I have no idea how to do these plz help and plz make sure it’s right because I only have 5 questions and will mark brainiest:)

(15) The value of x is -588 (option A).

(16) The value of x makes the expression equal to 0 is -2i. (option B).

The value of x is calculated by solving the equation as follows;

(15) We have the equation:

√x = 14i√3

Squaring both sides, we get:

x = (14i√3)^2

x = -588

(16) Factoring the expression, we get:

x(x⁴ + 6x² + 8)

Setting each factor equal to 0, we get:

x = 0 or x⁴ + 6x² + 8 = 0

Let's solve for the second equation:

Let y = x²

Then we have:

y² + 6y + 8 = 0

Factorizing, we get:

(y + 2)(y + 4) = 0

So y = -2 or y = -4

Since y = x², this means:

x² = -2 or x² = -4

Taking the square root of both sides, we get:

x = ±√(-2) or x = ±√(-4)

Simplifying using imaginary numbers, we get:

x = ±i√(2) or x = ±2i

Thus, for the expression √x is equivalent to 14i√3,  the value of x is -588. And for the expression x⁵ + 6x³ + 8x, x = -2i.

Learn more about expression here: https://brainly.com/question/4344214

#SPJ1

This is a question related to permutation and combination.Let's Start off by distinguishing between those terms.

Permutation is all the possible arrangements of 'things' in which order matters. That means 'olives' and ' pepperoni' is different from 'pepperoni and olives'.Combination is all the possible arrangements of 'things' in which order does not matter. That means olives and pepperoni' is the same as 'pepperoni and olives'.

There are 9 ways to placing the first piece in the program

There are 8 ways to placing the second piece 

There are 7 ways to placing third piece

There are 6 ways to placing forth

There are 5 ways to placing fifth

There are 4 ways to placing sixth

There are 3 ways to placing seventh

There are 2 ways to placing eighth

There are 1 ways to placing ninth

This give the numbers of ways to arrange as 9×8×7×6×5×4×3×2×1=362,880

To know more about permutation and combination visit here: https://brainly.com/question/4546043

#SPJ4

Answer:

GOD BLESS YOU

Step-by-step explanation:

A system of linear equations with three unknowns whose solutions are the points on the line through (1, 1, 1) and (3, 5, 0) can be found as follows:

Suppose that the line through the points (1, 1, 1) and (3, 5, 0) can be represented by the vector equation (x, y, z) = (1, 1, 1) + t(2, 4, -1), where t is a scalar parameter. Then we have x = 1 + 2t, y = 1 + 4t, z = 1 - t. This vector equation can be rewritten as a system of linear equations by equating each component of the vectors.

We have:

x = 1 + 2t, y = 1 + 4t, z = 1 - t

So, the system of linear equations with three unknowns whose solutions are the points on the line through (1, 1, 1) and (3, 5, 0) is:

x - 2t = 1, y - 4t = 1, z + t = 1.

To find a system of linear equations with three unknowns whose solutions are the points on the line through (1, 1, 1) and (3, 5, 0), we can use the parametric equation of a line in three dimensions. Suppose that the line through the points (1, 1, 1) and (3, 5, 0) can be represented by the vector equation (x, y, z) = (1, 1, 1) + t(2, 4, -1), where t is a scalar parameter.

This vector equation means that the coordinates of any point on the line can be obtained by adding a scalar multiple of the direction vector (2, 4, -1) to the point (1, 1, 1).

In other words, if we let t vary over all real numbers, we obtain all the points on the line. Then we can rewrite the vector equation as a system of linear equations by equating each component of the vectors. We have:

x = 1 + 2t,y = 1 + 4t, z = 1 - t .

This system of equations represents the line passing through (1, 1, 1) and (3, 5, 0) in three dimensions. The first equation tells us that the x-coordinate of any point on the line is 1 plus twice the t-coordinate. The second equation tells us that the y-coordinate of any point on the line is 1 plus four times the t-coordinate.

The third equation tells us that the z-coordinate of any point on the line is 1 minus the t-coordinate. Therefore, any solution of this system of equations gives us a point on the line through (1, 1, 1) and (3, 5, 0). Therefore, the system of linear equations with three unknowns whose solutions are the points on the line through (1, 1, 1) and (3, 5, 0) is:

x =1+ 2t, y - 4t = 1, z + t = 1

To know more about linear equations visit :

brainly.com/question/32634451

#SPJ11

Answer:

7x-6= 6x+12

x=18

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

so you want to input the numbers into variables so for (p+q)^2 you input p as 4 and q as 8 (4+8)^2 and then you add 4+8 which is 12. Then you have to do 12 to the power of 2 which is 12x12 and the answer to that is 144. For the bottom you input p as 4 and then for -2q you have to input the 8, -2(8) and that equals to -16 so then it's 4-16 so it equals to -12. Then you have to do -12 divided by 12 which equals to 1.

