Satellites KA-12 and SAL-11 have spotted a UFO. Scientists want to determine its distance from KA-12 so they can later determine its size. The distance between these satellites is 900 km. From KA-12's perspective, the angle between the UFO and SAL-11 is 60∘. From SAL-11's perspective, the angle between the UFO and KA-12 is 75∘. How far is the UFO from KA-12?

The equation that can be used to find the amount of bill payments Mike makes, from the $201.58 and the balance in the account of -$57.18, after making the payments is specified in option B.

B.) 201.58 - x = -57.18

An equation in mathematics is a mathematical statement that joins two expressions, with an 'equals to' mathematics symbol.

The initial amount in Mike's account = $201.58

The money in Mike's account after paying his bills = -$57.18

The amount of Mike's bill payment = x

Therefore;

The initial amount of money in Mike's account less the amount Mike paid as bills = The amount Mike has remaining in his account (his account balance)

Plugging in the values of the variables, we get;

The initial amount = 201.58

The amount of bill payments Mike makes = x

The balance in the account = -57.18

The equation, by plugging in the values becomes:

The correct option is therefore, option B

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The equation  201.58 - x = -57.18 with option B is the best equation Mike  can used to find the amount of bill payments from his bank account of  $201.58 and that of -$57.18, after making the payments is specified in

An equation is a mathematical model stating the equality of two sides.

The given parameters are

The initial balance = $201.58

Balance after paying bills = -$57.18

Mikes payment = x

The equation, by plugging in the values becomes:

201.58 - x = -57.18

The correct option is therefore, option B

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Answer:

y = [tex]x^2+2x+12[/tex] (x and y intercepts under "Step-by-step explanation" section)

Step-by-step explanation:

We can start by finding the vertex form and then expand it to the standard form.

The vertex form of the quadratic equation is

[tex]y=a(x-h)^2+k[/tex], where a is a constant and (h, k) is the vertex.

By plugging in 1 for a, -1 for h, and 11 for k, we have:

[tex]y=1(x-(-1))^2+11\\y=(x+1)^2+11[/tex]

Now we simply expand this vertex form to get the standard form:

[tex]y = (x+1)^2+11\\y=(x+1)(x+1)+11\\y=x^2+x+x+1+11\\y=x^2+2x+12[/tex]

We can find the x and y-intercepts using the vertex form.

To find the x-intercept, we plug in 0 for y:

[tex]0=(x+1)^2+11\\-11=(x+1)^2\\\sqrt{-11}=x+1;-\sqrt{11}=x+1\\ x_{intercepts}:(-1+\sqrt{-11}, 0); (-1-\sqrt{-11})[/tex]

The x-intercepts are non-real answers, so the quadratic equation never intersects the x-axis.

To find the y-intercept, we plug in 0 for x:

[tex]y=(0+1)^2+11\\y=1^2+11\\y_{intercept} =(0,12)[/tex]

Answer: The answer is a meter or nothing, It depends on the answer you want

Step-by-step explanation:

If he has a rope that is a meter long, but then he takes that meter, he still has a meter, but if you plan on throwing that meter away, then you would have nothing

a) The number of ways that she can arrange the 9 paintings is; 362880 ways

b)  If she only wants to display 5 of the paintings, the number of ways can she choose the paintings she wishes to display is; 126

c) The number of ways can she arrange 5 out of 9 paintings is; 120

a) If we take 9 paintings to be hung in 9 spaces arranged side by side, then it means that the first space can have any one of the 9 paintings, the second space can have any one of the remaining 8 paintings (as 1 is already hung), the third space can have any one of the remaining 7 paintings (as 2 already hung) e.t.c

Thus;

Number of ways to arrange all the paintings from left to right = 9! = 362880

b) We are now told that she only wants to display 5 of the paintings. Thus;

Number of ways she can choose the paintings she wishes to display is done by the combination formula;

nCr = n!/(r!(n - r)!)

9C5 = 9!/(5!(9 - 5)!)

= 126 ways

c) Any 5 of the 9 paintings can be arranged in;

5! = 120 ways

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Answer:

Step-by-step explanation:

You want to know the nature of the sequences ...

To determine if a sequence is linear, you look at the differences between terms. If they are all the same, then the sequence is linear.

Here, the differences are ...

Neither sequence is linear

A sequence that is exponential will have adjacent terms with the same ratio.

Here, the ratios are ...

The first sequence is not exponential. The second sequence is.

The sequences can be characterized as ...

