What are the 7 types of fractions?

Answer:

Solution,

\(area \\ = 9 \times 6 + \frac{1}{2} \times (6 + 11) \times 6 \\ = 54 + \frac{1}{2} \times 17 \times 6 \\ = 54 + 51 \\ = 105 \: {cm}^{2} \)

hope this helps...

Good luck on your assignment..

Answer:

Step-by-step explanation:

see attached

The length of the shorter leg is 2.5 feet and the length of the longer leg is 6.5 feet

From the question, we have the following dimensions

Hypotenuse = 7 feet

One leg = 4 feet longer than the other

This means that

x = 4 + y

h = 7

Where x and y are the dimensions

The hypotenuse of a right triangle is

h^2 = x^2 + y^2

Substitute the known values in the above equation

So, we have the following equation

(4+ y)^2 + y^2 = 7^2

Evaluate

16 + 8y + y^2 + y^2 = 49

So, we have

2y^2 + 8y - 33 = 0

Using a graphing tool, we have

y = 2.5

Substitute y = 2.5 in x = y + 4

x = 2.5 + 4

Evaluate

x = 6.5

Hence, the triangle have its legs to have lengths of 2.5 feet and 6.5 feet

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In Luther v. Borden, 1849, it is true that the Supreme Court abdicated its role in clarifying whether the people had the right to abolish their state governments. The great statesman Daniel Webster argued that people do indeed possess the right to overthrow their government.

Luther v. Borden, 1849 was a United States Supreme Court case that decided whether the court should intervene in a political question, specifically the Rhode Island Dorr Rebellion of 1841 to 1842. In this case, the court declined to do so and ruled that the authority to decide whether a rebellion against a state government exists or not, rests solely with the United States government. The Court refused to support either side in the rebellion and thus upheld the lower court's decision.

The decision is well-known for declaring that the federal government must guarantee a "republican form of government" in the states. In this context, Webster argued that people possess the right to overthrow their government as they possess the ultimate sovereignty. True.

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Answer:

  90 cm²

Step-by-step explanation:

You want the area of a figure that can be described as a 12 cm by 9 cm rectangle with a 6 cm by 3 cm rectangle removed from it.

You can figure the area of this a number of ways. One is to look at the rectangle that bounds it, and subtract the portions of that rectangle that are not included in the figure.

Here, the shaded area is the difference between the "bounding" 12 × 9 cm rectangle area and the "missing" 6 × 3 cm rectangle area:

  Area = (12 cm)(9 cm) -(6 cm)(3 cm) = 108 cm² - 18 cm² = 90 cm²

The area of the figure is 90 cm²

__

Additional comment

Lines have been drawn that divide the figure into three smaller shapes: a rectangle that is 12 cm by 6 cm, and two squares that are 3 cm by 3 cm.

The shaded area is the total of these:

  (12 cm)(6 cm) + 2(3 cm)(3 cm) = 72 cm² +2(9 cm²) = (72 +18) cm² = 90 cm²

The area should be (and is) the same, regardless of how you compute it.

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Check the picture below.

If the length,breadth, height of cuboid are 16 m, 5 m,4 m , slant height of pyramid is 10m,  height be 6 m then the surface area of composite figure be 444 \(m^{2}\).

Given that the length,breadth,height of cuboid are 16m,5 m, 4m and slant height be 10 m and height be 6 m.

Surface area is basically sum of area of all the sides of a figure.

Surface area of composite figure =  area of cuboid less area of common side + area of 2 slant sides of pyramid+area of two triangles.

=2(lb+bh+hl)-(lb)+2(slant height*breadth of cuboid)+2[1/2* length of cuboid* height of triangle)

=2(16*5+5*4+4*16)-16*5+2(10*5)+2[1/2*16*6]

=2(80+20+64)-80+2*50+2(48)

=2(164)-80+100+96

=328-80+196

=248+196

=444\(m^{2}\)

Hence the surface area of composite figure having a cuboid and pyramid on top is 444\(m^{2}\).

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Answer:12

Step-by-step explanation:

50% of 20 is 10, 10% of 20 is 2 so just add them together.

Answer:

D: {-4, 0, 1, 2}

R: {-4, -3, 1}

Step-by-step explanation:

2inch = 8feet

1 1/2inch = 6feet

2 3/4 inch = 11 feet

4 7/8 inch = 19.5 feet

According to the given question.

1/4 inch = 1ft

⇒ 1 inch = 4ft

Therefore,

2inches = 2 × 4 feet = 8feet

1 1/2inches

= 3/2 inches

= 3/2 × 4feet

= 6feet

2 3/4 inches

= 11/4 inch

= 11/4 × 4feet

= 11 feet

4 7/8 inch

= 39/8 inch

= 39/8 × 4

= 19.5 feet

Hence,

2inch = 8feet

1 1/2inch = 6feet

2 3/4 inch = 11 feet

4 7/8 inch = 19.5 feet

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Answer:

B.   3,158

Step-by-step explanation:

h(x) = -49x − 125

Let x = -67

h(-67) = -49(-67) − 125

          =3283-125

          = 3158

Answer:

Answer B

Step-by-step explanation:

To find the value of h(-67) for the function h(x) = -49x - 125,

we substitute -67 for x in the function and evaluate it.

h ( - 67 ) = - 49 ( - 67 ) - 125

Now we can simplify the expression:

h ( -67 ) = 3283 - 125

h ( -67 ) = 3158

(a) The critical numbers is -3.

(b) The open intervals where the function is increasing is  (-∞, -3).

(c) The open intervals where is decreasing when the interval is (-3, ∞).

Now let's look at function, f(x) = (x+9)/(x+2)³. To find the critical numbers of this function, we need to find where the derivative is equal to zero. The derivative of this function can be found using the quotient rule and is:

f'(x) = [(x+2)³ - 3(x+2)²(x+9)]/(x+2)⁶

Setting this equal to zero and solving for x, we get x = -3. So, the critical number of the function is -3.

If the derivative is positive, the function is increasing. If the derivative is negative, the function is decreasing.

To the left of the critical number (-3), the derivative is negative (since (x+2)³ - 3(x+2)²(x+9) is negative for x < -3).

Therefore, the function is decreasing on the interval (-∞, -3).

To the right of the critical number, the derivative is positive (since (x+2)³ - 3(x+2)³(x+9) is positive for x > -3). Therefore, the function is increasing on the interval (-3, ∞).

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Answer:

ɪ ʟᴏᴠᴇ ʏᴏᴜ sᴏ ᴍᴜᴄʜ ᴘʟssssss

Answer:

2.52

Step-by-step explanation:

Lines KL and MN  are related is by the lines being perpendicular. Therefore, the correct option is C.

Perpendicular lines are lines that are formed when two lines meet each other at the right angle or 90 degrees. This property of lines is said to be perpendicularity.

If a line passes through two points, then the slope of the line is

\(\text{m}=\dfrac{\text{y}_2-\text{y}_1}{\text{x}_2-\text{x}_1}\)

From the given graph it is clear that coordinates of points on line KL are K(-8,2) and L(6,2).

The slope of line KL is

\(\text{m}_1=\dfrac{2-2}{6-(-8)} =0\)

The slope of line KL is 0, it means it is a horizontal line.

From the given graph it is clear that coordinates of points on line MN are M(-4,8) and N(-4,-6).

The slope of line MN is

\(\text{m}_2=\dfrac{-6-8}{-4-(-4)} =\dfrac{1}{0}\)

The slope of line MN is 1/0 or undefined, it means it is a vertical line.

We know that vertical and horizontal lines are perpendicular to each other. Therefore, the lines KL and MN are perpendicular to each other.

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The balance of your investment account at any given point in time during the week can be calculated using the exponential growth formula:

N(t) = N0 * (1 + r)^t, where N0 is the initial balance (1,459 dollars), r is the growth rate per day (4.73/day), and t is the number of days since the week began (n).

For example, if it is the fourth day of the week (n = 4), then the balance of your investment account would be N(4) = 1,459 * (1 + 4.73/day)^4 = 2,719.37 dollars.

The exponential growth formula is a mathematical equation used to calculate the growth of a population over time. It is expressed as N(t) = N0 * (1 + r)^t, where N0 is the initial population size, r is the growth rate, and t is the time in days.

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A n s w e r:

x is equal to 19

Answer: 50m

Step-by-step explanation:

        The perimeter of the shape can be found by adding together all the lengths of the sides. See attached for my work.

\(\huge\textbf{Hey there!}\)

\(\large\textbf{The missing number inside of the irregular figure is: \boxed{\bf9}}\\\large\textbf{because we had to do, 14 - 4, which gives you \underline{10}, then}\\\large\textbf{subtract 10 from another \underline{1}, \& that gives you you 9.}\\\large\textbf{The other missing number at the bottom: \boxed{\bf 7} because it measures}\\\large\textbf{the SAME length as the top number\large\textbf{Lastly, the last missing}}\\\large\textbf{number is \boxed{\bf4}.}\)

\(\large\textbf{Now, let's solve for your perimeter of this irregular figure, }\\\large\textbf{shall we?}\)

\(\large\textbf{14m + 9m + 7m + 7m + 4m +4m + 4m + 1m}\)

\(\large\textbf{= 23m + 7m + 7m + 4m + 4m + 4m + 1m}\)

\(\large\textbf{= 30m + 7m + 4m + 4m + 4m + 1m}\)

\(\large\textbf{= 37m + 4m + 4m + 4m + 1m}\)

\(\large\textbf{= 41m + 4m + 4m + 1m}\)

\(\large\textbf{= 45m + 4m + 1m}\)

\(\large\textbf{= 49m + 1m}\)

\(\large\textbf{= 50m}\)

\(\huge\textbf{Therefore, your answer is: \boxed{\mathsf{\mathsf{50m}}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

The shortest piece is 5 feet long.

Let's use the terms given and set up the equation:
Let x represent the shortest piece.

According to the problem:
- The longest piece is 4 feet longer than the shortest piece, so it is x + 4 feet.
- The remaining piece is 2 feet shorter than the longest piece, so it is (x + 4) - 2 = x + 2 feet.
- The total length of the board is 21 feet.
Now we can set up the equation:
x (shortest piece) + (x + 4) (longest piece) + (x + 2) (remaining piece) = 21 feet.
Combining the terms, we get:
x + x + 4 + x + 2 = 21.
Simplifying, we get:
3x + 6 = 21.
Now, we need to solve for x (the shortest piece):
Subtract 6 from both sides: 3x = 15
Divide both sides by 3: x = 5.

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Answer:

wrong question correct it..

Answer:

Step-by-step explanation:

you a good

for the t

Answer:

a. Income = $408.75

b. Income = $300 + $0.05x

Step-by-step explanation:

Given

Salary = $300 weekly

Commission = 5% of total sales

Solving (a): When total sales = $2175

To calculate his total income, we make use of...

Income = Salary + 5% * Total Sales

\(Income = \$300 + 5\% * \$2175\)

\(Income = \$300 + \$108.75\)

\(Income = \$408.75\)

Solving (b): When total sales = $x

Income = Salary + 5% * Total Sales

\(Income = \$300 + 5\% * \$x\)

Convert % to decimal

\(Income = \$300 + 0.05 * \$x\)

\(Income = \$300 + \$0.05x\)

Answer: True

Step-by-step explanation: Hope this help :D

Each side of the hexagon is about 105.219 ft².

Note that:

A F: 30 ft long.

A O = 1/2 A F = 3ft

Δ C J X =  0 X = 1/2 (A F - A O)

= 1/2 (30-3)

= 13.5ft

Sin 60° =\(\frac{0x}{cx}\)

cx = \(\frac{ox}{sn 60}\)

= 15.558ft = CJ (Sides)

Hence: Each side of the hexagon is: 1/2 CJ  x OX  = 105.219 ft².

The area of the seating section is:

6 ( Each side of the hexagon )

=  6 x 105.219 ft².

631.315 ft².

The area of the entrance and seating section combines is:

CJ x AO = 46.764ft².

The area of the entrance is:

631.315 ft²+ 46.764ft².

= 678. 078ft².

Hence, Each side of the hexagon is about 105.219 ft².

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The value of k is 1, the volume of the parallelepiped is 12 + 4λ, and the vector component of a + c orthogonal to c is (1,1,1.5).

a) Here the area of the parallelogram determined by d and e is given as 10. The area of the parallelogram is given as `|d×e|`.

We have,

d=(2,4)

and e=(4k,3k)

Then,

d×e= (2 * 3k) - (4 * 4k) = -10k

Area of parallelogram = |d×e|

= |-10k|

= 10

As we know, area of parallelogram can also be given as,

|d×e| = |d||e| sin θ

where, θ is the angle between the two vectors.

Then,10 = √(2^2 + 4^2) * √((4k)^2 + (3k)^2) sin θ

⇒ 10 = √20 √25k^2 sin θ

⇒ 10 = 10k sin θ

∴ k sin θ = 1

Therefore, sin θ = 1/k

Hence, the value of k is 1.

