If m=2 2/5, what is the value of 5 ( m+2)

9514 1404 393

Answer:

  11 cm

Step-by-step explanation:

The volume of the prism is given by the formula ...

  V = Bh

where B is the area of the triangular base, and h is the height.

Filling in the given information, we find the area of the triangular base to be ...

  726 cm³ = B(12 cm)

  B = 726 cm³/(12 cm) = 60.5 cm²

The area of an isosceles right triangle is half the area of a square with the same side lengths:

  B = 1/2s²

  60.5 = 1/2s²

  s = √(2(60.5)) = √121 = 11

The length of each of the equal sides of the base is 11 cm.

Therefore ,a s a result, the answer to the given equation problem is that a carpet costs $2072.

When all of the highest powers of the variables are equal to one, an equation is said to be linear. The parts are linked together. Another name for this kind of problem is a one-degree equation. The following paragraphs will teach you how to solve a linear equation in one or two variables using the usual form, formula, graph, and directions.

Here,

Given :

50a + 12h is the floor area of a square foot.

where h is the amount of hours.

Thus.

When t=6 and a=40

So ,

the price of carpeting

=> Price = 50a plus 12h

=> Cost = 50*40 + 12*6

=> Cost = 2000 + 72

=> Cost = 2072

As a result, the answer to the given equation's problem is that a carpet costs $2072.

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Answer:

0.6.

Step-by-step explanation:

Sin A = opposite side / hypotenuse

= 3/5 = 0.6.

Answer: 0.6.

Step-by-step explanation:

Sin A = opposite side / hypotenuse

= 3/5 = 0.6.

Answer:

-4

Step-by-step explanation:

8-12=-4

Answer:

-4

Step-by-step explanation:

8-12=-4

Answer:

Step-by-step explanation:

Plug in -6 for x

f(-6)=13(-6)-5

     = -78-5

     = -83

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The larger number is obtained as 1.3.

A decimal number is the representation of a number in whole and a part. The whole is represented by an integer while the part is equivalent to a number divided by the order of 10.

The given decimal numbers are 1.05 and 1.3.

The decimal 1.3 can be written as 1.30.

Now, the two decimals can be compared as below,

1.05 and 1.30

Both the decimals have equal integer part.

Digit at tenths of 1.05 is 0 and for 1.30 is 3.

Since, 3 > 0.

⇒  1.30 > 1.05

Hence, 1.3 is greater than 1.05.

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If a priority mail package has a maximum combined length and girth of 171 inches and is rectangular in shape with a square cross section, the maximum volume allowed is 925.

Given that,

The combined length and girth of a priority mail package cannot exceed 171 inches, according to postal standards.

We have to find calculate the size of the largest volume, cylindrical container that can be sent via priority mail.

We know that,

Let

Length= Breadth =x

Height=y

Volume can be written as

V=x²y

Now,

Combined length and girth is

7x+y=171

y=171-7x

V(x)=x²(171-7x)

V(x)=171x²-7x³

Differentiating with respect to x.

V'(x)=343x-21x²

The maximum value

V'(x)=0

343x-21x²=0

7x(49-3x)=0

x=0

and

49-3x=0

3x=49

x=49/3

Once again differentiating with respect to x.

V''(x)=343-42x

V''(x)=343-42(0)=343>0(min)

V''(x)=343-42(49/3)=-343<0(max)

The maximum volume is

Vmax=V(49/3)=(49/3)(171-7(49/3))

Vmax=925

Therefore, If a priority mail package has a maximum combined length and girth of 171 inches and is rectangular in shape with a square cross section, the maximum volume allowed is 925.

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Answer:

Polygon is pentagon

Step-by-step explanation:

In a regular polygon each angle is equal.

In a regular polygon Each angle of polygon is given by (2n-4)90/n

where n is the number of sides of the polygon

given

An interior angle of a regular polygon has a measure of 108°.

(2n-4)90/n = 108

=> 180n - 360 = 108n

=> 180n-108n= 360

=> 72n = 360

=> n = 360/72 = 5

Thus, polygon has 5 sides

and we know that regular polygon which has 5 sides is called pentagon.

Thus, Polygon is pentagon

Answer:

B) y - 2 = (-1/4)(x - 2)

Step-by-step explanation:

Start with the equation of the given line: y = 4x + 7.

Determine the slope of the given line, which is 4.

Since the perpendicular line has a negative reciprocal slope, the perpendicular line's slope is -1/4.

Use the point-slope form of a linear equation: y - y₁ = m(x - x₁), where (x₁, y₁) is the given point and m is the slope.

Substitute the values x₁ = 2 and y₁ = 2 into the point-slope equation: y - 2 = (-1/4)(x - 2).

Simplify by distributing -1/4 to (x - 2): y - 2 = (-1/4)x + 1/2.

Add 2 to both sides to isolate y: y = (-1/4)x + 1/2 + 2.

Simplify further: y = (-1/4)x + 5/2.

The equation in point-slope form for the line passing through (2, 2) and perpendicular to y = 4x + 7 is y - 2 = (-1/4)(x - 2), which matches option B.

Necessary Formulas:

Area of a Square = base x height OR length^2

---All sides of a square are the same length!

Perimeter of a Square = 4 x length

Steps to Solve:

Area of the square = length^2

49 = length^2

length = 7

Perimeter of the square = 4 x length

Perimeter = 4 x 7

Perimeter = 28

Answer:

The perimeter of the square is 28 meters.

Hope this helps!

Answer:

I believe the answer is D. I can guarentee you that C is incorrect at least

Answer:

The answer is D

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

The factor of the expression 9t – 3u will be 3 and 3t – u.

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

One of the many branches of mathematics is algebra. Algebra, which is a common thread throughout practically all of mathematics, is broadly defined as the study of numbers and symbols and the procedures for using these symbols in formulae.

The expression is given below.

⇒ 9t – 3u

Simplify the expression, then we have

⇒ 3·3t – 3u

⇒ 3(3t – u)

The factor of the expression 9t – 3u will be 3 and 3t – u.

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Answer:

5/8

Step-by-step explanation:

5/8=0.6.25

0.625> all the other numbers

The missing coefficient of the x-term after finding the product of (-x - 5)², is: C. 10.

The coefficient of a variable is the numerical value that comes before the variable and multiplies it.

Find the product of (-x - 5)²:

(-x - 5)(-x - 5)

-x(-x - 5) -5(-x - 5)

x² + 5x + 5x + 25

x² + 10x + 25

The x-term is "10x". The coefficient is: 10.

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Answer:

A

Step-by-step explanation:

The equation that best describes the relation is y = -x+1 ( optionD)

A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.

Taking x(0,1) and y ( 1,0)

therefore the slope of the line

= 0-1/1-0

= -1/1 = -1

the equation a line is given as

y-y1 = m(x-x1)

= y-1 = -1( x - 0)

= y-1 = -x

y = -x +1

therefore the equation that describe relation is y = 1-x or y = -x+1

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Answer:

60 cars

Step-by-step explanation:

In order to find how many total cars are in the parking lot, you must use a ratio. This is what you know:

25% = SUVs

40% = pickups

X% = cars

100% - (25% + 40%) = 35%. Thus, the remaining 35% of the cars are sedans. Now, we use a ratio to find the TOTAL number vehicles. See below:

X/65% * 21/35% = 35x = (21x65) = 1,365 (Hint: remember cross-multiplying??)

35x = 1,365

x = 1,365/35

x = 60 total cars

Sanity check:

25% of 60 = 15 SUVs

40% of 60 = 24 pickups

35% of 60 = 21 sedans

TOTAL: 60 cars

Answer:

60

Step-by-step explanation:

Answer:

-3k^3+8k

Step-by-step explanation:

-2k^3-k^3+8k

Combine like terms

-3k^3+8k

Answer: Standard Form: \(-3k^3+8k\)

Step-by-step explanation:

\(-k*(3k^2-8)=-3k^3+8k\)

Step 1:

\(((0 - 2k^3) - k^3) + 8k\)

Pull out like factors, Pulling out like terms:  \(8k - 3k^3 = -k\) • \((3k^2 - 8)\)

Factoring: \(3k^2 - 8\)

Final result:

\(-3k^3+8k\)

Step-by-step explanation:

mortgages, lines of credit, checking and savings accounts, auto loans and the convenience of electronic banking and Automated Teller Machines (ATMs)

Step-by-step explanation:

Banks and credit unions offer a variety of financial services, including:

Checking and savings accounts

Personal loans

Mortgages

Credit cards

Investment products (e.g. mutual funds, individual retirement accounts (IRAs))

Foreign currency exchange

Online and mobile banking

Wire transfers

Automated teller machines (ATMs)

Insurance products (e.g. life, auto, homeowners)

Wealth management services

Small business banking services.

Note that the exact services offered may vary depending on the institution.

Answer:

9 trucks/hour

Step-by-step explanation:

If he loaded 9 trucks in one hour, his loading speed is 9 trucks per hour.

Both representations are equivalent and describe the same function.the function rule for this table is:   f(x) = -1/2 x 2

The slope or gradient of a line is a number that describes both the direction and the steepness of the line. A slope of a line is the change in y coordinate with respect to the change in x coordinate.

To write a function rule for a given array, we need to determine how the values ​​in the output column (y) relate to the values ​​in the input column (x).

Looking at the given data, we notice that the output values ​​decrease by 1 every time the input value increases by 2. This suggests that the function is linear and that we can use the slope-intercept form of a linear equation to represent it. .

The slope-intercept form of a linear equation is y = mx b, where m is the slope and b is the y-intercept. In this case, the slope m is -1/2 because the output values ​​decrease by 1 every time the input values ​​increase by 2. The y-intercept b is 2 because the output value is 2 when the input value is 0.

Therefore, the function rule for this table is:

f(x) = -1/2 x 2

where x is the input value and f(x) is the output value.

Alternatively, we can also represent the function in table entries, for example:

f(0) = 2

f(2) = 1

f(4) = 0

f(6) = -1

Both representations are equivalent and describe the same function.

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The equation that represents the table, in slope-intercept form, is expressed as: y = 5x.

To write the equation of the table, find the slope (m) and the y-intercept (b), and express the equation as y = mx + b.

Let x represent time (min) and y represent water used (gal).

Slope (m) = change in y / change in x = 10 - 5 / 2 - 1 = 5/1

Slope (m) = 5

Find the y-intercept (b) by substituting m = 5 and (x, y) = (1, 5) into y = mx + b:

5 = 5(1) + b

5 - 5 = b

b = 0

Substitute m = 5 and b = 0 into y = mx + b:

y = 5x + 0

y = 5x

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Answer and Step-by-step explanation: Paddling 12 miles upstream will take you 12 mi / (vp - 2 mi/hr) = 12 / (vp-2) hr. (If you're having trouble figuring out how to calculate time from speed and distance, just look at the units. Time (hr) is required as a result. We have two units: miles and miles per hour. Divided by mi/hr, mi is equal to mi * hr/mi, which equals hr. 28 / (vp + 2) is the time it takes to paddle 28 miles downstream. Also, these ought to be equal: 12 / (vp-2) = 28 / (vp+2) (cross multiplication) (cross-multiplication) 28 * (vp-2) = 12 * (vp+2) 28 vp - 56 = 12 vp + 24 (collect vp terms on one the left side and constants on the right side) (collect vp terms on one the left side and constants on the right side) (28-12) vp = 24 + 56\svp = 80/16

Answer:  0 ft, maximum, 11.6 ft, 6.8 ft, 13.6 ft

Step-by-step explanation:

y = -0.25x² + 3.4x

   a= -0.25    b = 3.4    c = 0

"c" is the initial height = 0

"a" is negative ⇒ ∩-shaped parabola ⇒ vertex is a maximum

Axis of Symmetry (horizontal distance at maximum):

\(x=\dfrac{-b}{2a}=\dfrac{-(3.4)}{2(-0.25)}=\dfrac{-3.4}{-0.5}\quad = \large\boxed{6.8}\)

Maximum: (heighth at maximum)

y = -0.25(6.8)² + 3.4(6.8)

   =    -11.56      +    23.12

   =  11.56

Zeros (when the ball is on the ground):

0 = -0.25x² + 3.4x

0 = x(-0.25x + 3.4)

0 = x                      0 = -0.25x + 3.4

                          -3.4 = -0.25x

                       \(\dfrac{-3.4}{-0.25}=x\)

                          13.6 = x

x = 0 is where the ball started

x = 13.6 is where the ball landed

The unknown angle of the triangle is 58 degrees.

A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees.

Therefore, the unknown angle can be found using the external angle theorem.

The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle

Hence,

138 = x + 80

x = 138 - 80

x = 58 degrees

Therefore, the unknown angle is 58 degrees.

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There are  0.09779 grams in 7.4 x 10^19 Atoms of copper.

The number of grams in a given number of atoms of an element, we need to use the concept of molar mass and Avogadro's number.

The molar mass of an element represents the mass of one mole of that element. For copper (Cu), the molar mass is approximately 63.546 grams per mole.

Avogadro's number, denoted as N_A, is the number of atoms or molecules in one mole of a substance. It is approximately 6.022 x 10^23 atoms/molecules per mole.

To calculate the mass of a given number of atoms, we can use the following steps:

Step 1: Determine the number of moles of copper atoms.

Given: 7.4 x 10^19 atoms of copper

Number of moles = (Number of atoms) / (Avogadro's number)

Number of moles = (7.4 x 10^19) / (6.022 x 10^23)

Step 2: Calculate the mass using the molar mass of copper.

Mass = (Number of moles) x (Molar mass)

Mass = (7.4 x 10^19) / (6.022 x 10^23) x 63.546

Now, we can perform the calculations:

Mass ≈ 0.09779 grams

Therefore, there are approximately 0.09779 grams in 7.4 x 10^19 atoms of copper.

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5 divided by 4 is 5/4, so

every feeder will need 5/4 pounds of birdseed

Answer:

  18 cubic inches

Step-by-step explanation:

The formulas for the volumes of a cone and a cylinder can be used to answer this question.

The volume of a cone is given by ...

  V = 1/3πr²h . . . . . volume of cone with radius r and height h

The volume of a cylinder is given by ...

  V = πr²h . . . . . volume of a cylinder with radius r and height h

Comparing the formulas, we see that the volume of a cone is 1/3 the volume of a cylinder with the same radius and height.

  (cone volume) = 1/3(cylinder volume)

Multiplying this equation by 3 gives ...

  3×(cone volume) = (cylinder volume)

Using the given value for cone volume, we have ...

  cylinder volume = 3×(6 in³) = 18 in³

The volume of the cylinder is 18 cubic inches.