1. A square piece of carpet has sides that are 5 feet long. What is the carpet's perimeter?​

The simplified expression of the expression given as -k-5(2k+10) is -11k - 50

The expression is given as:

-k-5(2k+10)−

Rewrite properly as:

-k - 5(2k + 10)

Open the brackets

-k - 10k - 50

Evaluate the like terms

-11k - 50

Hence, the simplified expression of the expression given as -k-5(2k+10) is -11k - 50

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Answer:

2n - 4 < 4n + 8

I believe this is the algebraic expression for the problem. :)

Answer:

p = 6

Step-by-step explanation:

5 + 2/3 (2p - 6) = 9

5 + 4/3p - 4 = 9

1 + 4/3p = 9

4/3p = 8

p = 6

Answer:

p= 6

Step-by-step explanation:

Solve for p:

(2 (2 p - 6))/3 + 5 = 9

Put each term in (2 (2 p - 6))/3 + 5 over the common denominator 3: (2 (2 p - 6))/3 + 5 = 15/3 + (2 (2 p - 6))/3:

(15/3 + (2 (2 p - 6))/3) = 9

15/3 + (2 (2 p - 6))/3 = (2 (2 p - 6) + 15)/3:

((2 (2 p - 6) + 15)/3) = 9

2 (2 p - 6) = 4 p - 12:

((4 p - 12) + 15)/3 = 9

Grouping like terms, 4 p - 12 + 15 = 4 p + (15 - 12):

(4 p + (15 - 12))/3 = 9

15 - 12 = 3:

(4 p + 3)/3 = 9

Multiply both sides of (4 p + 3)/3 = 9 by 3:

(3 (4 p + 3))/3 = 3×9

(3 (4 p + 3))/3 = 3/3×(4 p + 3) = 4 p + 3:

(4 p + 3) = 3×9

3×9 = 27:

4 p + 3 = 27

Subtract 3 from both sides:

4 p + (3 - 3) = 27 - 3

3 - 3 = 0:

4 p = 27 - 3

27 - 3 = 24:

4 p = 24

Divide both sides of 4 p = 24 by 4:

(4 p)/4 = 24/4

4/4 = 1:

p = 24/4

The gcd of 24 and 4 is 4, so 24/4 = (4×6)/(4×1) = 4/4×6 = 6:

Answer: p = 6

Answer:

x= \(-\frac{1}{14}\)

Step-by-step explanation:

im going to assume the 3x2 mean 3 times 2

Answer:

(x) ∠CAB

Step-by-step explanation:

In ΔCOD and ΔBOA

\(\frac{OA}{OB} = \frac{OD}{OC} \\\\\implies \frac{OC}{OB} = \frac{OD}{OA}\)

Also,

∠COD = ∠BOA (vertically opposite angles)

⇒ ΔCOD and ΔBOA are similar

⇒ ∠CDO = ∠BAO

⇒ ∠CDB = ∠BAC

⇒ ∠CDB = ∠CAB

Answer:

17

Step-by-step explanation:

14-24+3

Step-by-step explanation:

enjoyyyyyy brooooooooooooooooo

Answer:

65

Step-by-step explanation:

1*5*2 + -1*0*-3 + 3*2*1 - -3*5*3 - 1*0*1 - 2*2*-1 =

10 + 0 + 6 + 45 - 0 + 4 =

65

see attached picture, that shows the recipe to do the other one.

Answer:

The volume is 140

Step-by-step explanation:

V = l × w × h

V = 7 × 5 × 4

V = 140

Answer:

Scores between 34 and 70 on the fourth test will give Paul a C for the semester.

Step-by-step explanation:

The average is given by the sum of all scores divided by the number of scores.

In this question:

Sum of all scores: 75 + 80 + 91 + x = 246 + x

Number of tests : 4

Grade of 70:

\(\frac{246 + x}{4} = 70\)

\(246 + x = 280\)

\(x = 280 - 246\)

\(x = 34\)

Grade of 79:

\(\frac{246 + x}{4} = 79\)

\(246 + x = 316\)

\(x = 316 - 246\)

\(x = 70\)

Scores between 34 and 70 on the fourth test will give Paul a C for the semester.

Step-by-step explanation:

f(x) = 4x + 6

g(x) = 4x² + 1

Remember that ☞ gof(4) = g( f(4) )

= 4(4x + 6)² + 1

= 4(4.4 + 6)² + 1

= 4(16 + 6)² + 1

= 4(22)² + 1

= 4(484) + 1

= 1.936 + 1

= 1.937

So, gof(4) = 1.937

Answer:

g(f(4)) = ?

f(x) = 4x +6

f(4) = 4(4) + 6

f(4) = 16 + 6

f(4) = 22

g(22) = 4(22)^2 + 1

g(22) = 4(484) + 1

g(22) = 1936 + 1

g(22) = 1937

g(f(4)) = 1937

Answer:

\(\frac{1}{16}\)

Step-by-step explanation:

\(6\frac{1}{4}=\frac{25}{4}\)

since percent means divided by 100

\(\frac{25}{4} *\frac{1}{100}\)

=\(\frac{1}{16}\)

Answer:

1/16

Step-by-step explanation:

625/10000

Since the line is a solid line, it means that the sign must have an equality represented as well, leaving the only possible options the third and the fourth.

Finally since the shadowed portion of the graph is above the line it means that the graph should be greater to the line, then, the correct inequality is:

Kinzang grew 0.96 meters.

We have,

To find how much Kinzang grew, we need to subtract his height at birth from his current height:

Height Kinzang grew = Current height - Height at birth

Height Kinzang grew = 1.49 m - 0.53 m = 0.96 m

Therefore,

Kinzang grew 0.96 meters.

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Emplοyee's annual cοntributiοn: $3,097.71

Emplοyee's mοnthly deductiοn: $258.14

An algebraic expressiοn is a mathematical phrase that cοntains variables, cοnstants, and mathematical οperatiοns. It may alsο include expοnents and/οr rοοts. Algebraic expressiοns are used tο represent quantities and relatiοnships between quantities in mathematical situatiοns, οften in the cοntext οf prοblem-sοlving.

The emplοyee's percent is 100% decreased by the emplοyer's percent.

100%−73%=27%

Based on the information you provided, Rubina Shaw's annual premium for the HMO plan is $11,473. Her employer pays 73 percent of this premium, so Rubina's portion of the premium would be:

27% × $11,473 = 0.27 × $11,473 = $3,097.71

The emplοyee's annual cοntributiοn is the prοduct οf the emplοyee's percent and the tοtal premium.

The emplοyee's mοnthly deductiοn is the emplοyee's annual cοntributiοn divided by the number οf mοnths in a year.

$3,097.71 ÷ 12

= $258.14

Emplοyee's annual cοntributiοn: $3,097.71

Emplοyee's mοnthly deductiοn: $258.14

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Complete question:

Find the employee's total annual contribution and the employee's monthly deduction. Rubina Shaw, family plan. HMO annual premium is $11,473. Employer pays 73 percent.

The product of the ages 2 years from today is 924

Let the ages of the three cousins be x, y and z. If the product of their ages is 1716, hence;

xyz = 1716

If the product of their ages last year is 1320, then;

(x-1)(y-1)(z-1) = 1320

Two years ago, the product of their ages will be;

(x-2)(y-2)(z-2) = 1320- (1716-1320)

(x-2)(y-2)(z-2) = 1320-396

(x-2)(y-2)(z-2) =924

Hence the product of the ages 2 years from today is 924

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The k-coordinate of his house is given as follows:

k = -1.

Suppose that we have two points of the coordinate plane, and the ordered pairs have coordinates \((x_1,y_1)\) and \((x_2,y_2)\).

The shortest distance between them is given by the equation presented as follows, derived from the Pythagorean Theorem:

\(D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex

For this problem, we have that:

Hence the value of k is obtained as follows:

\(\sqrt{(3 - (-1))^2 + (1 - k)^2} = \sqrt{20}\)

Hence:

(1 - k)² = 4

1 - k = 2

k = -1.

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The domain, range, x-intercept, or y-intercept of g(x) = f(x + 4) + 8. The features of g depend on the corresponding features of f.

Given the function g(x) = f(x + 4) + 8, let's examine its features:

Domain:

The domain of the function g will be the same as the domain of the function f, which depends on the restrictions or constraints of f.  However, it is important to note that shifting the input by 4 units (x + 4) does not inherently change the domain unless there are specific restrictions imposed by f.

Range:

Similar to the domain, the range of the function g will depend on the range of the function f.

x-intercept:

The x-intercept of a function is the point where the graph intersects the x-axis, meaning the y-coordinate is zero (y = 0). To find the x-intercept of g(x), we set g(x) = 0 and solve for x.

0 = f(x + 4) + 8

By subtracting 8 from both sides:

-8 = f(x + 4)

Since the exact value of x that makes f(x + 4) equal to -8. The x-intercept will depend on the behavior of f.

y-intercept:

The y-intercept of a function is the point where the graph intersects the y-axis, meaning the x-coordinate is zero (x = 0). To find the y-intercept of g(x), we substitute x = 0 into the function:

g(0) = f(0 + 4) + 8

g(0) = f(4) + 8

Again, the specific value of f(4) will depend on the behavior of the function f.

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Answer:

False

Step-by-step explanation:

Upon graphing the function with any given graphing calculator, the function does not have symmetry across the y axis, as the graph is going below the x axis on one side of the y axis, and above the x axis on the other side of the y axis.

Answer:

x = 31

Step-by-step explanation:

So, the angle of a line is 180 degrees. This is a very important fact, because this means that (5x - 16) + (x + 10) = 180 degrees.

Note: The parenthesizes are not needed, but I put them there to symbolize the adding of those two angles that make up the line.

Adding like terms, we get:

6x - 6 = 180

Move the -6 over to the right side.

We get:

6x = 186

Dividing both sides by 6, we get the value of x:

x = 31

If you have any questions, please don't be afraid to ask!

Let x be the number we are searching for.

(3/4)x = 1/10

The notion of finiteness refers to the idea that something has a definite limit or is not infinite. It is a concept that has been applied in various fields of study, such as mathematics, computer science, and philosophy.

In mathematics, finiteness is a fundamental concept used to define various mathematical objects and structures, such as sets, numbers, and sequences. It is also used to define the properties of functions and to study the properties of mathematical systems.

In computer science, the notion of finiteness is crucial for the design and analysis of algorithms and computer programs. Computer scientists use finite state machines, which are mathematical models that describe the behavior of a system that can be in one of a finite number of states.

This concept is essential to the development of computer programs that are efficient, reliable, and secure.

In philosophy, finiteness is a concept that is often used to reflect on the nature of human existence and the limits of human knowledge. It is also used to examine the concept of time and the nature of reality.

In general, the notion of finiteness is a fundamental concept that has many applications in various fields of study.

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let's firstly convert the mixed fraction to improper fraction and proceed from there.

\(\stackrel{mixed}{2\frac{1}{4}}\implies \cfrac{2\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{9}{4}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{9}{4}\div \left(\cfrac{3}{8}\div \cfrac{1}{2} \right)\implies \cfrac{9}{4}\div \left(\cfrac{3}{8}\cdot \cfrac{2}{1} \right)\implies \cfrac{9}{4}\div \left(\cfrac{3}{4} \right) \\\\\\ \cfrac{9}{4}\cdot \left(\cfrac{4}{3} \right)\implies \cfrac{9}{3}\cdot \cfrac{4}{4}\implies 3\cdot 1\implies \text{\LARGE 3}\)

Answer:

3a + 3b

Step-by-step explanation:

The distributive property of multiplication over addition is

a(b + c) = ab + ac

Here we have

3(a + b)

We apply the distributive property and get

3 × a + 3 × b

which simplifies to

3a + 3b

Answer:

The percentage decrease = 0.9%

Step-by-step explanation:

Using the formula

Percentage Decrease = [ (Initial Value - Final Value) / |Initial Value| ] × 100

                                    = [(9.80 - 9.71 ) / (9.80)] × 100

                                    = [0.09 / 9.80] × 100

                                    = 0.009 × 100  

                                    = 0.9%

Therefore, the percentage decrease = 0.9%

Answer:

337.35 mi/h^2

Step-by-step explanation:

Given the equation;

v= u +at

v= final velocity = 51 mi/h

u= initial velocity = 23 mi/h

t = time = 5 mins or 0.083 hours

a = acceleration, the unknown

51 = 23 + 0.083a

51 - 23 = 0.083a

a= 51 - 23/0.083

a= 337.35 mi/h^2

The sector areas of the grey and white areas are 159.09 in² and 41.87 in²

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

The area of shaded sector is calculated as

Area = Central angle/360 * π * Radius^2

Substitute the known values in the above equation, so, we have the following representation

Hence, the area is 159.09

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Answer:

80  4

Step-by-step explanation:

80 + 4 = 84

80/4=20

Hope this helps :)

The area of carpet that will be needed for the hole is 6 square feet

Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.

To find the area of a rectangle, we multiply the length of the rectangle by the width of the rectangle.

The hole has a rectangular shape.

Therefore the area of the hole =l×w

length = 3ft

width = 2ft

area of the hole = 3×2 = 6 squared feet

therefore the area of the carpet that will be needed for the hole is 6 square feet

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