Find the median and mean
40, 4, 12, 15, 45, 16

Answer

To solve the equation, factor x

2

−7x+12 using formula x

2

+(a+b)x+ab=(x+a)(x+b). To find a and b, set up a system to be solved.

a+b=−7

ab=12

Since ab is positive, a and b have the same sign. Since a+b is negative, a and b are both negative. List all such integer pairs that give product 12.

−1,−12

−2,−6

−3,−4

Calculate the sum for each pair.

−1−12=−13

−2−6=−8

−3−4=−7

The solution is the pair that gives sum −7.

a=−4

b=−3

Rewrite factored expression (x+a)(x+b) using the obtained values.

(x−4)(x−3)

To find equation solutions, solve x−4=0 and x−3=0.

x=4

x=3

Step-by-step explanation:

The area of the rhombus with length of diagonals 12 cm and 12 cm is 72 centimetre squared.

The area of a rhombus can be represented mathematically as follows:

area of a rhombus  = ab / 2

where

a = 6 + 6 = 12 cm

Therefore, let's find b

tan 45 = opposite / adjacent

tan 45 = 6 / x

x = 6 / tan 45

x = 6 / 1

x = 6

b = 6 + 6 = 12 cm

Therefore,

area = 12 × 12 / 2

area = 144 / 2

area = 72 cm²

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Answer:

y=e^x - 4

Step-by-step explanation:

The log functions decrease with increasing x.  The line shown increases as x increases, so it must be one of the two e^x equations.  We can decide which one by calculating which equation povides the correct values to match the two points the curve crosses the y and x axes.

The graph shows the line crossing the y axis at -3 (0,-3)

It shows it crossing the x axis at a little over 1, perhaps 1.4 (1.4,0).  

When x=0, e^0 = 1.  

Look at the point (0,-3):  

We know the e term will be 1 (e^0 = 1), so for y to be -3, we need to subtract 4:  The form e^x - 4  would yield a value for y, when x is 0, of y = 1 - 4 or -3.

Check the other point (1.4,0):

y = e^1.4  is equal to 4.00

y = 4.00 - 4

y = 0

This point is also correct (1.4,0)

The correct equation is y=e^x - 4

Answer:

b = 10 ft , h = 6 ft

Step-by-step explanation:

the area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

let base = b theh height h = b - 4

given A = 30 , then

[tex]\frac{1}{2}[/tex] b(b - 4) = 30 ( multiply both sides by 2 to clear the fraction )

b(b - 4) = 60 ← distribute parenthesis on left side by b

b² - 4b = 60 ( subtract 60 from both sides )

b² - 4b - 60 = 0

(b - 10)(b + 6) = 0

equate each factor to zero and solve for b

b - 10 = 0 ⇒ b = 10

b + 6 = 0 ⇒ b = - 6

however, b > 0 , then b = 10

and h = b - 4 = 10 - 4 = 6

then base is 10 ft and height is 6 ft

Answer:

90.125

Step-by-step explanation:

Answer:

Step-by-step explanation:

19.125

[tex]\huge\mathcal{\fbox{\fbox\red{Hello}}}[/tex]

[tex]\large\underline{\mathbb{AnSwEr}:}[/tex]

10:45 am to 11:00 am : 15 minutes

11:00 am to 12:00 pm= 1 hour

Total Time= 1 hour 15 minutes.

so he was 1 hour 15 minutes at the park.

went at 10:45 AM

left at 12:PM

the duration he was at the park.

( to find the duration just find the difference of the time he left and went.

= 1 hour 15 mins.

therefore, he was at the park for 1 hour 15 mins.

Answer:

I think it would be B

Step-by-step explanation:

Because if you look at it neither of the x or y's are the same and if you multiply the second equation by 2 than you would have the same y in both problems which is 4y

Answer:

[tex]C=30.536\ ft[/tex]

Step-by-step explanation:

Step 1:  Determine the radius

[tex]A = \pi *r^2[/tex]

[tex]74.2\ ft^2=\pi *r^2[/tex]

[tex]\frac{74.2\ ft^2}{\pi }=\frac{\pi *r^2}{\pi }[/tex]

[tex]23.619\ ft^2=r^2[/tex]

[tex]\sqrt{23.619\ ft^2}=\sqrt{r^2}[/tex]

[tex]4.8599\ ft=r[/tex]

Step 2:  Determine the circumference

[tex]C=2*\pi *r[/tex]

[tex]C=2*\pi *4.8599\ ft[/tex]

[tex]C=30.536\ ft[/tex]

Answer:  [tex]C=30.536\ ft[/tex]

Answer:

Slope = -4

Step-by-step explanation:

Given:

Rate of change (Slope) formula:

[tex]\text{Slope} = \dfrac{\text{Rise}}{\text{Run}} = \dfrac{\text{y}_{2} - \text{y}_{1}}{\text{x}_{2} - \text{x}_{1} }[/tex]

Where:

Substitute the coordinates of the given points in the formula to determine the slope of the line (Rate of change).

