A small child weighs 60N. If mommy left him sitting on the top of stairs, which are 10 m high, how much energy does the child have?

Answer:

Step-by-step explanation:

No, They do not.

Answer:

All sides of a parallelogram have the same length.

Step-by-step explanation:

A parallelogram can have one pair or two pairs of parallel sides. All sides of a parallelogram have the same length. All angles of a parallelogram have the same measure.

The average number of miles he would have to ride each day to meet his goal is 8 miles

From the question, we are to write an equation that can be used to determine m, the average number of miles he would have to ride each day to meet his goal

From the given information,

Landon wants to ride his bicycle 36 miles this week and he has already ridden 4 miles.

The average number of miles, m, he would have to ride for 4 more days to meet his goal is

m = (36-  4)/4

This is the equation that can be used to determine m, the average number of miles he would have to ride each day to meet his goal

Now, determine m

m = (36 - 4)/4

m = 32/4

m = 8

Hence, the average number of miles he would have to ride each day to meet his goal is 8 miles

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Expression as a single natural logarithm. 1/3(ln x+ln y)-4 ln z is

[tex]ln( xy^{1/3})[/tex] -[tex]ln (z^{4} )[/tex]

[tex]ln (xy^{1/3} /z^{4} )[/tex]

The inverse of an exponential function, the natural log is the logarithm to the base of the number e. Natural logarithms are unique varieties of logarithms that are employed in the treatment of time and growth-related issues.

The distinction between log and ln is that log is expressed in terms of base 10, while ln is expressed in terms of base e. As an illustration, log of base 2 is denoted by log2 and log of base e by loge = ln (natural log).

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When all the four operations namely addition, subtraction, multiplication and division are involved in a problem, we perform the operations in the following sequence from left to right i.e. division, multiplication, addition and subtraction, remember the order as DMAS.

Easy and simple way to remember PEMDAS rule!!

P → Parentheses first

E → Exponent (Powers, Square Roots, Cube Roots, etc.)

MD → Multiplication and Division (start from left to right)

AS → Addition and Subtraction (start from left to right)

Note:

(i) Start Multiply/Divide from left side to right side since they perform equally.

(ii) Start Add/Subtract from left side to right side since they perform equally.

For Example; (7 + 8) × 3

First solve inside ‘parentheses’ 7 + 8 = 15, then 15 × 3 = 45.

Next solve the mathematical 'Exponent'.

For Example; 32+ 5

First solve ‘exponent’ part 32= 3 × 3 = 9, then 9 + 5 = 14.

Next, the part of the equation is to calculate 'Multiplication' and 'Division'.

We know that, when division and multiplication follow one another, then their order in that part of the equation is solved from left side to right side.

For Example; 21 ÷ 7 × 12 ÷ 2

‘Multiplication’ and ‘Division’ perform equally, so calculate from left to right side. First solve 21 ÷ 7 = 3, then 3 × 12 = 36, then 36 ÷ 2 = 18.

In the last part of the equation is to calculate 'Addition' and 'Subtraction'. We know that, when addition and subtraction follow one another, then their order in that part of the equation is solved from left side to right side.

For Example; 9 + 11 - 13 + 15

‘Addition’ and ‘Subtraction’ perform equally, so calculate from left to right side. First solve 9 + 11 = 20, then 20 - 13 = 7 and then 7 + 15 = 22.

These are simple rules need to be followed for simplifying or calculating using PEMDAS rule.

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Answer:

28 = x

Step-by-step explanation:

We have two similar triangles.  The ratio of the sides must be in the same proportion

12           8

------- = -------

x-7         14

Using cross products

12 * 14 = 8(x-7)

168 = 8(x-7)

Divide each side by 8

168/8 = 8(x-7)/8

21 = x-7

Add 7 to each side

21+7 = x-7+7

28 = x

The number of hours the fifteen people took to clean the cars is 4 hours.

Given that, on Monday, 12 people took 5 hours to clean a number of cars. On Tuesday, 15 people cleaned the same number of cars.

The rate of doing work is equal to the rate of using energy since the force transfers one unit of energy when it does one unit of work.

Assuming that all the people worked at the same rate, work out how many hours the 15 people took to clean the cars.

Now, based on the given conditions, formulate 12 × 5 ÷ 15

= (12 × 5) ÷ 15

= 60 ÷ 15

= 4 hours

Therefore, the number of hours the fifteen people took to clean the cars is 4 hours.

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The percentage of the students who go to the movies twice a month or less and the percentage of the students that prefer comedies

40%

74%

This is further explained below.

Generally, the equation for is  mathematically given as

(a) Total number of students =200

Number of students who prefer action movies twice a month or less =60 Triceamonth or more =20

Therefore students prefer action makes =(60+20)/200

[tex]=\frac{\theta \phi}{200} 100\%[/tex]

=40%

(b) Number of students who go to movies twice a month er less,

For action =6o

For comely 88

Therefore % of students go to the movies twice a month or less -[tex]\left(\frac{60+80}{200}\right) \times 100 \%=(80+44)[/tex]$.

