the scale is 7 millimeters = 1 meter. what is the scale factor?

Answers

Answer 1

Answer:

1 meter =1,000 millimeters. So, the scale is:

7 mm:1,000 mm                      Divide both sides by 7

1 mm:142 6/7 mm - This is the scale that was used

Step-by-step explanation:


Related Questions

Pythagorean triples are super important to know. If the hypotenuse of a triangle is 15, what are its legs ( hint - use the three, four, five triple)

Answers

Answer:

9, 12

Step-by-step explanation:

Just multiply the 3,4,5 triple by 3 and u get 9, 12, 15

Which equation represents a circle with a center at (–3, –5) and a radius of 6 units?

Answers

Answer:

Step-by-step explanation:

The general equation of the circle is:

(x-h)²+(y-k)²=r²

(h, k)=(-3,-5)  are the coordinates of the center of the circle.

r=6  is the radius

The equation of the circle is:

(x+3)²+(y+5)² = 36

At Misu's Ice Cream Parlor, their famous 4-layer ice cream cake consists of four layers of ice
cream alternating with layers of cake. If there are 8 flavors of ice cream, and we count
different cakes based on the order of ice cream layers from top to bottom:
a) how many different cakes can be made if flavors can be repeated?

Answers

Answer:

4096 different cakes can be made if flavors can be repeated.

Step-by-step explanation:

Since at Misu's Ice Cream Parlor, their famous 4-layer ice cream cake consists of four layers of ice cream alternating with layers of cake, if there are 8 flavors of ice cream, and we count different cakes based on the order of ice cream Layers from top to bottom, to determine how many different cakes can be made if flavors can be repeated, the following calculation must be performed:

8 x 8 x 8 x 8 = X

64 x 64 = X

4.096 = X

Therefore, 4096 different cakes can be made if flavors can be repeated.

2. The cost of oranges varies directly with the total mass bought. 2 kg of oranges costs $4.50. Describe the relationship between cost and mass in words. You may want to calculate a unit rate first.​

Answers

Answer:

The relationship between the cost/mass is $2.25/kg.

Step-by-step explanation:

You first need to divide $4.50 / 2, to know what a single kilogram mass costs.

$4.50 / 2 = $2.25

Now that you have this unit rate $2.25, You can multiply/add it.

$4.50 + $2.25 is $6.75, + another $2.25 = $9.00, and so on.

Kayla wants to fence in a rectangular dog pen that is 30 ft by 40 ft How would you use wha
you know about geometry to help her ensure that she has truly built a rectangular pen?

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the dimension of the dog pen = 30 ft by 40 ft.

Using the knowledge of geometry, that know that a rectangle has been built, the area of the pen should be :

Area of rectangle = Length * width

Area = 40 * 30

Area = 1200 ft²

Perimeter of rectangle = 2(Length + width)

Perimeter = 2(40 + 30)

Perimeter = 2(70)

Perimeter = 140 feets

Hence, area of the pen should be 1200 ft² and its perimeter or fencing should measure 140 feets

Suppose, as a rough estimate, we say that there are 20 distinct geons used for object recognition; and each geon can come in 5 classifiable qualitative sizes (tiny, small, moderate, large, huge); and a pair of geons can be placed in 10 distinct qualitative relations (geon A on top of geon B; geon A to upper left of geon B; geon A to the left of geon B; and so forth).How many distinct two-geon objects do we have in the space described above?

Answers

Answer:

49500

Step-by-step explanation:

According to the Question,

Given That, Suppose, as a rough estimate, we say that there are 20 distinct geons used for object recognition, and each geon can come in 5 classifiable qualitative sizes (tiny, small, moderate, large, huge). and a pair of geons can be placed in 10 distinct qualitative relations.

We have, District geons = 20 , District Size = 5

So, The Number Of Ways A geon can be selected 20 x 5 = 100

Now, We choose 2 geons From 100 Geons and arrange them in 10 district relations.

So, The number of district two-geon object

= [tex]\left[\begin{array}{ccc}100\\2\end{array}\right] * 10[/tex]

= (100 × 99)/2 × 10

= 49.5×100×10   ⇒ 49500

What is the value of the following function when x = 0?
y
5
(x)
4
3
2
1
V 2
-54 -3
3
4
х
5

Answers

Answer:

y=-2 when x=0

Step-by-step explanation:

The value of the function f(x), When x = 0 is y = - 2.

What is a polynomial?

A polynomial is an algebraic expression.

A polynomial of degree n in variable x can be written as,

a₀xⁿ + a₁xⁿ⁻¹ + a₂xⁿ⁻² +...+ aₙ.