[tex]\implies \text{Slope} = \dfrac{(-18) - (-10)}{8 - 6 }[/tex]

Finally, let's simplify the fraction on the right hand side as needed.

[tex]\implies\text{Slope} = \dfrac{(-18) + 10}{8 - 6 }[/tex]

[tex]\implies \text{Slope} = \dfrac{-8}{2 } = -4[/tex]

Therefore, the slope of a line that passes through (6 , -10 ) and (8, -18) is -4.

Answer:

153.94 mm^2

Step-by-step explanation:

area of base = area of a circle = Pi * radius squared

radius squared = 49

area of base =  Pi * 49

area of base =  153.94

Answer:

what exactly are you looking for?

Step-by-step explanation:

Assuming the percent of the dealer's cost is 92% and the percent of dealer's options cost is 88%, The car's sticker price is: $17,644.76 and the dealer price is $16,246.72.

a. Car's sticker price:

Using this formula

Car's sticker price=Base price+Options cost+Destination charge

Let plug in the formula

Car's sticker price=$16,558. 16 + $611. 60+$475. 00

Car's sticker price=$17,644.76

b. Dealer price:

Dealer's price=Percent of base price+Percent of options cost+Destination charge

Let plug in the formula

Dealer price=16,558. 16+$611. 60+$475.00

Dealer price=$16,246.7152

Dealer price=$16,246.72 (Approximately)

Inconclusion  the car's sticker price is: $17,644.76 and the dealer price is $16,246.72.

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option B

hope it helps...!!!

Answer:

2y

Step-by-step explanation:

[tex](-2)(-y) = (-1)(2)(-1)(y) = (-1)^2\ccdot 2y = 2y[/tex]

Answer:

for every 21 votes for A there were 6 for b or 9 for c

Step-by-step explanation:

63 divided by 3

18 divided by 3

27 divided by 3

Answer: the ratio is 6:4

Step-by-step explanation:

the amount of large bones is 4 so:4 and the number of small bones is 6 so  6:

so the answer is 6:4

Answer:

3:2

Step-by-step explanation:

4/2=2

6/2=3

find the common factor which is 2, divide both by 2

please mark me brainest

Answer:

Yes, at positive x coordinates

Step-by-step explanation:

Find the equation of g(x)

Given ordered pairs of g(x):  (-1, -22)  (0, -20)  (1, -18)

[tex]\sf let\:(x_1,y_1)=(0,-20)[/tex]

[tex]\sf let\:(x_2,y_2)=(1,-18)[/tex]

[tex]\sf slope\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-18-(-20)}{1-0}=2[/tex]

Point-slope form of linear function: [tex]\sf y-y_1=m(x-x_1)[/tex]

[tex]\implies \sf y-(-20)=2(x-0)[/tex]

[tex]\implies \sf y=2x-20[/tex]

Substitute the equation of g(x) into the equation of the circle and solve for x

Given equation:  [tex]y^2+x^2=100[/tex]

[tex]\implies (2x-20)^2+x^2=100[/tex]

[tex]\implies 4x^2-80x+400+x^2=100[/tex]

[tex]\implies 5x^2-80x+300=0[/tex]

[tex]\implies x^2-16x+60=0[/tex]

[tex]\implies x^2-10x-6x+60=0[/tex]

[tex]\implies x(x-10)-6(x-10)=0[/tex]

[tex]\implies (x-6)(x-10)=0[/tex]

Therefore:

[tex](x-6)=0 \implies x=6[/tex]

[tex](x-10)=0 \implies x=10[/tex]

So the linear function g(x) will intersect the equation of the circle at positive x coordinates.

