What is the y-intercept of the function y = log4 (2x+64) +3?

Answer:

VA: x = 1, x = -1

HA: y = 0

x-int: (4, 0)

y-int: (0, 4)

Step-by-step explanation:

x-int:

0 = (x-4)/((x-1)(x+1))

0 = (x-4) because the (x-1)(x+1) are multiplied by 0

4 = x

x = 4

(4, 0)

y-int:

y = (0 - 4)/((0 - 1)(0 + 1))

y = (-4)/((-1)(1))

y = (-4)/(-1)

y = 4/1 = 4

(0, 4)

Answer:

===========

Note:

Other sides are 2 and 11. This is not a correct question as sum of two smaller sides (2 + 6) is less than the longest one (11), hence there is no such possible triangle.

The variance of the number of packages that will be filled before the process is stopped will be 600 when the probability of falling outside the specification is 0.04.

Variability is measured by the variance. The average of the squared deviations from the mean is used to calculate it. The degree of spread in your data set is indicated by variance. The variance is greater in relation to the mean the more dispersed the data. In statistics, the variance is used to assess how accurately the mean summarizes all of the data. For instance, more range exists within the set the higher the variance. 

P(fail)=0.04

P(pass)=0.96

variance=(1-P)/P²

=(1-0.04)/0.0016

=0.96/0.0016

variance=600

When the likelihood of falling outside the specification is 0.04, the range of packages that will be filled before the process is stopped is 600.

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Answer:

Step-by-step explanation:

slope=change in y over change in x

6-2=4

6--2=6+2=8

-4/-8=1/2

Step-by-step:

1)Combine multiplied terms into a single fraction

1/7a+ 1/7

1a/7+1/7

2)Multiply by 1

3)Combine fractions with a common denominator

Solution

a+1/7

Hope That helps!

Answer:

See below

Step-by-step explanation:

Find slope using two convenient integer coordinates

(-1,4)  and (1, -8) are convenient

  slope = (y1-y2) / (x1-x2) = (4 - -8) / ( -1 -1) =  12/-2 = -6

the y-axis intercept is -2  ( by looking at the graph)

y = -6x -2      Done.

The probability that there are no counts in a 30 second interval is 0.284

What is probability ?

Probability refers to potential.This branch of mathematics deals with the occurrence of a random event. The value's range is 0 to 1. Before we can determine the probability that a particular event will occur, we must first know the total number of outcomes.

Given that,

Assume that a Geiger counter records counts using a poisson process, with an average rate of 2 counts per minute.

0.284

P(X < 10 Seconds)  = P(X<1/6 minutes) = F(1/6) = 1-e-2*1/6 = 1-e-1/3 = 0.284

Therefore, the  probability that there will be no counts in a 30-second period is 0.284.

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Answer:

x=[tex]log_{2} 7/9[/tex]

Step-by-step explanation:

4-9×2^x+2+1=0

4-9×2^x+3=0

4+3-9×2^x=0

7-9×2^x=0

7-7-9×2^x=0-7

-9×2^x=-7

9×2^x=7

9×2^x/9=7/9

2^x=7/9

[tex]log_{2} 2^x[/tex]=[tex]log_{2} 7/9[/tex]

x=[tex]log_{2} 7/9[/tex]

Answer:

Step-by-step explanation:

1. Put Words into Math.

Negative three minus one and two fifths= -3- 1 2/5

2. Solve the math problem

-3-1 2/5= -4 2/5 or   -22/5 in improper fraction

Answer: -4 2/5 or -22/5

Answer:

