is a perfect square, so the full factorization is ...

  (x +1)(x -1)(x -2)² = 0

Roots are -1, 1, and 2 (multiplicity 2).

__

The rule of signs tells you there is one positive real root and 0 or 2 negative real roots. The rational roots will be divisors of 105, so will be any of ...

  ±1, ±3, ±5, ±7, ±15, ±21, ±35, ±105

Various other ways of estimating roots suggest the magnitudes will be less than ∛105 +√1 +9 ≈ 14.7. The sum of coefficients tells you the positive root is greater than 1. Trying x=3 shows that to be the positive real root. Factoring it out gives ...

  (x -3)(x² +12x +35) = 0

The quadratic can be further factored, so we have ...

  (x -3)(x +5)(x +7) = 0

Roots are -7, -5, and 3.