__

Additional comment

You may have noticed that the differences of the first sequence have a common difference of 2. This constant 2nd difference means the sequence can be described by a 2nd-degree (quadratic) polynomial. In fact, each term is the square of its term number.

Answer:

Step-by-step explanation:

First of all we do conversion.
We have 7.5hg which equals to 0.075kg or 75grams.
Then we use direct proportion where if one value increases so does the other which in this case is the weight of the item is directly proportional to the price of it. Therefor we get this.

Weight                     Money
75(grams)                35(Swedish Krona)|
1000(grams)            x

We cross mutiply.
35,000 divided by 75
so x = 466.67 Swdish Krona
(I Think)

Answer:3

Step-by-step explanation:

The value of the angle x will be equal to 36°.

A circle's arc is defined as a portion or segment of its circumference. A chord of a circle is a straight line that can be created by connecting the two ends of an arc. A semicircular arc is one whose length is exactly half that of a circle.

Given that the minor arc is 144. The value of angle x will be calculated by the ratio of the difference between the major arc and the minor arc to the 2.

The angle x will be calculated as,

x = ( Major arc - Minor arc) / 2

x = ( 360-144-144) / 2

x = 72 / 2

x = 36

Therefore, the value of the angle x will be equal to 36°.

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Explanation:

Angle R = angle A = 41 since both angles involve a single arc marking.

Angle S = angle B = 74, both involve a double arc

For any triangle, the inside angles always add to 180 degrees.

R+S+T = 180

41+74+T = 180

115+T = 180

T = 180-115

T = 65

By solving equations, we know that the number of apples and mangoes purchased is 8 and 2, respectively.

In a mathematical equation, the equals sign is used to express that two expressions are equal.

Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions.

For instance, the expressions 3x + 5 and 14 make up the equation 3x + 5 = 14, with the word "equal" separating them.

So, we know that:

Apple and mango are worth $13.50.

Each mango costs $0.75, but each apple costs $1.50.

Let the number of apples be x and the number of mangoes be y, so that:

1.50x + 0.75y = 13.50

Fewer apples than mangoes by six That is to say,

x = y + 6

x - y = 6

The two resulting equations are:

1.50x + 0.75y = 13.50

x - y = 6

The simultaneous equation's solution provides

x = 8

y = 2

Therefore, by solving equations, we know that the number of apples and mangoes purchased is 8 and 2, respectively.

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Correct this group constitutes a sample of all students in the class.

What are some instances of intuitive reasoning?

As an illustration, when we enter a coffee shop, we immediately recognize a cup as one that we have seen many times before.

                           We also immediately recognize that it will probably be hot and spill quickly over an uneven surface.

What is the intuitional method?

Intuition is the earliest means of knowing. When we use our intuition, we are putting our trust in our feelings, emotions, and/or instincts to lead the way.

                          When using intuition, one believes what seems true rather than looking at the facts or using reason.

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The age of Mark, Taylor, & Brian's ages will be Whole numbers 36,37, and 38 respectively.

What exactly is a whole number?

Whole numbers are a collection of positive integers and zero that do not contain any fractions.

                       It is denoted by the letter "W," and its corresponding set of numbers are "0," "1, 2, 3,,","5,,"6,,"7,","8,"..."

It is given that Mark, Taylor, & Brian's ages are consecutive whole numbers, Mark is the youngest, and Brian is the oldest and the sum of their ages is 111.

Suppose the age of mark is x as a result the age of Taylor and brian will be x + 1 and x + 2 respectively.

From the given condition the sum of their ages is 111,

⇒x + x + 1 + x + 2 = 111

⇒3x + 3 = 111

⇒3x = 111 - 3

⇒3x = 108

⇒x = 108/3

⇒x = 36

The age of Mark, x =36

Age of Taylor, x+1 = 36+1 =37

Age of Brian, x+2 =36+2=38

Thus, if their age is in consecutive whole numbers. The age of Mark, Taylor, & Brian's ages will be  36,37, and 38 respectively.

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B) X union Y complement

How should a set notation function be written?

The set of all functions f: X Y is denoted by the following notation: The set of all functions f: X Y is labeled Y X for any sets X and Y. Another helpful example of standard notation is as follows: Notation: The term |X|, or occasionally #X, is used to represent the number of elements in finite sets X.

In the above diagram we can see that the shaded region occupy the x and X ∩ Y so the correct option is B

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When we reject the null hypothesis and the null hypothesis is true, we have made a Type I error.

In statistical hypothesis testing, the null hypothesis is a statement that represents the anticipated or "normal" outcome of a specific experiment. Unless there is evidence to the contrary, the null hypothesis, which is generally represented by the symbol "H0," is taken to be true.

