A city is located at a height of 138m above sea level while a town is at a height of 51m below sea level represent the altitude of the town using a negative number. Hence, find the difference in altitude between the city and the town

Answer:

(3x + 7)²

Step-by-step explanation:

You can either factor it by GCF or guess and check. The question you should be asking when you try to factor is"What multiplies to 49 and adds up to 42 with coefficients 3 in front of the x?" When you answer this question, you should think of 7 and 7. You then put it in binomial form and you have your answer.

Answer: (3x + 7)^2

Step-by-step explanation:

9x^2 + 42x + 49

3^2x^2 + 2 * 3x * 7 + 7^2

3x^2 + 2 * 3x * 7 + 7^2

(3x + 7)^2

Answer:

the volume of the prism is VOLUME=BASE*HEIGHT

Step-by-step explanation:

SO it's ,

13*7=91ft

Answer:

591.5 ft^3

Step-by-step explanation:

Answer:

384 centimeters squared.

Step-by-step explanation:

96/(6+8+10)

96/24 = 4

6×4 : 8×4 : 10×4

24:32:40

The length of its sides are in the ratio of 24:32:40

The longest side is the hypotenuse which is 40.

The area is base × height × 1/2 of a triangle.

32 × 24 × 1/2

768 × 1/2

=384

The area of the triangle is 384 cm squared.

Answer:

Area = 384 cm²

Step-by-step explanation:

Perimeter = 96 cm

Ratio = 6:8:10

So,

6x+8x+10x = 96

=> 24x = 96

Dividing both sides by 24

=> x = 4

So, The sides are

=> 24 cm

=> 32 cm

=> 40 cm

Now the area using Heron's Formula

Area = [tex]\sqrt{s(s-a)(s-b)(s-c)}[/tex]

Where s is the semi-perimeter = 48 cm, a , b and c are the sides

Area = [tex]\sqrt{48(48-24)(48-32)(48-40)}[/tex]

Area = [tex]\sqrt{48(24)(16)(8)}[/tex]

Area = [tex]\sqrt{147,456}[/tex]

Area = 384 cm²

Answer:

(A)EF corresponds to E'F'

(C)∠EDG Is-congruent-to ∠E'D'G'

(D)∠DEF Is-congruent-to ∠D'E'F'

(F)The transformation is a rigid transformation.

Step-by-step explanation:

Given:

The following applies:

Now, a rigid transformation is a transformation of the plane that preserves length. Since the two parallelograms have identical side lengths:

Note that a reflection is an isometric transformation. Therefore the statement "The transformation is not isometric" is INCORRECT.

FG and GD are adjacent sides, therefore they may not necessarily be congruent. Thus FG does not corresponds to G'D'

Answer:

1346

Step-by-step explanation:

Answer:

infinite solutions

Step-by-step explanation:

Multiply the first equation by 2

2(3x-5y) = 2*15

6x - 10y = 30

This is the same as the second equation

They are the same line

This means there are infinite solutions

Answer:

Brainliest? I solved both!

Step-by-step explanation:

Answer:

The correct option is;

10 m

Step-by-step explanation:

The parameters given are;

Height of the first pole = 20 m

Height of the second pole = 14 m

The angle the wire connected to their top makes with the horizontal = 30°

The vertical height subtended by the inclined wire, h = The difference in height between the two poles = 20 - 14 = 6 m.

Let the horizontal distance between the two poles = D

Therefore;

The horizontal length of the wire = D

From trigonometric ratios, we have;

[tex]tan(30 ^{\circ}) = \dfrac{h}{D} = \dfrac{6}{D}[/tex]

Which gives;

[tex]D = \dfrac{6}{tan(30 ^{\circ}) } = 10.39 \ m\approx 10 \ m[/tex]

The correct option is 10 m.

Answer:

x=2, y=1

Step-by-step explanation:

4x+8y=16

4x-8y=0

Add the two equations together:

8x=16

Divide both sides by 8:

x=2

Plug this back into one of the original equations to find y:

4(2)-8y=0

8-8y=0

y=1

Hope this helps!

Answer:

x, y = (0, 0)

Step-by-step explanation:

photo math broo

Answer:

AD :  DC is 2:3

Step-by-step explanation:

The parameters given are;

Point B ∈ AC

AB : BC = 2:1

Point D ∈ AB

AD : DB = 3:2

Therefore, whereby we sum the ratios, we have;

For AC

AB = 2/(2+1)×AC = 2/3×AC

BC = 1/3×AC

For AB

AD = 3/(3+2)×AB = 3/5×AB

DB = 2/5×AB

We are required to find AD:DC

Given that AD = 3/5×AB and AB =  2/3×AC

We have;

AD = 3/5×2/3×AC = 6/15 AC

DC = DB + BC =  2/5×AB + 1/3×AC = 2/5×2/3×AC + 1/3×AC = 4/15×AC + 1/3×AC

DC = 3/5×AC

AD :  DC = 6/15 AC : 3/5×AC = 2:3.

Answer:

4 * 2 = 8

10^6 * 10^7 = 10^(6 + 7) = 10^13

Answer is 8 * 10^13

So I'm pretty sure I solved a similar question before, but we always write the equation first.

So, equation:

(4 × 10^6) × (2 × 10^7)

Again, we will use the order of operations.

() - Parenthesis

^x - Exponents

×/÷ - Multiplication/Division

+/- - Addition/Subtraction

Now, solve the parenthesis. We have two parentheses, so we will solve those separately.

(4 × 10^6)= 4 × 1,000,000 = 4,000,000

(2 × 10^7)= 2 × 10,000,000 = 20,000,000

Now, multiply these two together.

4,000,000 × 20,000,000 = 80000000000000

BUT, we can simplify this. So, the real answer is:

8 × 10^13

Answer:

452.389342 cubic inches

Step-by-step explanation:

The volume of a sphere is calculated using the formula V = 4/3 pi r^3

to determine the radius, you can notice that 4 spheres take up 24 in in length. This means that the radius of 1 sphere is 24/4/2 = 3 inches.

from there we plug and play: V = 4/3 * pi * 3^3 = 113.097336 cubic inches.

Note that this is only the volume of 1 sphere, so we multiply by 4

and we get 452.389342 cubic inches

Answer:

452.4

Step-by-step explanation:

Radius of each sphere: 24/4/2=3

Formula for volume: (4pir^3)/3

Formula for 4 spheres: 4 times (4pir^3)/3

Substitute 3 for r

Answer:

i

Step-by-step explanation:

Answer:

-2x + 85 = 5x - 48

85 = 7x - 48

7x = 133

x = 19

BC = -2(19) + 85

BC = -38 + 85

therefore, BC = 47

Step-by-step explanation:

Answer:

1.75 pounds

Step-by-step explanation:

28 divided by 16 = 1.75!

Hope it helps!

Answer:

1.75 pounds or 1 3/4 pounds

Step-by-step explanation:

28/16 = 1.75

Answer:

3/20

Step-by-step explanation:

5 green marbles,3 red marbles and 2 blue marbles from the bowl = 10 marbles

P( green) = green/total = 5/10 = 1/2

Replace

5 green marbles,3 red marbles and 2 blue marbles from the bowl = 10 marbles

P( red) = red/total = 3/10

P(green,replace, red) = 1/2 * 3/10 = 3/20

Step-by-step explanation:

4unit is 35

1unit is 35/4 which is 8.75

Answer: Yes, there is a relationship. As time increases, texting speed decreases.

Step-by-step explanation:

that is for the people looking for the correct answer.

The correct option is B, Yes, there is a relationship. As time increases, texting speed decreases.

A scatter plot is a form of plot or mathematical diagram that displays values for two variables for a collection of data using Cartesian coordinates. One more variable can be presented if the points are programmed.

Although the points plotted on the graph are completely scattered. There exists a basic relationship between the points, as time increases, texting speed decreases, moving from the left side of the graph to the right side of the graph. Hence, the correct option is B, Yes, there is a relationship. As time increases, texting speed decreases.

Learn more about Scatter Plot:

https://brainly.com/question/13984412

#SPJ2

Answer:

Solution,

X=4

Now,

[tex]5x - 3y = 32 \\ or \: 5 \times x - 3y = 32 \\ or \: 5 \times 4 - 3y = 32 \\ or \: 20 - 3y = 32 \\ or \: - 3y = 32 - 20 \\ or \: - 3y = 12 \\ or \: y = - \frac{12}{ 3} \\ y = - 4[/tex]

Hope this helps...

Good luck on your assignment..

Answer:

y = 16/3 or 5.333333...

Step-by-step explanation:

5x - 3y = 4

→ Substitute the value of x = 4 into the expression

(5 × 4) - 3y = 4 ⇔ 20 - 3y = 4

20 - 3y = 4

→ Minus 20 from both sides to isolate -3y

-3y = -16

→ Divide both sides by 3 to isolate y

y = 16/3 or 5.333333...

Answer:

4.19 units^3

Step-by-step explanation:

The volume formula for spheres is [tex]V = \frac{4}{3} r^3[/tex]

If you plug in the radius which is 1 in this problem you'll get the volume of the sphere.

Answer: 4.19 cu. units

Step-by-step explanation:

Volume of a sphere = 4/3πr^3

= 4/3 x 3.14 x 1^3

= 4/3 x 3.14 x 1

= 4.19 cu. units

Answer:

-3

Step-by-step explanation:

Variables are letters which are used to represent particular unknown quantities in equations.

Now the variable in this question is x.

When we talk about coefficient , we mean the number before the variable in question.

We can see that the variable is written as -3x

-3 is the value before the variable so we can agree that -3 is its coefficient

Answer:

its -3, i took the test

Have a great day!!

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

There is a common difference d between consecutive terms, that is

d = 8 - 5 = 11 - 8 = 14 - 11 = 17 - 14 = 20 - 17 = 23 - 20 = 3

This indicates the sequence is arithmetic

The common difference d = 3

The first term a₁ = 5 and

a₈ = 23 + 3 = 26

Answer:

4320 square inches

Step-by-step explanation:

Area of a rectangle is base times height. You need to convert 3 yards to inches in order to multiply for the area. Since 1 yard is equal to 36 inches, 4 yards is 4*36 = 144 inches. Now you multiply 30 * 144 to get 4320, which is your answer.

Answer:

2/7

Step-by-step explanation:

4 red marbles and 3 blue marbles in a bag = 7 marbles

P(red) = red/total = 4/7

No replacement

3 red marbles and 3 blue marbles in a bag = 6 marbles

P(red) = red/total = 3/6 = 1/2

P(red, no replacement, red) = 4/7 * 1/2 = 2/7

C. exponential decay

Answer:

[tex]solution \\ cost \: of \: 25 \: ticket = 50 \\ cost \: of \: one \: ticket = \frac{50}{25} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2[/tex]

hope this helps..

Good luck on your assignment

25 tickets cost 50.00 dollars.

The cost of 1 ticket would be:

50/25=2

2.00 dollars to be precise.

Answer:

did u ever get hte answers for this ?

Answer:

[tex]18+(-2)(\sqrt{-9})[/tex] or [tex]18-2\sqrt{9}[/tex]

Step-by-step explanation:

Answer:

The probability of Thomas inviting Madeline to the party over the phone is 0.143.

Step-by-step explanation:

Consider the tree diagram below.

The events are denoted as follows:

A = Thomas bumps into Madeline at school

B = Thomas call Madeline on the phone

X = Thomas asks Madeline to the party

The information provided is:

P (A) = 0.80

P (B) = 1 - P (A) = 1 - 0.80 = 0.20

P (X|A) = 0.90

⇒ P (X'|A) = 1 - P (X|A) = 1 - 0.90 = 0.10

P (X|B) = 0.60

⇒ P (X'|B) = 1 - P (X|B) = 1 - 0.60 = 0.40

The conditional probability of event U given that another events V has already occurred is:

[tex]P(U|V)=\frac{P(V|U)P(U)}{P(V)}[/tex]

The law of total probability states that:

[tex]P(V)=P(V|U)P(U)+P(V|U')P(U')[/tex]

In this case we need to determine the probability that Thomas invites Madeline to the party over the phone, i.e. P (B|X).

Use the law of total probability to determine the value of P (X) as follows:

[tex]P(X) = P(X|A)P(A)+P(X|B)P(B)[/tex]

         [tex]=(0.90\times 0.80)+(0.60\times 0.20)\\=0.72+0.12\\=0.84[/tex]

Compute the value of P (B|X) as follows:

[tex]P(B|X)=\frac{P(X|B)P(B)}{P(X)}[/tex]

             [tex]=\farc{0.60\times 0.20}{0.84}\\\\=0.14286\\\\\approx 0.143[/tex]

Thus, the probability of Thomas inviting Madeline to the party over the phone is 0.143.

Answer:

84%

Step-by-step explanation:

Its the correct answer

Answer:

2245

Step-by-step explanation:

2282-37=2245

2245 students are girls

Answer:

1304

Step-by-step explanation:

3/7 of students are boys

total students= 2282

girls are 1-3/7= 4/7 of all students

girls= 2282*4/7= 1304