What is the standard form of (5+i)(6-5i)/2i(-3+7i)

Answer:

B. $5.99

Step-by-step explanation:

Let's start by finding the total cost of the sodas. We know that there were 5 sodas and each cost $0.75, so the total cost of the sodas is:

5 * $0.75 = $3.75

Next, we need to subtract the cost of the sodas from the total cost before tax to find the cost of the pizzas:

$33.70 - $3.75 = $29.95

Finally, we can divide the cost of the pizzas by the number of pizzas to find the cost of each pizza:

$29.95 ÷ 5 = $5.99

Therefore, the cost of each pizza pie was $5.99. Answer choice B is correct.

Answer:

Below

Step-by-step explanation:

Pythagoean theorem for right triangles:

hypotenuse ^2 = leg1^2 + leg2^2

        x^2           = 10 ^2  + 7^2

         x^2 = 149

         x = sqrt 149     which is simplest radical form ( 149 is a prime number)

Answer:

CD =3m

Step-by-step explanation:

AB=BD

BC=2CD --> CD=1/3 BD

--> AD= 6CD

The final value of the investment is $689.10. Fill the table accordingly.

Compound interest is the interest on a loan or deposit calculated based on both the initial principal and the accumulated interest from previous periods.

First year

Interest earned = 9/100 * $580 = $52.20

Second year

Balance + Interest = $580 + $52.20

Total balance = $632.20   (Note: Total balance = Balance + Interest )

Interest earned = 9/100 *  $632.20 = $56.90

Third year

Balance + Interest = $632.20 + $56.90

Total balance = $689.10

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Answer:

Step-by-step explanation:

Probability is the possibility for an event to occur or not to occur.

The formula for a combination is:

n choose r = n! / (r! x (n-r)!)

Given

n=14

r= 11 to 13

Hence, we shall add up the cases for 11 through 13.

nCr

14C11 + 14C12 + 14C13

14!/11!(14-11)! + 14!/12(14-12)! + 14!/13(14-13)!

= 14!/11!•3! + 14!/12!•2! + 14!/13!•1!

= 14*13*12*11!/11!•(3*2*1) + 14*13*12!/12!•(2*1) + 14*13!/13!•(1*1)

= 2184/6+182/2+14/1

= 364+91+14

= 469 ways

Step-by-step explanation:

469 ways are the ways to I think so if the answer is correct plz make ma the brainliest

Answer: D

Step-by-step explanation:

Hope it helps

Answer:

this answer wont help but please give it 5 stars. Brainly keeps bombarding me with ads. please help sos  

Step-by-step explanation:

The tourist's investment function can be expressed as follows:

f(x) = 720 + 35x

According the question,

The tourist's investment function can be expressed as follows:

f(x) = 720 + 35x

Where x represents the quantity of additional tours that the tourist wants to add to their travel package.

The function f(x) represents the total cost of the travel package plus the additional cost of the extra tours.

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Answer:

No, the total is 43.5 which is below 50.

Step-by-step explanation:

English: 25% × 48 = 12

Mathematics: 50% × 35 = 17.5

Typing: 5% × 80 = 4

Accounting 20% × 50 = 10

12 + 17.5 + 4 + 10 = 43.5

Total: 43.5

Passing: 50

Answer: No. The total is too low.

Answer:

4.46% probability that the pressure will exceed this value.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Gaussian distribution with a mean value of 69 psi and a standard deviation of 10 psi.

Gaussian distribution = normal.

This means that \(\mu = 69, \sigma = 10\)

If it is important that the pressure stays below 86 psi, what is the probability (in percent) that the pressure will exceed this value?

As a proportion, this probability is 1 subtracted by the pvalue of Z when X = 86. So

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{86 - 69}{10}\)

\(Z = 1.7\)

\(Z = 1.7\) has a pvalue of 0.9554

1 - 0.9554 = 0.0446

0.0446*100 = 4.46%

4.46% probability that the pressure will exceed this value.

The x-intercepts are (4,0)(5,0) of the following graph.

In the context of a graph, an x-intercept is a point where a curve or line crosses the x-axis. It is the point at which the value of y is zero. In other words, the x-intercept is the value of x when the function or equation crosses the x-axis.

To find the x-intercepts of a function, you can set y equal to zero and solve for x. The resulting values of x will be the x-intercepts.

In the context of a graph, a y-intercept is a point where a curve or line crosses the y-axis. It is the point at which the value of x is zero. In other words, the y-intercept is the value of y when the function or equation crosses the y-axis.

To find the y-intercept of a function, you can set x equal to zero and solve for y. The resulting value of y will be the y-intercept.

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Answer: -2

Step-by-step explanation:

Answer:

6-4c

Step-by-step explanation:

2(3-2c)

2×3+2×-2c

6+2×-2c

6-4c

Answer:

-6

Step-by-step explanation:

Answer:

Answer 1.

Step-by-step explanation:

The complete question is:

The line whose equation is 3x - 5y = 4 is dilated by a scale factor of 3 centered at the origin. Which statement is correct?

1. The image of the line has the same slope as the pre-image but a different y-intercept.

2. The image of the line has the same y-intercept as the pre-image but a different slope.

3. The image of the line has the same slope and the same y-intercept as the pre-image.

4. The image of the line has a different slope and a different y-intercept from the pre-image.

Recall that a dilation by a scale factor r centered at the origin takes a point (x,y) and maps it to the point (r*x,r*y).

Consider also a line of equation \(ax+by=c\). From this equation, the slope of the line is given by the number \(\frac{-a}{b}\) and the y-intercept is given by \(\frac{c}{b}\).

Consider the given equation 3x-5y =4. If we replace (x,y) with (3x,3y), we get

\(3(3x)-5(3y) = 4 = 3 (3x-5y) = 4 \)

which is equivalent to

\( 3x-5y = \frac{4}{3}\)

Note that comparing the equations 3x-5y=4 and \(3x-5y=\frac{4}{3}\) the values of a and b are equal but the value of c is different. This means that they have the same slope but a different y-intercept.

The measure of angle ADC in the geometric system is equal to 55°.

In this question we find a geometric system formed by a quadrilateral and an angle vertical to a vertex of the quadrilateral. Angle CDE is supplementary to angles EDF and ADC. Two angles are supplementary whose sum of measures equals 180°. Therefore:

m ∠ CDE + m ∠ EDF = 180°

(2 · x + 1) + (x - 7) = 180°

3 · x - 6 = 180°

3 · x = 186°

x = 62

m ∠ CDE = 2 · x + 1

m ∠ CDE = 2 · 62 + 1

m ∠ CDE = 125°

m ∠ ADC = 180° - 125°

m ∠ ADC = 55°

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The sum f(x) + g(x) is (x³ + 16x² + 6x - 99) / (x²-9)(x² + 3x) and the type of discontinuity for f(x) at x = ±3 is a removable discontinuity, and for g(x) at x = 0, it is an infinite discontinuity or vertical asymptote.

To find f(x) + g(x), we need to add the two functions together:

f(x) + g(x) = (x+2)/(x²-9) + 11/(x²+3x)

To add these fractions, we need a common denominator.

The common denominator in this case is (x² - 9)(x² + 3x), which is the product of the denominators.

Rewriting the fractions with the common denominator, we have:

f(x) + g(x) = [(x+2)(x² + 3x)]/[(x²-9)(x² + 3x)] + [11(x²-9)]/[(x²-9)(x² + 3x)]

Combining the fractions, we have:

f(x) + g(x) = [(x+2)(x² + 3x) + 11(x²-9)]/[(x²-9)(x² + 3x)]

Simplifying the numerator:

[(x+2)(x² + 3x) + 11(x²-9)] = (x³ + 5x² + 6x + 11x² - 99)

= (x³ + 16x² + 6x - 99)

Therefore, the sum f(x) + g(x) is (x³ + 16x² + 6x - 99) / (x²-9)(x² + 3x).

The excluded values for the function f(x) are x = ±3, and for the function g(x), the excluded value is x = 0.

The type of discontinuity for f(x) at x = ±3 is a removable discontinuity, and for g(x) at x = 0, it is an infinite discontinuity or vertical asymptote.

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To find the number going to and from West is 165,000.

The number of bus passes from Southern services is 29,000.

East------------------- 80,000

North------------------- 124,000

South------------------- 61,000

West-------------------- 165,000

Total--------------------------- 430,000

To find the number going to and from West:

80,000 + 124,000 + 61,000 + x = 430,000

265,000 + x = 430,000

x = 430,000 - 265,000

x= 165,000.

Northern services-------------------- 43,000

Western services-------------------- 51,000

Eastern services---------------------- 35, 000

Southern services---------------------- 29,000

Total----------------------------------------------158,000

Let x be the unknown variable,

43,000 + 51,000 + 35,000 + x = 158,000

129,000 + x = 158,000

x= 158,000 - 129, 000

x= 29,0000

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Step-by-step explanation:

The way you can think about volume is that we have some cross sectional area times the height of the solid.

27.

The volume of a square based pyramid is

\(v = {s}^{2} ( \frac{h}{3} )\)

where h is the height of the pyramid

s is the side length of the square base.

S=7

h=12

\(v = {7}^{2} ( \frac{12}{3} ) = 49 \times 4 = 196\)

28. The volume of a rectangular prism

\(v = l \times w \times h\)

where l is length

w is width

h is height

\(v = 11 \times 11 \times 8 = 968\)

29.

Use the same formula in 27

\(v = 100(3) = 300\)

30.

Volume of a Cylinder is

\(v = \pi {r}^{2} h\)

where r is the radius of the circle

where h is the height

r is half of the diameter

The diameter is 22, thus the radius is 11.

\(v = {11}^{2} (8)(\pi)\)

\(v = 968\pi\)

pi is approximately 3.14

\(v = 3041.06\)

31. Volume of A Sphere

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

The radius is half of diamter, thus r=7

\( \frac{4}{3} \pi( {7}^{3} ) = 1436.76\)

The formula for y in terms of x and c is given as follows:

\(y = \frac{c^5}{\sqrt{x}}\)

A proportional relationship is a type of relationship between two quantities in which they maintain a constant ratio to each other. This means that if one quantity is multiplied by a certain factor, the other quantity will also be multiplied by the same factor.

The equation that defines the proportional relationship is given as follows:

y = kx.

In which k is the constant of proportionality, representing the increase in the output variable y when the constant variable x is increased by one.

An inverse proportional relationship is modeled as follows:

y = k/x.

In this problem, we have that y is inverse proportional to the square root of x, hence the equation is given as follows:

\(y = \frac{k}{\sqrt{x}}\)

When x = c², y = c^4, hence the constant k is obtained as follows:

\(c^4 = \frac{k}{\sqrt{c^2}}\)

k/c = c^4

k = c^5.

Hence the equation is:

\(y = \frac{c^5}{\sqrt{x}}\)

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The value of the function f(x) = 3x^2 - 2x + 1 at x = -1, will be 6

In mathematics, an expression is a phrase that has at least two numbers or variables and at least one arithmetic operation. Addition, subtraction, multiplication, or division are all examples of math operations. An expression's structure is as follows: (Number/variable, Math Operator, Number/variable) is an expression.

Algebraic expressions are expressions that are made up of variables and constants. Any value can be assigned to a variable. The value of an expression changes depending on the values assigned to the variables it includes. There are an unlimited number of points on a number line.

To evaluate the function f(x) = 3x^2 - 2x + 1 at x = -1,

we simply substitute -1 for x in the expression:

f(-1) = 3(-1)^2 - 2(-1) + 1

= 3(1) + 2 + 1

= 6

Therefore, f(-1) = 6.

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Answer:

its a

Step-by-step explanation:becayse i said so

Therefore , the solution of the given problem of angles comes out to be  the three propositions  m∠3 + m∠4 + m∠5 = 180°, m∠5 + m∠6 = 180°, and m∠2 + m∠3 = m∠6.

The point of intersection of the paths joining a skew ends yields the skew's greatest and smallest walls. A crossroads may be where two paths converge. Angle is another outcome of two things interacting. They approach dihedral shapes more than anything. A two-dimensional curve can be created by arranging two line beams in various configurations between their endpoints.

Here,

Regarding the illustrated diagram, the appropriate statements are:

=> m∠3 + m∠4 + m∠5 = 180°

This is accurate since every triangle's internal angles add up to 180°.

=>  m∠5 + m∠6 = 180°

This is true because a triangle's internal angle and outside angle are always equal to 180 degrees.

=>  m∠2 + m∠3 = m∠6

This is accurate because, based on the information provided,

the exterior angle at angle 2 (m2) of the triangle is equal to the corresponding interior angle at angle 6 (m6) of the triangle.

Therefore, the three propositions  m∠3 + m∠4 + m∠5 = 180°, m∠5 + m∠6 = 180°, and m∠2 + m∠3 = m∠6. are always true in relation to the given figure.

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The amount in the account at the end of 1 year is $5400.

The amount in the account at the end of 2 year is $5832.

What do you mean by interest rate?

The real yearly cost of funds over the course of a loan is the annual rate that is charged for borrowing (or made by investing), expressed as a single percentage number.

According to data in the given question,

We have:

Deandre places $5000 in an account that pays 8% interest compounded each year.

And no withdrawals are made from the account.

Now, we need to determine the amount of 8% interest on the $5000,

\(=\frac{5000}{100}*8\\ =400\)

Then, the amount in the account at the end of 1 year =$5000+$400

=$5400.

Now, we need to determine the amount of 8% interest on the $5400,

\(=\frac{5400}{100}*8\\ =432\)

So, the amount in the account at the end of 2 year =$5400+$432

=$5832.

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Answer:

x=6.93

Step-by-step explanation:

use the Pythagorean theorem

8^2=(0.5 x 8)^2+x^2

64=16+x^2

x^2=48

x=6.93

Answer:x= Square root 48

Step-by-step explanation:

Answer:

C=pg OR C/p=g OR C/g=p

Answer:

24 \(m^{3}\)

Step-by-step explanation:

Volume=l*b*h

as tank is half full so height of water will be 4m

and Voulme will be,

V=3*2*4=24 \(m^{3}\)

while capacity of tank is,

V=3*2*8=48  \(m^{3}\)

The volume of water in the tank, when it is half full, is 24 cubic meters.

Volume in mathematics and physics refers to how much three-dimensional space is occupied by a substance or an object. It is a measurement of the overall volume of space contained inside a three-dimensional object's limits.

The volume of the rectangular tank is given by the formula:

V = l x b x h

where l is the length, b is the breadth, and h is the height of the tank.

Substituting the given values, we get:

V = 3m x 2m x 8m = 48 cubic meters

If the tank is half full, then the volume of water in the tank is:

Vw = (1/2) * V = (1/2) x 48 = 24 cubic meters

Therefore, the volume of water in the tank when it is half full is 24 cubic meters.

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Answer:

x = 4

Step-by-step explanation:

Knowledge Needed

If you add, subtract, multiply, or divide the same number/variable on both sides of the equation, the end result will be the same.

To solve for a variable, we must first isolate it, meaning it is on its own side of the equation separate from integers and other constants.

The Question

8x + 4 = 27 + 6x - 15

Subtract 4 on both sides.

8x + 4 - 4 = 27 + 6x - 15 - 4

Combine like terms.

8x = 8 + 6x

Subtract 6x on both sides.

8x - 6x = 8 + 6x - 6x

Combine like terms.

2x = 8

Divide 2 on both sides.

\(\frac{2x}{2} = \frac{8}{2}\)

Simplify.

x = 4

Answer:

To vote you need to be a US citizen and be at least 18 years old by election day

Answer:

18 years old to vote

Step-by-step explanation:

You must be 18 years old to vote and you have to be a citizen. Also to vote, you have to be a resident of Florida. So therefore, yes you have to be 18 years old to vote.

Hope this Helps!