Step-by-step explanation:       Step 1

1 of 2

step 1.2659 ;[26 Discovery Group

October 20

Last

Trade Time

Chg

Open

52-week High

52-week Low

Sales in 100s

High

Low

​

$38.50

4:00 P.M. ET

$1.56

$37.22

$76.19

$22.78

19,700

$40.10

$36.77

​

\begin{matrix} \text{Discovery Group} & \text{}\\ \text{October 20} & \text{}\\ \text{Last} & \text{\$42.00}\\ \text{Trade Time} & \text{4:00 P.M. ET}\\ \text{Chg} & \text{\$1.50}\\ \text{Open} & \text{\$42.50}\\ \text{52-week High} & \text{\$76.19}\\ \text{52-week Low} & \text{\$22.78}\\ \text{Sales in 100s} & \text{23,600}\\ \text{High} & \text{\$42.50}\\ \text{Low} & \text{\$42.00}\\ \end{matrix}

Discovery Group

October 20

Last

Trade Time

Chg

Open

52-week High

52-week Low

Sales in 100s

High

Low

​

$42.00

4:00 P.M. ET

$1.50

$42.50

$76.19

$22.78

23,600

$42.50

$42.00

​

The correct result would be (x, y) = (5, 17); because both lines pass through this point.

Given,

In the question:

Two lines. C and D are represented by the equations.

We have :

Line C. y = x + 12

Line D. y = 3X + 2

Now, According to the question:

y = x + 12

y = 3X + 2

Substitute into one of the equations

x + 12 = 3x + 2

Solve the equation:

Combine like terms:

x - 3x = 2 - 12

-2x = -10

x = -10/-2

x = 5

Put the value of x in equation of Line C

y = x + 12

y = 5 + 12

y = 17

Hence, The correct result would be (x, y) = (5, 17); because both lines pass through this point.

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The probability that the vertical faces have the same color painted is 0.6875

There are 6 faces on a cube.

Each face of the cube will either be red or blue.

The probability that one face will have red color = probability that the face will have blue color = 1/2

It is given that the cube is placed on a horizontal surface and the 4 vertical faces have the same color.

The painting of the faces of the cube clearly follows a binomial distribution.

Therefore the probability to color the faces of a cube

= P(4 faces are red, 2 faces blue) + P(4 faces are blue, 2 faces red) + P(5 faces blue) + P(5 faces red) + P(All faces blue) + P(all faces red)

For any binomial distribution

ⁿCₓ X pˣ (1 - p)ⁿ⁻ˣ

where

n = no. of sample

x = random variable

p = probability of success

Hence we get

⁶C₄ X 0.5⁴ 0.5²   + ⁶C₄ X 0.5⁴ 0.5²   +    ⁶C₅ X 0.5⁵ 0.5    +   ⁶C₅ X 0.5⁵ 0.5

⁶C₆ X 0.5⁶    +    ⁶C₆ X 0.5⁶

= 15 X 0.015625    +    15 X 0.015625    +    6 X 0.015625    +    6 X 0.015625    +    0.015625

= 0.6875

Therefore we get the probability of having the four vertical faces of the same color to be 0.6875.

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An inequality to find the number of batches of rolls Liz can make is 13n/4 ≤ 26 and she cannot make more than 8 batches of rolls.

In order to solve this word problem, we would assign a variable to the number of batches, and then translate the word problem into an algebraic inequality as follows:

Let the variable n represent the number of batches.

Since Liz has 26 tablespoons of yeast left in the jar and each batch of biscuits takes 3 1/4 -tablespoons, we have:

3 1/4 (n) ≤ 26

13n/4 ≤ 26

Cross-multiplying, we have:

13n ≤ 26 × 4

13n ≤ 104

n ≤ 104/13

n ≤ 8.

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Complete Question:

Liz wants to make several batches of biscuits. She has 26 tablespoons of yeast left in the jar and each batch of biscuits takes 3 1/4 -tablespoons. Write and solve an inequality to find the number of batches of rolls Liz can make.

Answer:

18$

Step-by-step explanation:

this is so i can reach twenty characters.

180 students do not take lunch to school.

