Simplify to create an equivalent expression 6(7-3y)+6(y+1)

The area of the pattern is calculated by finding the area of the circle, semicircles, and quarter-circles separately and then adding them together. The area of the pattern is approximately 1005.31 cm^2.

To find the area of the pattern, we need to calculate the area of the circle, semicircles, and quarter-circles separately. The area of a circle is found using the formula A = πr^2, where r is the radius. So, the area of the circle is A = π(8)^2 = 64π cm^2. The area of a semicircle is half the area of a circle, so it is 32π cm^2. The area of a quarter-circle is a quarter of the area of a circle, which is 16π cm^2. To find the total area of the pattern, we add the areas of the circle, semicircles, and quarter-circles: 64π + 4(32π) + 8(16π) = 64π + 128π + 128π = 320π cm^2. Rounding to the nearest hundredth, the total area of the pattern is approximately 1005.31 cm^2.

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Finding the areas of the circles, semicircles, and quarter-circles separately and combining them together yields the pattern's overall area. The pattern's estimated area is 1005.31 cm^2.

To determine the area of the pattern, individual areas of the circle, semicircles, and quarter-circles are computed separately.

Utilizing the formula

A = πr^2

for a circle with a radius (r) of 8 cm, the circle's area is 64π cm^2.

The semicircles, constituting half the circle's area, total 32π cm^2 each.

Quarter-circles, representing a quarter of the circle's area, contribute 16π cm^2 each.

Combining these, the pattern's total area is calculated as 64π + 4(32π) + 8(16π) = 320π cm^2.

Rounded to the nearest hundredth, the total area is approximately 1005.31 cm^2.

This comprehensive approach ensures the accurate summation of all constituent shapes within the intricate pattern.

Answer:

X=56/9

Step-by-step explanation:

7x+2(x-5)46

7x+2x-10=46

9x-10=46

9x=46+10

9x=56

Answer:

212.5

Step-by-step explanation:

10=85

212.5=25

Gavin can drive 8.5 miles with 1 gallon of gas. Therefore, he can drive 212.5 miles with 25 gallons of gas.

The question asks how many miles Gavin can drive on 25 gallons of gas, given that he has driven 85 miles on 10 gallons of gas. This requires the use of proportions to calculate. First, you find out how many miles Gavin can drive on 1 gallon of gas, which is 85 miles / 10 gallons = 8.5 miles/gallon. Then, using this value, we can multiply it by 25 gallons to get the total miles Gavin can drive on 25 gallons, which is 8.5 miles/gallon * 25 gallons = 212.5 miles. Therefore, Gavin can drive 212.5 miles on 25 gallons of gas.

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Answer:

6 rows

Step-by-step explanation:

How many boxes will be in the row ?

5+1=6

five rows

one more added to that same row

add u get six

Answer:

6 boxes.

Step-by-step explanation:

If another row is added to the bottom of the stack, how many boxes will be in the row. The stack consists of five rows of boxes that are all the same size.

5 + 1 = 6 boxes.

If x=6 and y=3 is 9_______________________________________

Answer:

x = 2

Step-by-step explanation:

The product of the external part times the entire secant of one secant is equal to the external part times the entire secant of the other secant, that is

(x + 4)(x + 5) = (x + 1)(x + 12) ← distribute factors on both sides

x² + 9x + 20 = x² + 13x + 12 ( subtract x² from both sides )

9x + 20 = 13x + 12 ( subtract 13x from both sides )

- 4x + 20 = 12 ( subtract 20 from both sides )

- 4x = - 8 ( divide both sides by - 4 )

x = 2

Figure 1: find the surface area: [(3 x 2 1/4) x 2] for the top and bottom. [(4 1/2 x 2 1/4)x 2] for the left and right squares. [(3 x 4 1/2) x 2] for the front and back. Which should be 20 1/4 + 27 + 13 1/2 = 60 3/4 m. The area is 4 1/2 x 3 x 2 1/4 = 30 3/4 m.

Answer:

[tex]\large\boxed{\dfrac{16a^4b^2c}{2abc}=8a^3b}[/tex]

Step-by-step explanation:

[tex]\dfrac{16a^4b^2c}{2abc}=\dfrac{16}{2}\cdot\dfrac{a^4}{a}\cdot\dfrac{b^2}{b}\cdot\dfrac{c}{c}=8a^3b[/tex]

Answer:

He used formula C).

Step-by-step explanation:

The correct formula for the slant height is given by

x^2 = 3^2 + 7^2

x =  7.62 cm.

To get 9.2 he must have used

x^2 = 6^2 + 7^2 = 85

as  √85 = about 9.2.

Answer:

the green at the top means i got it right

Step-by-step explanation:

Answer:

width=6cm, lenth is 7cm

Step-by-step explanation:

Let width of rectangle be x cm

Twice width=2x cm

length=2x-5 cm

Area of the rectangle= L× W =42cm²

(2x-5) × x =42

x(2x-5)=42

2x²-5x-42=0

solving the quadratic equation

x=6cm

width=6cm

length= (2×6)- 5 =7cm

Answer:

Part A : 9x^2 - x - 3

Part B : 5x^2 - 9x + 9

Part C : -5x^2 + 9x - 9

Answer: [tex]3b^2-9bat^2+6a^2t^4[/tex]

Step-by-step explanation:

To solve this problem you must apply the proccedure shown below:

- Apply the Distributive property.

- Remember that, according the exponents properties, when you multiply two powers with equal base, you must add the exponents.

- Add the like terms.

Therefore, you obtain that the product is the following:

[tex](b-2at^2)(3b-3at^2)=3b^2-3bat^2-6bat^2+6a^2t^4=3b^2-9bat^2+6a^2t^4[/tex]

Answer:

95 percent

Step-by-step explanation:

The empirical rule states that approximately 95% of observations will fall within 2 standard deviations of the mean if the population is approximately symmetrical(normal) in distribution.

The interval from 33 to 65 falls within 2 standard deviations of the mean;

49-2(8) = 33

49+2(8) = 65

Thus, 95 percent  of data will fall within the interval from 33 to 65

Answer:

c

Step-by-step explanation:

Notice that there are two variables-- gender and preference-- this is where the two in two-way

Answer:

C)

Step-by-step explanation:

8.5 would be more consistent

Answer:

4.2 would be more consistent.

Step-by-step explanation:

no. No results should be presented in a fair and objective manner.

Answer:

Assume that, as a newspaper reporter, you must graph data showing that LED light bulbs are more environmentally friendly than traditional light bulbs. Given that the environment is important to everyone, is it ethical to construct a graph that exaggerates the environmental benefits?  

No, it is not important that people buy LED light bulbs.

Yes, the environment is important to everyone.

Yes, it is important to make sure that people buy LED light bulbs.

No, results should be presented in a fair and objective manner.

Step-by-step explanation:  

It is not ethical at all to lie and exaggerate things, but to be objective and say things as they really are.

The answer is: No, the results must be presented in a fair and objective manner.

first you have to add the -4 to the -2 and you get 2. so 2x=2 then you divide 2 by 2x and get x=1

Answer:

Yes

Step-by-step explanation:

A circle can be circumscribed around the four vertices of a quadrilateral if and only if,

both pair of opposite angles inscribed in the quadrilateral are supplementary to each other. By supplementary to each other we mean that their sum is equal to 180°.

In this case we have opposite interior angles supplementary to each other hence we can circumscribe a circle around it. Such Quadrilateral are called cyclic quadrilateral.

Answer:

The answer is True

Step-by-step explanation:

I just got it correct.

Answer:

  see the attachment for a graph

Step-by-step explanation:

A graphing calculator is a useful tool for this.

___

The x- and y-intercepts are -2, so you can plot those points and draw the line through them.

Answer:

98

Step-by-step explanation:

Substitute the given values into the expression

u + xy

= 18 + (10 × 8 ) ← multiply before adding

= 18 + 80

= 98

Answer:

Step-by-step explanation:

(2x-1)²=x²+4²

4x²-4x+1=x²+16

3x²-4x-15=0

a=3   b=-4   c= -15

D=b²-4ac

=16-4*3*(-15)=196

x1=-b+√D/2a=4+14/6=3

x2=-b-√D/2a=4-14/6=-10/6=-5/3

Answer:

x = 3

Step-by-step explanation:

Using Pythagoras' theorem on the right triangle, then

(2x - 1)² = 4² + x² ← expand parenthesis on the left side and simplify

4x² - 4x + 1 = 16 + x² ( subtract 16 + x² from both sides )

3x² - 4x - 15 = 0 ← in standard form

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term

product = 3 × - 15 = - 45 and sum = - 4

The factors are - 9 and + 5

Use these factors to split the x- term

3x² - 9x + 5x - 15 = 0 ( factor the first/second and third/fourth terms )

3x(x - 3) + 5(x - 3) ← factor out (x - 3)

(x - 3)(3x + 5) = 0

Equate each factor to zero and solve for x

x - 3 = 0 ⇒ x = 3

3x + 5 = 0 ⇒ 3x = - 5 ⇒ x = - [tex]\frac{5}{3}[/tex]

However, x must be greater than zero

Hence x = 3 cm

Answer:

90°

Step-by-step explanation:

Arc a subtends and angle of 45° to the circumference of the circle

We know that;

An angle subtended by an arc to the center of a circle is twice the angle subtended by the same chord to the center of the circle.

Therefore, if arc a subtends and angle of 45° to the circumference of the circle then;

a will be = 45 × 2

              =  90°

Answer:

1100 in²

Step-by-step explanation:

Find the area of the boxes separately and add them

Answer:

Step-by-step explanation:

[tex]\text{The formula of an area of a circle:}\\\\A=\pi r^2\\\\r-\text{radius}\\\\\text{We have}\ A=4\pi x^2+12\pi x+9\pi=(4x^2+12x+9)\pi=(2^2x^2+2(2x)(3)+3^2)\pi\\\\=\bigg((2x)^2+2(2x)(3)+3^2\bigg)\pi\qquad\text{use}\ (a+b)^2=a^2+2ab+b^2\\\\=(2x+3)^2\pi\to r=2x+3[/tex]

Answer:

The answer is 15 m.

Step-by-step explanation:

Answer:

b = 15

Step-by-step explanation:

Using Pythagoras' theorem on the right triangle, that is

20² + b² = 25²

400 + b² = 625 ( subtract 400 from both sides )

b² = 225 ( take the square root of both sides )

b = [tex]\sqrt{225}[/tex] = 15

Answer:

C. 4%

Step-by-step explanation:

Answer:

8 boxes of pencils and 2 boxes of erasers

Step-by-step explanation:

2 times 4 equals 8, which is the part where she needs to buy 4 times as many pencils as erasers.

8 times 2 is 16 and 1 times 2 is 2 add both 16 and 2 together and you get 18 so she spends all $18

Answer:

6g

Step-by-step explanation:

add all G's

The equivalent expression of g + g + g + g + g + g is 6g

The expression is given as:

g + g + g + g + g + g

Factor out g

g + g + g + g + g + g = g(1 + 1 + 1 + 1 + 1 +1)

Evaluate the sum

g + g + g + g + g + g = g * 6

Evaluate the product

g + g + g + g + g + g = 6g

Hence, the equivalent expression of g + g + g + g + g + g is 6g

Read more about equivalent expressions at:

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The answer is: [tex]f(t)=-4t^{2}+t+3[/tex]

Since we are given a quadratic function, we need to write it using the standard form of quadratic function (parabola).

The given function is:

[tex]f(t)=3-2t.2t=+t[/tex]

The standard form of a parabola is:

[tex]f(t)=a^{2}+bx+c[/tex]

Where,

a is equal to the quadratic variable coefficient

b is equal to the linear variable coefficient

c is the constant number

So, writing the function in the standard form will be:

[tex]f(t)=3-2t*2t+t=3-4t^{2}+t=-4t^{2}+t+3[/tex]

[tex]f(t)=-4t^{2}+t+3[/tex]

Where,

[tex]a=-4\\b=1\\c=3[/tex]

Have a nice day!

Answer: [tex]\frac{7}{16}hour[/tex]

Step-by-step explanation:

You know that the total time was: 7/8 hour

You also know that they spent 1/2 of the time at the beach.

Therefore, to calculate the time  Zach and his dog spend at the beach (which you can call x) , you must multiply both fractions (7/8 and 1/2).

Then, you obtain the following result:

[tex]x=\frac{7}{8}hour*\frac{1}{2}\\\\x=\frac{7}{16}hour[/tex]

Zach and his dog spent 7/16 of an hour at the beach. This was calculated by multiplying the total walking time of 7/8 of an hour by 1/2, which represents the proportion of the total time spent at the beach.

The question is asking for the amount of time that Zach and his dog spent at the beach. We know that they spent 1/2 of their total walking time, which was 7/8 hour, at the beach. To find this, we simply need to multiply those two fractions together. Multiply the numerators (top numbers) together to get the numerator of the product, and multiply the denominators (bottom numbers) together to get the denominator of the product. 1 * 7 equals 7, and 2 * 8 equals 16, so the product is 7/16 of an hour. This is the amount of time they spent at the beach.

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Answer:64y

Step-by-step explanation:42+22 then just put the y at the end