The mean of 5 numbers is 12. If four of the numbers are 1, 2, 3, 20, what is the last number?

Answer:

x² + 10x + 25

Step-by-step explanation:

Given

(x + 5)(x + 5)

Each term in the second factor is multiplied by each term in the first factor, that is

x(x + 5) + 5(x + 5) ← distribute both parenthesis

= x² + 5x + 5x + 25 ← collect like terms

= x² + 10x + 25 ← in standard form

Answer:

95°

Step-by-step explanation:

Answer:

0.32 meters = 0.32 × 100

32 centimetres

0.32 meters is equivalent to 32 centimetres

Answer:

0.32 meters is a unit of measurement. It is equal to 32 centimeters, 3.2 decimeters, and 0.00032 kilometers. A meter is a unit used to measure length and one meter is around a yard. The width of most doorways is around the length of one meter. Therefore, 0.32 meters is a very small amount.

Answer: A or C (i think A because its not including)

Step-by-step explanation:

Answer:

58.50

Step-by-step explanation:

First find out how many were vanilla and chocolate

vanilla: 5/6 * 36 = 30

Chocolate = total - vanilla = 36-30 =6

Cost for vanilla = 1.50*30 =45

Cost for chocolate 2.25*6 =13.5

Add the cost together

45+13.50

58.50

Answer:

no, both lines increase at different angles

Answer:

No

Step-by-step explanation:

Because both of these functions have a constant, different growth, as one grows the other will grow at a slightly different rate, which will constantly change the ratio between their values. Since a proportional growth is one where the ratio between the values stays constant and this is not the case here, this is not a proportional relationship. Hope this helps!

Answer:

Distance between A to C is 16.62km

Step-by-step explanation:

See attached document to get a better illustration of the angle.

A = 83°

B = 53°

C = ?

180° = 83° + 53° + C (sum of angles in a triangle is equal to 180°)

180° = 142° + c

C = 180 - 142

C = 38°

To find the distance AC, we have to use sine rule.

a / sin(A) = b / sin(B) = c / sin(C)

a / sin(A) = c / sin(C)

a /sin83 = 10.31 / sin38

Cross multiply

10.31 * sin83 = a * sin38

10.23 = (0.61566)a

a = 10.23 / 0.61566

a = 16.616 km

a = 16.62km

The distance between A and C is 16.62km

Answer:

Remove D

Step-by-step explanation:

The sum of the values would go from 0 to 3. Because there are 3 values when you remove one, the avg. of that would be 3/3 = +1

Answer:

1.89£÷0.7kg=2.7£

To find the price of a whole kg you need to divide the price she paid by the quantity she bought.

Answer:

x = 2.7

Step-by-step explanation:

To find x

1) 1.89 ÷ 0.7 = 2.7

Thankyou

Answer:

1/18

Step-by-step explanation:

1/3 divided by 6 = 1/3 x 1/6

You can multiply by the reciprocal of a number instead of dividing

1/3 x 1/6 = 1/18

Answer: The answer is 1/18

Step-by-step explanation: starting with 1/3 breaking into 1/6

e-s-s: 1/3 / 1/6 = 1/3 . 1/6 = 1/18

Answer:

C. 16√3π in.

Step-by-step explanation:

Circumference of a circle = 2πr where

r is the radius of the circle.

Given the area of one of the smaller circle to be 48π in², we can get the radius of one of the smaller circle.

If A = πr²

48π = πr²

r² = 48

r = √48 in

The radius of one of the smaller circle is √48.

To get the circumference of the larger circle, we need the radius of the larger circle. The radius R of the larger circle will be equivalent to the diameter (2r) of one of the smaller circle.

R = 2r

R = 2√48 inches

Since C = 2πR

C = 2π(2√48)

C = 4√48π in

C = 4(√16×3)π in

C = 4(4√3)π in

C = 16√3π in

Thw circumference of the larger circle is 16√3π in.

Step-by-step explanation:

Given two circa inscribed side by side inside a big circle, it is notice that the internal two circle are identical and diameter of the one the internal circles is equal to the radius of the big circle

So, we are given the area of one of the small circle, so from their we can find the radius of the small circle.

