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Answer:

perimeter=4×length

so 72= 4l

divide through by 4

length=18

Answer:

Step-by-step explanation:

Perimeter

Area

From the perimeter

Substituting in the area formula

The greater value of the two will be the length, and lesser value will be the width.

Dimensions are : 24 inches x 12 inches

Answer:

[tex]x=4y^2-24y+30[/tex]

[tex](x-4.5)^2+(y-2.5)^2=23[/tex]

Step-by-step explanation:

Standard form of a sideways parabola:  [tex]x=ay^2+by+c[/tex]

Given equation:

[tex]4y^2-x-24y+30=0[/tex]

Add x to both sides:

[tex]4y^2-24y+30=x[/tex]

[tex]\implies x=4y^2-24y+30[/tex]

--------------------------------------------------------------------------------------------

Standard form of circle equation

[tex](x-a)^2+(y-b)^2=r^2[/tex]

(where (a,b) is the center and r is the radius)

Given equation:

[tex]2x^2+2y^2-18x-10y+7=0[/tex]

Group like terms:

[tex]2x^2-18x+2y^2-10y+7=0[/tex]

Divide by 2:

[tex]x^2-9x+y^2-5y+3.5=0[/tex]

Factor by completing the square for each variable:

[tex](x-4.5)^2-20.25+(y-2.5)^2-6.25+3.5=0[/tex]

Rearrange into standard form:

[tex](x-4.5)^2+(y-2.5)^2=23[/tex]

Therefore, the circle has a center at (4.5, 2.5) and a radius of √23

The field of view for an owl is about 110 degrees, with about 70 degrees being binocular vision. By comparison, humans have a field of view that covers 180 degrees, with 140 degrees being binocular. A woodcock has an amazing 360 degree field of view, because its eyes are on the side of its head.

Answer:

Option A, [tex]x =[/tex] ± [tex]7.75[/tex]

Step-by-step explanation:

Step 1:  Add 60 to both sides

[tex]x^2 - 60 = 0[/tex]

[tex]x^2 - 60 + 60 = 0 + 60[/tex]

[tex]x^2 = 60[/tex]

Step 2:  Square root both sides

[tex]\sqrt{x^2} = \sqrt{60}[/tex]

[tex]x =[/tex] ± [tex]7.75[/tex]

Answer:  Option A, [tex]x =[/tex] ± [tex]7.75[/tex]

Answer:

market

Step-by-step explanation:

Market

1 dozen bagels = 12 bagels

⇒ Cost per bagel = $7.00 ÷ 12 = $0.58 (nearest cent)

Bagel shop

Cost per bagel = $0.60

As  $0.58 < $0.60 the market is a better buy

Multiply assets by ratio

200,000 x 0.29 = $58,000

answer: c. $58,000

Answer:

79500.00

Step-by-step explanation:

75000(1 + .06) = 79500

Answer:

121/16

Step-by-step explanation:

The missing coordinates on the line after plotting the points are k(11, 0), L(0, 11) and M(40, 40).

The points can be plotted on coordinate planes as shown below in the graph uploaded.

The missing coordinates are determined as follows;

Thus, the missing coordinates on the line after plotting the points are k(11, 0), L(0, 11) and M(40, 40).

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Answer:

1.5x - 32

Step-by-step explanation:

friday = x

0.5x = monday

and

x-32 = friday

in total

1.5x-32

A ratio shows us the number of times a number contains another number. The cost of cheese that is needed to make 6000g of potato cake is £12.86.

A ratio shows us the number of times a number contains another number.

Given that the ratio of the ingredients is,

weight of potato: weight of cheese: weight of onion = 9: 2:1

Let the ingredients be mixed in the quantity 9x, 2x, and 1x, for 6000g of potato cake. Therefore, the value of x can be written as,

[tex]9x+2x+1x = 6000\\\\12x = 6000\\\\x = 500[/tex]

Hence, the value of x is 500.

Thus, the amount of cheese that will be needed is 2x,

[tex]2x = 2 \times (500) = 1000g[/tex]

Given that the cost of 175g of cheese is  £2.25, therefore, the cost of 1g of cheese will be,

[tex]\text{Cost of 1g cheese} = \£\dfrac{ 2.25}{175}[/tex]

Now, the cost of 1000g of cheese will be,

[tex]\text{Cost of 1000g cheese} = 1000\times \£\dfrac{ 2.25}{175} = \£12.86[/tex]

Hence, the cost of cheese that is needed to make 6000g of potato cake is £12.86.

