PLEASE SOLVE STEP BY STEP
Solve bx − 4=5 for x. Assume that b≠0.

Multiple choice question.
A)
x=1b
B)
x=9b
C)
x=9 – b
D)
x=1 – b

Answer:

Step-by-step explanation:

Baby otter is 9/10 kg less than the average.

The true statements about the polynomial function graphed are:

Its leading coefficient is positive.

It has an odd degree.

None of the zeroes have even multiplicity.

From the given options, the true statements about the polynomial function graphed are:

Its leading coefficient is positive.

It has an odd degree.

None of the zeroes have even multiplicity.

Let's analyze each statement:

Its leading coefficient is positive:

The leading coefficient of a polynomial is the coefficient of the term with the highest degree.

From the graph, if the polynomial is going upwards on the right side, it indicates that the leading coefficient is positive.

It has an odd degree: The degree of a polynomial is the highest power of the variable in the polynomial expression.

If the graph has an odd number of "turns" or "bumps," it indicates that the polynomial has an odd degree.

None of the zeroes have even multiplicity:

The multiplicity of a zero refers to the number of times it appears as a factor in the polynomial.

In the given graph, if there are no repeated x-intercepts or no points where the graph touches and stays on the x-axis, it implies that none of the zeroes have even multiplicity.

The other statements (its leading coefficient is negative, it has an even degree, it has exactly two real zeroes, it has exactly three real zeroes, and none of the zeroes have odd multiplicity) cannot be determined based solely on the information given.

Therefore, the true statements about the polynomial function graphed are:

Its leading coefficient is positive.

It has an odd degree.

None of the zeroes have even multiplicity.

For similar question on polynomial function.  

https://brainly.com/question/31528136

#SPJ8

Answer:

Step-by-step explanation:

The high and low points are

The difference in elevation is:

Step-by-step explanation:

Answer:

32229 feet

Step-by-step explanation:

The high and low points are

31098 feet - 1131 feet

The difference in elevation is:

31098 - (-1131) = 32229 feet

Hope it will help you in your need

Using statistics we know that the mean value is 5.6 years, and the standard error is 0.4478.

The gathering, characterization, analysis, and drawing of inferences from quantitative data are all tasks that fall under the purview of statistics, a subfield of applied mathematics.

Probability theory, linear algebra, and differential and integral calculus play major roles in the mathematical theories underlying statistics.

So, we have:

μ = 5.6

σ = 1.9

n =  18

Figuring out each sample's mean:

Therefore, the population means itself serves as the best estimator of the sample mean.

μₓ = μ = 5.6

The sample mean is 5.6 years as a result.

Estimating the standard deviation:

By using the formula:

Standard error = σ/√n

Given that the samples are of size n = 18 and the standard deviation is = 1.9:

Standard error = 1.9/√18 = 0.4478

Therefore, using statistics we know that the mean value is 5.6 years, and the standard error is 0.4478.

Know more about statistics here:

https://brainly.com/question/15525560

#SPJ4

Complete question:
The amount of time employees of a telecommunications company have worked for the company is normally distributed with a mean of 5.6 years and a standard deviation of 1.9 years. Random samples of size 18 are drawn from the population and the mean of each sample is determined. Find the mean and the standard error.

Answer:

  z = √35

Step-by-step explanation:

In this geometry, all of the right triangles are similar, so corresponding sides are proportional.

  long side / hypotenuse = 5/z = z/(2+5)

  z² = 5(7) = 35

  z = √35

Answer:

6610

Step-by-step explanation:

We have tan(X) = opposite/ adjacent

tan(QBP) = PQ/BQ

tan(35) = PQ/BQ    ---eq(1)

tan(QAP) = PQ/AQ

tan(20) = \(\frac{PQ}{AB +BQ}\)

\(=\frac{1}{\frac{AB+BQ}{PQ} } \\\\=\frac{1}{\frac{AB}{PQ} +\frac{BQ}{PQ} } \\\\= \frac{1}{\frac{230}{PQ} + tan(35)} \;\;\;(from\;eq(1))\\\\= \frac{1}{\frac{230 + PQ tan(35)}{PQ} } \\\\= \frac{PQ}{230+PQ tan(35)}\)

230*tan(20) + PQ*tan(20)*tan(35) = PQ

⇒ 230 tan(20) = PQ - PQ*tan(20)*tan(35)

⇒ 230 tan(20) = PQ[1 - tan(20)*tan(35)]

\(PQ = \frac{230 tan(20)}{1 - tan(20)tan(35)}\)

\(= \frac{230*0.36}{1 - 0.36*0.7}\\\\= \frac{82.8}{1-0.25} \\\\=\frac{82.8}{0.75} \\\\= 110.4\)

PQ = 110.4

≈110

Height above sea level = 6500 + PQ

6500 + 110

= 6610

I think the answer is 54.

The Area of Square is 81 cm².

let the side of the square which is length for both rectangles be a.

let the width of rectangle be x and y.

So, x+ y= a

sum of perimeters= 54

2 (a +x ) + 2 (a+ y) = 54

2a+ 2x + 2a+ 2y = 54

2a + 2a + 2(x+ y) = 54

4a + 2 (a) = 54

4a + 2a = 54

6a = 54

a= 54/6

a= 9

So, area of square

= 9 x 9

= 81 cm²

Learn more about Area here:

https://brainly.com/question/1631786

#SPJ1

The equation for the relationship between the number of bracelets made and the number of beads is y = 21x.

First, the rate of change

= (483 - 210) / (23 - 10)

= 273 / 13

= 21

So, the equation for the relationship between the number of bracelets made and the number of beads used.

(y - 210) = 21 (x-  10)

y - 210 = 21x - 210

y = 21x

Learn more about Slope here:

https://brainly.com/question/3605446

#SPJ1

Answer: 24 days

Step-by-step explanation:

The number of days from now when the chess club will be in the gym:

6, 12, 18, 24, 30, 36, ...

The number of days from now when the robotics team will be there:

8, 16, 24, 32, 40, 48, ...

The lowest number they have in common is 24 days.

A more algebraic way to look at this (which is what your instructor probably wants) is to find the smallest whole number that is divisible by 6 and also divisible by 8.

The prime factorization of 6 is 2*3

The prime factorization of 8 is 2*2*2

The smallest whole number divisible by 6 and by 8 must have all the prime factors but no more than that.

For the factor of 2, the number 6 has one of them and 8 has three of them , so we need the highest number of factors for just one of the numbers --> 3 factors of 2 (We don't add the 3 factors from 8 and the one factor from 6 to get 4 factors. That would be incorrect.)

For the factor of 3, it only appears as a factor of 6 and it only appears once --> one factor of 3.

So, we need 2 * 2 * 2 * 3 = 24

I hope this helps.

Answer:

\(\frac{(x-7)^2}{8^2} + \frac{(y-2)^2}{17^2} = 1\)

Step-by-step explanation:

Major axis length 2a

⇒ 2a = 34

⇒ a = 34/2

⇒ a = 17

General eq of ellipse:

\(\frac{(x-h)^2}{b^2} + \frac{(y-k)^2}{a^2} = 1\)

centre : (h,k)

foci: (h, k+c) and (h,k-c)

Gn. foci : (7, 17) and (7, -13)

Comparing the above 2 lines,

h = 7,

k + c = 17   -eq(1)

k - c = -13   -eq(2)

eq(1) + eq(2):

(k + c) + (k - c) = 17 + (-13)

2k = 4

k = 2

sun k = 2 in eq(1):

2 + c = 17

c = 15

Also, c² = a² - b²

b² = a² - c²

= 17² - 15²

= 64

b² = 8²

b = 8

substituting in ellipse eq,

\(\frac{(x-7)^2}{8^2} + \frac{(y-2)^2}{17^2} = 1\)

Answer:

\(\dfrac{(x-7)^2}{64}+\dfrac{(y-2)^2}{289}=1\)

Step-by-step explanation:

As the foci of the ellipse have the same x-value, the ellipse is vertical.

The formula for a vertical ellipse is:

\(\boxed{\dfrac{(x-h)^2}{a^2}+\dfrac{(y-k)^2}{b^2}=1}\)

where:

Given the major axis is 34:

The center of an ellipse is located at the midpoint between its two foci.

Given the foci are (7, 17) and (7, -13), the center of the ellipse is:

\((h, k) = (7, 2)\)

As the formula for the foci is (h, k±c), then (k, h±c) = (7, 2±c). Therefore:

\(\begin{aligned}2\pm c &= 17, -13\\\pm c &= 15, -15\\c &= 15\end{aligned}\)

The vertices are:

\(\begin{aligned}(h, k\pm b) &= (7, 2 \pm 17)\\& = (7, 19) \; \textsf{and}\; (7, -15)\end{aligned}\)

To find the value of a, substitute the values of b and c into c² = b² - a²:

\(\begin{aligned}c^2&=b^2-a^2\\15^2&=17^2-a^2\\a^2&=\sqrt{17^2-15^2}\\a^2&=64\\a&=8\end{aligned}\)

The co-vertices are:

\(\begin{aligned}(h \pm a, k) &= (7 \pm 8, 2)\\& = (-1,2) \; \textsf{and}\; (15,2)\end{aligned}\)

Therefore:

To find the equation of the ellipse, substitute these values into the formula:

\(\boxed{\dfrac{(x-7)^2}{64}+\dfrac{(y-2)^2}{289}=1}\)

Trigonometric Formula's:

\(\boxed{\sf \ \sf \sin^2 \theta + \cos^2 \theta = 1}\)

\(\boxed{ \sf tan\theta = \frac{sin\theta}{cos\theta} }\)

Given to verify the following:

\(\bf (cos^2a) (2 + tan^2 a) = 2 - sin^2 a\)

\(\texttt{\underline{rewrite the equation}:}\)

\(\rightarrow \sf (cos^2a) (2 + \dfrac{sin^2 a}{cos^2 a} )\)

\(\texttt{\underline{apply distributive method}:}\)

\(\rightarrow \sf 2 (cos^2a) + (\dfrac{sin^2 a}{cos^2 a} ) (cos^2a)\)

\(\texttt{\underline{simplify the following}:}\)

\(\rightarrow \sf 2cos^2 a + sin^2 a\)

\(\texttt{\underline{rewrite the equation}:}\)

\(\rightarrow \sf 2(1 - sin^2a ) + sin^2 a\)

\(\texttt{\underline{distribute inside the parenthesis}:}\)

\(\rightarrow \sf 2 - 2sin^2a + sin^2 a\)

\(\texttt{\underline{simplify the following}} :\)

\(\rightarrow \sf 2 - sin^2a\)

Hence, verified the trigonometric identity.

Answer:

See below ~

Step-by-step explanation:

Identities used :

⇒ cos²a = 1 - sin²a

⇒ tan²a = sin²a / cos²a

============================================================

Solving :

⇒ (cos²a) (2 + tan² a)

⇒ 2cos²a + (cos²a)(tan²a)

⇒ 2(1 - sin²a) + sin²a

⇒ 2 - 2sin²a + sin²a

⇒ 2 - sin²a [∴ Proved √]

The slope-intercept form is given by:

Therefore, to find this form, we need to solve for y the given equation:

Subtract both sides 6x:

Now, divide both sides by 4:

Simplify the expression:

We can rewrite the equation as:

Where -3/2 represents the slope and 1 represents the y-intercept.

Answer:

99.166666666666666666666; 595/6; 99 1/6; 99

Step-by-step explanation:

THE FORMULA IS (x)/(170)=(35)/(60)

solve for x

copy the formula in bold and paste it to math w]y:

(x)/(170)=(35)/(60)

choose the option to solve for x and 99.666666666666∞ is the answer.

The equation in vertex for the parabola for y in terms of x is y = -0.009(x - 75)² + 55

From the question, we have the following parameters that can be used in our computation:

Vertex = (75, 55)

Point = (100, 49.375)

The equation in vertex form for a parabola is represented as

y = a(x - h)² + k

Where

Vertex (h, k) = (75, 55)

Point (x, y) = (100, 49.375)

So, we have

y = a(x - 75)² + 55

Substitute (x, y) = (100, 49.375) in y = a(x - 75)² + 55

49.375 = a(100 - 75)² + 55

So, we have

625a = -5.625

Divide by 625

a = -0.009

Substitute a = -0.009 in y = a(x - 75)² + 55

y = -0.009(x - 75)² + 55

Hence, the equation is y = -0.009(x - 75)² + 55

Read more about parabola at

https://brainly.com/question/1480401

#SPJ1

The approximate height of the pole in centimeters is 17,500 centimeters.

We have,

Let's start by calculating the total length of the pole, which is buried plus the part that protrudes from the ground.

We know that the part that protrudes is 25 meters and that it represents one-seventh of the total length.

25 = L/7

where L is the total length of the pole.

We can solve for L by multiplying both sides of the equation by 7:

L = 7 x 25

  = 175 meters

Now we need to convert this length to centimeters.

Since 1 meter is equal to 100 centimeters,

175 meters x 100

= 17,500 centimeters

Therefore,

The approximate height of the pole in centimeters is 17,500 centimeters.

Learn more about unit conversion here:

https://brainly.com/question/13899873

#SPJ1

The complete question.

The Clarisse company, dedicated to the telephone business, is expanding its coverage, due to this, it is placing poles, where the seventh part of a pole is buried, and protrudes 25 meters from the ground. Calculate the approximate height of the pole in centimeters.

Answer:

S₁₆ = 344

Step-by-step explanation:

the sum to n terms of an arithmetic sequence is

\(S_{n}\) = \(\frac{n}{2}\) [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

here a₁ = - 1 and d = a₂ - a₁ = 2 - (- 1) = 2 + 1 = 3 , then

S₁₆ = \(\frac{16}{2}\) [ (2 × - 1) + (15 × 3) ]

     = 8 (- 2 + 45)

     = 8 × 43

     = 344

Answer:

48.43552415324934

Step-by-step explanation:

61.73²-38.27² = 2346

\(\sqrt{2346}\) = 48.43552415324934

Correction in point 1: Purchases of supplies for cash during December were $3,300. Supplies on hand at the end of December equal $2,800.

What is Journal Entry?

The act of recording any economic transactions is called a journal entry. An accounting journal lists transactions and displays a company's debit and credit balances. Each recording in the journal entry can be either a debit or a credit, and it can be made up of multiple recordings. The way an accounting transaction is entered into a company's accounting records is through an accounting journal entry.

This question is related to the account and finance subject.

To know more about journal entry, visit:

https://brainly.com/question/28390337

#SPJ1

the median is the middle number in a sorted, ascending or descending, list of numbers, i like to think of it as "middle"

Answer:

Step-by-step explanation:

|x+a|=b

x+a=±b

x=a±b

x=a+b

and x=a-b

Answer:

16000

Step-by-step explanation:

y = ½x +3

Step-by-step explanation:

Slope = m = ½

y-intercept = 3

Substitute values into Slope intercept form :

\(y = mx + b\)

Where m = slope

b = y intercept

\(y = \frac{1}{2} x + 3\)

3a. An equation in slope-point for this line is y + 2 = 1/2(x - 0).

3b. The equation in slope-intercept form is y = 1/2(x) - 2.

4a. An equation in slope-point form to represent this function is y - 3875 = -1/695(x - 19375).

4b. The cost of operating a car that has been driven 31250 km is $3892.086.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

Part 3.

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (0 + 2)/(4 - 0)

Slope (m) = 1/2

At data point (0, -2) and a slope of 1/2, a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y + 2 = 1/2(x - 0)

y = 1/2(x) - 2

Part 4a.

Based on the information provided about Jay's business, we would determine the slope of the line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (3900 - 3875)/(2000 - 19375)

Slope (m) = 25/-17375

Slope (m) = -1/695

At data point (19375, 3875) and a slope of -1/695, a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 3875 = -1/695(x - 19375)

Part 4b.

For the cost when x = 31250 km, we have:

y - 3875 = -1/695(31250 - 19375)

y = 17.086 + 3875

y = $3892.086.

Read more on point-slope here: brainly.com/question/24907633

#SPJ1

a) The probability that exactly one of them will be a girl = 0.3407

b) The probability that at least one of them will like the football = 0.7672

a) If we select three students then the probability that exactly one of them will be a girl

From the attached two way table we can observe that the total number of girls = 22

the total number of boys = 18

and the total number of students = 40

The possible outcomes for selecting 3 students from 40 would be,

⁴⁰C₃

Using combination formula,

⁴⁰C₃ = 40! / (3! × (40 - 3)!)

      = 9880

If there is exactly one girl then other two must be boys in the set of 3 selected students.

So, the required probability would be,

P = (²²C₁ × ¹⁸C₂) / ⁴⁰C₃

P = (22 × 153)/9880

P = 0.3407

b) The number of students like the football = 15

and the number of students who don't like the football are 40 - 15 = 25

The probability that at least one of them will like the football would be,

P = (¹⁵C₃ × ²⁵C₀ + ¹⁵C₂ × ²⁵C₁ + ¹⁵C₁ × ²⁵C₂) / ⁴⁰C₃

P = ((455 × 1) + (105 × 25) + (15 × 300)) / 9880

P = 0.7672

Learn more about the probability here:

https://brainly.com/question/15124899

#SPJ1

Answer:

A

Step-by-step explanation:

i think so..sorry if im wrong

Answer:

it issssss sass ccccccccccccccccccc

Answer:

- \(\sqrt{2}\)

Step-by-step explanation:

cos90° - 2sin45° + 2tan180°

= 0 - ( 2 × \(\frac{\sqrt{2} }{2}\) ) + 2(0)

= 0 - \(\sqrt{2}\) + 0

= - \(\sqrt{2}\)