Find the quotient 16)4.88

Answer:

y = -5/4x + 7 1/4

Step-by-step explanation:

The difference in y (10) over the difference in x (8)

Answer:

Step-by-step explanation:

Given dimensions of

Find the lateral surface area of both figures

Find the ratio A/B

The function g(x) is a linear function, and the rate of change over the interval  -2 ≤ x ≤ 4 is 6

The function f is given as:

f(x) =6x - 4

When translated down by 6 units, the rule of translation is:

g(x) = f(x) - 4

So, we have:

g(x) = 6x - 4 - 4

Evaluate

g(x) = 6x - 8

The rate of change over -2 ≤ x ≤ 4 is then calculated using:

g'(x) = [g(b) - g(a)]/[b - a]

So, we have:

g'(x) = [g(4) - g(-2)]/[4 + 2]

Evaluate

g'(x) = [g(4) - g(-2)]/[6]

Calculate g(4) and g(-2)

g(4) = 6 * 4 - 8 = 16

g(-2) = 6 * -2 - 8 = -20

So, we have:

g'(x) = (16 + 20)/6

Evaluate

g'(x) = 6

Hence, the rate of change over the interval  -2 ≤ x ≤ 4 is 6

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Answer:

slope = - 4

Step-by-step explanation:

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (4, - 9 ) and (x₂, y₂ ) = 1, 3 )

m = [tex]\frac{3-(-9)}{1-4}[/tex] = [tex]\frac{3+9}{-3}[/tex] = [tex]\frac{12}{-3}[/tex] = - 4

Answer:

[tex]m=-4[/tex]; the slope is -4

Step-by-step explanation:

[tex]slope=\frac{rise}{run} =\frac{y^2-y^1}{x^2-x^1}[/tex]

coordinates: (4,-9) (1,3)

[tex]\frac{3-(-9)}{1-4}=\frac{-12}{-3} =-4[/tex]

= -4 is your answer

hope this helped

~rere

Answer:

[tex]-54m^{2} n^{2} p \sqrt{3n}[/tex]

Step-by-step explanation:

solved it using a software. check attachment for all the steps

Answer:

[tex]f(x)=2(x+4)^2-27[/tex]

Step-by-step explanation:

Complete the square

[tex]f(x)=2x^2+8x+5\\f(x)=2(x^2+8x+\frac{5}{2})\\f(x)+2(\frac{27}{2})=2(x^2+8x+\frac{5}{2}+\frac{27}{2})\\f(x)+27=2(x^2+8x+16)\\f(x)+27=2(x+4)^2\\f(x)=2(x+4)^2-27[/tex]

This tells us that the vertex of the parabola is [tex](-4,-27)[/tex].

The median is always at the center of the box, we can say the median of our question is also at the middle of the box.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

The description of the measures given has been done below and also what they indicate about the shape of the box and whisker plot have been given.

From the given data we see that;

Mean = 39,500

Median = 20000

Mode = 23000

Minimum = 15,000

Maximum = 255000

A general view of a box and whisker plot has been attached.

From the attached file, we can see the following;

- whiskers to the left and right of the box.

- The box starts from the lower quartile and stops at the upper quartile.

- The median is at the middle of the box

- The minimum is at the end of the left whisker

- The maximum is at the end of the right whisker.

1) Now, since median is always at the center of the box, we can say the median of our question is also at the middle of the box.

2) The median is 20000 but the minimum which is the end of the left whisker is 15000 while the maximum which is the end of the right whisker is 255000. This means the minimum is very close to the median and as such the left whisker would be very short. In contrast, the right whisker will be very long since the maximum is far larger than the median.

3) Since the right whisker is far larger than the left whisker, then we can say the shape of the box and whisker plot is heavily skewed to the right.

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Answer:

52 hours

Step-by-step explanation:

figure it out genius

An online store ships 15 orders every 5 hours. It will take approximately 52 hours to ship 156 orders at this rate.

Use the concept of ratio defined as:

A ratio indicates how many times one number contains another number. The ratio of two numbers is written as x : y, which is equivalent to x/y.

Where x and y are individual amounts of two quantities.

And, the Total quantity is given after combining as x + y.

Given that,

Online store ships packages at a rate of 15 orders every 5 hours.

We need to determine how many hours it will take to ship 156 orders.

The rate can be expressed as 15 orders per 5 hours or 15/5.

To figure this out,

Set up a proportion.

If the online store ships 15 orders every 5 hours,

Then the rate is 15 orders per 5 hours, or 15/5.

Now, let's set up the proportion:

15/5 = 156/x

To solve for x, cross multiply:

15x = 5(156)

Now, divide both sides of the equation by 15 to isolate x:

x =780/15

Calculating that out, x is equal to 52.

Hence, it will take approximately 52 hours to ship 156 orders at the given rate.

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Answer:

[tex]1.\; \boxed{\sf x=12^o}[/tex]

[tex]\sf 2.\;\boxed{\sf \angle 2=60^o}[/tex]

Step-by-step explanation:

1)

Since ∠1 and ∠ (7x-20) are corresponding angle.

So, ∠1 =∠ (7x-20)

and, ∠1 and ∠(5x+16) are vertically opposite angles.

- - - - -

S0...

[tex]\sf 4x+16=7x-20[/tex]

Subtract 16 from both sides.

[tex]\sf 4x=7x-36[/tex]

Subtract 7x from both sides.

[tex]\sf 4x-7x=7x-36-7x[/tex]

[tex]\sf -3x=-36[/tex]

Divide both sides by -3.

[tex]\sf \cfrac{-3x}{-3}=\cfrac{-36}{-3}[/tex]

[tex]\boxed{\sf x=12^o}[/tex]

- - - - - - - - - - -

2)

∠1 and ∠2 are corresponding angles.

S0,

[tex]\sf \angle 1=\angle 2=\boxed{\sf 60^o}[/tex]

- - - - - - - - - - - - - - - - - -

Additional info:-

Any pair of angles on the same side of one of two lines cut by a transversal and on the same side of the transversal are called corresponding angles.

Vertical angles are angles opposite each other where two lines cross.

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Answer:

x = 12

Step-by-step explanation:

The angles are equal as they are alternate exterior angles.

Solving :

⇒ 4x + 16 = 7x - 20

⇒ 7x - 4x = 16 + 20

⇒ 3x = 36

⇒ x = 12

Answer:

1 more.

Step-by-step explanation:

A regular octagon has 4 pairs.

A regular hexagon has 3 pairs.

Hope this helped.    :)

Answer:

41.25%

Step-by-step explanation:

Of the 80 digits generated, 33 of them are 0,1,2, or 3.

(Yup, I counted them)

So, 33/80 = 0.4125 = 41.25%

Answer:

95%

Step-by-step explanation:

Step 1: Find samples with 0, 1, 2 or 3.

Example: count 7918 it has a one

Example two: count 2546 it has a two

Step 2: Once all the samples with 0, 1, 2 or 3 are counted put it into a fraction.

Example: For this particular question there were 19/20 samples with numbers 0, 1, 2 or 3.

Step 3: Change the fraction into a percentage after that you will have your final answer.

The equation of the circle represented by the pizza is x^2 + y^2 = 4

The given parameters are:

Radius, r = 2

Center, (a,b)= (0,0) i.e. origin

The equation of the circle is calculated as:

(x - a)^2 + (y - b)^2 = r^2

This gives

(x - 0)^2 + (y - 0)^2 = 2^2

Evaluate the exponents

x^2 + y^2 = 4

Hence, the equation of the circle is x^2 + y^2 = 4

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Answer:

34,220

Step-by-step explanation:

Because order doesn't matter, but the numbers can't be repeated, we need to find the number of combinations where 3 individual numbers can be chosen out of 60 possible numbers using the binomial coefficient:

[tex]\binom{n}{k}=\frac{n!}{k!(n-k)!}\\ \\\binom{60}{3}=\frac{60!}{3!(60-3)!}\\\\\binom{60}{3}=\frac{60!}{3!(57)!}\\\\\binom{60}{3}=\frac{60*59*58}{3*2*1}\\ \\\binom{60}{3}=34220[/tex]

Thus, Elias can make 34,220 unique 3-number codes given 60 different numbers.

Answer:

  use a scale that starts at 0

Step-by-step explanation:

The graph is misleading because the vertical scale does not start at zero.

__

To better represent the brand relationship, the vertical axis should start at zero. The amounts differ by less than 1/2%, so the bars on that scale would appear to have virtually identical heights.

Answer:

4 litres.

Step-by-step explanation:

By proportion that would be:

1.5 * 8/3

= 12/3

= 4 litres.

Answer:

2664.8 miles left to drive

Step-by-step explanation:

4304 miles driven

subtract 1639.2 miles driven

total left is 2664.8 miles yet to drive

Answer:

[tex] \sqrt{29-12\sqrt{5} }[/tex]

[tex]\sqrt{9 - 12 \sqrt{5} + 4 \times 5}[/tex]

[tex]\sqrt{ {3}^{2} - 12 \sqrt{5} + {(2 \sqrt{5}) }^{2} }[/tex]

[tex]\sqrt{{(3 - 2 \sqrt{5} )}^{2}}[/tex]

[tex]{(3 - 2 \sqrt{5} )}[/tex]

Answer:

difference between town A and town B is 5.4 deg. celcius

Step-by-step explanation:

I added each row and divided by 5 to get the average for A and B

I subtracted the average

see attached picture showing the math

Answer:

the answer is 76.8

Step-by-step explanation:

multiple of the number

Answer:

-10 is the answer

Step-by-step explanation:

[tex]xy + 2y \\ putting \: the \: value \: of \: x \: and \: y \\ 3 \times ( - 2) + 2 \times ( -2 ) \\ - 6 - 4 \\ = - 10[/tex]

Answer:

your question is not complete

The standard deviation statistic should use to measure the spread of the two sets of data.

It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.

As we know, the shape of a normal curve is dictated by its mean and standard deviation, hence standard deviations are important.

Thus, the standard deviation statistic should use to measure the spread of the two sets of data of snowfall which is collected by the scientist.

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Answer:

See below

Step-by-step explanation:

Use this tool to plot
https://quickmath.com/webMathematica3/quickmath/graphs/inequalities/basic.jsp#form?v2=graph

The results are shown in the accompanying screenshots

Answer:

Step-by-step explanation:

According to Pythagorean theorem, the square value of hypotenuse (the side length that sees angle measure 90) is equal to sum of square value of two legs:

let x represent the missing length

x^2 + 3^2 = 7^2

x^2 + 9 = 49 subtract 9 from both sides

x^2 = 40 find the root for both sides

x = [tex]\sqrt{40}[/tex] or 6.3 inches approximately

Answer:

Length = 5/6 foot

Breadth = 1/3 foot

Area of rug = l×b

=5/6 × 1/3

= 5/18 Ft^2

Answer:

the answer is B.

Step-by-step explanation:

the formula for circumference of a circle is [tex]\pi[/tex]×diameter=C

[tex]\pi[/tex]·8=25.13

[tex]\pi[/tex]·4=12.56

12.56·2=25.13

Step-by-step explanation:

when you are on that level of math that you get this type of question - this is totally easy.

we get the extreme point(s) of a function by finding the zeros of the first derivative of the function.

f'(x) = 4x - 8

so,

0 = 4x - 8

8 = 4x

x = 2

to determine whether it is a minimum or a maximum, we have 2 choices :

the quick way for a quadratic (parabola) equation by looking at the factor of x² : is it >0, then the parabola opens up upwards, and the extreme point is therefore a minimum. if it is <0, then it opens downward, and the extreme point is a maximum.

in our case : 2 is larger than 0, therefore minimum.

or the formal way for any type of function : create the second derivative and see, if it is >0 (minimum) or <0 (maximum) for the extreme x.

in our case

f''(x) = 4

this is larger than 0 for all x, so the extreme point is a minimum.

The volume of the cylindrical jar, considering it's radius and height, is of 923 in³.

The volume of a cylinder of radius r and height h is given by:

[tex]V = \pi r^2h[/tex].

In which problem, we have that r = 4.7 in, h = 13.3 in, hence the volume in cubic inches is given by:

[tex]V = \pi \times 4.7^2 \times 13.3 = 923[/tex]

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