The equation y = 3/4x describes the relationship

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

The graph

The graph is a linear graph, and we have the following points on the graph

(x, y) = (0, 0) and (4, 3)

Because the line passes through the origin i.e. (0, 0), the equation that describes the relationship is then represented as

y = Y/X * x

Where

(X, Y) = (4, 3)

So, we have

y = 3/4x

Hence, the equation is y = 3/4x

Read more about linear equations at

https://brainly.com/question/4074386

#SPJ1

Answer:

2 3/4

Step-by-step explanation:

There are 16 ounces in a pound so 8 ounces is 1/2 a pound.

1 1/2 + 1/2 + 3/4

2 + 3/4

2 3/4

Answer:

a=8

b=⅛

c= 2.6

d= 0.26

that's all the answers

If the shape is made up of one half-circle attached to an equilateral triangle with side lengths 20 inches then, the perimeter of the shape is 91.4 inches.

To find the perimeter of the shape, we need to know the length of the curved boundary (the circumference of the half-circle) and the length of the straight boundary (the perimeter of the equilateral triangle).

The radius of the half-circle is half the length of the side of the equilateral triangle, which is 10 inches. Therefore, the circumference of the half-circle is:

C = πr = π(10) = 31.4 inches.

The perimeter of the equilateral triangle is 3 times the length of one side, which is 20 inches. Therefore, the perimeter of the triangle is:

P = 3s = 3(20) = 60 inches

Finally, the perimeter of the entire shape is the sum of the lengths of the curved and straight boundaries:

Perimeter = C + P = 31.4 + 60 = 91.4 inches.

To know more about equilateral triangle

brainly.com/question/3461022

#SPJ4

Complete Question

This shape is made up of one half-circle attached to a square with side lengths 11 inches. Find the perimeter of the shape.

You can use 3.14 as an approximation for π. help i don't know it.

Answer:

Step-by-step explanation:

Let number of chocolate cakes = c

Number of lemon cakes = l

Total cakes = 27

c + l = 27 ---------------(I)

Total slices = 170

7c + 6l = 170  ---------------(II)

Multiply equation (i) by (-7) and then add. So, c will be eliminated and we can find the value of  l

(I) * (-7)        -7c - 7l = -189

(II)                7c + 6l = 170     {Now add}

                         - l    = -19

l = 19

Plugin l = 19 in equation (I)

c + 19 = 27

c = 27 - 19

c = 8

Number of chocolate cakes = 8

Number of lemon cakes = 19

A) 1st one

B) 2nd one

C) and im too lazy to do c

Answer:

6 x 10^-6 is a greater value

2 x 10^-8 is the lesser value

I'm not sure about the third one

D.0.125

What is probability?

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1.

Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means.

You will understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Knowing the total number of outcomes is necessary before we can calculate the likelihood that a specific event will occur.

Step by Step Exlaination:

A spinner is divided into 8 parts.

Numbered as 9 to 16.

S={9,10,11,12,13,14,15,16}

n(S)=8.

A:probability of getting reater than 15.

A={16}

m(A)=1

p(A)=m(A)/n(S).

      = 1/8.

      =0.125

p(A)=0.125

Probability of getting greater than 15 is 0.125

Learn more about this question here:

https://brainly.com/question/2684863

#SPJ1

Part A:

The scale of the line plot should have 0 as its least data value and 4 as its greatest data value.

Part B:

There will be 11 dots above 1.

There will be 6 dots above 4.

There will be three dots above 3.

A line plot, also known as a dot plot, is a type of graph that is used to display and organize small sets of data.

It consists of a number line with dots or Xs placed above each value to represent the frequency or count of that value in the data set.

Line plots are useful for quickly visualizing the distribution of data and identifying the most common values or outliers.

They are especially helpful when the data set is small and discrete, meaning that the values are distinct and separate, rather than continuous.

Learn more line plots at: https://brainly.com/question/31410494

#SPJ1

Answer:45

Step-by-step explanation:

Jamie pay if her dog weighs 45 pounds

f(x) = 25$  , X ≤ 15

         35$ , 15 < x ≤ 40

        50$ , 50 + 1.5(x - 40)

A relation between two sets is a group of ordered pairs that each contain one item from both sets. If the ordered pair (x,y) is present in the relation and object x is a member of the first set and object y is a member of the second set, then the objects are said to be connected.

