Evaluate: 14/2 - 3 + 6/3

Answer:

[tex]9x^{2} -6xy-3y^{2}[/tex]

Step-by-step explanation:

[tex](3x+y)(3x+-3y)[/tex]

[tex](3x)(3x)+(3x)(-3y)+(y)(3x)+(y)(-3y)[/tex]

[tex]9x^{2} -9xy+3xy-3y^{2}[/tex]

[tex]9x^{2} -6xy-3y^{2}[/tex]

Answer:

9xsq - 6xy -3ysq

Step-by-step explanation:

3x x 3x = 9xsq

3x x -3y= -9xy

y x 3x = 3xy

y x -3y= -3ysq

9xsq -9xy +3xy -3ysq

9xsq -6xy - 3ysq

sq = squared

Answer:

The value of the investment V(t) after t years is $562.43

Step-by-step explanation:

Here, we are interested in calculating the balance V(t) after 3 years given the information in the question.

We are to use the given formula.

From the question;

V(t) = ?

P= $500

t = 3 years

r = 4% = 4/100 = 0.04

n = 1

Substituting these values into the formula, we have ;

V(t) = 500( 1 + 0.04/1)^(3)

V(t) = 500(1.04)^3

V(t) = 562.432

Answer:

The correct answer is (d) 36 units.

Step-by-step explanation:

Just took the test on edge :)

The measure of UW is 36 units

From the question, a line has points U, V, W. If Point V lies between points U and W on Line segment U W, then;

UV + VW = UW

Given the following

VW = 4 x + 10.

UW = 9x – 9

UV = 2x - 4

Substitute

2x - 4 + 4x + 10 = 9x - 9

6x + 6 = 9x - 9

-3x = -15

x = 5

UW = 9x - 9

UW = 45 - 9

UW = 36 units

Hence the measure of UW is 36 units

Learn more on angles here: https://brainly.com/question/25770607

Answer:

B. (x+8)(x+4)

Step-by-step explanation:

[tex] {x}^{2} + 12x + 32 \\ = {x}^{2} + 8x + 4x + 32 \\ = x(x + 8) + 4(x + 8) \\ \red { \bold{ = (x + 8)(x + 4) }}[/tex]

Answer:

31 inches

Step-by-step explanation:

you can get this answer by 2 ways. one is using number patterns.

find the difference between each of the heights.

13-10=3

16-13=3

19-16=3

therefore the common difference is 3

now create a number pattern.

first term + common difference× (n-1)= nth term

a+(n-1)d

let's check this with the 2nd month

10+ 3× (2-1)

10+3=13

in second month 13 inches

so this pattern works

let's find the height in 8th month

10+ 3(8-1)

10+ 21=31 inches

height in 8th month is 31 inches.

you can find this by just adding too. but forming an equation is always good and safe

Answer:

V =13/150 yd^3

Step-by-step explanation:

The volume of a rectangular prism is given by

V = l*w*h

V = 1/2*( 13/15)* 1/5

V =13/150 yd^3

Answer:

13\150 yd³

Step-by-step explanation:

V=height×weight×legth

1\2×13\15×1\5=13\150 yd³

Answer:

uh say that again slower

Step-by-step explanation:

Answer:

Step-by-step explanation:

Both B and C would be using e

Option (B) Subtracting the left side of equation 2 from the left side of equation 1 would be the correct choice.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have two linear equations or systems of equations:

3x-2y = 7 Equation 1

3x+4y= 17 Equation 2

As we know, in the elimination method:

We try to eliminate the variables at a time by making a similar coefficient of the x or y.

In option (B) Subtract the left side of equation 2 from the left side of equation 1.

It is not allowed to perform because first, we have to make the coefficient of y similar.

Thus, option (B) Subtracting the left side of equation 2 from the left side of equation 1 would be the correct choice.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ5

Answer:

10km

Step-by-step explanation:

2x5=10km

Answer:

Either side would have been improved by a railway so they could get more ammo in and get food in and also get the sick and wonded out to get medical attention

Step-by-step explanation:

Answer:

i

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

F + V − E = 2

Where F is the number of faces, V is the number of vertices and E is the number of edges

F + 16 - 24 = 2

Combine terms

F -8 = 2

Add 8 to each side

F -8+8 =2+8

F = 10

Answer:

x = 22/15

Step-by-step explanation:

2.5(6x-4)=10+(1.5+0.5)

Combine like terms

2.5(6x-4)=10+(2)

2.5(6x-4)=12

Divide each side by 2.5

6x-4 = 4.8

Add 4 to each side

6x = 8.8

Divide by 6

6x/6 = 8.8/6

x = 88/60

x = 22/15

Answer:

301 plates

Step-by-step explanation:

For numbers between 0 and 9, 1 plate was used each.

This means that 10 plates were used.

For numbers between 10 and 99, 2 plates were used for each.

This means that the number of plates used will be:

2 * 90 = 180 plates

For numbers between 100 and 136, 3 plates were used for each.

This means that the number of plates used is:

3 * 37 = 111 plates

The total number of plates used is therefore:

10 + 180 + 111 = 301 plates

301 plates were used in total.

Answer:

(a) The complete frequency distribution is shown below.

(b)The histogram is attached below.

Step-by-step explanation:

The data for the number of miles biked by eighteen cyclists last week is as follows:

7, 21, 12, 4, 5 , 18, 10, 23, 11, 13, 20, 4, 24, 4, 9, 11, 6, 23

(a)

A frequency distribution is to formed for the data with a class width of 6.

The class intervals are provided.

The complete frequency distribution is as follows:

Class Interval      Frequency

     2 to 7                    6

    8 to 13                    6

   14 to 19                    1

  20 to 25                  5

(b)

The histogram is attached below.

Answer:

smaller

Step-by-step explanation:

If Andre is using a scale of 1:12 then we can safely say that the courtyard drawing will be smaller than his first drawing. This is because this scale means that for every 12 units of measurement on the original the newer version will be 1 unit of measurement. Therefore making the new drawing 12 times smaller than the first one that Andre made.

Hey!!

Solution,

(5)^-2

=1/5^2

=1/25

The answer is 1/25

hope it helps

Good luck on your assignment

Answer:

570 miles

Step-by-step explanation:

If Damian rides 38 each week and we want to know how much it was for 15 weeks, then we just multiply the two to get 570 miles in a 15 week period.

Answer:570

Step-by-step explanation:

38 times 15= 570

Answer:

Step-by-step explanation:

[tex]\frac{5}{6}x-1>1\frac{1}{3}\\\\\frac{5}{6}x-1>\frac{4}{3}\\\\\frac{5}{6}x>\frac{4}{3}+1\\\\\frac{5}{6}x>\frac{4}{3}+\frac{3}{3}\\\\\frac{5}{6}x>\frac{7}{3}\\\\x>\frac{7}{3}*\frac{6}{5}\\\\x>\frac{7*2}{5}\\x>\frac{14}{5}\\\\x>2\frac{4}{5}[/tex]

19-28/n

n=7

19-28/7

19-4

=15

Answer:

d for the lazy people like me  :D PROPS TO THE PERSON ON TOP OF ME

Step-by-step explanation:

Answer:

56.52in^3

Step-by-step explanation:

V=πr^2h

V=3.14×3^2×6in/3

V=3.14×9in^2×6in/3

V=3.14×54in^3/3

V=3.14×18in^3

V=56.52in^3

To find the time until the ball hits the ground, you need to solve the quadratic as the height equals zero.

0 = -16t^2+50t

This gives us a classing quadratic that you can factor or use the quadratic formula to solve.

x = 0, x = 25/8

If you graph this, think of y = 0 as the ground, so when the parabola intersects the x-axis on the right that represents how much time would have passed.

Hope this helps you out! Good luck with your homework! Stay safe and stay healthy.

Answer:

y = –5x + 3....... 1

y = 1 ..........2

Substitute y = 1 into the first equation

y = –5x + 3

1 = - 5x + 3

-5x = 1-3

- 5x = - 2

Divide both sides by - 2

x = 2/5 or 0.4

x = 0.4 y = 1

The solution to the above system of equations is ( 0.4 , 1)

Hope this helps

Answer:

0.4, 1

Step-by-step explanation:

A, The first one

Answer:

The height of the ladder is 15 meters.

Step-by-step explanation:

To find the height of the ladder, we just need to use the cosine relation of the 60 degrees angle.

The adjacent side to the angle is the height of the ladder, and the hypotenuse of the triangle created is the length of the ladder. So, we have that:

cos(60) = height / length

0.5 = height / 30

height = 30 * 0.5 = 15 meters

The height of the ladder is 15 meters.

Answer:

Using the information from the problem, the measurement of ∠A is 55°

Step-by-step explanation:

We are given that ΔABC is isosceles. If a triangle is isosceles, then it means that two angles are going to be congruent to each other which are called the base angles. In the problem above, ∠A and ∠C are the base angles so that means that their measurements are going to be equal to each other.

We can use this information in order to solve the problem and find the measurement of ∠A. By doing so, we will set up both expressions and equal them to each other.

m∠A = 3x + 40

m∠C = x + 50

3x + 40 = x + 50

Subtract x on both sides of the equation.

2x + 40 = 50

Subtract 40 from both sides of the equation.

2x = 10

Divide 2 on both sides of the equation.

x = 5

So now that we have our x-value, we will plug this into both angles just to check our work. If they have the same measurement, then we have our answer for the measurement of ∠A.

x = 5

m∠A = 3(5) + 40

m∠A = 15 + 40

m∠A = 55

m∠C = (5) + 50

m∠C = 55

So, the two angles have the same measurements to each other which means they are congruent. Now, we have our answer.

The measurement of ∠A is 55°

Answer:

1/7 is the smallest fraction

Answer:

The distance between P and Q is 54

Step-by-step explanation:

We are given that triangle RPQ is similar to triangle RTS.

Property of similar triangle: The ratio of any pair of corresponding sides is the same.

So, by property : [tex]\frac{RP}{RT}=\frac{PQ}{ST}[/tex]

PR=42

PQ=x

ST=36

RT=28

So,[tex]\frac{42}{28}=\frac{x}{36}[/tex]

[tex]\frac{42 \times 36}{28}=x[/tex]

54=x

Hence the distance between P and Q is 54

Answer:

D) 54

Step-by-step explanation:

Completed the test earlier