=74%

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Answer:

(C) is correct.

Step-by-step explanation:

-12.8308

- as you can see this is a terminating decimal, with last digit = 8.

Answer:

[tex]5 \dfrac{2}{3}\; \textsf {pounds}[/tex]

Step-by-step explanation:

Each dig gets 17/3 lbs of dog food

173 = 5 2/3

Answer:

0.3456432 repeating

Step-by-step explanation:

divide both numbers and then multiply.

Answer: 5/14 is the answer

Step-by-step explanation:

4/7 * 5/8 = 5/14 first you multiply 4 and 5 which equals 20, then you multiply  7 and 8 which is 56 so now you have 20/56 after that you simplify and divide by 4 so 20/4 is 5 and 56/4 is 14 that makes it 5/14

he spends 86 dollars, thus 100-86=14

your answer is 14

The concentration of hydrogen ions in seawater is 3.126 × 10⁻⁶ mol / dm³.

The pH level of seawater is 8.5.

If the pH is 8.5, and If the pH is 8.5, Assuming that this is measured under normal circumstances, we can apply the following relationship:

pH + pOH = pK_(w)

At 25 degrees Celcius, pK_(w) = 14

Where K_(w) is the dissociation constant for water = 1.0 × 10⁻¹⁴,

(At 25° C) but pK_(w) is the negative logarithm of K_(w).

pK_(w) = − log₁₀[ K_(w) ]

From this, we can convert pH, the measure of H₃O⁺ ions, into pOH, the measure of OH⁻ ions in the seawater:

pH + pOH = 14

8.5 + pOH = 14

pOH = 14 - 8.5

pOH = 5.5

Now,

pOH = − log₁₀[ OH⁻ ]

10^{−pOH} = [ OH⁻ ]

So,

10⁻⁵·⁵ = [ OH⁻ ] ≈ 3.126 × 10⁻⁶ mol / dm³

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Answer:

[tex]\frac{8}{27}[/tex]

Step-by-step explanation:

[tex]\frac{9}{4} ^{-\frac{3}{2} }[/tex]

reciprocate to remove the minus sign

[tex]\frac{4}{9} ^{\frac{3}{2} }[/tex]

take square root to remove the 2

[tex]\sqrt({\frac{4}{9}) ^{3} }[/tex]

[tex](\frac{2}{3} )^{3}[/tex]

[tex]\frac{8}{27}[/tex]

hope this helped :)

The histogram based on the data distribution where sample mean is less than sample median, the histogram would be skewed to the left.

Histogram is a type of visual (graphical) representation a set of data arranged in a user specific range. It is used summarize data – both discrete and continuous, measured on a interval scale.

When a data whose mean value or average value is less than the median or middle term in an ordered set is represented by a histogram, the shape of the histogram would be skewed to the left. Most of the data in such a histogram will be on the right side of the graph.

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Step-by-step explanation:

5 minus 5 is 0,then 3 minus 2 is 1,therefore the answer is 1xy

Time taken by the copier to copy 60 color pages and 35 black and white pages is 3.7 minutes ( Option I ).

Given,

Time taken to copy pages ⋉ The number of pages being copied

Number of colour pages that can be copied in 1 minute = 21

Number of black and white pages that can be copied in 1 minute = 35

To find : Time taken by the copier to copy 60 color pages and 35 black and white pages

Given options :

(F) 0.9 minute (H) 2.9 minutes(G) 2.5 minutes (I) 3.7 minutes

Time taken by the copier to copy 60 colour pages

= 60 * 1 / 21 = 60 / 21 = 2.857 minutes

Time taken by the copier to copy 35 black and white pages

= 35 * 1 / 40 = 35 / 40 = 0.875 minutes

Total time taken by the copier to copy 60 color pages and 35 black and white pages

= 2.857 + 0.875 = 3.732 minutes

Therefore, time taken by the copier to copy 60 color pages and 35 black and white pages as 3.7 minutes.

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The answer for the given logarithmic function is 5/2

Logarithm is a mathematical tool used to make high value calculations simple.

It is the exponent to the power of which a number must be raised to give a certain result.

Some of the important formulas in logarithm are:

loga where a is considered as base of the logarithm and b is the argument

is given as nlogab

when base and the argument is same , log is given as 1

logabc where a is the base is given as logab+logc

loga b/c where a is the base is given as logab-logac

Now it is given to us to find the value of log₄32

where 4 is the base and 32 is the argument

We know that logₐb can be written as log₂b/log₂a

using this identity of logarithm,

our question becomes log₂32/log₂4

32 = 2x2x2x2x2 which is

hence  can be written as 2^5

Thus the logarithmic function becomes

log₂2^5/log₂2^2=5log₂2/2log₂2

thus it becomes 5/2

Aa log2/log2 becomes 1

Thus log₄32= 5/2

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keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

