Calculate the volume of a cylinder with height 14cm and diameter 10cm. Give your answer rounded to 3 SF.

Answer:

People with depression may have uncommonly sticky platelets, the tiny cells that cause blood to clot. In patients with heart disease, this can accelerate atherosclerosis (hardening of the arteries) and increase the chance of heart attack. Some studies show that treating depression make platelets less sticky again.

Answer:

People with depression may have uncommonly sticky platelets and tiny cells that cause blood to clot.

Patients with heart disease can accelerate atherosclerosis (hardening of the arteries) and increase the chance of heart attack.

For people with heart disease, depression can increase the risk of an adverse cardiac event such as a heart attack or blood clots.

Answer: A. (4,6)

Step-by-step explanation: 2(6y−4x = 20)                                                   3(−4y+3x = −12)                                                                                                     −8x+12y = 40                                                                                                     9x−12y = −36                                                                                                   -8x+9x                                                                                                                 +12y-12y                                                                                                               40-36                                                                                                                     x=4                                                                                                                   6y−4x = 20                                                                                                       6y−(4)(4) = 20                                                                                                   6y−16+16 = 20+16                                                                                                 6y/6 = 36/6                                                                                                           y = 6                                                                                                                       x = 4, and y = 6.

The solution for the given system of equations is (4, 6). Therefore, option A is correct answer.

The given system of equations are 6y-4x=20 and -4y+3x=-12.

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

Here,

6y-4x=20 ----------(I) and -4y+3x=-12 ----------(II)

Multiply equation (I) by 3, we get

-12x+18y=60 ----------(III)

Multiply equation (II) by 4, we get

12x-16y=-48 ----------(IV)

Add equation (III) and (IV), that is

-12x+18y+(12x-16y)=60-48

⇒ 2y=12

⇒ y=6

So, 6y-4x=20

⇒ 36-4x=20

⇒ -4x=-16

⇒ x=4

The solution for the given system of equations is (4, 6). Therefore, option A is correct answer.

To learn more about the linear system of an equations visit:

https://brainly.com/question/27664510.

#SPJ2

Answer:

Step-by-step explanation:

im not a genius at math, but i will give it a shot

scenario 3:

let m= cost per minute for WDE, let b= flat fee for WDE

42.5=50m+b

65=100m+b

subtract the two equations

65-42.5=50m

m= .45 (this is the cost per minute on WDE wireless)

plug in m=.45 into the first equation

42.5=50(.45)+b

b= 20 (this is the fixed monthly fee for WDE wireless)

HTR offers .25 per minute, whereas WDE offers .45 a minute which means that HTR has the cheaper per minute rate

htr has the equation .25x+30

WDE has the equation .45x+30

set them equal to each other and solve for x .25x+30=.45x+20

x= 50 minutes

Scenario 4:

Same deal as last question, let m=cost/movie, b=flat fee

41.25=5m+b

57.5=10m+b

subtract the two equations and solve for m

57.5-41.25=10m-5m+b-b

m= 3.25 (slope)

b=25  (y intercept)

y=3.25x+25

y=3.25(125)+25  = 431.25

3.25x+25=2.75x+35

.5x= 10

x= 20

Answer:

y = - [tex]\frac{7}{4}[/tex]

Step-by-step explanation:

[tex]\frac{y}{-7}[/tex] = [tex]\frac{1}{4}[/tex] ( cross- multiply )

4y = - 7 ( divide both sides by 4 )

y = - [tex]\frac{7}{4}[/tex]

Answer:

Step 1 : First, solve one linear equation for y in terms of x .

Step 2 : Then substitute that expression for y in the other linear equation. ...

Step 3 : Solve this, and you have the x -coordinate of the intersection.

Step 4 : Then plug in x to either equation to find the corresponding y -coordinate.

Step-by-step explanation:

Answer:84

Step-by-step explanation:

hope this helps :))

Answer:

a x 10b or 2.02 x 10³

Step-by-step explanation:

Have a great day!

Answer:

1. 2/9

2. 1/3

3. 112

Step-by-step explanation:

Answer:

I believe it should be 3 23

Answer:

  2.5

Step-by-step explanation:

The rate of change can be found from the slope formula.

  m = (y2 -y1)/(x2 -x1)

Using the first two lines of the table, we find ...

  m = (23 -18)/(-3 -(-5)) = 5/2

The rate of change of the function is 5/2 = 2.5.

Answer:

8.795 is exactly half way between them

Step-by-step explanation:

That is the difference between them

Answer:

1 : 200000

Step-by-step explanation:

4 cm ⇒ 8 km

4 cm ⇒ 8 × 1000m

4cm ⇒ 8000m

4 cm ⇒ 8000 × 100 cm

4 cm ⇒ 800000cm

4 : 800000

[tex]\frac{ 4 \:\::\:\ 800000}{4}[/tex]

1 : 200000

Therefore,

1 : n

1 : 200000

Hope this helps you.

Let me know if you have any other questions :-)

Answer:

2

Step-by-step explanation:

Answer:

[tex] \: \: \: \: \: \: \: [/tex]

the answer is 78

Step-by-step explanation:

10×7+9x-1=78

Answer: The answer is -1

Step-by-step explanation:

Answer:

96

Step-by-step explanation:

Answer:

96

hope this helps you!!

Hello there! :)

The highest common factor of 9, 12, and 15 is 3.

To find the HCF (also called the GCF) of two or more numbers, we list their factors:

9: 1, 3, 9

12: 1, 2, 3, 4, 6, 12

15: 1, 3, 5, 15

Can you see that 3 is their GCF?

Hope this helps!

~Just a determined gal

#CarryOnLearning

[tex]MysteriousNature[/tex]

Answer:

1). Simplify the expression.

Exact Form:

( [tex]\frac{37}{25}[/tex] )

Decimal Form:

1.48

Mixed Number Form:

( [tex]1\frac{12}{25}[/tex] )

2). Simplify the expression.

91.46

3). Simplify the expression.

Exact Form:

[tex]\frac{17}{24}[/tex]

Decimal Form:

0.7083  ( bar notation)

4). Simplify the expression.

81.49

Answer:

2401

Step-by-step explanation:

two thousand four hundred and one

Step-by-step explanation:

First let's put your equation

[tex]7 {}^{4} [/tex]

This also be phrased as

[tex]7 \times 7 \times 7 \times 7[/tex]

Now let's start solving

[tex]49 \times 7 \times 7 [/tex]

Multiply again and we get

[tex]343 \times 7[/tex]

and finally when we multiply again

[tex]2401[/tex]

According to the discrete distribution given:

1) There is a 0.18 = 18% probability that on a randomly selected day there were no accidents.

2) There is a 0.7 = 70% probability that there will be at least 2 accidents.

3) On any given day, the Wilmington police should expect to have 2.03 accidents.

The distribution is:

[tex]P(X = 0) = x[/tex]

[tex]P(X = 1) = 0.12[/tex]

[tex]P(X = 2) = 0.32[/tex]

[tex]P(X = 3) = 0.25[/tex]

[tex]P(X = 4) = 0.13[/tex]

Item 1:

The sum of the probabilities has to be 100% = 1, hence:

[tex]x + 0.12 + 0.32 + 0.25 + 0.13 = 1[/tex]

[tex]x + 0.82 = 1[/tex]

[tex]x = 0.18[/tex]

0.18 = 18% probability that on a randomly selected day there were no accidents.

Item 2:

This probability is:

[tex]P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4) = 0.32 + 0.25 + 0.13 = 0.7[/tex]

0.7 = 70% probability that there will be at least 2 accidents.

Item 3:

The expected value is the sum of each outcome multiplied by it's respective probability, hence:

[tex]E(X) = 0.18(0) + 0.12(1) + 0.32(2) + 0.25(3) + 0.13(4) = 2.03[/tex]

On any given day, the Wilmington police should expect to have 2.03 accidents.

A similar problem is given at https://brainly.com/question/25653146

Answer:

Step-by-step explanation:

16.9305475504

Answer: total is 200

Step-by-step explanation:

30% = 60

10% = 60/3 = 20

100% = 200

Answer:

$7.14

Step-by-step explanation:

$47.64 to $47.6

47.6*15/100

=$7.14

(I maybe wrong though lol)

Step-by-step explanation:

you understand coordinates and how to find them in the chart, yes ?

because I can't draw here, I can only give you the points through which the line has to go.

one point is, of course, (2, -3).

to find another good point we use the slope 3/4.

the slope is the ratio of y change/x change when going from one point to another.

so, we find another point with integer coordinates by e.g subtracting the slope units from the point (addition would also work) :

the other point on the line would be

(2 - 4, -3 - 3) = (-2, -6)

and then you draw a line that goes through both points.

Answer:

domain: -4 ≤ x ≤ 2

range: 2 ≤ y ≤ 6

Step-by-step explanation:

Answer:

AD=7,BE=6,AB=4,AC=3.

Answer: x=16

Step-by-step explanation:

Move the variable to the left-hand side and change its sign

5 x - 3- 3 x =29

Move the constant to the right-hand side and change its sign

5 x - 3 x = 29 + 3

Collect like terms

2 x = 29+ 3

Add the numbers

2x= 32

Divide both sides by 2

and you get x=16

Step-by-step explanation:

5x - 3 = 3x + 29

5x - 3x = 29 + 3

2x = 32

x = 32/2 = 16

x = 16 ans

therefore, value of x is 16.

HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE

Answer:

First bag unit price: 2.85

Second bag unit price : 3.40

first bag is better.

Step-by-step explanation:

divide the weight by cost