A Type I mistake, sometimes known as a "false positive," arises when the null hypothesis is correct but is rejected based on the evidence. Applying a statistical test with a strong significance level increases the likelihood of rejecting the null hypothesis even when it is correct, which frequently leads to this mistake.

Making a Type I error can have major repercussions since it can result in judgments being formed based on flawed information and wrong inferences being drawn.

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The correlation of the data set is positive

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

Line of fit for a data set: -3x+4y=-5

Write out the equation of the line

So, we have

-3x + 4y = -5

Make y the subject of the equation

So, we have the following representation

y = 3/4x - 5/4

A linear equation is represented as

y = mx + c

Where

slope = m

This means that the slope of the equation is

m = 3/4

The above number is a positive number

Hence. the correlation is positive

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The original price would typically be less expensive than the current price, though it is possible for the two to be equal in specific circumstances. The original price of the pants is $ 19

A store has 20% off sale on pants. With this discount, the price of one pair of pants before tax is $15.20.

n  is the total price, 0.2n is the discount:  n - 0.2n

n - 0.2n = 15.20

Step 2:  Combine like terms

n - 0.2n = 15.20

0.8n = 15.20

Step 3:  Divide both sides by 0.8

0.8n / 0.8 = 15.20 / 0.8

n = 19

$19 is the original price

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Answer: He used 5 3/4 kg in all. There was 9 1/4 kg left.

Step-by-step explanation:

Add 3 1/2 and 2 1/4 to find how much he used. The common denominator is 4 so convert 3 1/2 to 3 2/4. Then add. The answer will be 5 3/4.

Subtract 5 3/4 from 15 to get how much is left. The answer will be 9 1/4.

The perimeter of the figure is 4d+6c - 6

The distance around the outside of a 2D shape is known as its perimeter. Add together the lengths of all the sides to determine the perimeter.

We have been given a figure. We are asked to write an expression for the perimeter of our given figure.

We know that perimeter of a solid is sum of all of its side.

We can see that opposite side of our given figure are equal and our given figure is a rectangle.

We know that perimeter of rectangle is two times the length and width of rectangle, so the perimeter of our given figure would be:

2×(2d- 3+3c)

Use distributive property:

2 × 2d - 2 × 3 + 2 × 3 c

4d -6+6c

4d+6c-6

Therefore, the perimeter of our given figure is 4d+6c - 6

The complete question is : Write and simplify an expression for the perimeter of each figure

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Answer:x=-7

Step-by-step explanation:

The arcs with the same radius from each endpoint, C. make the intersection of the arcs equidistant from the endpoints

A line segment that bisects another line segment at a 90° angle is known as a perpendicular bisector. Another line segment is split into two equal portions by a perpendicular bisector, which intersects it at a 90-degree angle.

The arcs with the same radius from each endpoint make the intersection of the arcs equidistant from the endpoints and we obtain a line segment that is perpendicular to the line segment from we take the measurement of arcs.

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Answer:

intercepting lines

Point E is closer to point A.

"I have added screenshot of the complete question as well as the

diagram"

What is line segment ?

A line segment in geometry is a section of a straight line that is enclosed by two clearly defined end points and contains all of the points on the line that lie within those endpoints. The Euclidean distance between two endpoints of a line segment determines its length.

- In this diagram, line segment CD is the  perpendicular bisector of line

segment  AB

∴ AB ⊥ CD

∵ CD intersect AB at M

∴ M is the mid-point of AB

∴ The length of  AM = the length of MB

- Assume the conjecture that the set of  points equidistant from A

and B is the  perpendicular bisector of AB is true

∴ Any point lies on the line CD equidistant from A and B

- If point E lies on the line CD

∵ CD is the perpendicular bisector of AB

∵ E lies on CD

∴ The length of EA = The length of EB

- From the figure point E is on the left side of the line CD

∵ Point A is on the left side of the line CD

∵ Point B is on the right side of the line CD

∵ Point E is on the left side of the line CD

∴ The length of AE < The length of BE

∴ Point E is closer to point A

Complete question: In this diagram, line segment CD is the

perpendicular bisector of line segment

AB. Assume the conjecture that the set of

points equidistant from A and B is the

perpendicular bisector of AB is true. Is

point E closer to point A, closer to point B,

or the same distance between the points?

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Answer:

15

Step-by-step explanation:

180 / 4 = 45

180 / 3 = 60

Answer: 15

Step-by-step explanation:

Answer:

X = 90°

Step-by-step explanation:

The figures cross sections form 4 90° angles.

Answer: x=5

Step-by-step explanation:

x=5 possibly i put diff numbers

The value of x for the given Right angled triangle is x= 8√3. So, option c is correct.

90 degrees or a straight angle is always one angle. The hypotenuse is the side that has an angle of 90° on it. Always, the hypotenuse is the longest side. The remaining two inner angles add up to a total of 90°. The bases and perpendiculars are the other two sides that are close to the right angle.

A right triangle is a triangle with one of the internal angles at 90 degrees. The hypotenuse, the side of the right triangle that is opposite the right angle and is also its longest side, and the height and base are the two arms of the right angle.

Given,

BD=28 and BC=12

CD=BD-BC

=28-12

=16

AB²=BC+AC²

AB²=(12)²+x²

x²=AB²-144 -----(1)

From ΔACD

AD²=AC²+CD²

AD²=x²+16²

x²=AD²-256 -----(2)

From ΔABD

BD²=AB²+AD²

784=AB²+AD²

2x²=AB²+AD²-144-256

2x²=784-144-256

2x²=384

x²=192

x=√192

x=√64×3

x=8√3

Therefore, The value of x for the given Right angled triangle is x= 8√3.

Hence, option c is correct.

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The practical domain of the function :

All integers from 1 to 8 and the set of f(r) is

f(r) = {76, 126, 176, 226, 276, 326, 376, 426}

What are domain and range of a function ?

The range of values that we are permitted to enter into our function is known as the domain of a function. In a function like f, this set represents the x values (x). The collection of values that a function can take on is known as its range. The values that the function outputs when we enter an x value are in this set.

Since Rachel has 26 dimes at the start, this would translate as the y-intercept. Or the value of y when x is zero. In this case, when she has no rolls of dimes., she would still have 26. Since each roll has 50 dimes. each, the function that models the number of dimes. Rachel will have is

f(r) = 50r + 26

If she can only afford 8 rolls, then the maximum number of dimes Rachel will have is:

f(8) = 50(8) + 26 = 426 dimes

The practical domain of the function :

all integers from 1 to 8

Substitute r=1 to 8 into the equation and find f(r).

{76, 126, 176, 226, 276, 326, 376, 426}

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Answer:

g = 48

Step-by-step explanation:

60/3 = g-8/2

20 = g-8/2

40 = g-8

g = 48

Answer:

g = 28

Step-by-step explanation:

60 ÷ 3 = g - 8 , that is

20 = g - 8 ( add 8 to both sides )

28 = g

The volume of a sphere is V = 4/3 x pi x r^3 .

Area is the total amount of space that an object's shape or a flat (2-D) surface occupy.

Create a square on paper by using a pencil. Tw dimensions make it up. A shape's area on paper is the space it takes up.

Imagine that your square is made up of smaller unit squares.

The area of a figure is equal to the number of unit squares required to completely cover the surface area of a particular 2-D shape. Square cms, square feet, square inches, square meters, etc. are a few common units for measuring area.

To get the area of the square figures presented below, draw unit squares with 1-centimeter sides. Therefore, the shape will be measured.

According to our question-

V' equals (4 pi x r' x r'2) (4 pi x (.9 3) x r2 x r')

This equation expresses how quickly the rind volume changes over time.

As stated in the issue, r' = 2.

Additionally, the radius will be r = 2 * 5 = 10 after 5 weeks.

V' equals (4 pi x 102 x 2) (Pi x (.93) x 10 x 2) = -

V' is equal to (800 pi) - (800 pi x (.729)).

V' = (800 x pi) (1 - .729) (1 - .729)

V' = (800 x pi)(.271) (.271)

681.09 cubic centimeters make up V'.

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The product of the expression [3 + 1/10] (-6 x 7 / 12) is -10 + (17 / 20) = negative 10 and 17 over 20.

Multiplication is mathematical arithmetic operation. It is also a process of adding same types of expression to some number of times.

Example - 2 × 3 means 2 is added three times or 3 is added 2 times.

Given that the expression { 3 + (1/10) } {-6 x (7 / 12) }

Simplifying the expression using PEMDAS,

{ 3 + (1/10) } {-6 x (7 / 12) }

= ( 31 / 10 ) × ( -7 / 2 )

= - 217 / 20

= -10 + (17 / 20)

= negative 10 and 17 over 20

Therefore, the value of the expression [3 + 1/10] (-6 x 7 / 12) is -10 + (17 / 20) = negative 10 and 17 over 20

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