what is the fraction of 0.3

Answer: x+y=7, x+3=y

Step-by-step explanation:

Answer:

t = I/(Pr)

Step-by-step explanation:

We divide P*r on both sides to isolate t and we get t=I/(P*r)

The angles which measure 20 degrees are∠1 ,∠5 ,∠7 ,∠9 ,∠11 ,∠14 ,∠16. The solution has been obtained using the properties of parallel lines.

Parallel lines are any two or more lines that lie in the same plane, are equally spaced apart, and never cross one another.

We are given t || x and k || w and m∠3 = 20°

Using the properties of parallel lines, we get -

∠3 = ∠1            (As these are vertically opposite angles)

∠3 = ∠5           (As these are alternate interior angles)                

∠3 = ∠7             (As these are corresponding angles )

Now,

∠4 = 180 - ∠3                     (As they form a linear pair)

∠10 = 180 - ∠9                    (As they form a linear pair)

Also,

∠10 = ∠4                            (Parallelogram's opposite angles are same)

So,

180 - ∠9 = 180 - ∠3

∠3 = ∠9                                                       .... [ii]

∠9 = ∠11               (As these are vertically opposite angles)

∠3 = ∠11               ( from [ii] )                                           .... [iii]

∠11 = ∠14               (As these are alternate interior angles)

∠3 = ∠14               ( from [iii] )                                               .... [iv]

∠14 = ∠16               (As these are vertically opposite angles)

∠3 = ∠16               ( from [iv] )    

Hence, the angles which measure 20 degrees are

∠1 ,∠5 ,∠7 ,∠9 ,∠11 ,∠14 ,∠16.

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Answer:

any number added to 0 is equal to itself.

Step-by-step explanation:

Answer:

... 2?

Step-by-step explanation:

1+1+0 = 2

Answer:

Step-by-step explanation:

?

|z|^2 = |z|*|z| = (|z|)^2

Since the argument of z is pi/4, z can be written as z=r*(cos(pi/4)+i*sin(pi/4)) where r is the magnitude of z.

We also know that |x-w| =sqrt(5).

This means that |z-w| = sqrt(5).

Substituting the expression for z, we get:

|r*(cos(pi/4)+i*sin(pi/4))-w| = sqrt(5)

Simplifying this equation, we get:

|r-2-i| = sqrt(5)

Squaring both sides, we get:

(r-2-i)(r-2+i) = 5

Simplifying, we get:

r^2-4+i(2r-2)=5

Equating the real and the imaginary parts, we get:

r^2-4 = 5

and

2r-2=0

Solving these equations simultaneously, we get:

r = sqrt(9)

Therefore,

|z| = sqrt(9)

Hence,

|z|^2 = (sqrt(9))^2 = 9

The required simplified value of the given expression is given as 62.96.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Given expression
= 3.04 × 21.5 - 9.12 / 3.8
= 65.36 - 2.4
= 62.96

Thus, the required simplified value of the given expression is given as 62.96.

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Answer:

4+3=7

-2+3=7

Step-by-step explanation:

1.) The 50% of R100 = R50

2.) The 0.5 of R100 = R50

3.) The ½ of R100 = R50.

Percentage is defined as the part of a whole which is represented per 100 and the symbol which is used is %.

Therefore, is can be concluded since the same value was gotten that 50% = 0.5 = ½.

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Answer: D) 7 3/4

Step-by-step explanation:

With averages, we add all the values and divide by the number of values. Here, we know three out of the four days, let's label the day we don't know x. There are four days, so we can divide by four. 7 1/4 is the average, so we can set the equation equal to 7 1/4.

7 1/4 = (7 1/2 + 7 3/8 + 6 3/8 + x) / 4

Let's multiply both sides by 4 to get rid of the fraction. Let's also add what is in the parentheses

29 = 21 1/4 + x

Now we can isolate x by subtracting 29-21 1/4

so

x = 7 3/4 thus the answer is D

Answer:

D) 7 3/4

Step-by-step explanation:

Let x = amount of last feeding.

7 1/4 = (7 1/2 + 7 3/8 + 6 3/8 + x)/4

4 × 7 1/4 = 7 1/2 + 7 3/8 + 6 3/8 + x

28 + 1 = 7 4/8 + 7 3/8 + 6 3/8 + x

29 = 20 10/8 + x

(20 10/8 is the same as 20 + 10/8 = 20 + 8/8 + 2/8 = 20 + 1 + 1/4 = 21 + 1/4 = 21 1/4)

29 = 21 2/8 + x

29 = 21 1/4 + x

x = 29 - 21 1/4

x = 28 4/4 - 21 1/4

x = 7 3/4

Answer: 7 3/4

So on solving provided question we can say that the probability 20% of these coins are pre-1910, 15% are between 1910 and 1950, and the remaining 75% are post-1950.

Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.

Emma has a collation of 240 coins.

Of these coins, 20% are dated before 1910,  15% are dated between 1910 and 1950 and  the remainder are dated after 1950.

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Answer:

no

Step-by-step explanation:

An identity is an equality that is always true. An equation is an equality that is (only necessarily) conditionally true.

That is to say that for any real value inputted into a variable in an identity, an equality will result, whereas only certain values for a variable in an equation will necessarily result in an equality.

If the given equation is an identity, it should result in an equality no matter what the input for k is. So, to prove that it isn't an identity, we simply have to find one value for k that results in an inequality. To do so, we can simply plug in 0 for k and simplify.

[tex]k - 4 = 4 + k[/tex]

[tex]0 - 4 \stackrel{?}{=} 4 + 0[/tex]

[tex]-4 \ne 4[/tex]

We have found one value for k that results in an inequality. Thus, this equation is not an identity.

Answer: We can write an inequality to show how many more inches Bobby needs to grow to reach his desired height by using the following information:

Bobby hopes that he will someday be more than 72 inches tall.

He is currently 59 inches tall.

We can use the inequality x + 59 > 72, where x is the number of inches Bobby needs to grow to reach his desired height.

This inequality represents the total height (x + 59) being greater than the desired height (72).

To solve this inequality, we can subtract 59 from both sides:

x > 72 - 59

x > 13

So, Bobby needs to grow 13 inches or more to reach his desired height.

Step-by-step explanation:

The rectangular bin has a depth of 20 feet.

A cuboid is a three-dimensional shape with rectangles on all sides. A cuboid has six faces, eight vertices, and twelve edges. All of the angles formed at a cuboid's vertices are right angles. The opposing edges are perpendicular to each other.

For the given situation,

A rectangular bin is in the shape of a cuboid.

Volume of the rectangular bin, V = 1200 cubic feet

Length of the rectangular bin ,l = 10 feet

Width of the rectangular bin,w = 6 feet

Let the height of the rectangular bin be h.

The formula of volume of cuboid is

[tex]v=lwh[/tex]

Now substitute the above values,

⇒ 1200= (10)(6)h

⇒ [tex]h=\frac{1200}{60}[/tex]

⇒ h= 20

Hence we can conclude that the rectangular bin is 20 feet deep.

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The depth of the box is found through the volume formula for a rectangular prism, which involves multiplying the length, width and depth. Knowing the volume when half-filled, and the length and width, we can calculate the box is 10 feet deep.

This problem deals with the concept of volume in mathematics. First, the formula for the volume of a rectangular prism (or a box) is length multiplied by width multiplied by height. In this case, we know that the box is half filled with grain and that the total volume of that grain is 200 cubic feet. So, if the box was filled completely, it would have a volume of twice that, or 400 cubic feet.

Now we know that the box's volume is 400 cubic feet and its length is 8 feet and width is 5 feet. So to find the height (which is what we're calling 'depth' in this case), we can use our volume formula. We divide the total volume by the product of the length and width (400/40) to find the height or depth, resulting in a depth of 10 feet.

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Answer:

15p + 10

Step-by-step explanation:

5 (3p+2)

15p + 10

Answer:

The graph that shows the translation f(x) = f(x) + 1 is the graph that is shifted upward by one unit on the y-axis. All the points on the graph have been moved upward by one unit, but the shape of the graph remains the same as the parent function.

The dotted line graph that shows the translation f(x) = f(x) + 1 is the one where the graph is shifted upward by one unit on the y-axis.

Using multiplication operation, the TRUE statement about the number of kilograms of dog food in the bag is A. There are approximately 55 kilograms of dog food in the bag, because 1/2.2 = 55/25.

The number of kilograms of dog food in the bag is determined using the multiplication operation.

The multiplication operation is one of the basic mathematical operations, including addition, subtraction, and division.

The multiplication operation involves multiplying the multiplicand by the multiplier to get a result called the product after the equal sign.

The pounds of dog food in a bag = 25 pounds

Approximately 2.2 kilograms = 1 pound

The number of kilograms = 25 x 2.2

= 55 pounds

Thus, Option A is correct since 1/2.2 equals 55/25, based on the multiplication operation.

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The angles in the parallelogram are as calculated below

A parallelogram is a quadrilateral with opposite sides parallel. This means that both pairs of opposite sides are parallel and of equal length. The opposite angles of a parallelogram are also equal in measure.

m ∠BEA = 60° (alternate angles)

m ∠BAE = 42° (alternate angles)

m ∠DAE = 40° (alternate angles)

m ∠ABE = 180 - m ∠BEA - m ∠BAE = 78° (angle in a triangle)

m ∠CBE = 78° (vertically opposite angles)

m ∠ABD = 180 - m ∠ABE = 102° (angle on a straight line)

m ∠CBE = 102° (vertically opposite angles)

m ∠BEC = 180 - m ∠CBE - m ∠BEC = 38° (angle in a triangle)

m ∠ADB = 38°  (alternate angles)

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The diameter of the wheel of the truck is 3.33 feet.

A straight line that runs through the sideways of a body or figure, particularly a circle or sphere, is called as a diameter of a circle or sphere.

The distance around the wheel of a truck is 10.45 feet.

Let the diameter of the wheel = d feet.

Circumference of the wheel

= Distance around the wheel,

πd = 10.45 feet.

d = (10.45/π) feet.

Here, we take the π = 3.14.

So,

d = 3.326

d = 3.33

Therefore, the diameter is 3.33 feet.

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Answer:

P(EF) > 0.72 and in general, P(EF) > P(E) + P(F) - 1

Step-by-step explanation:

We know that P(EF) = P(E and F) = P(E|F) * P(F) = P(F|E) * P(E) (by the definition of conditional probability).

For the specific case given, P(E)= 0.9 and P(F) = 0.8,

P(EF) = P(E|F) * P(F) = P(F|E) * P(E) > P(E) * P(F) = 0.72

In general,

P(EF) = P(E|F) * P(F) = P(F|E) * P(E) > min(P(E|F) * P(F), P(F|E) * P(E) ) = P(E) * P(F)

P(EF) > P(E) * P(F) = P(E) + P(F) - 1

This is because P(E|F) and P(F|E) are always less or equal to 1.

There are 45 pounds are needed for 6045 square​ feet.

What is pounds?

The United Kingdom and nine of its associated territories use the sterling as their currency. The pound is the primary unit of sterling, and the term "pound" is also frequently used to refer to the British pound or the pound sterling in international contexts.

Given:

3 pounds of grass seed cover 403 square​ feet.

We have to find the how many pounds are needed for 6045 square​ feet.

As 3 pounds of grass seed cover 403 square​ feet.

⇒ 403/3 = 134.33

⇒  1 pound of grass seed cover 134.33 square feet.

Let x pounds needed for 6045 square feet.

⇒ x = 6045 / 134.33 = 45

Hence, there are 45 pounds are needed for 6045 square​ feet.

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The coordinates of the remaining vertices exists (2√(13),1) and (-2, 4√(13)).

A group of values that exhibit precise positioning The first number on a graph represents the distance along, while the second number represents the distance up or down.

To find the coordinates of the remaining vertices of square ABCD, we can use the information given about diagonal AC and the properties of a square. Since a square has equal side lengths and right angles, we know that the distance between opposite vertices on a diagonal must be equal to the side length of the square.

Given the coordinates of vertex A and C, we can use the distance formula to find the length of AC:

Let the equation be Distance [tex]d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

substitute the values in the above equation, we get

AC = [tex]\sqrt{((2 - (-2))^2 + (4 - 1)^2)}[/tex]

simplifying the equation, we get

AC = √(4 + 9) = √(13)

We can utilize the knowledge of the square's side length to determine the locations of the remaining vertices. Vertex B is known to have the same y-coordinate as vertex A, while vertex C is two units to the left in terms of the x-coordinate. Therefore, the coordinates of vertex B exists (-2 + 2√(13), 1).

Similar to vertex A, vertex D is known to have an identical x-coordinate, but its y-coordinate is four units below vertex C. Therefore, the coordinates of vertex D exists (-2, 4√(13))

Therefore, the coordinates of the remaining vertices exists (2√(13),1) and (-2, 4√(13)) respectively.

The complete question is:

Square ABCD has a diagonal AC with vertices A(-2, 1) and C(2, 4). Find the coordinates of the remaining vertices. Express your answers as decimals, if necessary.

The coordinates are and D.

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Answer:

1) Quadrilateral ABCD is translated 5 units and 4 units down, then reflected in the y-axis. This will result in congruent figures. Translation only moves the figure without changing the size or shape, and reflection in the y-axis will mirror the figure across the y-axis without altering its size or shape. Since both operations preserve the size and shape of the figure, the resulting figure will be congruent to the original.

2) ΔJKL is dilated by a scale factor of 2 and then rotated 180° about the origin. This will result in congruent figures. Dilation by a scale factor of 2 will double the size of the triangle while maintaining its shape, and rotation by 180° about the origin will flip the triangle over the origin while maintaining its shape. Since both operations preserve the size and shape of the figure, the resulting figure will be congruent to the original.

3) Line segment XY is rotated 90° about the origin, dilated by a scale factor of -1/2, and then reflected in the line x = 5. This will result in similar figures. Rotation by 90° about the origin will rotate the line segment by 90 degrees, dilated by a scale factor of -1/2 will shrink the size by half but with a change in direction and reflection in the line x = 5 will mirror the figure across the x=5 line without altering its size or shape. Since all the operations maintain the shape of the figure but the size changes, the resulting figure will be similar to the original one.

