Problem 2
Write each expression as a multiple of a power of 10.
Expression
As a Multiple of a Power of 10
42300
2000
9200000
Four thousand
80 million
32 billion
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Answer:

Step-by-step explanation:

question doesnt make sense

Answer:

1.28 in³

Step-by-step explanation:

Volume of Amy's cone

Volume of Don's bowl

Difference

Answer:

So obviously in the context of this question you are meant to find the volume. Since Don's bowl already has a given value of 5 cubic inches we will use that same unit when calculating amy's ice cream cone volume.

Step-by-step explanation:

You are given that amy has a cone and need to find the volume. The formula for the volume of a cone is (V=πr^2*h/3).

π = pi or 3.14......

r = radius (in this case the opening/ diameter of the ice cream cone is given as 2 inches and the radius is half of diameter so d/2 = r (r=1)

h = height (in this case it is given that height is 6 inches)

Remember all variable units must be kept the same so in this case all units are inches.

Now Plug in and solve V = [tex]3.14*(1)^{2} *\frac{(6)}{3}[/tex]

Remember order of operations / PEMDAS (in this case, do exponent first then just multiply from left to right and at the end divide that number by 3.

V= 6.28 cubic inches (since all our units were inches and we are finding cubic volume of a cone)

Now Amy volume of cone - Don volume of bowl = your answer. 6.28-5 = 1.28 cubic inches

Answer:

3/16

Step-by-step explanation:

3/8 / 2 = 3/16

Therefore you and your friend will each get 3/16.

Answer:

[tex]\implies (x-1)^2+(y-3)^2=10[/tex]

Step-by-step explanation:

End points of the diameter of the circle are:

[tex](-2,\:4) \implies x_1= -2, \: y_1= 4[/tex]

[tex](4,\:2) \implies x_2= 4, \: y_2= 2[/tex]

Equation of circle in diameter form is given as:

[tex](x-x_1)(x-x_2)+(y-y_1)(y-y_2)=0[/tex]

Plugging in the values of [tex]x_1, \: y_1,\:x_2, \: y_2[/tex] in the above equation, we find:

[tex][x-(-2)](x-4)+(y-4)(y-2)=0[/tex]

[tex]\implies (x+2)(x-4)+(y-4)(y-2)=0[/tex]

[tex]\implies x^2-2x-8+y^2-6y+8=0[/tex]

[tex]\implies x^2-2x+1-9+y^2-6y+9-1=0[/tex]

[tex]\implies (x^2-2x+1)-9+(y^2-6y+9)-1=0[/tex]

[tex]\implies (x-1)^2+(y-3)^2-10=0[/tex]

[tex]\implies (x-1)^2+(y-3)^2=10[/tex]

This is the required equation of circle in standard form.

Answer:

20-x

Step-by-step explanation:

you need the value of x to answer

Answer:

B. 2106 pi mm³

Step-by-step explanation:

the solution is attached,

Answer:

B.2106π mm^3

Step-by-step explanation:

here is the volume of a drill

[tex]\pi \: {r}^{2} h \: + \frac{1}{3} \pi \: {r}^{2} h[/tex]

[tex]\pi \times 81 \times 18 + \frac{1}{3} \times \pi \times 81 \times 24[/tex]

[tex] > > > 2106 \pi \: {mm}^{3} [/tex]

Answer:

18

Step-by-step explanation:

Given expression:

[tex]2 \times (6 \div 2 + 8) - 4[/tex]

Step-1: Simplify the expression in the parenthesis using PEMDAS

Expression obtained                        Operation of PEMDAS

 [tex]\implies 2 \times (6 \div 2 + 8) - 4[/tex]                                  

 [tex]\implies 2 \times (3 + 8) - 4[/tex]                                  D - Division

 [tex]\implies 2 \times (11) - 4[/tex]                                      A - Addition

 [tex]\implies2 \times 11 - 4[/tex]

Step-2: Simplify the expression obtained from step-1

Expression obtained                        Operation of PEMDAS

 [tex]\implies 2 \times 11 - 4[/tex]

 [tex]\implies 22 - 4[/tex]                                          M - Multiplication

 [tex]\implies 18[/tex]                                                  S - Subtraction

Answer: 224

Step-by-step explanation:

on the white boards

Answer:

i did it

Step-by-step explanation:

Answer:

0.8 meters

Step-by-step explanation:

1 decimeter is 0.1 meters

so,

[tex]\frac{1}{0.1} = \frac{8}{x}\\x = 8*0.1\\x = 0.8[/tex]

Answer:

Pencil is $15 and erasers are $5

Answer: 64x + 30

Step-by-step explanation:

         Since this is an expression, we will simplify. Let � be x.

    Given:

32 + 4 * (16 * x) -2

    Simplify:

32 + 4(16x) -2

    Distribute / multiply:

32 + 64x - 2

    Combine like terms

64x + 30

a) The value of y₂ is 1 for the direct proportionality case.

b) The value of y₂ is 5.76 for the inverse proportionality case.

Proportionality represents a family of relationships between two variables, which can be linear and nonlinear. Direct proportionality represents a linear relationship, whereas inverse proportionality represents a kind of nonlinear relationship.

Here are two mathematical representations of the relationships described above:

[tex]y \propto x[/tex]

[tex]\frac{y_{2}}{y_{1}} = \frac{x_{2}}{x_{1}}[/tex]   (1)

[tex]y \propto \frac{1}{x}[/tex]

[tex]\frac{y_{2}}{y_{1}} = \frac{x_{1}}{x_{2}}[/tex]   (2)

If we know that x₁ = 6, x₂ = 2.5, y₁ = 2.4, then the value of y₂ for each case are, respectively:

y₂ = 2.4 × (2.5/6)

y₂ = 1

y₂ = 2.4 × (6/2.5)

y₂ = 5.76

To learn more on proportions, we kindly invite to check this verified question: https://brainly.com/question/2548537

Answer:

Pi is the number you get from dividing the circumfrence by the diameter of a perfect circle. It is important because without this, we wouldnt have perfect circles and even wheels could be disformed and cause crashes.

Answer:

Pi is an infinite number. We need it to find the area and circumference of a circle.

Step-by-step explanation:

Answer:

[tex]a_{16}=26.5[/tex]

Step-by-step explanation:

Arithmetic series:  [tex]a_n=a+(n-1)d[/tex]

Sum of arithmetic series:  [tex]S_n=\dfrac{n}{2}[2a+(n-1)d][/tex]

(where a is the first term and d is the common difference)

Given:

[tex]\implies a_{25}=44.5[/tex]

[tex]\implies a+(25-1)d=44.5[/tex]

[tex]\implies a+24d=44.5[/tex]

[tex]\implies S_{30}=765[/tex]

[tex]\implies \dfrac{30}{2}[2a+(30-1)d]=765[/tex]

[tex]\implies 30a+435d=765[/tex]

Rewrite [tex]a+24d=44.5[/tex] to make a the subject:

[tex]\implies a=44.5-24d[/tex]

Substitute found expression for a into [tex]30a+435d=765[/tex] and solve for d:

[tex]\implies 30(44.5-24d)+435d=765[/tex]

[tex]\implies 1335-285d=765[/tex]

[tex]\implies 285d=570[/tex]

[tex]\implies d=2[/tex]

Substitute found value of d into [tex]a=44.5-24d[/tex] and solve for a:

[tex]\implies a=44.5-24(2)=-3.5[/tex]

Therefore:

[tex]\implies a_{16}=-3.5+(16-1)2=26.5[/tex]

area square= side²

= (x-6)²

= x²-12x+36

Answer:

36

Formula:
Side² = Area
Step-by-Step Explanation
-6 x -6 = 36

Answer:

Step-by-step explanation:

Let me see if I understand what you mean. Do you mean can you have 153 dollars in your pocket when all you have is 5 dollar bills?

If that is what you mean, then no that isn't possible. You can get 150 dollars or you can get 155 dollars, but you can't get 153.

In order to do the problem, using only 5 dollar bills, the number you choose must end in 0 or 5. If it ends in anything else, the task is impossible.

Answer: $13.55 per shirt

Step-by-step explanation:

3 for $40.65

you must first divide 40.65 by 3 to find the cost of 1 shirt which the answer is $13.55. I hope this helps! Have a good day! :)

Since we are given the price of 3 shirts, we can work backwards to do $40.65 divided by 3 to get the unit cost per shirt, in which we get $13.55.

Glad to help!

I'd appreciate if you marked this as brainliest, if not I understand :)

Answer:

x=85/5

x= 17

y=95/5

y=19

Step-by-step explanation:

vertically opp angles are equal

Answer:

vertical angles here make an X

1. 5y and 95 are vertical

2. 5x and 85 are vertical

3. x = 17

4. y = 19

.

Step-by-step explanation:

angles MPL and NPO are equal

5x = 85

x = 17

angles MPN and LPO are equal

5y = 95

y = 19

Answer:

0

Step-by-step explanation:

since (x + 7) is a factor (aka. a multiple of) (x + 7) that means there cannot be a remainder. h(x) = n(x+7) , n being any whole number

for example

2(x+7) would be a factor of (x+7) and 2(x+7)/(x+7) = 2 will not leave a remainder

Step-by-step explanation:

1.

a. true

b. false (the arc angles are relative to the center of the circle)

c. true (as the central angle of a circle is twice any inscribed angle subtended by the same arc)

d. true (but note that the arc angle of YE is again measured via the center of the circle and twice as large as the angle S)

2.

EGS is an isoceles triangle (that means both legs are equally long).

remember the extended Pythagoras for general triangles :

c² = a² + b² - 2ab×cos(C)

c being the side opposite of the angle C.

let's say c is our long baseline, since we have is opposite angle 124°, and a = b = GE = GS, we have

3.8² = a² + a² - 2aa×cos(124) = 2a² - 2a²×cos(124) =

= 2a²(1 - cos(124))

2a² = 3.8²/(1 - cos(124))

a² = 3.8²/(2(1 - cos(124)))

a = GS = sqrt(3.8²/(2(1 - cos(124)))) =

= 2.151883096... ≈ 2.2 cm

3.

circumference

16pi = 2pi×r

r = 8

area = pi×r² = pi×8² = 64pi

yes, the statement is true.

4.

a half-circle has 180°.

the arc angel AD is a full half-circle (because AD is a diameter), so it is 180°.

the angle ACB is the arc angle AB = 40°. so, the arc angle BD must be the rest of the 180° = 180 - 40 = 140°.

5.

diameter = 50 ft.

so, the radius or distance from the center to the circle arc is 50/2 = 25 ft.

the length of a chord is

c = 2×sqrt(r² - d²)

with r being the radius, d being the distance of the chord from the center.

40 = 2×sqrt(25² - d²)

20 = sqrt(625 - d²)

400 = 625 - d²

-225 = -d²

225 = d²

d = 15 cm

so, the distance of the chord from the center is 15 cm.

6.

the arc angles RE and TS are equal. that means the arc lengths of RE and TS are equal.

and that means the arc lengths of RS and ET are equal. the chords between 2 points on a circle must have the same length, when the arc lengths between these 2 points are the same.

7.

they are equally long.

as we saw in 5., the length of a chord depends on the radius of the circle and the distance of the chord from the center.

since both chords are in the same circle (with the same radius), and they both have the same distance from the center, they can only be equally long, as there is no other element to name them different.

8.

the angle NPE is half of the angle NAE (= the arc angle NE).

the arc angle NE = 63×2 = 126°

the angle PET is half of the angle PAT (= the arc angle PT).

the arc angle PT = 19×2 = 38°

the arcs NP and ET cover the rest of the whole circle circumference (360°).

so, arc angle NP + arc angle ET = 360 - 38 - 126 = 196°

but arc angles NP and ET must be equal (as per the problem definition).

therefore, 2 equal arc angles = 196°

1 arc angle = NP = 196/2 = 98°

Step-by-step explanation:

the volume is 4/3 × pi × r^3

4/3 × 3 × 4^3

the volume is 256 cm cubed.

the radius is 4 cm.

Answer:

all numbers except √34

Step-by-step explanation:

the top three are whole numbers and therefore rational

Answer

Who is your school?

Who is your class?

Who is the chapter

Answer:

27.7% of third year girls study biology

The total earning of the month be $4325 .

We have given that the Max has a monthly salary of $1,100 and also

earns 7.5% commission on his sales.

When Max had $43,000 in sales last month .

He earns  7.5% is commission

We have convert it into  the decimal form.

[tex]\frac{7.5}{100}=0.075[/tex]

Commission Max earns = 0.075 × Total sales of the last month

Commission Max earns= 0.075 × 43000

Commission Max earns  = $ 3225

Total earning of a month = Monthly salary + Commission earning

Total earning of a month  = $1100 + $3225

Total earning of a month  = $ 4325

Therefore the total earning of the month be $4325 .

The Option (c) is correct.

To learn more about the total earning visit:

https://brainly.com/question/25623677

Answer:

12.75

Step-by-step explanation:

12.75

Answer:

24 percent

Step-by-step explanation:

Answer:

X= -27

Step-by-step explanation:

X+12= -15

X= -15 -12

X= -27