What is a graph?

The set of ordered pairings (x, y) where f(x) = y makes up the graph of a function.

These pairs are Cartesian coordinates of points in two-dimensional space and so constitute a subset of this plane in the general case when f(x) are real values.

From the graph of the function, it intersects the x-axis at two distinct places

so it is a polynomial of degree two.

Let the given function be f(x).

By observing the graph of the function f(x), When x = 0, f(x) = - 2.

Or y = - 2.

learn more about polynomials here :

https://brainly.com/question/11536910

#SPJ7

Suppose you pay $3.00 to roll a fair die with the understanding that you will get back $5 (and your wager) for rolling a 5 or a 2, nothing otherwise. What are your expected net winnings, to the nearest cent?

Answers

Since one dice has 6 numbers
You would have a 2/6 chance or 1/3
You paid $3 so if you rolled both number you would make $10. Then you would have to subtract the cost of $3 from that. So you could win $7. Not sure if you were using on one or 2 dice to roll. You would just count all the numbers on both dice 12. Then you would have a 4 in 12 chance. 4/12 or 1/3 chance.

does anyone know the answer to this question ​

Answers

$265.32

r = R/100
r = 4/100
r = 0.04 rate per year,
A = P(1 + r/n)nt
A = 1,000.00(1 + 0.04/1)(1)(6)
A = 1,000.00(1 + 0.04)(6)
A = $1,265.32
1,265.32-1,000=265.32

Consider the following hypothesis test. : : The following results are for two independent samples taken from two populations. Excel File: data10-03.xlsx Enter negative values as negative numbers. a. What is the value of the test statistic? (to 2 decimals) b. What is the -value? (to 4 decimals) c. With , what is your hypothesis testing conclusion? - Select your answer -

Answers

Answer:

[tex]z = -1.53[/tex] --- test statistic

[tex]p = 0.1260[/tex] --- p value

Conclusion: Fail to reject the null hypothesis.

Step-by-step explanation:

Given

[tex]n_1 = 80[/tex]     [tex]\bar x_1= 104[/tex]   [tex]\sigma_1 = 8.4[/tex]

[tex]n_2 = 70[/tex]    [tex]\bar x_2 = 106[/tex]    [tex]\sigma_2 = 7.6[/tex]

[tex]H_o: \mu_1 - \mu_2 = 0[/tex] --- Null hypothesis

[tex]H_a: \mu_1 - \mu_2 \ne 0[/tex] ---- Alternate hypothesis

[tex]\alpha = 0.05[/tex]

Solving (a): The test statistic

This is calculated as:

[tex]z = \frac{\bar x_1 - \bar x_2}{\sqrt{\frac{\sigma_1^2}{n_1} + \frac{\sigma_2^2}{n_2} }}[/tex]

So, we have:

[tex]z = \frac{104 - 106}{\sqrt{\frac{8.4^2}{80} + \frac{7.6^2}{70} }}[/tex]

[tex]z = \frac{104 - 106}{\sqrt{\frac{70.56}{80} + \frac{57.76}{70}}}[/tex]

[tex]z = \frac{-2}{\sqrt{0.8820 + 0.8251}}[/tex]

[tex]z = \frac{-2}{\sqrt{1.7071}}[/tex]

[tex]z = \frac{-2}{1.3066}[/tex]

[tex]z = -1.53[/tex]

Solving (b): The p value

This is calculated as:

[tex]p = 2 * P(Z < z)[/tex]

So, we have:

[tex]p = 2 * P(Z < -1.53)[/tex]

Look up the z probability in the z score table. So, the expression becomes

[tex]p = 2 * 0.0630[/tex]

[tex]p = 0.1260[/tex]

Solving (c): With [tex]\alpha = 0.05[/tex], what is the conclusion based on the p value

We have:

[tex]\alpha = 0.05[/tex]

In (b), we have:

[tex]p = 0.1260[/tex]

By comparison:

[tex]p > \alpha[/tex]

i.e.

[tex]0.1260 > 0.05[/tex]

So, we fail to reject the null hypothesis.

f(x) = 3x + 10
х
f(x)
-3
-2
-1
-4

Answers

The answer is 89 you missed a step

please help me find the area

Answers

Answer:

320 square feet.

Step-by-step explanation:

For the moment, let's put the square back in place. That would make the length 16 + 8 = 24 and the width 16.

L = 24

W = 16

Area = L * W

Area = 24 * 16

Area = 384

Now the next step is to take out the square. It is 8 * 8 = 64

The area of the figure = 384 - 64 = 320 square feet, and that's the answer.