An expression, rule, or law in mathematics that specifies the relationship between an independent variable and a dependent variable (the dependent variable). In mathematics and the sciences, functions are fundamental for constructing physical relationships.

if at 25$ the dog is 15 pound or less.

25$  , X ≤ 15

if at 35$ the dog is over 15 and no more than 40 pounds.

35$ , 15 < x ≤ 40

the dog is over 40 pounds, the charge is $50 plus 1.5 times the number of pounds over 40 that the dog is.

50$ , 50 + 1.5(x - 40)

The accurate value cant be calculated.

So ,

f(x) = 25$  , X ≤ 15

         35$ , 15 < x ≤ 40

        50$ , 50 + 1.5(x - 40)

To know more about relation and function visit:

https://brainly.com/question/18533604

#SPJ4

\((3^2 \cdot 3^3)^2 \\\\= (3^{2+3})^2\\\\= (3^5)^2\\\\ =3^{5\cdot 2} \\\\=3^{10}\)

\( ( { {3}^{2} \times {3}^{3} })^{2} \)

▪▪▪▪▪▪▪▪▪▪▪▪▪

\( = ( { {3}^{2} \times {3}^{3} })^{2} \)

\( { {a}^{m} \times {a}^{n} } = {a}^{m + n} \)

\( = ({ {3}^{2 + 3} })^{2} \)

\( = ({3}^{5})^{2} \)

\( = {3}^{5 \times 2} \)

\( = {3}^{10} \)

The answer is , if X is a standard normal random variable then value the value of c is 1.96.

In order to find the value of c, we need to use the z-score formula for normal distribution, which is given as

z = (x - μ) / σ

Where,

z is the z-score

x is the raw score

μ is the meanσ is the standard deviation

To find the value of c, we need to find the z-score for P(−c < X < c) = 0.95.

For this, we can use the standard normal distribution table which gives the area to the left of the z-score.

Since the given probability is for the interval from -c to c, we need to find the area to the left of c and subtract the area to the left of -c from it.

Area to the left of c = 0.5 + 0.475

= 0.975 (using standard normal distribution table)

Area to the left of -c = 0.5 - 0.475

= 0.025 (using standard normal distribution table)

Now, we can find the z-score using the standard normal distribution table by finding the z-score for the area of 0.975 which gives a z-score of 1.96.

So, we have 1.96 = (c - 0) / 1

Where 0 is the mean of standard normal distribution and 1 is the standard deviation of standard normal distribution.

Therefore, c = 1.96. Hence, the value of c is 1.96.

To know more on standard distribution visit:

https://brainly.com/question/31379967

#SPJ11

Answer:

Option "B" is the correct answer to the following question.

Step-by-step explanation:

The horizontal asymptote y = 11.95 reflects a cost each person reaching $11.95 because as number of individuals rises.

Horizontal asymptotic y = $11.95

Cost per person approaches = $11.95 per person increase

Answer:

B) The horizontal asymptote y = 11.95 represents that the cost per person approaches $11.95 as the number of people increases.

Step-by-step explanation:

Edge 2020

Answer:

f(-2) = +2

Step-by-step explanation:

Let x = -2

So,

f(x) = 4x + 10

Substituting the value of x gives ,

f(-2) = 4 × (-2) + 10 = 10 - 8 = 2

2.1 The volume in ml of one can of cold drink is 83 ml.

2.2 The height of the cooler bag is 18 cm.

2.3 The volume in ml of the cooler bag if the breadth of the bag is 12 cm and the length 18 cm is 3,888 ml.

2.4 The circumference of the can is 18.84 cm.

In Mathematics and Geometry, the volume of a cylinder can be calculated by using this formula:

Volume of a cylinder, V = πr²h

Where:

By substituting the given side lengths into the volume of a cylinder formula, we have the following;

Volume of can = 3.14 × (6/2)² × 8.84

Volume of can = 83.27 cm³.

Note: 1 cm³ = 1 ml

Volume of can in ml = 83.27 ≈ 83 ml.

Part 2.2.

For the height of the cooler bag, we have:

Height of cooler bag = 2 × height of can

Height of cooler bag = 2 × 8.84

Height of cooler bag = 17.68 ≈ 18 cm.

Part 2.3

Volume of cooler bag = length × breadth × height

Volume of cooler bag = 18 × 12 × 18

Volume of cooler bag = 3,888 ml.

Part 2.4

The circumference of the can is given by:

Circumference of circle = 2πr

Circumference of can = 2 × 3.14 × 3

Circumference of can = 18.84 cm.

Read more on cylinder here: brainly.com/question/14060443

#SPJ1

Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

ima go with -9

Step-by-step explanation:

the reason being, if the entire blue line is f then the range is -9 as you can see that the graph hits -9 on the y axis, and y is range

The measure of the angle BCD is 60 degrees.

Ok, remember that the sum of the interior angles of a triangle is always equal to 180°.

And we can write the top angle at C as:

(5x + 10) + C = 180°

C = 180 - 5x - 10

Then the sum of the interior angles gives:

3x + 3x + (180 - 5x - 10) = 180

Now we can solve that for x to get:

6x -5x - 10 = 180 - 180

x - 10 = 0

x = 10

Then the measure of BCD is:

BCD = 5x + 10

BCD = 5*10 + 10 = 60

Learn more about triangles at:

https://brainly.com/question/2217700

#SPJ1

The Solution.

Let the price of a citron be represented with x, and the price of a fragrant wood apple be y.

So, the first sentence in the question gives the equation below:

Similarly, the second sentence in the question gives the equation below:

Solving the above pair of equations simultaneously using the Elimination Method:

We shall eliminate the term in x;

So, we shall multiply through eqn(1) by 3, we get

Similarly, we shall multiply through eqn(2) by 5, we get

Subtracting eqn(3) from eqn(4), we have

We get:

Dividing both sides by 16, we get

To find x, we shall substitute 4 for y in eqn(1):

Collecting the like terms, we get

Dividing both sides by 5, we get

Therefore, the price of a citron is 3 units, and the price of a fragrant wood apple is 4 units.

Answer:

60

Step-by-step explanation:

The graphs which show functions with direct variation include the following:

B. A coordinate plane showing Cost of Cinnamons with Quantity in ounces on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 0.3) and (5, 1.5).

C. A coordinate plane showing Breakfast Cost with Number of Meals on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 1.2) and (5, 6).

E. A coordinate plane showing Euro to U.S Dollar Conversion with Euros on the x-axis and U.S Dollars on the y-axis with a line passing through points at (1, 1.4) and (5, 7).

A graph is a type of chart that's commonly used for the graphical representation of data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.

Generally speaking, the graph of any proportional relationship (direct variation) is characterized by a straight line with the points passing through the origin (0, 0) because as the values on the x-axis decreases or increases, the values on the y-axis decreases or increases simultaneously.

In conclusion, the graphs representing direct variation are shown in the image attached below.

Read more on graphs here: brainly.com/question/4546414

#SPJ1

Complete Question:

Which graphs show functions with direct variation? Select three options.

A coordinate plane showing Parking Garage Rates with Time in hours on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 2.4) and (5, 4).

A coordinate plane showing Cost of Cinnamons with Quantity in ounces on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 0.3) and (5, 1.5).

A coordinate plane showing Breakfast Cost with Number of Meals on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 1.2) and (5, 6).

A coordinate plane showing Ferry Ride Cost with Number of Persons on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 2) and (5, 8).

E. A coordinate plane showing Euro to U.S Dollar Conversion with Euros on the x-axis and U.S Dollars on the y-axis with a line passing through points at (1, 1.4) and (5, 7).

a. Own Price Elasticity of Demand = (-30) / (0) = undefined. Since the own price elasticity of demand is undefined, we cannot determine if the demand is elastic, inelastic, or unitary elastic based on this information.

b. Cross-Price Elasticity of Demand = (12/7) / 0 = undefined. Since the cross-price elasticity of demand is undefined, we cannot determine if goods X and Y are substitutes or complements based on this information.

c. Income Elasticity of Demand = (-2860.71) / (0) = undefined. Since the income elasticity of demand is undefined, we cannot determine if good X is a normal or inferior good based on this information.

d. We cannot calculate the own advertising elasticity of demand with the provided data.

a. To determine the own price elasticity of demand, we need to use the formula:

Own Price Elasticity of Demand = (% Change in Quantity Demanded) / (% Change in Price)

Given the demand equation OX​d​ = 7−15PX​+2Py​+0.5M+A, we can calculate the derivative of demand with respect to price:

d(OX​d​) / d(PX​) = -15

Now, let's plug in the values:

% Change in Quantity Demanded = (d(OX​d​) / d(PX​)) * (PX​ / OX​d​) = (-15) * (15 / 7) = -30

