Verify whether:
p(x)= 3x+1 has x=-1/3 as a factor​

Answer:

  1. 125 cm³; 88.8 cm³; 1650 cm³; 0.11 m³

  2. about 1.47 kg

  3. can't tell what the volume of 1 jar is

Step-by-step explanation:

The relationship between volume, mass, and density is ...

  mass = volume × density

Solving for volume, we find ...

  volume = mass ÷ density

__

(a) 50 g/(0.4 g/cm³) = 125 cm³

(b) 770 g/(8.67 g/cm³) ≈ 88.8 cm³ . . . (rounded to 3 significant figures)

(c) 4000 g/(2.42 g/cm³) ≈ 1650 cm³ . . . (rounded to 3 significant figures)

(d) 80 kg/(720 kg/m³) ≈ 0.11 m³ . . . (rounded to 2 significant figures)

_____

The volume of the cylinder is ...

  V = πr²h

  V = π(4 cm)²(15 cm) = 240π cm³ ≈ 754.0 cm³

Using the above relation, we find the mass to be ...

  mass = (754.0 cm³)(1.95 g/cm³) ≈ 1470 g = 1.47 kg

_____

We cannot tell if the volume of each jar is 360 liters, or if that is the total volume of all 6 jars. Either way, we suspect a units problem, as the jars would have to be extremely large and unusually thin relative to what we usually think of as a jar for jam (0.77 m diameter; 0.2 mm thick). The density of the jam would be roughly 10 times the density of air, if that is the volume of all 6 jars. The problem would be more sensible if the units of volume were mm³, and the given volume is that of one jar.

The mass of jam in one jar is (5400/6 -200) = 700 g. Divide that by what you think the volume of one jar is in cm³ to find the density in g/cm³. (For comparison, the density of air is about 0.0012 g/cm³.)

_____

Additional comment

We have rounded the answers to 2 or 3 significant figures. In most cases, this is more than would be justified by the number of significant figures in the given measurements. For purposes of ongoing calculations, it is useful to keep intermediate results to at least 1 more significant figure than required for the answer.

Answer:

[tex]y \leqslant -x + 1[/tex]

Step-by-step explanation:

First write the equation of the line with either inequality sign, like so:

[tex]y \geqslant -x + 1[/tex]

Then check to see if the equation is true. The easiest way to do this is to plug the coordinates (0,0) into the equation:

[tex]0 \geqslant -0 + 1 \\ 0 \geqslant 1[/tex]

Since 0 > 1 is false, you know that the correct inequality must be:

[tex]y \leqslant -x + 1[/tex]

If you want to check this, plug the coordinates (0,0) into the equation:

[tex]0 \leqslant -0 + 1 \\ 0 \leqslant 1[/tex]

Since 0 < 1 is true, you know this equation is correct.

I hope that helped! If I made a mistake, just let me know.

Answer:

The answer is (x, y) = (x + 3, y-5)

Step by step explanation:

So y is the up and down axis while x it the side to side axis, so for y it would be 5 down (-5) and for x it would be 3 to the right (3).

Your Welcome. :)

Answer:

-48

Step-by-step explanation:

-6=x/8

-6×8=x

x=-48

What is the solution to the equation? −6 = x/8 Enter your answer in the box. x = ?


The solution to the equation is: -48

------------Verified Commentry from a K12 Representitive------------

Answer:

Step-by-step explanation:

1. 132+0.11

2. Answer is 1200

Entering it in Your Calculator

(132 Divided by 0.11)

= 1200

Answer:

A. 2 units

Step-by-step explanation:

took the test and got it right

The radius of the circle is r = 2 units

A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The circumference of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle.

The equation of circle is ( x - h )² + ( y - k )² = r²

For a unit circle , the radius r = 1

x² + y² = r² be equation (1)

Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )

Given data ,

Let the equation of the circle be represented as A

Now , the value of A is

( x - 7 )² + ( y - 10 )² = 4

The equation ( x - 7 )² + ( y - 10 )² = 4 represents a circle in standard form, where the center of the circle is located at the point (7, 10) and the radius is the square root of the number on the right side of the equation

Taking the square root of 4, we find that the radius of the circle is 2 units

Hence , the radius is r = 2 units

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Answer:

[tex]\frac{29}{40}[/tex]

72.5% As a Fraction

= [tex]\frac{0.725*1000}{1*1000}[/tex]

=[tex]\frac{725}{1000}[/tex]

=[tex]\frac{725/25}{1000/25}[/tex]

=[tex]\frac{29}{40}[/tex]

:) I hope this helped you

Answer: As a fraction it is  145/2 and as a mixed number it is 72 1/2

Step-by-step explanation:

First write down the number like this, 72.5/1

Then multiply each number by ten like this, 72.5 x 10 = 725

And 1 x 10 = 10 and write that as a fraction like this, 725/10

Next do 725 divided by 5 = 145 and 10 divided by 5 = 2

And put that in a fraction like this 145/2

That is the fraction of 72.5%

As a mixed number you put the 72 as a whole number and 1/2 because 5 represents a half

I hope this is helpful

Answer: there you go

Step-by-step explanation:

Answer:

3/10

Step-by-step explanation:

0.4 - 0.1 = x

there are two ways I can find the answer to this question.

Option 1

0.4 - 0.1 = 0.3 then turn it into a fraction which would be 3/10

or I can turn both into fraction and subtract them

4/10 - 1/10 = 3/10

Both ways would give you the same answer!

I hope this helps!!

Please tell me if I have made any mistakes I enjoy learning form them:)

The value of 0.4 - 0.3 = 0.1 and the fractional form is 3/10

What is a Fraction?

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

Given data ,

Let the equation be A = 0.4 - 0.1

The value of A = 0.4 - 0.1

                         = 0.3

A = 0.3

Multiply by 10 on both sides , we get

10A = 3

Divide by 10 on both sides , we get

A = 3/10

Hence , the fractional form of 0.3 is 3/10

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Answer:

Terminating

Step-by-step explanation:

A terminating decimal (0.1) ends and does not continue

A repeating decimal (0.11111...) continues infinitely

Answer:

The answer is x=6

c: 782 dollars

.15 times 17 is 2.55

17+2.55= 19.55

19.55 times 40=782

We know that

l² = r² + h²

l² = (10.5)² + (36)²

l² = 110.25 + 1296

l² = 1406.5

l = √(1406.5)

l = 37.5 cm

Now,

CSA of cone = πrl

=> 22/7 × 10.5 × 37.5

=> 22 × 1.5 × 37.5

=> 1237.5 cm²

Area of 20 caps = 20 × 1237.5

=> 24750 cm²

Answer:

24740 cm²

Step-by-step explanation:

First let us find the slant height (l) of the corn

l²  =  r²  +  h²

l²  =  (10.5)² + (36)²

l²  =  110.25 +  1296

l²  =  1406.25

l  =  √1406.25

l  = 37.5 cm

Now let us use this formula to find the area of a corn

π r l

π × 10.5 × 37.5

1237.00 cm²

And now let's find the area of 20 caps or corns

1237.00 × 20

24740 cm²

Hope this helps you :-)

Answer:

8 minutes or 480 seconds

Step-by-step explanation:

1 km = 1000 m

100x20=2000

24 x 20 = 480

480/60 = 8

Answer:

Step-by-step explanation:

Answer:

D)

Step-by-step explanation:

100 - 32 + 24/4 * 2

100 - 32 + 6 * 2

100 - 32 + 12

100 - 32 + 12 = 80

Answer:

your answer would be C.

Step-by-step explanation:

even though it looks like you would do 24/4 you would actually multiply first. you would multiply 4 by 2 and then you would divide and then add and then subtract. You could use PEMDAS here again. since there's no parentheses and no exponents then you multiply and then divide and then go on to add and then subtract.

also sorry for the late response my data didn't want to work because I currently in school

Answer:

Its d 5/10

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

Step-by-step explanation:

equation for tiger shark:

for each additional year, it grows by 2.5 cm so that would be shown as 2.5x. also it starts at 55 so you would have to add 55 to that 2.5x.

the equation would be y = 2.5x + 55

equation for hammerhead:

do the same process with the other numbers. this would be

y = 5x + 25

solve with elimination:

subtract the two equations, which would eliminate the y variable

y = 5x + 25

- (y = 2.5x + 55)

you get

0 = 2.5x - 30

solve that for x

2.5x = 30

x = 12 years

so the years that have passed is 12. to find the length, plug in x = 12 into one of the equations:

y = 5x + 25 becomes y = 5 * 12 + 25 = 60 + 25 = 85

so they will be 85 cm long each.

Use the multinomial theorem to compute some polynomial expansions:

(a + b + c)² = a² + b² + c² + 2 (ab + ac + bc)

(a + b + c)³ = a³ + b³ + c³

… … … … … … + 3 (a²b + a²c + ab² + b²c + ac² + bc²)

… … … … … … + 6 abc

(a + b + c)⁴ = a⁴ + b⁴ + c⁴

… … … … … … + 4 (a³b + a³c + ab³ + b³c + ac³ + bc³)

… … … … … … + 6 (a²b² + a²c² + b²c²)

… … … … … … + 12 (a²bc + ab²c + abc²)

Now, given that

a + b + c = 4

a² + b² + c² = 10

it follows that

ab + ac + bc = (4² - 10)/2 = 3

We use this result to simplify the extra terms in the 3rd-degree expansion.

a²b + a²c + ab² + b²c + ac² + bc²

= a (ab + ac) + b (ab + bc) + c (ac + bc)

= a (ab + ac + bc) + b (ab + ac + bc) + c (ab + ac + bc) - 3abc

… … I underline the terms that are added and subtracted … …

= (a + b + c) (ab + ac + bc) - 3abc

= 4 • 3 - 3abc

= 12 - 3abc

Given that

a³ + b³ + c³ = 22

this tells us that

4³ = 22 + 3 (12 - 3abc) + 6abc

4³ = 58 - 3abc

and so

abc = (4³ - 58)/(-3) = -2

from which it follows that

a²b + a²c + ab² + b²c + ac² + bc² = 12 - 3 • (-2) = 18

Now we similarly simplify the extra terms in the 4th-degree expansion.

a³b + a³c + ab³ + b³c + ac³ + bc³

= a² (ab + ac) + b² (ab + bc) + c² (ac + bc)

= a² (ab + ac + bc) + b² (ab + ac + bc) + c² (ab + ac + bc) - a²bc - ab²c - abc²

= (a² + b² + c²) (ab + ac + bc) - (a²bc + ab²c + abc²)

= 10 • 3 - (a²bc + ab²c + abc²)

which means

4⁴ = a⁴ + b⁴ + c⁴

… … … … … … + 4 (30 - a²bc - ab²c - abc²)

… … … … … … + 6 (a²b² + a²c² + b²c²)

… … … … … … + 12 (a²bc + ab²c + abc²)

reduces to

136 = a⁴ + b⁴ + c⁴

… … … … … … + 6 (a²b² + a²c² + b²c²)

… … … … … … + 8 (a²bc + ab²c + abc²)

Now, we know a + b + c = 4 and abc = -2, so we have

a²bc + ab²c + abc² = abc (a + b + c) = -2 • 4 = -8

and so

136 = a⁴ + b⁴ + c⁴ + 6 (a²b² + a²c² + b²c²) + 8 • (-8)

200 = a⁴ + b⁴ + c⁴ + 6 (a²b² + a²c² + b²c²)

Finally, we know that ab + ac + bc = 3. Squaring this gives

(ab + ac + bc)² = 3²

a²b² + a²c² + b²c² + 2 (a²bc + ab²c + abc²) = 9

but we also know that a²bc + ab²c + abc² = -8, so

a²b² + a²c² + b²c² + 2 • (-8) = 9

a²b² + a²c² + b²c² = 25

Therefore, we end up with

200 = a⁴ + b⁴ + c⁴ + 6 • 25

⇒   [[[   a⁴ + b⁴ + c⁴ = 50   ]]

Answer:

x = 15°

Step-by-step explanation:

These angles form a linear

4x - 17 + 137° = 180°

4x - 17 = 43°

4x = 60°

x = 15°

Answer:

6 days

Step-by-step explanation:

2 boys that each work half as fast as the men is equivalent to having one extra man. So instead of 3 men we have 4. 4/3 the manpower means 3/4 the time. 3/4 of 8 is 6.

Answer:

6 days.

Step-by-step explanation:

The 3 men can build 1/8 of a wall in 1 day.

So 1 man can build 1/24 wall in 1 day.

So 1 boy can build  1/48 in 1 day and 2 boys can build 1/24 wall in 1 day.

So we have the equivalent of  4 men working and they can build 4 * 1/24

= 1/6 of a wall per day

So the answer is 6 days.

Answer:

 8A + 11A  = A(19)

Step-by-step explanation:

   8A + 11A

 = A(8 + 11)                      Factor out the common factor A

= A(19)

Answer:

y= 4x+3

Step-by-step explanation:

To write your equation, solve for the slope.

(y2-y1)/ (x2-x1)

Find two coordinate points from the table.

(0,3) (1,7)

(7-3)/ (1-0)= 4

m=4

Use point-slope equation to find your equation.

(y-y1)=m(x-x1)

(y-3)=4(x-0)

y-3= 4x

y= 4x+3

Step-by-step explanation:

For #1, if it says + you add the number of hours. Ex: Time in UTC 0 is 12:00, time in +3 is then 15:00 (3pm).

The same vice versa. Ex: Time in UTC 0 is 16:00 (4pm), in -2 it will be 14:00 (2pm).

For #2, +4 will be Friday at 22:00 (10pm) and for +7 it will be Saturday 1:00 (1am) etc.

Same for the - but it goes backwards

Hope that helps

Answer: JGI

Step-by-step explanation:

An adjacent angle are angles that share a vertex and side. FGI and JGI share the vertex G and the segment GI

Have a good day!

Answer:

x^5/4

Step-by-step explanation:

The first one

Answer:

7.40 for 5 liters

Step-by-step explanation:

2.98/2= 1.49

7.40/5= 1.48

Hope this Helps  :)

Can u mark me the  brainliest

Answer:

x=6

Step-by-step explanation:

x/-2=-3

*-2    *-2

x=6

-hope it helps

Answer:

73

Step-by-step explanation:

Bob

20-4=16

Billy 20+69=89

89-16=73