Answer:

1.2 kilograms

Step-by-step explanation:

1 kilogram is equal to 1000 grams

Therefore we can divide the weight by 1000 in order to find the amount of kilograms

1200/1000 = 1.2

Answer:

1.2

Step-by-step explanation:

1 gram is 0.001 kilograms

or 1000 kilograms to a gram

so 1200 grams is 1.2 kilograms

Jim's cards increased more

The function that represents the total cost, c(x), of this kayak tour package for x club members is 245 + 35x

According to the given question, we have the following parameters

Amount charged on tour guide = $245

Let the total number of club members charged be "x", such that if the company charges $35 per person, the total cost on "x" members will be 35x

Total cost =  Amount charged on tour guide + cost of "x" members

Total cost = 245 + 35x

Hence the function that represents the total cost, c(x), of this kayak tour package for x club members is 245 + 35x

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Answer:

300 is the answer

Step-by-step explanation:

area of triangle-BxH/2

area of square- LxW

10x10=100/2=50

50x4=200

+100

=300

Answer:

Median = 58.5

Q1 = 55

Q3 = 65

Interquartile = 10

Step-by-step explanation:

first let’s correct the data set :

It’s 38 46 55 56 58 59 61 65 67 75  not   38 46 55 56 558 59 61 65 67 75

Data set : 38 46 55 56 58 59 61 65 67 75

Median:

After we put Our data set from Smallest to largest

we define the median as the middle number of the data set but our set consists of an even number which is 10

In this case the median is the average of the two middle numbers which are the 5th and 6th numbers

38 46 55 56 [58 59] 61 65 67 75

Then

Median = (58+59)/2 = 117/2 = 58.5

quartile 1 : It’s just the median of the lower set of numbers which means it’s the median of : 38 46 55 56 58

Then Q1 = 55 because it’s the middle number.

quartile 3 : It’s just the median of the upper set of numbers which means it’s the median of : 59 61 65 67 75

Then Q3 = 65  (Easy to spot)

Interquartile = Q3 - Q1 = 65 - 55 = 10

Answer:

The answer should be A

Step-by-step explanation:

Hope this helps.Tell me if its wrong.

The population growth has been steadily increasing for the past 25 years is not supported by this diagram. Correct option is A.

The diagram does not provide information about the population growth trends for the past 25 years. It only shows the population pyramid at a specific point in time, with age and gender distributions. It does not indicate the population growth rate over the last 25 years or whether it has been increasing steadily during that period.

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#SPJ2

Answer:

[tex](x+4)^2+3=0[/tex]

Step-by-step explanation:

Hey there!

Standard form is what this equation is in

Standard form is this: [tex]ax^2+bx+c[/tex]

So order to complete the square, you need to take the [tex]b[/tex] term out of the equation, divide it by two, and then square it

In this case, the [tex]b[/tex] term is 8

We need to divide 8 by 2 ---> 4

Then square 4 ---> 16

So now you should add 16 to both sides

[tex]x^2+8x+16+19=16[/tex]

Now you can simplify the LHS

[tex](x+4)^2 +19=16[/tex]

Now you subtract 16 from both sides

[tex](x+4)^2+3=0[/tex]

So this is as far as you can go since you cannot take the square root of a negative number

Answer:

21.5 square units

Step-by-step explanation:

The 4 circles touching eachother have a total combined length of 20.

There are 4 circles. 20/4 = 5. The diameter of each circle is 5 units.

The length ofthe rectangle is 20 units. the width of the rectangle is 5 units.

The area of the shaded region is the area of the rectangle minus the ares of 4 circles.

A = area of rectangle - area of 4 circles

A = LW - 4 × πr²

The radius of each ciorcle is d/2 = 5/2 = 2.5

A = 20 × 5 - 4 × 3.14 × 2.5²

A = 100 - 78.5

A = 21.5

Answer:

FOR CONNEXUS UNIT 3 LESSON 1 SOLVING SYSTEMS BY GRAPHING 1. C 2. A 3. A 4. A

Step-by-step explanation:

Answer:

17.0 m/s

Step-by-step explanation:

Using SUVAT:

[tex]s= \\u=7.0\:\textsf{m/s}\\v=v \\a=2.0\:\textsf{m/s}^2\\t=5\: \sf s[/tex]

[tex]\begin{aligned}\textsf{Using}\quad v & =u+at\\ \implies v & = 7.0+2.0(5)\\ & = 7.0+10.0\\ & = 17.0\:\textsf{m/s} \end{aligned}[/tex]

Answer:

I think you could combine functions (not sure don't hold me to it), but im not sure of the actual process. Furthermore, combining functions could be useful if you were an architect.

Step-by-step explanation: