What are the values of x and y for this equation?
(x+yi)+(8-5i)=4+3i

The volume of the square pyramid is the one-third of the square prism with same height and base area. Then the volume of the pyramid will be 120 cubic cm.

Suppose the base of the pyramid has length = L units, width = W units, slant height = K units, and the height of the pyramid is of H units.

Then the volume of the pyramid will be

V = (L × B × H) / 3

The volume of the square prism will be

V = (L × B × H)

Then the volume of the square pyramid is the one-third of the square prism with same height and base area.

[tex]\rm V_{pyramid} = \dfrac{V_{prism} }{3}[/tex]

A rectangular prism has a square base with a width of 6 and a volume of 360 cm³.

If a square pyramid has a base with the same width and height.

Then the volume of the pyramid will be

V = 360 / 3

V = 120 cubic cm

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It is clear that T lies on the perpendicular bisector of NP. See the explanation below.

Given that M (X,Y) is the midpoint of NP

X thus = (5+1)/2

= 3

Y = (7+1)/2

= 4

Hence, we have M (3,4)

Consequent on the above:

Slope TM (m') = (4-2) / (3-6) = - 2/3

Slope of NP (m) =  (7-1) / (5-1) = 6/4 = 3/2
M' = -1/m

Hence

TM ⊥ NP; and NP ⊥ TM

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Answer:

100% probability or 1/1

Step-by-step explanation:

This is because since the basketball NEVER misses, there is no chance the the ball will not go inside the basket, leaving room for only the ball to GO inside the basket. Hope this helps!! :D

Subtraction is a mathematical operation that reflects the removal of things from a collection. The ribbon that Millie already had is 7.1 feet.

Subtraction is a mathematical operation that reflects the removal of things from a collection. The negative symbol represents subtraction.

Given Millie needs a total of 7.8 feet of ribbon for a school project. Also, She needs 0.7 more feet of ribbon. Therefore, the ribbon that Millie needs is,

Ribbon Millie had = Total Ribbon - ribbon that is needed

                              = 7.8 feet - 0.7feet

                              = 7.1 feet

Hence, the ribbon that Millie already had is 7.1 feet.

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Answer:

400

Step-by-step explanation:

4/5×500

=400 6s would be riled

Answer:

$17,506.73

Step-by-step explanation:

Continuous Compounding Formula

[tex]\large \text{$ \sf A=Pe^{rt} $}[/tex]

where:

Given:

Substitute the given values into the formula and solve for A:

[tex]\sf \implies A=10000e^{(0.07 \times 8)}[/tex]

[tex]\sf \implies A=10000e^{0.56}[/tex]

[tex]\implies \sf A=17506.725...[/tex]

Therefore, the value of the account after 8 years is $17,506.73 to the nearest cent.

The pair of limits that would verify the existence of a vertical asymptote at x = –1 is:

[tex]\lim_{x \rightarrow -1^-} = \infty, \lim_{x \rightarrow -1^+} = \infty[/tex]

The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.

For a vertical asymptote at x = -1, the denominator is zero at -1, hence both lateral limits at x = -1 go to infinity, that is:

[tex]\lim_{x \rightarrow -1^-} = \infty, \lim_{x \rightarrow -1^+} = \infty[/tex]

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Answer:

60 minutes

Step-by-step explanation:

we can see that the number of minutes increases by 8 each day

(12 + 8 = 20, 20 + 8 = 28, 28 + 8 = 36...)

So, because we have the value for the previous day (day 6) we know that we can simply add 8

52 + 8 = 60

So, the predicted number of minutes for day 7 is 60

hope this helps!!

Answer:

36 TSHIRTS is the number for minimum profit

Step-by-step explanation:

Y = Y

180 + 5X = 10X

180 = 10X - 5X

180 = 5X

X = 180/5

X = 36

The total cost of the dinner is $176.20.

The total cost of the dinner is the sum of the bill for the dinner, the tax and the tip.

Total cost = tip + bill of the dinner + tip

Tax = 0.08 x 140 = $11.20

Total cost = $140 + $25 + $11.20 = $176.20

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Answer:

C is the answers for the question

Step-by-step explanation:

please mark me as brainlest

Answer:

People surveyed: 79

a) p(s) = 46/79

b) p(snv) = 13/79

c) p(suv) = 96/79

hope this helps, and tell me if you get it right! It's prob wrong though, im bad at venn diagrams (×_×)⌒☆

Answer:

5 dollars :)

Step-by-step explanation:

ig

The statement that is true about this function is C. As x approaches positive infinity, h(t) approaches positive infinity

Given that we have:

Therefore, when x approaches to negative infinity,

[tex]\lim_{x \to \infty} h(x)[/tex]

= 2^(-∞-5)

= 2^(-∞)

= 1/2^∞

=0

Also, as x approaches negative infinity, function h(x) approaches 0.

Then when x approaches to positive infinity,

[tex]\lim_{x \to \infty} h(x)[/tex]

2^(∞-5)

= 2^(∞)

= ∞

Therefore, As x approaches positive Infinity, h(x) approaches positive infinity.

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Answer:

Option B and D

Step-by-step explanation:

Subtract 9 from both sides :

4x² + 4x - 8 = 0

Divide both sides by 4 :

x² + x - 2 = 0

Factorise using factorisation method :

x² - x + 2x -2 = 0

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

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

Solve for x

x +2 = 0   OR     x - 1 = 0        

x = -2       OR     x = 1

Answer will be Option B and D

Hope this helped and have a good day

Answer:

option b. –2 and d. 1 are correct.

*For detailed explanation refer to the attachment

The correlation coefficient of the data given in the table, using a calculator, is of 0.35

To find the coefficient, we need to insert the points (x,y) in the calculator.

In this problem, we have that:

Using a calculator, the coefficient is of 0.35.

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the transformations used are:

We start with the function:

[tex]f(x) = 2^x[/tex]

And we have the transformed function:

[tex]g(x) = 5*2^{x-2} + 3[/tex]

Bow, let's start with the original function f(x). If first we apply a vertical dilation of scale factor 5, then we have:

g(x) = 5*f(x).

Then we apply a shift of 2 units to the right, so we have:

g(x) = 5*f(x - 2)

Then we apply a shift of 3 units up, so we have:

g(x) = 5*f(x - 2) + 3

Replacing f(x) by the actual function:

[tex]g(x) = 5*2^{x-2} + 3[/tex]

Then the transformations used are:

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[tex]\textsf {Finding y :}[/tex]

[tex]\implies \mathsf {1^{2} + y^{2} = 3^{2}}[/tex]

[tex]\implies \mathsf {y^{2} = 8}[/tex]

[tex]\implies \mathsf {y = 2\sqrt{2}}[/tex]

[tex]\textsf {Finding z :}[/tex]

[tex]\implies \mathsf {(2\sqrt{2})^{2}+8^{2}=z^{2}}[/tex]

[tex]\implies \mathsf {z^{2} = 72}[/tex]

[tex]\implies \mathsf {z = 6\sqrt{2}}[/tex]

Answer:

z =8.49 or 6[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Do the Pythagorean theorem = [tex]a^{2} +b^{2} =c^{2}[/tex]

Length of hypotenuse = 8+1=9

length of one side = 3

so, a²+3²=9²

     a²+3²=9²

     a²=81-9

     a²=72

     a=√72=8.49 or 6[tex]\sqrt{2}[/tex]

Answer:

20

Step-by-step explanation:

-10 + 20 = +10

Answer:

[tex]\fbox {20}[/tex]

Step-by-step explanation:

Let the required term be x

Then :

Answer:

They are being multiplied by 2 each time.

Step-by-step explanation:

The X values are going up by 1 and every time X goes up by 1, Y doubles. So (1,2) goes to (2,4) and then (3,8) etc.

Answer:

(5,18)  & (-5 , 38)

Step-by-step explanation:

  A linear equation represented by a line in a graph intersect the quadratic equation represented by a parabola zero, one or two times.

f(x) = x² - 2x + 3   -------------------(I)  

f(x) = -2x + 28   ---------------------(II)

x² - 2x + 3 = -2x + 28

x² - 2x + 2x + 3 - 28 = 0

x² - 25 = 0

x²         = 25

         x = √25 = √5*5

        x = ± 5

Plugin x = 5 in equation (II),

                    f(5) = -2*5 + 28

                          = -10 + 28

                          = 18

(5 , 18)

Plugin x = -5 in equation (II),

 f(-5) = -2*(-5) + 28

         = 10 + 28

         = 38

(-5, 38)

Answer:

(5, 18) and (-5, 38)

Step-by-step explanation:

Given system of equations:

1) f(x) = x² - 2x + 3 ⇒ y = x² - 2x + 3

2) f(x) = -2x + 28 ⇒ y = -2x + 28

Solve using the Substitution Method:

Step 1: Substitute the the first equation into the second equation.

⇒ x² - 2x + 3 = -2x + 28

Step 2: Solve for x.

x² - 2x + 3 = -2x + 28 [ Add 2x to both sides. ]

x² - 2x + 2x + 3 = -2x + 2x + 28

⇒ x² + 3 = 28 [ Subtract 28 from both sides. ]

x² + 3 - 28 = 28 - 28

⇒ x² - 25 = 0 [ Factor using the following rule: a² - b² = (a - b)(a + b). ]  

(x - 5)(x + 5) = 0

⇒ x - 5 = 0, x + 5 = 0 [ Solve for the values of x. ]

x - 5 + 5 = 0 + 5, x + 5 - 5 = 0 - 5

⇒ x = 5, x = -5

Step 3: Solve for y.

Substitute the found x-values into one of the given equations.

y = x² - 2x + 3 ⇒ y = (5)² - 2(5) + 3 ⇒ y = 25 - 10 + 3 ⇒ y = 18

y = x² - 2x + 3 ⇒ y = (-5)² - 2(-5) + 3 ⇒ y = 25 + 10 + 3 ⇒ y = 38

The solutions to the system of equations are:

⟹ x₁ = 5, y₁ = 18 ⇒ (5, 18)

⟹ x₂ = -5, y₂ = 38 ⇒ (-5, 38)

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Step-by-step explanation:

Ultimately we know:

Men = * 5

Women = * 2

Children =

We can already make the estimation that the amount of children will be below 50. So by trial and error you will get to your answer by substituting with 41.

Children - 41

Women - 41 x 2 = 82

Men - 41 x 5 = 205

205 + 41 + 82 = 328

So your answer is 41

Answer:

The probability that a student earns a grade of A is 1/7.

Let E be an event and S be the sample space. The probability of E, denoted by P(E) could be computed as:

P(E) = n(E) / n(S)

As the total number of students = n(S) = 35

Students getting the grade A = n(E) = 5

So, the probability that a student earns a grade of A:

                     P(E) = n(E) / n(S)

                             = 5/35

                             = 1/7

Hence, the probability that a student earns a grade of A is 1/7.

Keywords: probability, sample space, event

Answer:

1/2

Step-by-step explanation:

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

m=(3-1)/(4-0)

m=2/4

m=1/2

The slope of the given points (0,1) and (4,3) will be ( 1 / 2 ).

The increase divided by the run, or the ratio of the rise to the run is known as the line's slope. In the coordinate plane, it describes how steep a line is.

The slope of the line is calculated by the formula given below:-

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\dfrac{3-1}{4-0}=\dfrac{2}{4}=\dfrac{1}{2}[/tex]

Therefore the slope of the given points (0,1) and (4,3) will be ( 1 / 2 ).

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The option third "P(Male or Type B) < P(Male | Type B)" is correct because 0.575 < 0.76

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

P(Male or Type B) = (number of male + number of type B - number that are both)/total population

[tex]\rm = \dfrac{103 + 50- 38}{200 }[/tex]

= 0.575

P(Male | Type B) = (number of male people inside the type B)/(number of Type B people)

= 38/(38 + 12)

= 0.76

0.575 < 0.76

P(Male or Type B) < P(Male | Type B)

Thus, the option third "P(Male or Type B) < P(Male | Type B)" is correct because 0.575 < 0.76

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Answer:

D

Step-by-step explanation:

the zero is the value of x where the line crosses the x- axis, that is

zero is x = - 2

Solution: X=6

Detailed explanation:

In this problem we're asked to find "x" or the unknown.

The first step is to subtract 11x from both sides.

[tex]---\mapsto\boldsymbol{-11x+79=13}[/tex]

Next, subtract 79 from both sides.

[tex]---\mapsto\boldsymbol{-11x=-66}[/tex]

To finish this off, divide both sides by -11.

[tex]---\mapsto\boldsymbol{x=6}[/tex]

Voila! There's our answer!

___________________

Hope I helped.  Best wishes.

Reach far. Aim high. Dream big.

___________________

[tex]\large\green\longrightarrow \tt \large \:79 \: = \: 11x \: + \: 13[/tex]

[tex]\large\green\longrightarrow \tt \large \:79 \: - \: 13 \: = \: 11x[/tex]

[tex]\large\green\longrightarrow \tt \large \:66 \: = \: 11x[/tex]

[tex]\large\green\longrightarrow \tt \large \: \frac{ \cancel{66} \: \: ^{ \pink6} }{ \cancel{11}} \: = \: x \\ [/tex]

[tex]\large\green\longrightarrow \tt \large \:6 \: = \: x[/tex]

Hence , the value of x is 6

The graph second represents the line that is perpendicular to the line y = 4x - 2 option  (B) is correct.

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

The question is incomplete:

The complete question is:

Consider the equation y = 4x - 2 Which graph shows a line that is perpendicular to the line defined by the given equation?

Please refer to the attached picture.

The given line:

y = 4x - 2

The slope of the line m = 4

The slope of the line which is perpendicular to the above line:

M = -1/4 = -0.25

The graph second has a slope of -0.25

[tex]\rm y\ -2\ =\ \dfrac{\left(2-0.5\right)}{-4-2}\left(x+4\right)[/tex]

y - 2 = -0.25x - 1

y = -0.25x + 1

Thus, the graph second represents the line that is perpendicular to the line y = 4x - 2 option  (B) is correct.

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The function over the interval is an increasing exponential function.

A quadratic function is" a polynomial function with one or more variables in which highest exponent of variable is 2".

The complete question is

An investment group compares returns on an account

against the function represented in the table, where x is the

time in years and f(x) is the total return on investment.

Which describes the function over the interval given in the

table?

х

a decreasing quadratic function

an increasing quadratic function

a decreasing exponential function

an increasing exponential function

0

5

f(x)

10,000

12,201.90

14,888.64

22,167.15

10

20

A decreasing quadratic function is the vertex of the parabola lies on the axis parabola. So, time in years change does not give maximum total return on investment.

For increasing quadratic equation, the graph increasing at one side of the axis and decreases at other side.

For, Exponential function          

When the exponential function then it shows total return on investment is not maximum.

When the exponential function is increasing it shows time goes, total return on investment is maximum.

Hence, the exponential function is increasing.

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