[tex]y = \stackrel{\stackrel{m}{\downarrow }}{\cfrac{2}{3}}x+4\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}}{\stackrel{slope}{\cfrac{2}{3}}~\hfill \stackrel{reciprocal}{\cfrac{3}{2}}~\hfill \stackrel{negative~reciprocal}{-\cfrac{3}{2}}}[/tex]

so, we're really looking for the equation of a line whose slope is -3/2 and that it passes through (2 , -6)

[tex](\stackrel{x_1}{2}~,~\stackrel{y_1}{-6})\hspace{10em} \stackrel{slope}{m} ~=~ - \cfrac{3}{2} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-6)}=\stackrel{m}{- \cfrac{3}{2}}(x-\stackrel{x_1}{2}) \implies y +6= -\cfrac{3}{2} (x -2) \\\\\\ y+6=-\cfrac{3}{2}x+3\implies y=-\cfrac{3}{2}x-3[/tex]

The equation will be 3 y = 2 x + 12 for the graph given.

We are given a graph of the equation.

We need to find the equation of the graph.

Now, first we will see the x and y intercept of the graph.

So, we get that:

x intercept:

( - 6 , 0)

y intercept:

(0 , 4)

Now, we know that equation of the line is given by:

y = a x + b    … (1)

Put the points in the equation:

for (-6 , 0)

0 = - 6 a + b

6 a = b     … (2)

for (0 , 4)

4 = b

Put in (2)

6 a = 4

a = 4 / 6

a = 2 / 3

Put in equation (1):

y = 2 / 3 x + 4

y = ( 2 x + 12 ) / 3

3 y = 2 x + 12

Therefore, we get that, the equation will be 3 y = 2 x + 12 for the graph given.

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Based on the given parameters, the explicit rule of the sequence is b(n)= 2^n

The given parameters are

b(1) = 2

b(n) = 2 * b(n - 1) for n >= 2

Calculate b(2) and b(3) using the above equation

When n = 2, we have

b(2) = 2 * b(2 - 1)

This gives

b(2) = 2 * b(1)

So, we have

b(2) = 2 * 2

Evaluate

b(2) = 4

When n = 3, we have

b(3) = 2 * b(3 - 1)

This gives

b(3) = 2 * b(2)

So, we have

b(3) = 2 * 4

Evaluate

b(3) = 8

So, the sequence is

2, 4, 8.....

The above sequence is a geometric progression

The common ratio (r) is calculated as

r = b(2)/b(1)

So, we have

r = 4/2

Evaluate

r = 2

The explicit rule of the sequence is calculated as

b(n)= b(1) * r^n-1

So, we have

b(n)= 2 * 2^n-1

Evaluate

b(n)= 2^n

Hence, the explicit rule of the sequence is b(n)= 2^n

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Possible question

Calculate the explicit rule of the sequence

b(1)=2, b(n)=2⋅b(n−1)−1 for n≥2.

Answer: -0.7

Step-by-step explanation:

Answer:

-0.7

Step-by-step explanation:

Answer:

166 degrees

Step-by-step explanation:

So first we need to find the angles in the triangle. One of the angles is 83 degrees since it's 180-97. Since the triangle is isosceles, the angle 'on top' of it is also 83 degrees. To find the last angle, you do 180-83-83, which is 14 degrees. To find x, you need to subtract 14 from 180, which is 166 degrees

Answer:

Step-by-step explanation:

if f(x)=2x-4

then f(n+5)= 2(n+5)-4

                 =2n+10-4
                 =2n+6

The lowest common multiple of 4 and 6 is 12

The lowest common multiple of 3 and 7 is 21.

The lowest common multiple of 5 and 10 is 10.

The lowest common multiple of 6 and 9 is 18.

The lowest common multiple of 4 and 6:

Multiple of 4 = 4 , 8, 12, 16, 20.

Multiple of 6 = 6, 12, 18, 24, 30

The lowest common multiple of 3 and 7:

Multiple of 3 =3, 6, 9, 12, 15, 18, ,21

Multiple of 7 = 7, 14, 21

The lowest common multiple of 5 and 10:

Multiple of 5 = 5, 10,

Multiple of 10 = 10, 20

The lowest common multiple of 6 and 9:

Multiple of 6 = 6, 12, 18, 24.

Multiple of 9 = 9, 18, 27

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Answer:

x=5+4

x=9

hope this helps

Answer:

0.2075

Step-by-step explanation:

Or $0.2075 per oz

Step-by-step explanation:

the perimeter of a rectangle is

2×length + 2×width

now we also know that

length = 1/3 × width + 5

so, when we bring this into the main equation for the perimeter :

2× (1/3 × width + 5) + 2×width

2/3 × width + 10 + 2×width

2/3 × width + 10 + 6/3 × width

8/3 × width + 10

Answer:

Inverse property

Step-by-step explanation:

3/4 is the reciprocal of 4/3 which means they would cancel each other out. So you would only be left with x=x

Answer: Not the solution

Step-by-step explanation: