How many digits will be in the quotient?
39 4,641

Answer:

2y

Step-by-step explanation:

To find the GCF ( Greatest Common factor), for an algebraic expression like the one given, all you have to do if look over the expression and circle all the terms they both share, in this case, both 4yz and 2y^2 had 2y in them, except in different forms.

If you find it difficult to recognize the similarities, divide the expressions as much as you can.

Hope this helps

Answer:

540°

Step-by-step explanation:

The sum of all the interior angles in a pentagon with 5 sides is 540°.

Answer:

540°

Step-by-step explanation:

Using the formula for finding the sum of interior angles of polygons

(n-2)×180

Where n is no. Of sides

For pentagon (5 sides) it will be

=(5-2)×180

=(3)×180

=540

So angles of a pentagon add up to 540°

Answer:

Options (A), (B) and (C)

Step-by-step explanation:

In the given figure,

Length of side AD = 16 units

If this side is scaled by a factor = k

Then the length of the corresponding side will be = 16k

If 0 < k < 1,

Then length of the corresponding side will be less than 16.

[Example: If k = [tex]\frac{1}{4}[/tex]

Therefore, scaled side of the corresponding side of the quadrilateral = [tex]16\times \frac{1}{4}[/tex] = 4]

That means length of corresponding sides may be 4, 6.5 and 12.

Options (A), (B) and (C) will be the answer.

Answer:

a b and c

Step-by-step explanation:

Answer:

As shown in table, the probability that a person selected at random is going to city B is:

P = number of responses to city B/total number of people answered survey

  = 36/100 = 0.36

Hope this helps!

:)

Answer: 7.2 months

Step-by-step explanation:

Hi, to answer this question we have to substitute f(x) =500 in the equation given:

f(x) = 100(1.25)^x

500= 100(1.25)^x

Solving for x (number of months)

500/100 = 1.25^x

5 = 1.25^x

log 5 =log 1.25^x

log 5 =x (log 1.25)

log 5 /log 1.25 =x

x = 7.2 months

Feel free to ask for more if needed or if you did not understand something.  

Step-by-step explanation:

answer is (b) x=3+√13

-

Answer:

[tex]170in^3[/tex]

Step-by-step explanation:

[tex]V=\pi r^2h=\pi *3^2*6=169.646\\=170in^3[/tex]

Answer: D

Step-by-step explanation:

I don’t know how to explain this to you step by step but when it comes to questions like this try to think more “logically” (if that makes sense) especially if you’re not familiar with the topic, like me. Think about it, if it was the first one the line on the graph would be above the middle line (its addition plus its greater than y so that wouldn’t be correct). Now the second one is subtraction but its less than y and everything thats coloured goes up not down so it has to be greater than y. C is not the correct answer because its a regular equation and thats not what the question wants plus its the only question out of the the 4 answers which is completely the odd one out so you can just cancel that out. Mow we come to the last answer which is the correct answer because it follows all the right “points” I mentioned earlier. I hope this makes sense to you, sorry I couldn’t explain it better!

Answer:

G > 16

Step-by-step explanation:

The expression "more than" 16 gold pieces per day means that the number of gold pieces Kwame earns each day (G) must be greater than 16. In order to represent that as an inequality, we should use the greater-than sign: >.

The inequality that describes the number of gold pieces Kwame must earn per day  is G > 16.

Answer:

0 ≤ x ≤ 18

Step-by-step explanation:

Let 'x' be the number of youth tickets purchased at the zoo and 'y' be the number of adult tickets purchased at the zoo.

At a zoo, youth tickets cost $5 and adult tickets cost $9. A group spent a total of $90 on tickets. We can write as

5x + 9y = 90

to find x we divide both side by 5

x = (90-9y)/5 =>  90/5 - 9y/5

x = 18 - 9y/5

The domain of the relationship is the possible set of values of x and y that satisfies the equation. The domain of this relationship is

0 ≤ x ≤ 18

At x = 0, it means only adult tickets were purchased.

At x = 18, it means only youth tickets were purchased.

Answer:

0 ≤ x ≤ 18

Step-by-step explanation:

got it correct on pluto

Answer:

$80

Step-by-step explanation:

Answer:

80

Step-by-step explanation:

She gets 16.00 for every 4 quarts she sells

The dollar amount increases by 16.00 after 4 quarts

Answer:

9/16

Step-by-step explanation:

Total of 16 combinations:

1:2

1:3

1:4

1:5

2:2

2:3

2:4

2:5

3:2

3:3

3:4

3:5

4:2

4:3

4:4

4:5

Total is 5 or less

1:2

1:3

1:4

2:1

2:2

2:3

3:1

3:2

4:1

I got 9/16

Answer:

I say p because in order to see how many dollars she pays, she needs to find how gallons are there.

Step-by-step explanation:

Correct me if I am wrong

Answer:

Assuming that the person does not account for probability changes when counters are not replaced, the answer is 20 counters.

Step-by-step explanation:

Please refer to the picture above.

Disclaimer: Probability is not used to deduce the question. The knowledge of fraction is used instead to avoid excess complexity.

Assuming the number of dabbed counters follow the ratio of 1/4 as deduced from the number of dabbed counters in 200 counters, you would expect the number of dabbed counters in 80 counters to follow the same ratio of 1/4. Hence the answer is 20.

Answer:

[tex]\dfrac{x^{2}}{1210000 } - \dfrac{y^{2}}{5759600} = 1[/tex]

Step-by-step explanation:

A hyperbola is a curve for which the difference of the distances |d₂ - d₁| of any point P from the foci is constant.

The definition leads to the equation

[tex]\dfrac{x^{2}}{a^{2}} - \dfrac{y^{2}}{b^{2}} = 1[/tex]

1. Calculate the value of a²

Assume the neighbours are at the foci A and B.

The explosion is farther from B than from A, so it occurred on the right branch of the hyperbola.

Then AB = 1 mi = 5280 ft

and the distance from the focus to the y-axis is

c = 2640

The vertices are (±a,0).

The speed of sound is 1100 ft/s, so B is 2200 ft further from the explosion.  

The distance from A to the vertex V₁ is c - a. Then

AB = 2200 + 2(c - a) = 2200 -2(2640 - 2a) = 2200 +5280- 2a = 5280

2a = 2200

a = 1100

a² = 1 210 000

2. Calculate the value of b²

[tex]\begin{array}{rcl}a^{2} + b^{2} & = & c^{2}\\1100^{2} + b^{2} & = & 2640^{2}\\b^{2} & = & 2640^{2} - 1100^{2}\\& = & 6969600 - 1210000\\& = & \mathbf{5759600}\\\end{array}[/tex]

3. Write the equation for the hyperbola

[tex]\mathbf{\dfrac{x^{2}}{1210000 } - \dfrac{y^{2}}{5759600}} = \mathbf{1}[/tex]

The equation of the hyperbola is [tex]\frac{x^2}{1210000} -\frac{y^2}{5759600^2} = 1[/tex]

The equation of an hyperbola is represented as:

[tex]\frac{x^2}{a^2} -\frac{y^2}{b^2} = 1[/tex]

The given parameters are given as:

AB = 1 mile

a = 1100 feet

Express the distance AB as feet

AB = 5280 ft

So, the distance AB from the foci is:

[tex]c = \frac{AB}2[/tex]

This gives

[tex]c = \frac{5280}2[/tex]

[tex]c = 2640[/tex]

The value of b is calculated as:

[tex]a^2 + b^2 = c^2[/tex]

So, we have:

[tex]1100^2 + b^2 = 2640^2[/tex]

This gives

[tex]b^2 = 2640^2 -1100^2[/tex]

Evaluate

[tex]b^2 = 5759600[/tex]

Recall that:

[tex]\frac{x^2}{a^2} -\frac{y^2}{b^2} = 1[/tex]

So, we have:

[tex]\frac{x^2}{1100^2} -\frac{y^2}{5759600^2} = 1[/tex]

[tex]\frac{x^2}{1210000} -\frac{y^2}{5759600^2} = 1[/tex]

Hence, the equation of the hyperbola is [tex]\frac{x^2}{1210000} -\frac{y^2}{5759600^2} = 1[/tex]

Read more about hyperbola at:

https://brainly.com/question/19395889

Answer:

C 3/16

Step-by-step explanation:

C 3/16

Answer:

[tex]V=V_p-V_cV=27.712 cm^3 - 4.019 cm^3V=23.693 cm^3V=23.6 cm^3[/tex]

Step-by-step explanation:

Given that:

Diameter of the cylinder: d=1.6 cm

Apothem of the hexagon: a=2 cm

Assuming the thickness of the steel hex nut: t=2 cm

Volume of metal in the hex nut: V=?

[tex]V=V_p-V_c[/tex]

[tex]\texttt {Volume of the prism}: V_p\\\\\texttt {Volume of the cylinder}: V_c[/tex]

Prism:

[tex]V_p=Ab h[/tex]

Ab=n L a / 2

Number of the sides: n=6

Side of the hexagon: L

Height of the prism: h=t=2 cm

Central angle in the hexagon: A=360°/n

A=360°/6

A=60°

[tex]\tan \frac{A}{2} =\frac{L}{2} / a[/tex]

[tex]\tan \frac{60}{2} =\frac{L}{2} / 2cm[/tex]

[tex]\tan 30 =\frac{L}{2} / 2cm[/tex]

[tex]\frac{\sqrt{3} }{3} =\frac{\frac{L}{2} }{2}[/tex]

[tex]2\frac{\sqrt{3} }{3} =\frac{L}{2}[/tex]

[tex]L=4\frac{\sqrt{3} }{3}[/tex]

[tex]Ab=n *L *\frac{a}{2}[/tex]

[tex]Ab=6(4\frac{\sqrt{3} }{3} )(2cm)/2[/tex]

[tex]=24\frac{\sqrt{3} }{3} cm^2\\\\=8\sqrt{3} cm^2[/tex]

[tex]V_p=Ab h[/tex]

[tex]=(8\sqrt{3} )cm^2(2cm)\\\\=16\sqrt{3} cm^3\\\\=16(1.732)cm^3\\\\=27.712cm^3[/tex]

Cylinder:

[tex]V_c=\pi\frac{d^2}{4} L[/tex]

π=3.14

d=1.6 cm

Height of the cylinder: h=t=2 cm

[tex]V_c=3.14\times\frac{1.6^2}{4} \times2\\\\=3.14\times\frac{2.56}{4} \times 2\\\\=2.0096\times2\\\\=4.019cm^3[/tex]

[tex]V=V_p-V_cV=27.712 cm^3 - 4.019 cm^3V=23.693 cm^3V=23.6 cm^3[/tex]

Answer:

23.6

Step-by-step explanation:

Edge 2020

Answer:

2,880

Step-by-step explanation:

La facturación en primas sería de 2,880

Answer:

the answer is -10

Step-by-step explanation:

2 × -5 =-10

The procedure for representing products 2 and -5 is described as follows:

Draw the distance of the first negative number then Extend the distance by the magnitude of the second negative number.

Integers are arranged at equal intervals along horizontal straight lines called number lines. A number line can be used to represent every number in a series. The endpoints of this line go on forever.

This refers to those as closed number lines. Number lines might be alternatively left empty or blank.

In the number line, negative numbers represent leftward distances. The product of a negative number and a positive number will be equal to the distance of the negative one by the number of times such distance is repeated.

The procedure is described as follows:

Draw the distance of the first negative number then Extend the distance by the magnitude of the second negative number.

And Draw the distance of the reflection of the result found in 2.

Learn more about number line here:

brainly.com/question/13425491

#SPJ7

Answer:

see explanation

Step-by-step explanation:

let the 2 consecutive numbers be n and n + 1

sum = n + n + 1 = 2n + 1

and

(n + 1)² - n² ← difference of the squares

= n² + 2n + 1 - n²

= 2n + 1 = sum of 2 numbers

Answer:    1.y=  -2  2. y=2

Step-by-step explanation:

Steps:

Simplify:

5³/5⁷

= 5³/5⁷

= 5*5*5/ 5*5*5*5*5*5*5

=1/5⁴

=1/625 (Decimal: 0.0016)

Steps by Step:

5³/5⁷

=125/5⁷

=125/78125

=1/625

Answer:   =1/625       (Decimal: 0.0016)

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Hope this helps.

Answer:

Step-by-step explanation:

Let ∠A = x

Therefore, ∠A = ∠B = ∠C = x

The sum of all angles of a quadrilateral is 360

∠D + ∠A + ∠B + ∠C =360

150 +x + x + x =360

150 + 3x = 360

3x = 360 - 150

3x = 210

x = 210/3

x = 70

∠A = ∠B = ∠C = x = 70°

Answer:

Step-by-step explanation:

A number line is a line that can be used to show the position of directed numbers. It has the negative numbers to its left ( i.e before zero) and positive number to the right (i.e after zero).

Rational numbers are positive or negative integers, fractions or decimals.

The rational number -2[tex]\frac{3}{5}[/tex] = -[tex]\frac{13}{5}[/tex] = -2.6 can be shown on the number line as indicated in the image attached to this answer.

Answer:A

Step-by-step explanation: i did the assignment on edge

Answer: (2,1)

Step-by-step explanation:

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size. A dilation stretches or shrinks the original figure by a Factor (in this case 1/3).

C =(6, 3)

[tex]C' = \frac{1}{3} (6, 3)=(\frac{6}{3}, \frac{3}{3} )=(2, 1)[/tex]

Answer:

2*2*7

Step-by-step explanation:

28 = 2*2*7

Answer:

2 x 2 x 7

Step-by-step explanation:

Answer:

94°, 120°, 152°

Step-by-step explanation: