Use the order of operations to evaluate the numerical expression.

Answer:

Step-by-step explanation:

a) the thickness of one ream of paper :

= 0.1 × 500

= 50 mm

b) 12 cm = 12 × 10 = 120 mm

Then

the number of sheets that exist in a pile of papers that has a thickness of 12 cm :

= 120 ÷ 0.1

= 1 200 sheet of paper

Answer:

x=-2   x=-1

Step-by-step explanation:

2x^2 + 6x = -4​

Add 4 to each side

2x^2 + 6x +4= -4+4

2x^2 + 6x +4=0

Factor out 2

2( x^2 +3x+2) = 0

Divide by 2

x^2 +3x +2 =0

( x+2)(x+1) =0 ​​

Using the zero product property

x+2 =0  x+1 =0

x=-2   x=-1

Answer:

x = -1, -2

Step-by-step explanation:

Bring the constant term to the left hand side :

Divide throughout by 2 :

Splitting the middle term :

Factors obtained :

Finding the zeros :

Answer:

The are consecutive interior angles.

Answer:

its C

Step-by-step explanation:

I used something else for it for it

Answer:

y = -2x + 5

Step-by-step explanation:

Slope-intercept form: y = mx + b

The slope of the line, m, is -2 because the line shows a negative trend and moves right 1 unit every time a point moves down 2 units.

The y-intercept, b, is 5 because the line crosses that number once on the y-axis.

Answer:

28.6 cm

Step-by-step explanation:

Given radius of semicircle (r) = 9.1 cm

perimeter of a semicircle = πr

= 22/7 × 9

= 22 × 1.3

= 28.6

Answer:

x - 2y > 8 or x - 2y ≤ -6

Step-by-step explanation:

I used desmos

I hope this helps!!!

Answer:

[tex]f(2) = 6[/tex]

Step-by-step explanation:

Substitute x=2 into f(x) x times 3

[tex]f(2) = 2 \times 3[/tex]

Calculate it

[tex]f(2) = 6[/tex]

Answer:

3(4x+6)=24

Step-by-step explanation:

The distribute property is when you distribute the what is inside of the parentheses.

Answer:

an example would be -5(x+9)=-5

now distribute -5 to x and -5 to9

= -5x-45= -5

We need a maximum enlargement of n = 18 terms in order to guarantee this level of accuracy for Simpon's Rule.

The estimation of Simpson's rule follows an approach where the value of the definite integral [tex]\int\limits^a_b f{x} \, dx[/tex] is approximated by using a parabolic method of approximation for each subinterval of the interval [a, b].

The formula for calculating Simpon's rule can be expressed as:

[tex]\mathbf{\int ^b_a f(x) d \simeq \dfrac{\Delta x}{3}[y_o+4y_1+2y_2+4y_3+2y_4+...+4{y_{n-1} +y_n}}[/tex]

Given that:

[tex]\mathbf{\int ^1_0 7ex^2 dx }[/tex],

We need to determine the fourth derivative; i.e.

[tex]\mathbf{f'(x) = 14xe^{x^2}}[/tex]

[tex]\mathbf{f''(x) = 14ex^2 +28x^2e^{x^2} = (14+28x^2)e^{x^2}}[/tex]

[tex]\mathbf{f'''(x) = 56xe^{x^2} +2(14+28x^2)e^{x^2} = (84x+48x^3)e^{x^2}}[/tex]

[tex]\mathbf{f^{iv}(x) = (84+144x^2)e^{x^2} +2x(84x+48x^3)e^{x^2} = (84x+312x^2+96x^4)e^{x^2}}[/tex]

The maximum value of the 4th derivative on the interval [0,1] is:

[tex]\mathbf{f^{iv}(1) = 624e}[/tex] and the error is bounded by:

[tex]\mathbf{\Bigg| \dfrac{f^{iv}(1) (1-0)^5}{180n^4} \Bigg| = \dfrac{624e}{180n^4}=\dfrac{52e}{15n^4}}[/tex]

Now for the error to be less than 0.0001; we have:

[tex]\mathbf{\dfrac{52e}{15n^4} < 0.0001}[/tex]

[tex]\mathbf{52e < 0.0015n^4}[/tex]

[tex]\mathbf{n^4 > \dfrac{52e}{0.0015}}[/tex]

[tex]\mathbf{n > \sqrt[4]{ \dfrac{52e}{0.0015}}}[/tex]

n ≅ 17.52.

Therefore, we can conclude that we need a maximum of n = 18 terms in order to guarantee this level of accuracy for Simpon's Rule.

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Answer:

1.5 per minute

Step-by-step explanation:

unit rate is how many in 1 minute so 45 divided by 30 is 1.5 and if you want to check your answer do 1.5 x 30 which is 45

Step-by-step explanation:

there is a rectangle and an octagon within

area of rectangle = 8*9 = 72

there are 4 right angled triangles

area of one such triangle = .5 × 9 = 4.5

total area of triangles = 18

area of octagon = 72-18 = 54 m^2

Answer:

Multiplication

The solution of given equation x = -20

Step-by-step explanation:

step (i) :-

given equation = -(x/4) = 5

multiply '1' on both sides we get

[tex] = - (( - \frac{x}{4} )) = - 5[/tex]

[tex] = \frac{x}{4} = - 5[/tex]

step (ii) :-

multiply '4' on both sides we get

[tex] = \: \: \: \: \: \frac{x}{4} \: \: \times \: 4 \: \: = - 5 \times 4[/tex]

Cancellation '4' on left side we get

x = -20

conclusion:-

The solution of given equation x = -20

Table 3 will fit snugly in the corner of the room.

Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal to the square of the sum of the other two sides.

From the given data we will check the value of the diagonal by applying the Pythagorean theorem.

So by using the Pythagorean theorem:-

D ²  =    L²   +   W²

D²   =    ( 2.4 )²  +  ( 3.2 )²

D²   =    ( 5.76   +    10.24 )  =   16

D     =   √16   =  4  feet

Therefore table 3 will fit snugly in the corner of the room.

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Answer:

Table 3.

Step-by-step explanation:

Person above is correct, I'm takin the test!!

The true proportion of air traffic controllers in Canada with resting heart rates over 100 bpm is; 0.2717 or 27.17%

We are given;

Sample size; n = 173

Number of people who had  a resting heart rate over 100 bpm = 47

Now, formula for true proportion is;

p' = x/n

where;

x represents the number of successes

n represents the sample size.

p′ is the sample proportion which is the point estimate for the true population proportion.

Thus;

p' = 47/173

p' = 0.2717

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The range tells us the possible y-values that occur in the function.

When describing the range, we can write an inequality using y.

When describing the range of a quadratic function, we typically use the ≥ or ≤ symbols when writing the inequality.

To write the range of a quadratic function,

We're given:

Because we're directly given the vertex, we just have to determine now whether the parabola opens up or down.

The other points that fall on the graph that we're given all have a lower y-coordinate value than 4, that means this parabola opens down.

Therefore, all other y-values for the function will be less than 4.

Therefore, y ≤ 4.

y ≤ 4

The area covered by the napkin is 56 square centimeters

This is calculated using:

[tex]Area = \frac 12 ab\sin(C)[/tex]

Where:

a = 15, b = 5 and C = 30

So, we have:

[tex]Area = \frac 12 * 15 * 15 * \sin(30)[/tex]

Evaluate the product

Area = 56.25

Approximate

Area = 56

Hence, the area covered by the napkin is 56 square centimeters

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Answer: 56

Step-by-step explanation:

that’s c on 2023 edge

Answer:

[tex]\frac{8}{21}[/tex]

Step-by-step explanation:

let S be the sample space for this experiment.

card(S) = 10C4 = 210

Let E be the event “having 3 female and only one  male”

card(E) = 6C3 × 4C1 = 80

therefore

p(having 3 female and only one male escaped) is 80/210

[tex]\frac{80}{210} =\frac{8}{21}[/tex]

Answer: 84

Step-by-step explanation:

Answer:So I think the answer might be 88

Answer: 85 sqm

Step-by-step explanation: So 5 litres of Retail paint will cover 65sqm- one coat, and 5 litres of Trade paint will cover 85 sqm- one coat.

Answer:

if you want to, I can explain it to you in more details

Answer:

There is no answer as there is no question.

Step-by-step explanation:

Answer:

I added the answer to your newest problem :D

Step-by-step explanation:

Hope it helped!

Answer:

8.50

Step-by-step explanation:

it’s 8.50 this is because if you need to round it to the nearest tenth, you just think is 9 closer to 10? Yes and so you make 48 into 8.50

Answer:

Given that the probability of winning is = 0.05

So the probability of losing is = 1 - 0.05 = 0.95.

We are told we have a 1 in 20 chance

Success: 0.05

Failure: 0.95

P(X=4)= 0.95*0.95*0.95*0.05

So the chance is 0.04286 or Option D

Answer:

5 : 1

Step-by-step explanation:

Unit conversion (between cm and mm) : 1 cm = 10 mm

⇒ 4 cm : 8 mm

⇒ 4 x 10 mm : 8 mm

⇒ 40 mm : 8 mm

⇒ 5 : 1

Answer:

ok but question should be more clear though this is hard to understand

Answer:

0, 1-9, 20

Step-by-step explanation:

Pre-calc 2021

Answer:

what is tge problem its to blurry

Answer:

D' : (2, 1)

E' : (2, 3)

A' : (5, 3)

Step-by-step explanation:

Answer:

D' = (2, -3)

E' = (2, -1)

A' = (5, -3)

Step-by-step explanation:

Coordinates are :

The transformation rule is :

Point D'

Point E'

Point A'

Answer: m ≥ 1,379

Step-by-step explanation:

$26 monthly fee

$0.06/minute of use

$108.74 (least charged in a month)

m = number of minutes

26 + 0.06m ≥ 108.74

0.06m ≥ 108.74 - 26

0.06m ≥ 82.74

[tex]\frac{0.06m}{0.06}[/tex]  ≥  [tex]\frac{82.74}{0.06}[/tex]

m ≥ 1,379