Jane is drawing a plan of her house. Her scale is 4 cm to 5 m. The hall is
10.5 m long. How long is the hall on her plan?
cm

C = 2 x pi x r = pi x d

so

C = 3,14 x 26 = 81,64 mm

Answer:

Below in bold.

Step-by-step explanation:

y = -4x2 + 8x - 13

Divide first 2 terms by -4:-

y = -4(x^2 - 2x) - 13

Convert to vertex form by completing the square:

y = -4[(x - 1)^2 - 1] - 13

y = -4(x - 1)^2 + 4 - 13

y = -4(x - 1)^2 - 9     <---------- Vertex form

y =  a(x -  j)^2 + k       <---------- General form with vertex = (j, k).

So comparing, we see that the vertex is   (1, -9).

shifted left 3 units

Graphed Below:

The price of the pen and the erasers Raphael and his friend bought are GHC 3 and GHC 1 respectively.

let

x = price of pen

y = price of erasers

The equation

8x + 9y = 33

5x + 6y = 21

48x + 54y = 198

45x + 54y = 189

48x - 45x = 198 - 189

3x = 9

x = 9/3

x = 3

substitute into (1)

8x + 9y = 33

8(3) + 9y = 33

24 + 9y = 33

9y = 33 - 24

9y = 9

y = 9/9

y = 1

How to solve simultaneous equation:

https://brainly.com/question/16863577

Answer:

30 feet

Step-by-step explanation:

Area of a triangle = bh/2

A = bh/2

240 = b(16)/2

480 = (16)b

30 = b

Base = 30 feet

I hope this helps!

Answer:

30 ft

Step-by-step explanation:

Formula to find the area of a triangle is :

Area = [tex]\frac{1}{2}[/tex] × base × height

Given that,

Area of the triangle = 240 ft²

Height = 16 ft

Base = ??

Let us find now.

Area = [tex]\frac{1}{2}[/tex] × base × height

240  =  = [tex]\frac{1}{2}[/tex] × b × 16

240 × 2 = 16b

480 = 16b

Divide both sides by 16.

30 ft ⇒ base

Answer:

2 months

Step-by-step explanation:

55+30x=25+45x

55-25=45x-30x

30=15x

x=2

Answer:

17.1

Step-by-step explanation

a^2+b^2=c^2

2^2 + 17^2 = c^2

4 + 289 = c^2

293 = c^2

square root of 293 or 17.1

The impact of a paleolithic diet on cardiovascular markers in patients with diabetes is that it increases the concentration of certain fats in the blood.

It should be noted that diabetes simply means a condition when the blood glucose is too high.

In this case, the impact of a paleolithic diet on cardiovascular markers in patients with diabetes is that it increases the concentration of certain fats in the blood. It's simply a risk factor for heart diseases.

Learn more about diabetes on:

https://brainly.com/question/504794

12.8mm

[tex]0.1\times2^7\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \left\{2^7\right.=2\times2\times2\times2\times2\times2\times2\\ =0.1\times128\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ =\left.\ 128\right\}\\ =12.8mm[/tex]

I hope this helps you

:)

Answer:

DVD: $16

CD: $11

Step-by-step explanation:

These two linear equations can represent the system of equations where x equals the cost of a DVD and y equals the cost of a CD:

3x+4y=92

2x+3y=65

When graphed, the solution is at (16,11).

Therefore, one DVD costs $16 and one CD costs $11.

Answer:

He bought 7 erasers take 10 dollars and keep adding 2

Answer:

70

Step-by-step explanation:

Circumference = pi × diameter

219.8 = pi × diameter

219.8/pi = diameter

Diameter = 69.96....

= 70yd

Answer:

1

Step-by-step explanation:

when x is 1 g(1) is 0

so

(f(g(1)) is f(0)

f(0) is 3√0 + 1 which is

1

sorry it looks like its not one of the answer choices

https://brainly.com/question/19425686

The composition of functions f ( g ( 1 ) ) = 1

Evaluation of a function at the value of another function is known as Composition of function. A function composition is a process in which two functions, f and g, form a new function, h, in such a way that h(x) = g(f(x)). This signifies that function g is being applied to the function x. So, in essence, a function is applied to the output of another function.