From the question, we have

Number of students do not take lunch to school= 200-20

=180 students

Subtraction:

Subtraction represents the operation of removing objects from a collection. The minus sign signifies subtraction −. For example, there are nine oranges arranged as a stack (as shown in the above figure), out of which four oranges are transferred to a basket, then there will be 9 – 4 oranges left in the stack, i.e. five oranges. Therefore, the difference between 9 and 4 is 5, i.e., 9 − 4 = 5. Subtraction is not only applied to natural numbers but also can be incorporated for different types of numbers.

The letter "-" stands for subtraction. Minuend, subtrahend, and difference are the three numerical components that make up the subtraction operation. A minuend is the first number in a subtraction process and is the number from which we subtract another integer in a subtraction phrase.

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1 inch is the distance between Rodrigo's house and the community center on a map with a scale of 3 inches : 9.3 miles

A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity.

Given,

The community center is 3.1 miles away from Rodrigo's house.

We need to find how far apart are Rodrigo's house and the community center on a map with a scale of 3 inches : 9.3 miles

As given, 3 inches : 9.3 miles

1 mile = 3/9.3 inches

1 mile = 0.323 inches.

So let us multiply 3.1 with 0.323

3.1×0.323

1.0013 inches

Hence 1 inch is the distance between Rodrigo's house and the community center on a map with a scale of 3 inches : 9.3 miles

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The surface area of the triangular prsim is 290.4 in² and the right option is B. 290.4 in².

Surface area is the space occupied by a two-dimensional flat surface is called the area. It is measured in square units.

To calculate the surface area of the triangular prism, we use the formula below.

Fromula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the right option is B. 290.4 in².

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Answer:

y = [tex]\frac{4}{3}[/tex] x + 4

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 3, 0) and (x₂, y₂ ) = (0, 4) ← 2 points on the line

m = [tex]\frac{4-0}{0-(-3)}[/tex] = [tex]\frac{4}{0+3}[/tex] = [tex]\frac{4}{3}[/tex]

the line crosses the y- axis at (0, 4 ) ⇒ c = 4

y = [tex]\frac{4}{3}[/tex] x + 4 ← equation of line

Answer:

Step-by-step explanation:

to find area of a rectangle we use (L)(W) so we do that here for both of these rectangles first find the area of the black top

5x(3x)

15x^2 is the area of the blacktop

The “!ield” area is next

12x(7x)

84x^2 is the area now we just subtract the two numbers by subtracting coefficients but keeping the rest the same

84x^2-15x^2

69x^2 is the area of the rectangle that is not black top

B- the foundtain we find with the area of circle formula r squared times pi

3x(3x)pi

9x^2pi

Now we just subtract this from the area of the rectangle

69x^2 -9x^2pi is the area

Hopes this helps please mark brainliest

The probability that the sample mean selling price was more than $210,000 is 0.9772.

The given values are:

The mean selling price(μ) = $215000

Standard deviation(σ) = $25000

The random sample (n) = 100

We have to find the probability that the sample mean selling price was more than $210000.

z-score with z-bar= 210000

z = (x-bar - μ) / (σ/ √n)

 = ( 210000 - 215000) / (25000/ √100)

 = -5000/ 2500

 =-2

Using z-tables, the probability is:

Probability = P[z> -2]

                  = 1 - 0.0228

                  = 0.9772

Therefore the probability is 0.9772.

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The correct option is c. that is observation is set of recorded values of variables associated with a single entity.

What is observation?

An observation is a case of the data being collected.

For example, if we were collecting data on students in the class, the observations would be each individual student in the class. It could be the student's height, weight, marks scored, etc.

A variable is an attribute or characteristic of the observation we record in our data.

Also an observation in statistics is a value of something of interest measured or counted during a study or experiment: a person’s height, a bank account value at a certain point in time, or number of animals.

Therefore from the given option c is correct.

Observation is set of recorded values of variables associated with a single entity.

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Answer:

62%

Step-by-step explanation:

1040-110-145-139=646

646/1040=62%

Yes this question can be proven by mathematical induction

What do you mean by induction in mathematics?

For each and every natural number n, a statement, theorem, or formula can be proved using the mathematical induction technique. By generalizing this into the "Principle of Mathematical Induction," which we would utilize to demonstrate any mathematical assertion.

Here, n ≥ 1

1/1.2 + 1/2.3 + 1/3.4 + .............. + 1/n(n +1)

We employ the idea of Sigma here.

S/1/r(r + 1) { r = 1 to n }

Sigma [1/(r + 1) - 1/(1/r)] { r = 1 to n }

put r = 1 \s1/1 - 1/(1 + 1) = 1 - 1/2

put r = 2 \s1/2 - 1/(2 +1) = 1/2 - 1/3

put r = 3 \s1/3 - 1/(3 +1) = 1/3 - 1/4

........................................................... put r = n 1/n - 1/(n + 1)

after adding

Sigma = [1/(r+1) - 1/(1/r)] {r = 1 to n } = 1 -1/2 + 1/2 -1/3 + 1/3 - 1/4 + ............1/n - 1/(n +1)

= 1 - 1/( n +1) = n/( n +1)

Consequently, 1/1.2 + 1/2.3 + 1/3.4 +... 1/n(n + 1) = n/(n + 1).

so it proved

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Answer: Positive

Step-by-step explanation: It would be positive because the question is asking how much money they lost. The lost a positive amount of money.

Answer:

i don't know

Step-by-step explanation:

She needs to complete 20 laps for a total distance of 0.5 kilometer.

1 kilometers = 1000 meters

0.5 kilometers = 500 meters

Length of swimming pool = 25 meters

That means, she covers 25 meters in 1 lap.

Laps to cover 500 meters = 500/25

                                            = 20

Hence, she needs to do 20 laps.

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The terms ordered from least to greatest are √6, 2.5, 8/3, and 9/5, 1.9, √5. Then the correct options are A and C.

It is the order of the numbers in which a smaller number comes first and then followed by the next number and then the last number will be the biggest one.

Let's check all the options. Then we have

a) √6, 2.5, 8/3, convert the numbers into a decimal form. Then we have

⇒ 2.449, 2.5, 2.667, order is in ascending form.

b) √8, 11/4, 2.9, convert the numbers into a decimal form. Then we have

⇒ 2.828, 2.75, 2.667, order is not in ascending form.

c) 9/5, 1.9, √5, convert the numbers into a decimal form. Then we have

⇒ 1.8, 1.9, 2.236, order is in ascending form.

d) 13/5, 2.8, √7, convert the numbers into a decimal form. Then we have

⇒ 2.6, 2.8, 2.645, order is not in ascending form.

e) 1.8, 7/4, √3, convert the numbers into a decimal form. Then we have

⇒ 1.8, 1.75, 1.732, order is not in ascending form.

The terms ordered from least to greatest are √6, 2.5, 8/3, and 9/5, 1.9, √5. Then the correct options are A and C.

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Answer:

Step-by-step explanation:

3 as the x axis and -5 for the y axis

The required key features of [tex]g(x) = x^{2}[/tex] including domain is (-∞, ∞) (i.e. all real values), range = [0,∞), x-intercept = (0,0), y-intercept = (0,0), interval of increasing = (0,∞) and interval of decreasing = (-∞, 0)

What is a quadratic function?

A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function.

The graphs of quadratic functions are frequently curved or nonlinear. A parabola, a kind of U-shaped curve, is the particular type of curve that makes up the graph of a quadratic function.

Given, [tex]g(x) = x^{2}[/tex]

The graph of the given function is given below:

From the graph,

Domain = (-∞, ∞) (i.e. all real values)

Range = [0,∞)

x-intercept = (0,0)

y-intercept = (0,0)

Interval of increasing = (0,∞)

Interval of decreasing = (-∞, 0)

Hence, these are the required key features of  [tex]g(x) = x^{2}[/tex].

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