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Answer:

7

Step-by-step explanation:

first you input the -1 into all the spots where the xs are so the new equation would be f(-1)=4(-1)(-1) +5(-1)+8

then when you simplify its 4-5+8

which is equal to 7

Answer:

Second option

Step-by-step explanation:

convert  [tex]1\frac{1}{2}[/tex]  to improper fraction:

[tex]1\frac{1}{2} =\frac{2(1)+1}{2} =\frac{3}{2}[/tex]

The second opcion:

[tex]V = (2)(2)(\frac{3}{2} )=\frac{12}{2} =6[/tex]

Hope this helps

The distance between their house and the school from the information given will be 777.60 meters.

The distance between their house and the school will be:

= 80 × 81 × 12

= 77760cm

= 777.60 meters.

When Diane takes 16 min to walk to school, the length of her steps will be:

= 77760/(16 × 90)

= 54 cm

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The number of apples there are in the basket as described in the task content is; 20 apples.

Inference drawn from the task content show that;

On this note, we must identify a number divisible by 9 between 30 and 40.

The number is 36 and once divided by 9 is 4 units per partition.

On this note, the total number of apples in the basket is; 4 × 5 = 20 apples.

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Answer:

i don't know do you play any games

The question is an illustration of the laws of cosine, the length of the third side is 6.7 units

The measure of the third side is calculated using the following law of cosine

a^2 = b^2 + c^2 - 2bc * cos(A)

So, we have:

a^2 = 8^2 + 11^2 - 2 * 8 * 11 * cos(37)

Evaluate the expression

a^2 = 44.44

Take the square root of both sides

a = 6.7

Hence, the length of the third side is 6.7 units

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1 ) Multiply the largest number (10) by 1.

Can the smallest (4) go into this number evenly?

10 x 1 = 10

10/4 = 2.5  ❌

2 ) Now multiply the largest number by 2.

Can the smallest go into this number evenly?

10 x 2 = 20

20/4 = 5 ✅

The LCD is 20

Answer:

50%

Step-by-step explanation:

31/62 of the train seats are empty,meaning there is 50%

To find the density:

 ⇒ must find the relationship between the density, mass, and volume

    ⇒ [tex]Density = \frac{mass}{volume}[/tex]

Let's examine the information given:

Let's first find the volume:

   ⇒ the volume is the dimensions multiplied together

      [tex]Volume = 8cm * 5cm * 5cm = 200cm^3[/tex]

LEt's calculate the density now:

  [tex]Density = \frac{1890g}{200cm^3} =9.45g/cm^3[/tex]

Answer: The density of the copper is 9.45g/cm^3 or Choice (A)

Hope that helps!

The value of the missing variable x in the diagram is; 4

In mathematics, two triangles are said to be similar provided that they have the same ratio of corresponding sides and equal pair of corresponding angles.

Now, from the given image, we can see that DE bisects AC into 2 equal parts and by virtue of the concept of similar triangles, we can say that;

DE/BC = 1/2

We are given;

DE = x + 1

BC = 4x - 6

Thus;

(x + 1)/(4x - 6) = 1/2

Cross multiply to get;

2x + 2 = 4x - 6

4x - 2x = 6 + 2

2x = 8

x = 4

That value of x is the missing value required in conclusion.

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Answer:

112.5ft^2

Step-by-step explanation:

10 x 9 = 90

9 × 5 × .5 = 22.5

90 + 22.5 = 112.5

Answer:

0.75.

Step-by-step explanation:

1) the required vertical distance is the distance between two vertexes.

2) according to the item 1, the coordinates of the vertexes are:

(y=x²+1): x₀=0; y₀=1;

(y=x-x²): x₀=0.5; y₀=0.25;

3) according to the item 2, the distance between 1 and 0.25 is 0.75.

Answer:

[tex]5 {6y6494y5y5yx \sqrt[454x54 {149 { \\ \\ }^{ \\ } }^{2} ]{?} }^{?} [/tex]

Answer:

  N(t) = -192t² +240t +48

Step-by-step explanation:

The composition of functions will be created by using the height function as the argument of the units conversion function.

__

  N(f) = N(h(t)) = 12(-16t² +20t +4) . . . replace f with h(t)

  N(t) = -192t² +240t +48 . . . . . simplify

Answer:

29

Step-by-step explanation:

Perimeter of a triangle is the total of sides a+b+c
11+5+13=29

Answer:

(34.15, 47.85)

Step-by-step explanation:

[tex]n = (\frac{z*stddev}{ME} )^{2}[/tex]

stddev = 11.9

z = invNorm(

area = (1 + confidence interval)/2

mean = 0

stddev = 1

)

= invNorm(

0.995

0

1

)

≈ 2.576

n = 20

square root both sides

[tex]\sqrt{20} = 2.576 * 11.9 / ME[/tex]

multiply both sides by ME, divide both sides by √20 to isolate ME
ME = 2.576 * 11.9/√20

≈ 6.85

interval = mean ± ME
= (41-6.85, 41+6.85)

= (34.15, 47.85)