Part(b) The volume of the parallelepiped determined by vectors a, b and c is given as,

| a . (b × c)|

Here, a=(1,1,2),

b=(5,3,λ), and

c=(4,4,0)

Therefore,

b × c = [(3 × 0) - (λ × 4)]i + [(λ × 4) - (5 × 0)]j + [(5 × 4) - (3 × 4)]k

= -4i + 4λj + 8k

Now,| a . (b × c)|=| (1,1,2) .

(-4,4λ,8) |=| (-4 + 4λ + 16) |

=| 12 + 4λ |

Therefore, the volume of the parallelepiped is 12 + 4λ.

Part(c) The vector component of a + c orthogonal to c is given by [(a+c) - projc(a+c)].

Here, a=(1,1,2) and

c=(4,4,0).

Then, a + c = (1+4, 1+4, 2+0)

= (5, 5, 2)

Now, projecting (a+c) onto c, we get,

projc(a+c) = [(a+c).c / |c|^2] c

= [(5×4 + 5×4) / (4^2 + 4^2)] (4,4,0)

= (4,4,0.5)

Therefore, [(a+c) - projc(a+c)] = (5,5,2) - (4,4,0.5)

= (1,1,1.5)

Therefore, the vector component of a + c orthogonal to c is (1,1,1.5).

Conclusion: The value of k is 1, the volume of the parallelepiped is 12 + 4λ, and the vector component of a + c orthogonal to c is (1,1,1.5).

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The true statement for the relation is, the order of rows is unimportant.

What is row and column?

A row is an arrangement of items that are put next to or horizontally. A vertical split of items based on category is known as a column. The arrangement is in a left to right direction. The set-up is vertical, from top to bottom.

A table's rows are individual groups of connected data. Rows and columns are found in tables in relational databases (also known as records and fields, respectively).

Consider the given statements,

Entities in a column vary as to kind.

The order of the columns is important.

The order of the rows is unimportant.

More than one column can use the same name.

From the given statements, the true statement for the relation is, the order of rows is unimportant.

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The expressions that are equivalent to 5% of 60 are  5/100 * 60, 0.05 * 60 and 1/20 * 60

The expression is given as:

5% of 60

Express as fraction and decimal

5% of 60 = 5/100 * 60

5% of 60 = 0.05 * 60

This gives

5% of 60 = 1/20 * 60

Hence, the expressions that are equivalent to 5% of 60 are  5/100 * 60, 0.05 * 60 and 1/20 * 60

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Answer:

1) not

2) QE

3) QE

4) QE

5) QE

6) QE

7) QE

8) not

9) QE

10) not

hope this helps you!

Answer:

8

Step-by-step explanation:

Combine the X's to become 1x and then add one to both sides. Also there is this site called . Its a calc. U can use that instead of brainly for the answers. Saves u points.

Answer: 8

Step-by-step explanation:

The no-arbitrage price today of a 5-year $1,000 US Treasury note with a 2% coupon rate and a 4.25% yield to maturity is approximately $908.44, closest to option B: $900.53.

To determine the no-arbitrage price of a 5-year $1,000 US Treasury note with a coupon rate of 2% and a yield to maturity (YTM) of 4.25%, we can use the present value of the future cash flows.First, let's calculate the annual coupon payment. The coupon rate is 2% of the face value, so the coupon payment is ($1,000 * 2%) = $20 per year.The yield to maturity of 4.25% is the discount rate we'll use to calculate the present value of the cash flows. Since the coupon payments occur annually, we need to discount them at this rate for five years.

Using the present value formula for an annuity, we can calculate the present value of the coupon payments:PV = C * (1 - (1 + r)^-n) / r,

where PV is the present value, C is the coupon payment, r is the discount rate, and n is the number of periods.

Plugging in the values:PV = $20 * (1 - (1 + 0.0425)^-5) / 0.0425 = $85.6427.

Next, we need to calculate the present value of the face value ($1,000) at the end of 5 years:PV = $1,000 / (1 + 0.0425)^5 = $822.7967.

Finally, we sum up the present values of the coupon payments and the face value:No-arbitrage price = $85.6427 + $822.7967 = $908.4394.

Rounding to the penny, the no-arbitrage price is $908.44, which is closest to option B: $900.53.

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