Given data ,

Let the first function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = 3√x + 1

Let the second function be represented as g ( x )

Now , the value of g ( x ) is

g ( 1 ) = 0

g ( 2 ) = 1

g ( 3 ) = 4

g ( 4 ) = 9

Now , the composition of function is given by f ( g ( 1 )

The value of g ( 1 ) = 0

And , f ( x ) = 3√x + 1

when x = 0

So , the value of f ( 0 ) = 3√0 + 1

The function is f ( 0 ) = 1

Hence , the value of the function f ( g ( 1 ) = 1

To learn more about composition of functions click :

https://brainly.com/question/17673639

#SPJ7

Answer:

The answer to this question is 0.6

Step-by-step explanation:

mTQR = 87°

HOPE IT HELPS...!!!

Answer:

[tex] \sf m \angle TQR = 87 \degree[/tex]

Step-by-step explanation:

Given:

∆QRT, ∆RSQ and ∆ QST are scalene traingle.

[tex]m \angle QRS = 37 \degree \\ m \angle TQS = 34 \degree \\ m \angle QST = 90 \degree[/tex]

To find:

[tex]m \angle TQR = ?[/tex]

Solution:

In ∆ QTS,

[tex] \sf \: m \angle TQS + m \angle QTS +m \angle QST = 180 \degree \: \\ \sf (properties \: of \: triangle)[/tex]

[tex] \sf \: 34 + m \angle QTS +90 = 180 \degree \: \\ \sf m \angle QTS = 180 - 90 - 34 \\ \sf \: m \angle QTS = 180 - 124 \\ \sf \: m \angle QTS = 56 \degree[/tex]

Now in ∆QTR,

[tex] \sf \: m \angle QTR + m \angle TQR + m \angle TRQ \: = 180 \degree \\ \sf (properties \: of \: triangle)[/tex]

[tex] \sf \: 56 + m \angle TQR + 37 \: = 180 \degree \\ \sf m \angle TQR = 180 - 56 - 37 \\ \sf m \angle TQR = 87 \degree[/tex]

Thanks for joining brainly community!

Answer:

1: statistical

2: not statistical

3: statistical

Step-by-step explanation:

The first and third statements can be answered by many people.

How many sisters do you have?

- Not statistical

How many inches are in 2 feet?

- Not statistical

How many pets do you have?

- Not statistical

Statistical data are numerical or categorical information that has been collected through a systematic process and analyzed using statistical methods.

These data can be used to describe, summarize, compare, and draw conclusions about a population or a sample.

We have,

How many sisters do you have?

- Not statistical

How many inches are in 2 feet?

- Not statistical

How many pets do you have?

- Not statistical

None of these questions involve collecting, analyzing, or interpreting data, which are key characteristics of statistical questions.

They are simply asking for a count or a conversion of units, and do not involve any variability or uncertainty.

Thus,

All the given questions are not statistical.

Learn more about statistical data here:

https://brainly.com/question/11969248

#SPJ3

Using the binomial distribution, it is found that there is a:

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

In this problem, we have that:

The probability that exactly 2 out of 8 randomly selected ­Americans own a cat is P(X = 2), hence:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{8,2}.(0.3)^{2}.(0.7)^{6} = 0.2965[/tex]

0.2965 = 29.65% probability that exactly 2 out of 8 randomly selected ­Americans own a cat.

The probability that more than 3 own a cat is given by:

[tex]P(X > 3) = 1 - P(X \leq 2)[/tex]

In which:

[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]

Hence:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{8,0}.(0.3)^{0}.(0.7)^{8} = 0.0576[/tex]

[tex]P(X = 1) = C_{8,1}.(0.3)^{1}.(0.7)^{7} = 0.1977[/tex]

[tex]P(X = 2) = C_{8,2}.(0.3)^{2}.(0.7)^{6} = 0.2965[/tex]

Then:

[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0576 + 0.1977 + 0.2965 = 0.5518[/tex]

[tex]P(X > 3) = 1 - P(X \leq 2) = 1 - 0.5518 = 0.4482[/tex]

0.4482 = 44.82% probability that more than 3 own a cat.

More can be learned about the binomial distribution at https://brainly.com/question/24863377

Answer:

I will help you.

but first what is the problem

give brainliest

Answer:

Help you with what??

whats the question????

Answer:

From what i've researched, your answer might be "5 miles apart." or possilby "25.7 miles apart."

Step-by-step explanation

Im sorry if none of these answers are correct.

Answer: B

Step-by-step explanation: The first X was 1. If you add 1 too the 1/2 in the equation, its 1 & 1/2. theres only one graph that has 1 & 1/2, and its B

The number of friendship bracelets Gabrielle can make is 20 bracelet

1 feet = 12 inches

12 feet = 144 inches

Number of colors of floss = 6

Quantity of each floss = 12 feet = 144 inches

Total quantity of floss = 6 × 144

= 864 inches

Quantity of each floss used for bracelet = 7 1/5 inches

Total floss used for each bracelet = 6 × 7 1/5

= 6 × 7.2

= 43.2 inches

Number of bracelet Gabrielle can make = Total quantity of floss ÷ Total floss used for each bracelet

= 864 ÷ 43.2

= 20 bracelet

Learn more about conversion of feet to inches:

https://brainly.com/question/384660

Answer:

Step-by-step explanation:

8 pounds of flour = 5 dollars

1 pound of flour = x

Cross multiply

8x = 1*5              Divide by 8

8x/8 = 5/8

5/8 = 0.625

Therefore x = 0.625 dollars will buy 1 pound of flour.

Rounded x = 0.63

Answer:

Below in bold.

Step-by-step explanation:

g(x) = x^2 – 8x + 12

Convert to vertex form:

g(x) = (x - 4)^2 - 16 + 12

g(x) = (x - 4)^2 - 4.

So the vertex is at (4, -4).

y-intercept (when x = 0) is ((0-4)^2 - 4 = 16 - 4

- that is (0, 12).

Zeros:

(x - 4)^2 - 4 = 0

(x - 4)^2 = 4

x - 4 = +/- 2

x = 2 + 4 = 6 or x = -2 + 4 = 2.

= 2, 6.

It can be inferred that the amount of nuts that Allen requires depends on the amount of the recipe that he wants to make.

According to the information provided, one serving of the recipe calls for one cup of nuts. According to this, it can be inferred that to make a smaller or larger portion of the recipe, this amount must be divided or multiplied.

For example, if Allen calls for making two servings of the recipe, he would use two cups of nuts, while if he calls for making a half serving, he would use half a cup of nuts.

Note: The question is missing because there is some missing information. However I can answer it based on my general prior knowledge.

Learn more about recipes in: https://brainly.com/question/1320828

Answer:

1/6

Step-by-step explanation:

Answer:

  (32×15)/(17 -9)

Step-by-step explanation:

The term "quotient" refers to the result of division. The term "product" refers to the result of multiplication. The term "difference" refers to the result of subtraction.

__

Here, we want the quotient of a product and a difference. This means the product will be divided by the difference. The product is the product of 32 and 15, so its value is (32×15). The difference is the difference of 17 and 9, so its value is (17 -9).

Then the desired numerical expression is ...

  [tex]\boxed{\dfrac{32\times15}{17-9}}[/tex]

______

Additional comment

The result of evaluating this expression is ...

  (32×15)/(17 -9) = 480/8 = 60

__

For quotients and differences, the order of the operands matters. Our convention is that "the quotient of A and B" means "A/B", and "the difference of A and B" means "A-B".

In general English usage (not specific to a formal math problem), the term "difference" often is used to mean "the positive difference." That is, the wording "the difference between 3 and 4" would generally refer to the value 1 (not -1).

Answer:

10.35

Step-by-step explanation:

69/3 = 23

45% of 23 = 10.35

The total surface area is 2w² + 8/w, while the total cost is $(20w² + 160/w)

Volume is the amount of space occupied by a three dimensional shape or object.

Let w represent the width of the base and h represent the height. Hence:

w²h = 2

h = 2/w²

The surface area = 2w² + 4(hw) = 2w² + 4(2/w² * w) = 2w² + 8/w

The total cost = 2w² * $10 + (8/w) * $20 = $(20w² + 160/w)

The total surface area is 2w² + 8/w, while the total cost is $(20w² + 160/w)

Find out more on volume at: https://brainly.com/question/12410983