Translation and reflection doesn't change the shape or size of the figure, therefore the resulting figure is congruent to the initial one.

Rotation doesn't change the shape of the figure, but dilation changes the size, therefore the resulting figure is similar to the initial one.

Rotation and reflection don't change, but dilation changes the size, therefore the resulting segment is similar to the initial one.

Answer:

1.806 (to the nearest thousandth)

Step-by-step explanation:

1.806 (to the nearest thousandth)

The number 1.80642 would round down to 1.806

Rounding some number to a specific value is making its value simpler (therefore losing accuracy), mostly done for better readability or accessibility.

Rounding to some place keeps it accurate on the left side of that place but rounded or sort of like trimmed from the right in terms of exact digits.

We need to round  1.80642 to the nearest hundredth,

We can see that the 1.80642 is below 2 so it goes down, and it rounds down to 1.80642 instead of, 14.62 then that would round up to the decimal is higher than 1.

1.80642 rounded to the nearest thousandth is 1.806.

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Answer:

To verify that [n+3]! / n! = (n+1), we can use the definition of factorial:

[n+3]! = (n+3) * (n+2) * (n+1) * n!

And we can cancel out n! from both sides of the equation:

(n+3) * (n+2) * (n+1) = n+1

Which is true, and thus [n+3]! / n! = (n+1) holds true.

Another way to verify this is by simplifying the RHS and LHS

(n+1) = (n+1)

And the LHS,

(n+3)! = (n+3)(n+2)(n+1)n! = (n+1)(n+2)(n+3)n! = (n+1)(n+2)(n+3)!/n!

which is also equal to (n+1)

So, [n+3]! / n! = (n+1) is true.

Answer:

x∈(-∞,-0.854)⋃(5.854,∞) or x<-0.854 or x>5.854

Step-by-step explanation:

depends on what u want

Answer:

f(-4) = -36

Step-by-step explanation:

Step-by-step explanation:

A function assigns the value of each element of one set to the other specific element of another set. The value of the function when the value of x is -4 is 92.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

Given that F(x)=3x²-10x+4, therefore, the value of the function can be calculated by substituting the value of x as -4.

Therefore, the value of the function when the value of x is -4  can be calculated as shown below,

F(x) = 3x² - 10x + 4

F(-4) = 3(-4)² - 10(-4) + 4

= 3(16)  + 40 + 4

= 48 + 40 + 4

= 92

Hence, the value of the function when the value of x is -4 is 92.

Answer:

Step-by-step explanation:

The terminal point of the vector a=⟨4,3⟩ based at P=(5,2) is the point (9,5). This can be calculated by adding the components of the vector to the corresponding components of the base point:

Terminal point = (x,y) = (Px + ax, Py + ay)

      = (5 + 4, 2 + 3)

      = (9,5)

Answer:

Step-by-step explanation:
✔️For determining terminal point of vector a=(4,3)  whose base is at the point P=(5,2).

✔️ Add to point P and that

✔️Point that the vector is pointing at to find the terminal point....

➖So we can say That

✔️Since the tail of the vector a=(4,1) a=(4,1) is a point P(2,3) then the tip of the vector, the terminal point woll be :-

(5,2)+(4,3)=(9,6)

your welcome !

Answer:

the first one is the correct answer

Answer:

To find f(2), we substitute 2 for x in the equation of the parabola F(x) = x^2 - 2x - 3:

F(2) = 2^2 - 2(2) - 3 = 4 - 4 - 3 = -3

So f(2) = -3

To find g(-3), we substitute -3 for x in the equation of the line g(x) = x - 2:

g(-3) = -3 - 2 = -5

So g(-3) = -5

The correct solution to this question is as follows:

f(2)= -3   &  g(-3)=-5

Step-by-step explanation:

[tex]f(x)=x^{2} -2x-3[/tex]

[tex]f(2)=2^{2} -2(2)-3[/tex]

[tex]f(2)=4 -4-3[/tex]

[tex]f(2)=-3[/tex]

[tex]g(x)=x-2[/tex]

[tex]g(-3)=-3-2[/tex]

[tex]g(-3)=-5[/tex]

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Answer: 27,800.0 cm[tex]^{3}[/tex] / 1,696.5 cu in.

Step-by-step explanation:

So Basically, If the Diameter is 12 and the height is 15 inches, the radius will be 6 inches making the Volume of the cylinder 1696.46 cu in.

Now if we were to round that to the nearest place it'd be 1,696.5 cu in.

However, If you want the answer in cm[tex]^{3}[/tex] it would be 27,800 cm making the rounded value 27,800.0 cm[tex]^{3}[/tex].

Hope that helped!