% Change in Price = (ΔPX​ / PX​) = (15 - 15) / 15 = 0

b. To determine the cross-price elasticity of demand between goods X and Y, we use the formula:

Cross-Price Elasticity of Demand = (% Change in Quantity Demanded of Good X) / (% Change in Price of Good Y)

Using the same demand equation, we calculate the derivative of demand with respect to the price of good Y:

d(OX​d​) / d(Py​) = 2

Now, let's plug in the values:

% Change in Quantity Demanded of Good X = (d(OX​d​) / d(Py​)) * (Py​ / OX​d​) = (2) * (6 / 7) = 12/7

% Change in Price of Good Y = (ΔPy​ / Py​) = (6 - 6) / 6 = 0

c. To determine the income elasticity of demand, we use the formula:

Income Elasticity of Demand = (% Change in Quantity Demanded) / (% Change in Income)

Using the same demand equation, we calculate the derivative of demand with respect to income:

d(OX​d​) / d(M) = 0.5

Now, let's plug in the values:

% Change in Quantity Demanded = (d(OX​d​) / d(M)) * (M / OX​d​) = (0.5) * (-40000 / 7) = -2860.71

% Change in Income = (ΔM / M) = (-40000 - (-40000)) / (-40000) = 0

d. The own advertising elasticity of demand measures the responsiveness of quantity demanded to changes in advertising expenditure. Unfortunately, the given demand equation does not provide any information about advertising expenditure or its impact on quantity demanded.

For more such questions on Elasticity of Demand

https://brainly.com/question/14274996

#SPJ8

Answer:

Step-by-step explanation:

where is the question 1

+this sentence :" is -20 degrees bcz it's colder than -10 degrees "is a 2answer sentence

hope this helps

The curve is y = In(sec(x)) and we have to find its length. We are given the range as 0 ≤ x ≤ π/4. So, the formula for the length of the curve is given as:

To solve for the length of the curve of y = In(sec(x)), we use the formula,

`L = ∫[a,b] √[1+(f′(x))^2] dx`.Where, `a = 0` and `b = π/4`. And `f′(x)` is the derivative of `In(sec(x))`.

We know that:`f′(x) = d/dx[In(sec(x))]`

Using the formula of logarithm differentiation, we can write the above equation as:

`f′(x) = d/dx[In(1/cos(x))]`

So,`f′(x) = -d/dx[In(cos(x))]`

Therefore,`f′(x) = -sin(x)/cos(x)`

Substituting the values, we get:

`L = ∫[a,b] √[1+(f′(x))^2] dx`

`L = ∫[0,π/4] √[1+(-sin(x)/cos(x))^2] dx`

`L = ∫[0,π/4] √[(cos^2(x)+sin^2(x))/(cos^2(x))] dx`

`L = ∫[0,π/4] sec(x) dx`

Now, `L = ln(sec(x) + tan(x)) + C` where `C` is a constant.

We calculate the constant by substituting the values of `a = 0` and `b = π/4`:

`L = ln(sec(π/4) + tan(π/4)) - ln(sec(0) + tan(0))`

`L = ln(√2 + 1) - ln(1 + 0)`

`L = ln(√2 + 1)`

Thus, the exact length of the curve is `ln(√2 + 1)` units.

Thus, the exact length of the curve of y = In(sec(x)), 0≤x≤π/4 is `ln(√2 + 1)` units.

To know more about derivative visit:

brainly.com/question/25324584

#SPJ11

Answer:

QT = 18

Step-by-step explanation:

The percentage of those who were married were also obese is: 34.7% (147/424; Option B)

Now,

The percentage of number of married participants who were obese is calculated by: dividing the former (147) by the total number of married participants(424)

=> Percentage of married participants who were obese = 147/424.

Hence, The percentage of those who were married were also obese is: 34.7% (147/424; Option B)

To learn more about percentages, refer to the link: https://brainly.com/question/24304697

#SPJ4

(COMPLETE QUESTION:

A 2009 study analyzed data from the National Longitudinal Study of Adolescent Health. Participants were followed into adulthood. Each study participant was categorized as to whether they were obese (BMI >30) or not and whether they were dating, cohabiting, or married. The table below summarizes the results.

Dating Cohabiting Married Total

Obese 81 103 147 331

Not Obese 359 326 277 962

Total 440 429 424 1293

What percentage of those who were married were obese? (Round your answer to 1 decimal place.)

A. 32.8% (424/1293)

B. 34.7% (147/424)

C. 25.6% (331/1293)

D. 44.4% (147/331))