Area of small circle

A = 48π in²

Area of a circle is given as πr²

A = πr²

48π = πr²

Divide both side by π

48 = r²

Take Square root of both sides

r = √48 = √(16 × 3)

r = 4√3 in

Then, the diameter of the small circle is

d = 2r = 2 × 4√3

d = 8√3

So, the radius of the big circle is

R = d = 8√3

So, we want to find the perimeter of the big circle

The perimeter of a circle is calculated using

Perimeter = 2πr

P = 2πR

P = 2π × 8√3

P = 16π√3 in

So the correct option is C

P = 16√3 π in.

Answer:

[tex]A=81(\pi-1)\ in^2[/tex]

Step-by-step explanation:

step 1

Find the area of the plate

The area of a circle is given by the formula

[tex]A=\pi r^{2}[/tex]

we have

[tex]r=18/2=9\ in[/tex] ---> the radius is half the diameter

substitute

[tex]A=\pi (9)^{2}\\A=81\pi\ in^2[/tex]

step 2

Find the area of the square napkin folded (is a half of the area of the square napkin)

we know that

The diagonal of the square is the same that the diameter of the plate

Applying Pythagorean theorem

[tex]D^2=2b^2[/tex]

where

b is the length side of the square

we have

[tex]D=18\ in[/tex]

substitute

[tex]18^2=2b^2[/tex]

solve for b^2

[tex]b^2=162\ in^2[/tex] -----> is the area of the square

Divide by 2

[tex]162/2=81\ in^2[/tex]

step 3

Find the area of the space on the plate that is NOT covered by the napkin

we know that

The  area of the space on the plate that is NOT covered by the napkin, is equal to subtract the area of the square napkin folded (is a half of the area of the square napkin) from the area of the plate

so

[tex]A=(81\pi-81)\ in^2[/tex]

simplify

[tex]A=81(\pi-1)\ in^2[/tex]

Answer:

one solution

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Since this is a linear system, there can be 1, 0, or infinite solutions. In order to determine this, we need to solve this equation.

First, isolate the variables to one side:

0 = 97x -97

97x = 97

x = 1.

Thus there is one solution.

If we had gotten a statement such as 1 = 1, there would have been infinite.

If we had gotten a statement such as 1 = 0, there would have been no solution.

Answer:

37.68 or 37.7

Step-by-step explanation:

Circumference of a circle: 2πr

2 x 3.14 = 6.28

6.28 x 6 = 37.68 or 3.7

Answer:

$1.54

Step-by-step explanation:

18% of $15.85 is 2.853, so your total is $18.703

20% of $14.30 is 2.86, so their total is $17.16

So the difference is $1.543, rounded (since your dealing with money) would be $1.54

Answer:

Step-by-step explanation:

hello :

f(n)=f(n-1)+2

means : f(n)-f(n-1)=2

this is the arithmetic seq when the common dif is d= 2  and the first term is : 9

the n-ieme term is : f(n)  = f(1) +(n-1)d

f(n) =9+2(n-1)

f(n) = 2n+7

so : f(5) = 2(5)+7 = 17

Final answer:

The value of f(5) is determined by consecutively applying the given recursive relation, f(n) = f(n-1) + 2, starting from the initial condition f(1) = 9. After applying this process four times, we find that f(5) is 17.

Explanation:

f(1) = 9

f(n) = f(n-1) + 2

To find the value of f(5), we can use the recursive formula provided:
f(2) = f(1) + 2 = 9 + 2 = 11
f(3) = f(2) + 2 = 11 + 2 = 13
f(4) = f(3) + 2 = 13 + 2 = 15
f(5) = f(4) + 2 = 15 + 2 = 17

Answer:

$52.50

Step-by-step explanation:

Start with       $50

Add 2% Tip:  $1         (50 x 0.02)

Add 3% Tax: $1.5      (50 x 0.03)

Total:            $52.50

Answer:

52.50

Step-by-step explanation:

Because 3+2=5% and 5% of 50 dollars is 2.50 so 50+2.50 =52.50 dollars he is paying in total

Answer:

  a, d, g

Step-by-step explanation:

Translation is one of the "rigid motions," along with reflection and rotation. Figures subject to rigid motions are congruent. No angles or segment lengths are changed. Translation is accomplished by adding the same vertical and horizontal offsets to every point of the original figure, effectively sliding the figure to a new location. Every image line segment is parallel to its corresponding pre-image line segment.

__

The statements shown in bold are true of any translation.

Answer:

1,4,7

Step-by-step explanation:

1.) The sides of the image and pre-image are congruent.

4.) The image is a slide of the pre-image.

7.) Each point has moved the same number of units.

got 100

Answer:

Hey i like your profile pic

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

because yes

Answer: 2

Explanation: To solve this problem, it's important to understand that we don't need to graph the line but we can use our slope formula. One method you could use is the graphing method which requires you to plot the points but I will be showing you the slope formula.

[tex]m =\frac{ ^{y}2 - ^{y}1 }{x^{2} - x^{1} }[/tex]

We take our second y minus our first y

which in this case is 12 - 4

over our second x minus our first x

which in this case is 6 - 2.

So 12 - 4 over 6 - 2 simplifies to 8/4.

Notice that our slope can

be simplified one step further.

So 8/4 reduces to 2.

So the slope of the line that passes through these points is 2.

Answer:

Option a.

Step-by-step explanation:

We need to select correct statements form the given options.

[tex]2(x-6)=-35[/tex]

[tex]2x-12=-35[/tex]

[tex]2x=-35+12[/tex]

[tex]2x=-23[/tex]

Therefore, [tex]2(x-6)=-35[/tex] is equivalent to [tex]2x=-23[/tex].

[tex]8(x-7)=35[/tex]

[tex]8x-56=35[/tex]

[tex]8x=35+56[/tex]

[tex]8x=91[/tex]

Therefore, [tex]8(x-7)=35[/tex] is not equivalent to [tex]8x=28[/tex].

[tex]9(x-6)=-35[/tex]

[tex]9x-54=-35[/tex]

[tex]9x=-35+54[/tex]

[tex]9x=19[/tex]

Therefore, [tex]9(x-6)=-35[/tex] is not equivalent to [tex]9x=-29[/tex].

[tex]4(x-5)=35[/tex]

[tex]4x-20=35[/tex]

[tex]4x=35+20[/tex]

[tex]4x=55[/tex]

Therefore, [tex]4(x-5)=35[/tex] is not equivalent to [tex]4x=40[/tex].

Hence, option (a) is correct.

Answer:

A. 2(x - 6) = -35 is equivalent to 2x = -23

Step-by-step explanation:

just took the quiz

The midpoint m of line segment AB, with a length of 22 units, is located at 11. Assuming A and B are evenly spaced, the midpoint is found using the formula [tex]\( m = \frac{{A + B}}{2} \)[/tex].

To find the midpoint m of line segment AB, where AB has a length of 22 units, we use the midpoint formula: [tex]\( m = \frac{{A + B}}{2} \)[/tex].

Here, A and B are the coordinates of the endpoints of AB.

Since no specific coordinates are provided, let's assume A and B are equally spaced on the line.

If A = 0 and B = 22, the midpoint m would be [tex]\( \frac{{0 + 22}}{2} = 11 \)[/tex].

Therefore, the midpoint of AB is 11.

To find the midpoint of line segment AB, use the midpoint formula by averaging the x-coordinates and y-coordinates of the endpoints A and B.

The midpoint of a line segment AB can be found by using the midpoint formula. The formula is:

(x1 + x2) / 2, (y1 + y2) / 2

where (x1, y1) and (x2, y2) are the coordinates of points A and B respectively.

Plug in the values for the coordinates of A and B, and calculate the midpoint coordinates.

The question asks to find the midpoint of a line segment AB. To find this midpoint, one would typically use the midpoint formula, which is derived from the average of the x-coordinates and y-coordinates of the endpoints of the segment. The question seems to be associated with a geometry or physics context, but the process to find the midpoint remains the same. It involves adding the x-coordinates of both endpoints and dividing by 2 to find the x-coordinate of the midpoint, and doing the same with the y-coordinates for the y-coordinate of the midpoint.

Answer:

[tex]\huge\boxed{28\ and\ 7}[/tex]

Step-by-step explanation:

[tex]x-\text{the bigger number}\\(x-21)-\text{the smaller number}\\35-\text{the sum of numbers}\\x+(x-21)-\text{the sum of numbers}\\\\\text{The equation:}\\\\x+x-21=35\qquad\text{add 21 to both sides}\\\\x+x-21+21=35+21\\\\2x=56\qquad\text{divide both sides by 2}\\\\\dfrac{2x}{2}=\dfrac{56}{2}\\\\x=28\to x-21=28-21=7[/tex]

Answer:

28+7= 35

28 and 7 are the numbers

Answer:

The number of hours it will take before both cars meet is 5 hours

Step-by-step explanation:

Here we have, speed of first car, A = 30 mph

Speed of second car, B = (30 + 20) mph = 50 mph

Therefore, we have

Let the point where both cars meet be X and the time before they meet be Y

Then for car A, 30 × Y = X....................(1)

For car B, 50 × Y = 400 - X..................(2)

From plugging the value of X from equation (1) into equation (2) we have;

50·Y = 400 - 30·Y

80·Y = 400

Y = 5 hours

Therefore the number of hours it will take before both cars meet = 5 hours.

Answer

t = 5 hrs

Step-by-step explanation:

let

speed of the first car = 30 mph

speed of the second car = 20 mph + 30 mph = 50 mph

When the cars meet we know both cars will have traveled a total distance of  400 miles.

Therefore,

let's make a distance equation

speed = distance/time

distance = speed × time

first car + second car = 400 miles

30t + 50t = 400

80t = 400

divide both sides b 80

t = 400/80

t = 5 hrs

Answer:

x = 60°

Step-by-step explanation:

[tex] \cos \: (2x + 60) = - 1 \\ \cos \: (2x + 60) = \cos \: 180 \degree \\ 2x + 60 = 180 \degree \\ 2x = 180 \degree - 60 \degree \\ 2x = 120 \\ x = \frac{120}{2} \\ \huge \red{ \boxed{ x = 60 \degree}}[/tex]

Answer:

The value of given expression is 244.

Step-by-step explanation:

The given expression is [tex]\dfrac{1}{2}\times (734 - 246)[/tex].

We need to simply the above expression.

First of all, we will subtract 246 from 734. By doing so, we get 488.

Now, we can divide 488 by 2.

As a result we get 244.

So, the value of given expression is 244.

The required statement is "[tex]\dfrac{1}{2}[/tex] the difference between 734 and 246".

Important information:

(734-246) is the difference between 734 and 246.

[tex]\dfrac{1}{2}\times (734-246)[/tex] is [tex]\dfrac{1}{2}[/tex] the difference between 734 and 246.

Therefore, the required statement is "[tex]\dfrac{1}{2}[/tex] the difference between 734 and 246".

Find out more about 'Phrase for Expression' here:

https://brainly.com/question/25301924

We have been given that Jackson purchases a new car for $48,000. The car's value can be modeled by the  following exponential function: [tex]y = 48000(0.76)^t[/tex] where y represents the car's  value and t represents time in years. We are asked to find the decay rate as a percentage.

We know that an exponential decay function is in form [tex]y=a\cdot (1-r)^x[/tex], where,

y = Final value,

a = Initial value,

r = Decay rate in decimal form,

x = time.

Upon comparing our given function [tex]y = 48000(0.76)^t[/tex] with standard decay function  [tex]y=a\cdot (1-r)^x[/tex], we can see that [tex]1-r=0.76[/tex].

Let us solve for r.

[tex]1-1-r=0.76-1[/tex]

[tex]-r=-0.24[/tex]

[tex]r=0.24[/tex]

Let us convert 0.24 into percentage.

[tex]0.24\times 100\%=24\%[/tex]

Therefore, the decay rate is 24%.

Answer:

-1

Step-by-step explanation:

The formula for slope is: [tex]\frac{y_1-y_2}{x_1-x_2}[/tex] where [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are points

Plug in (-5,3) and (-3,1) into the equation, and you get:

[tex]\frac{-5-(-3)}{3-1} =\\\frac{-2}{2} =\\-1[/tex]

Answer:

B. All sides have that same length, would be the correct answer.

Step-by-step explanation:

Answers A,C, and D are all properties for all parallelograms.

Option B, which states that all sides have the same length, is not a property for all parallelograms. It is only true for rhombuses, which are a special type of parallelogram.

Among the options given, the one that is not a property for all parallelograms is:

This statement is not true for all parallelograms; it is a specific property of a subset of parallelograms known as rhombi (singular: rhombus), where all four sides are congruent. However, a general parallelogram only requires opposite sides to be of equal length, not all four sides. To clarify further:

The key distinction here is understanding that while rhombi share all the properties of parallelograms, not all parallelograms are rhombi.

Answer:

He has 7 cookies left

Step-by-step explanation:

13-6=7 7+6=13

Answer:

Step-by-step explanation:

The first way you can explain is the simple standard way of subtraction using 13-6=7 or you can count up from 6 to 13 and see how many numbers are found in between.