Answer:

320 in^2

Step-by-step explanation:

we need to find the area of this figure

Firstly divide above picture in two parts

1st figure = (16*16)in.

2nd figure = (8*8)in.

Area of 1st figure = 16*16 = 256 in^2

Area of 2nd figure = 8*8 = 64 in^2

Area of whole figure = ( 256 + 64 )in^2

= 320 in^2

2(x+3)=x-4
please help me <3

Answers

2(x + 3) = x - 4

distribute

2x + 6 = x - 4

either subtract 6 from both sides or add 4. i will be subtracting 6.

2x = x - 10

subtract x from both sides

x = -10

I need help please anyone

Answers

Answer:

base: 3units

height: 5units

Area:15units square

Step-by-step explanation:

you can count the squares in the figure to know the base and hight.

Area of parallelogram= base x height= 3x5= 15 units square.

please give me brainliest, thanks!

Alex wants to arrange chairs in such a way that the number of chairs in a row is equal to the number of columns. He has ordered 5100 tables.
a)How many more tables needed to arrange in such a way that he planned? Justify your answer
2)How many chairs can he remove to arrange in a way that he wants? Justify your answer.

Answers

Answer:

84

59

Step-by-step explanation:

In other to have the same number of chayes in both rows and columns ;

If the Number of chairs per row = x ; then number of chairs per column = x

Then the total number of chairs needed = x * x = x²

Hence, if there are 5100 chairs ;

Number of chairs needed more ;

Take the square root of 5100 ;the round to the next whole number :

B.) For number of chairs to be removed ;

Take the square root of 5100 and round down to the whole number.

Hence,

A.) = √5100 = 71.414 = 72

72² - 5100 = 84

B.) 5100 = 71.414 = 71

5100 - 71² =

Help will give brailiest to first answer

Answers

question isn't loading

Step-by-step explanation:

Answer:

i think it is b but don't take my word

Step-by-step explanation:

i need help finding m<1 please :)

Answers

Answer

c,116°

Step-by-step explanation:

i don't know how to draw a diagram?

Join ends of chord with the center making angles ∠2,∠3 and angle at the center.

angle at the center=128°

∠1=∠2+90°

∠2=∠3

∠2+∠3+128=180

∠2+∠2+128=180

2∠2=180-128=52

∠2=52/2=26

∠1=26+90=116°

sorry i can't explain properly without picure.

what is the answer to this? i can’t figure it out.

Answers

9514 1404 393

Answer:

  25 +0i

Step-by-step explanation:

The conjugate of a complex number is that number with the sign of the imaginary part reversed.

For z = -3+4i, its conjugate z* is -3-4i. The product of z and z* is ...

  (-3 +4i)(-3 -4i) = -3(-3 -4i) +4i(-3 -4i)

  = 9 +12i -12i -16i² = 9 +16 = 25

The real part of the product is 25; the imaginary part is 0.

  (-3 +4i)(-3 -4i) = 25 +0i

_____

You may have noticed that (z)(z*) = |z|², the sum of the squares of the real and imaginary parts. It is always a non-negative real number.

for the function x^2+8x+7
evaluate f(4)

Answers

Answer:

I think you would have to plug in 4 as X so it would be 4^2 +8(4)+ 7

that would be 16+ 32 +7 and that would equal 55

A manufacturer knows that their items have a lengths that are skewed right, with a mean of 10 inches, and standard deviation of 1.6 inches. If 39 items are chosen at random, what is the probability that their mean length is greater than 10.5 inches

Answers

Solution :

Given :

Mean, μ = 10 inches

Standard deviation, σ = 1.6 inches

Sample size is n = 39

Therefore,

[tex]$\mu_{\overline x}=\mu = 10$[/tex]

[tex]$\sigma_{\overline x}=\frac{\sigma}{\sqrt n } = \frac{1.6}{\sqrt{39}}$[/tex]

               = 0.25

[tex]$P (\overline X > 10.5 ) = P\left( \frac{\overline X - \mu_{\overline x}}{\sigma_{\overline x}} > \frac{10.5 - 10}{0.25} \right)$[/tex]

                      = P( Z >2)

                       = 1 - P(Z < 2)

                       = 1 - 0.97225 (from standard normal table)

                       = 0.0277

                       

3. Two dice are rolled. What’s the conditional probability that both dice are 5’s if it’s known that the sum of points is divisible by 5?

Answers

Answer:

[tex]Pr =\frac{1}{3}[/tex]

Step-by-step explanation:

Given

[tex]S = \{(1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6)(2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6)[/tex]

[tex](3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6)(4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6)[/tex]

[tex](5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6)(6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)\}[/tex] --- sample space

First, list out all outcomes whose sum is divisible by 5

[tex]A = \{(4,6), (5,5),(6,4)\}[/tex]

So, we have:

[tex]n(A) = 3[/tex]

Next, list out all outcomes that has an outcome of 5 in both rolls

[tex]B = \{(5,5)\}[/tex]

[tex]n(B) =1[/tex]

The required conditional probability is:

[tex]Pr =\frac{n(B)}{n(A)}[/tex]

[tex]Pr =\frac{1}{3}[/tex]

Solve the following system. If the​ system's equations are dependent or if there is no​ solution, state this.
12a+35b= 19
24a+8c= 1
28b+8c= 5
A) There is one solution. The solution is (__,__,__)
B) The system is dependent
C) There is no solution

Answers

Answer:

the answer is c .no solution

The distance to the grocery store is
13.456 miles. Round this distance to
the nearest whole number,

Answers

Answer: 13 miles

Step-by-step explanation: If you're rounding to the nearest whole number your answer should not consist of a decimal. You are rounding based on your tens place because you're trying to find the nearest whole number. Your tenths place value is 0.4. In order to know if you're rounding up or down you have to rememeber anything between 0-4 you round down (keep the number the same). Anything 5-9 you're rounding up the next number.

What is the solution set for the quadratic inequality x2 – 5 ≤ 0?

Answers

Answer: -4...?

Step-by-step explanation:

solve for this square.

Answers

Answer:

a2

b4

c16 brainliest plzz

Answer:

a) SV = 2

The line that is SV actually is not the full slash. It is halfway, and we know that half of four would be two.

b) RT = 4

This time RT is a full line going all the way down. So it would be 4.

c) p = a + b + c

The lengths are all the same because we calculated in the first question that two is half of four. So the base, height, and hypotenuse are the same, 2.

2 + 2 + 2 = 6

So the perimeter of the triangle RVS is 6.

3
What is
4
of 100 km?
0,75-100

Answers

Answer:

75 km.

Step-by-step explanation:

Fractions of a number

To get the fraction of a number, we multiply that number by the given fraction.

For example two-thirds of 60 is 2/3 × 60 = 2 × 20 = 40 and one-fifth of 100 is 1/5 × 100 = 100/5 = 20

Now, we are supposed to find a fraction of 100 km. Assume its three-quarters.

So, three-quarters of 100 km is 3/4 × 100 km = 3 × 100 km/4 = 3 × 25 km = 75 km

So, three-quarters of 100 km is 75 km.

if sec theta = - √30 / 3, find cos theta.
if sin(-theta) = -0.97, find cos (π/2 - theta).

Answers

Step-by-step explanation:

[tex] \cos \theta = \frac{1}{ \sec\theta } = - \frac{3}{ \sqrt{30} } = - \frac{3 \sqrt{30} }{30} = - \frac{ \sqrt{30} }{10} [/tex]

[tex] \cos( \frac{\pi}{2} - \theta )= \cos \frac{\pi}{2} \cos \theta + \sin \frac{\pi}{2} \sin \theta [/tex]

Note that

[tex] \sin( - \theta) = - \sin \theta[/tex]

[tex] \cos \frac{\pi}{2} = 0 \: \: \: \: \: \sin \frac{\pi}{2} = 1[/tex]

Therefore,

[tex] \cos( \frac{\pi}{2} - \theta ) = 0.97[/tex]

When g(x) = 3x, what is g(5)?

Answers

Answer:

g(5) = 15

Explanation:

If the x in g(x) is 5 then the x beside 3 would also be 5.

g(5) = 3(5)

g(5) = 15

Hope this helps, good luck!

Answer:

g(5)= 15

Step-by-step explanation:

g(x) = 3x and in this situation x =5 (  g(5)  )

so substitute x for 5 in the original equation:

g(x) = 3x --> g(5) = 3(5)

which gives you 15. Hope this helps!

Can someone help me with this question please..

Answers

Answer:

The ordered pair would be (2,3)

2 in the first Box

3 in the second

6(x + 2) in the simplest form

Answers

Using the Distributive Property we can put this in its simplest form.

6(x+2)

(6)(x)+(6)(2)

6x+12

Answer:

6x + 12

Step-by-step explanation:

Use the distributive property to multiply the 6 to the x and 2 to get 6x + 12.

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