State for me GENERAL FORMULA in mathematics ​

Answer:

The number of measles vaccines that Dr. Potter give than polio vaccines is 30

Step-by-step explanation:

The parameters given are;

The number of doses given in a polio vaccine = 6 doses

The number of doses given in a measles vaccine = 3 doses

The number of vaccinations given by Dr. Potter last year = 60 vaccinations

The number of doses given in the 60 vaccinations = 225 doses

Let the number of polio vaccine given last year by Dr. Potter = x

Let the number of measles vaccine given last year by Dr. Potter = y

Therefore, we have;

6 × x + 3 × y = 225.......................(1)

x + y = 60.......................................(2)

From equation (2), we have;

x = 60 - y

Substituting the derived value for x in equation (1), we get;

6 × x + 3 × y = 225

6 × (60 - y) + 3 × y = 225

360 - 6·y + 3·y = 225

360 - 225 = 6·y - 3·y

135 = 3·y

y = 45

x = 60 - y = 60 - 45 = 15

Therefore;

The number of polio vaccine given last year by Dr. Potter = 15

The number of measles vaccine given last year by Dr. Potter = 45

The number of measles vaccines that Dr. Potter give than polio vaccines = 45 - 15 = 30 vaccines.

The number of measles vaccines that Dr. Potter give than polio vaccines =  30 vaccines.

Answer:

[tex]30[/tex]

Step-by-step explanation:

[tex]6(3 + 2) \\ = 6(5) \\ = 30[/tex]

Answer

A. dilation

Step-by-step explanation:

if we dilate the diagram it will be enlargedd so cannot be proved as congruent

The transformation that can not be used to prove that ABC is congruent will be dilation. The correct option is A.

Transformation a process by which one figure, expression, or function is converted into another one of similar value. Dilation is the process of increasing the size of an object while maintaining its shape. Depending on the scale factor, the object's size can be increased or decreased.

When the triangle is rotated its original shape and size will not change it only changes its position then the triangle will remain congruent.

When the triangle is reflected it means that its mirror image is formed then the size and shape will again remain unchanged the triangle will be congruent.

When the triangle is translated then also its size will not change only it changes its position. The triangle will be congruent.

When the triangle is dilated it means that the shape of the triangle is increased or decreased then the triangle will not be congruent when it is dilated.

To know more about dilation follow

https://brainly.com/question/3457976

#SPJ5

The area of the shaded region in the regular polygon is 161.3 cm²

A regular polygon is a polygon in which all the sides are equal.

From the diagram, the regular polygon is a square which is composed of a small square and a large square. In a square, all the sides are equal.

For the small square, half of the diagonal is 4 cm, therefore the length of the diagonal is 8 cm (2 × 4 cm). Let the length of the side be a cm, using Pythagoras theorem:

a² + a² = 8²

2a² = 64

a² = 32

a = √32 = 5.7 cm

The area of the small square = length × length = 5.7 × 5.7 = 32.5 cm²

For the large square, half of the diagonal is 9 cm, therefore the length of the diagonal is 18 cm (2 × 9 cm). Let the length of the side be b cm, using Pythagoras theorem:

b² + b² = 18²

2b² = 324

b² = 162

b = √162 = 12.7 cm

The area of the large square = length × length = 12.7 × 12.7 = 161.3 cm²

The area of the shaded region = Area of large square - Area of small square = 161.3 cm² - 32.5 cm² = 128.8 cm²

The area of the shaded region in the regular polygon is 161.3 cm²

Find out more on regular polygon at: https://brainly.com/question/1592456

Answer:

it’s actually 130 or 130.0

Step-by-step explanation:

Answer:

f(t) = 202,444(1.05)^t

Step-by-step explanation:

Simple Interest Rate Formula: A = P(1 + r)^t

A = final amount

P = principle amount

r = interest rate

t = time

Step 1: Find rate r

212,566.20 = 202,444(1 + r)¹

1.05 = (1 + r)¹

1.05 = 1 + r

r = 0.05

Step 2: Define variables

P = 202,444

r = 0.05

Step 3: Plug in variables into formula

A = 202,444(1 + 0.05)^t

A = 202,444(1.05)^t

Answer:

Brainliestgive o020201000

The equation has two real and equal roots for [tex]k = \frac{5}{6}[/tex]

In this question, we use the concept of the solution of a quadratic equation to solve it, considering that a quadratic equation in the format:

[tex]ax^2 + bx + c = 0[/tex]

has two equal solutions if [tex]\Delta = b^2 - 4ac[/tex] is 0.

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

In this question:

The equation is:

[tex](2k+1)x^2 + 2x = 10x - 6[/tex]

Placing in the correct format:

[tex](2k+1)x^2 + 2x - 10x + 6 = 0[/tex]

[tex](2k+1)x^2 - 8x + 6 = 0[/tex]

Thus, the coefficients are: [tex]a = 2k + 1, b = -8, c = 6[/tex]

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

Delta:

We want it to be positive, so:

[tex]\Delta = b^2 - 4ac[/tex]

[tex]\Delta = 0[/tex]

[tex]b^2 - 4ac = 0[/tex]

[tex](-8)^2 - 4(2k+1)(6) = 0[/tex]

[tex]64 - 48k - 24 = 0[/tex]

[tex]-48k + 40 = 0[/tex]

[tex]-48k = -40[/tex]

[tex]48k = 40[/tex]

[tex]k = \frac{40}{48}[/tex]

[tex]k = \frac{5}{6}[/tex]

The equation has two real and equal roots for [tex]k = \frac{5}{6}[/tex]

A similar question is found at https://brainly.com/question/12144265

Answer:

As x decreases in value.f(x) decreases in value.......

Answer:

1/6

Step-by-step explanation:

People who answered less than 1/2 were:  2 +  1 + 3 = 6 people.

There are a total of 36 people.

People who answered their calls before the second ring were only 6/36.

When we simplify the fraction, we get 1/6.

So, the answer is 1/6

Answer:

Well this question is actually a piece of cake. Just pick your favorite number. Multiply it by 10. Then do whatever operation you want with the 2,300. For the exponent part of this. Lets say we do it this way y times z equals 2,300. Exponents are letters used in mathematical terms. So any letter can be used to represent any number.

Step-by-step explanation:

Answer:

C. 19

Step-by-step explanation:

Given the function defined by F(x)=x²−2x+4, in order to get f(5), we will have to simply substitute x = 5 into the formula given as shown;

F(5) = 5²-2(5)+4

F(5) = 25 - 10 + 4

F(5) = 15 + 4

F(5) = 19

Hence, for the function F defined by F(x)=x²−2x+4, F(5) = 19

Answer:

slope = 2 : 8 or 1:4

Step-by-step explanation:

a(-3, 4)

b(5, 6)

slope = rise / run

slope (6-4, 3+5))

slope = 2 : 8 or 1:4

Answer:

Slope =¼

Step-by-step explanation:

[tex](-3, 4) \: (5, 6) \\ x _{1} = - 3 , y_1 = 4 \\ x_2 = 5 \\ y_2 = 6[/tex]

[tex]m = \frac{y_2 - y_1}{x_2 - x_1} \\ m = \frac{6 - 4}{5 - ( - 3)} \\ m = \frac{2}{8} = \frac{1}{4} [/tex]

Answer:

6

Step-by-step explanation:

Answer: 18/3 as a mixed number should be just 6/1(6). because 18 divided by 3 is 6.

Answer:

293

Step-by-step explanation:

✓85849=. 85849^1/2

= 293

Answer:

85.2

Step-by-step explanation:

we can represent this in an equation where the initial value is going to be and to this we will subtract 2.6% of it

x - x * 2.6/100 = 83

x - 0.026x = 83

0.974x = 83

x = 83 / 0.974

x = 85.2156

we round to the nearest tenth and finally, we get that the result is 85.2

Answer:

[tex]\boxed{D. y + 6 = -3(x - 2)}[/tex]

Step-by-step explanation:

Hey there!

Well given point,

(2,-6)

Point slope form is,

y - y1 = m(x - x1)

Plug in the given point

y + 6 = m(x - 2)

Plug in slope

y + 6 = -3(x - 2)

So choice D. y + 6 = -3(x - 2) is correct.

Hope this helps :)

Answer: y= 3+x

Step-by-step explanation:

Answer: y = x - 3

First, find two points on the graph:

Substitute in the points to the slope formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] to find the slope:

[tex]\frac{y_2-y_1}{x_2-x_1}=\frac{-3-0}{0-3}=\frac{-3}{-3}=1[/tex]

Substitute in a point to the function [tex]y=1x+b[/tex] to find the y-intercept(b):

[tex]-3=1(0)+b\\b=-3[/tex]

Therefore, the function is:

[tex]y=x-3[/tex]

Answer:

academic study or science that deals with human behavior in its social

Answer:

First, we substitute k=-2 in the given expression and we calculate the numerical value.

[tex]\frac{5(2k-3)-3(k+4}{3k+2} =\frac{512(-2)-3](-2+4}{3(-2)+2}[/tex]

[tex]=\frac{5(-4-3)-3(2)}{-6+2}[/tex]

[tex]=\frac{5(-7)-6}{-4}[/tex]

[tex]=\frac{-41}{-4}[/tex]

[tex]=\frac{41}{4}[/tex]

OAmalOHopeO

Answer:

-33

Step-by-step explanation:

5(2k - 3 )-3(k+4)/ 3k+2

5(2*(-2)-3)-3((-2)+4)/3*(-2)+2

5(-4-3)-3(2)/(-6)+2

5(-7)-6/(-6)+2

-35+1+2

-33

180 degree

Step-by-step explanation:

supplementary means anhke havinv sum of 180 degree

so sum to two supplemrntary angles is 180 drgree

Supplementary angles always add to 180.

One way I think of it is "supplementary angles form a straight angle", and both the words "supplementary" and "straight" start with the letter "S".

In contrast, complementary angles form a corner. Both "complementary" and "corner" start with "co". By "corner", I mean a 90 degree corner.

Answer:

A

Step-by-step explanation:

The quotient is  5x³ -5x² + 2x -2.

Synthetic division is typically used to identify the zeroes of polynomials and is described as "a simplified method of dividing a polynomial with another polynomial equation of degree 1." This division method requires less human calculation effort than the lengthy division method.

Given:

(5[tex]x^4[/tex] – 3x² + 4) ÷ (x + 1)

So, the division is

                       (x+1) |  (5[tex]x^4[/tex] – 3x² + 4) | 5x³ -5x² + 2x -2

                                   5[tex]x^4[/tex] + 5x³

                               ___________

                                          -5x³ - 3x²

                                          -5x³ - 5x²  

                                       ____________

                                                    2x² + 4    

                                                    2x² + 2x      

                                              ____________

                                                              4 - 2x      

                                                              -2 - 2x

                                                             _______

                                                                    6

Hence, the quotient is  5x³ -5x² + 2x -2.

Learn more about Synthetic Division here:

https://brainly.com/question/28824872

#SPJ6

Answer:

2.6 miles

Step-by-step explanation:

1 hour 26 minutes= 86 minutes

86-34=52 total walk time

52 minutes= 5*1/2 miles

=2.5 miles walked

and 2 minutes.

so we need to find 1/5 of 1/2

(1/2)/5=0.1 mile

2.5+0.1=2.6 miles

Let's use a number line to help us visualize what's going on.

Starting at 0, +5 takes us 5 units to the right.

From there, -7 moves us 7 units back to the left and we end up at -2.

So (+5) + (-7) simplifies to -2.

Take a look at the image below.

Answer:

54 square miles

Step-by-step explanation:

The easiest thing to do is to separate the figure into one 5x9 rectangle and one 3x3 square. The rectangle area is 5x9=45 square miles and the square is 3x3=9 square miles. So total is 45+9=54 square miles.

Answer:

Step-by-step explanation:

Hello, it means that the number is

57 * 37 + 29 = 2138

Thank you

Answer:

.6239 as a fraction is 6239/10000.

Answer:

x = 18

Step-by-step explanation:

First, let's find the ratios between the two triangles

We'll use AV and AC

372 ÷ 589 = 12/19

All of the sides of the smaller triangle are 12/19 of the bigger triangle

Now let's find x

We know that AU + UB = AB

So it's 20x + 108 + 273 = AB

12/19 of a bigger triangle side equals a small triangle side

(12/19)AB = AU

For this equation multiply both sides by 19/12 to isolate AB

(12/19)AB x 19/12 = AU x 19/12

AB = (19/12)AU

Now we have this

20x + 108 + 273 = (19/12)(20x + 108)

20x + 381 = (19/12)(20x + 108)

Distribute the 19/12

20x + 381 = 95/3x + 171

Move all like terms to one side

20x + 381 = 95/3x + 171

       - 171                 - 171

20x + 210 = 95/3x

- 20x           - 20x

Don't forget about common denominators

210 = 95/3x - 60/3x

210 = 35/3x

Multiply both sides by 3

210 x 3 = 35/3x x 3

630 = 35x

Divide both sides by 35

630/35 = 35x/35

x = 18

Answer:

Step-by-step explanation:

[tex]\frac{20x+108}{20x+381}[/tex] = [tex]\frac{372}{589}[/tex]

589( 20x + 108 ) = 372( 20x + 381 )

11780x + 63612 = 7440x + 141732

4340x = 78120

x = 18

Answer:

1/16   2/16  3/16  4/16  5/16  6/16  7/16  8/16 9/16 10/16  11/16 12/16

Step-by-step explanation:

Para la identificación de las brocas tenemos dos consideraciones:

1.- Fracciones de igual denominador son mas grandes en orden creciente según vayan creciendo los numeradores, de tal forma que entre

9/16   3/16    7/16     5/16   11/16    el orden es como sigue ( de menor a mayor)

3/16     5/16     7/16     9/16     11/16

2.- Las fracciones con denominadores distintos pueden llevarse a denominador común /16  amplificando la fracción es decir por ejemplo

1/4   =  1*4/4*4   =  4/16

Con ese procedimiento las convertimos todas al caso señalado en el punto anterior y ordenamos

1/4   = 4/16

3/8  = 6/16

1/2  = 8/16

5/8 =  10/16

1/8  =  2/16

Entonces hay diez brocas la primera será 1/16 y la número 12   12/16

Y finalmente el orden es:

1/16   2/16  3/16  4/16  5/16  6/16  7/16  8/16 9/16 10/16  11/16 12/16

Answer:

A

Step-by-step explanation:

We can plug in all of the x and y values to check if the point is a solution to the inequality.

Point A: x = 1, y = 7

7 > |1| + 5

7 > 1 + 5

7 > 6

This is a true statement, which means that this point is a solution to the inequality. We don't have to check any more points since we have found our answer.

Answer:

589 yards

Step-by-step explanation:

This is a question that requires the use of trigonometric functions.

The trigonometric function to be used here is the tangent function.

tan θ = Opposite side/ Adjacent side

In the question, we are told

Your friend walks 245 yards due west from your position = Opposite side

Your friend's takes a bearing on the cabin of N 22.6° = θ

Your distance from the cabin = Adjacent side

Hence,

tan 22.6 ° = 245/ Adjacent side

Cross Multiply

Adjacent side = 245/ tan 22.6°

Adjacent side = 588.57469726 yards.

Therefore, your distance from the cabin approximately to the nearest yard(whole number) = 589 yards