Which of these expressions represent the
sum of the areas of the triangles shown?

Answer:

x=-50

Step-by-step explanation:

I used the method of balancing equations:

Add -40x to both sides

-38x+43 + 40x = -40x-57+40x

Simplify:

2x+43 = -57

Subtract 43 from both sides:

2x+43 -43 = -57 -43

Simplify:

2x =  -100

Solve for x

2x÷2 = -100÷2

x = -50

Hope this helped and brainliest please

Answer:

Step-by-step explanation:

In this question we have given an equation that is -38x + 43 = -40x - 57 . And we have to find the solution of this question that means we have to find the value of x .

So let's start our Solution : -

[tex] \hookrightarrow \: -38x+43=-40x-57 [/tex]

Step 1 : Subtracting 43 on both sides :

[tex] \hookrightarrow \: \: - 38x + \cancel{43} - \cancel{43 }= - 40x - 57 - 43[/tex]

On calculating further , We get :

[tex] \hookrightarrow \: - 38x = - 40x - 100[/tex]

Step 2 : Adding 40x on both sides :

[tex] \hookrightarrow \: - 38x + 40x = - \cancel{40x} - 100 + \cancel{40x}[/tex]

On calculating further , We get :

[tex] \hookrightarrow \:2x = - 100[/tex]

Step 3 : Dividing by 2 on both sides :

[tex] \hookrightarrow \: \frac{ \cancel{2}x}{ \cancel{2} } = \cancel \frac{ - 100}{2} [/tex]

On calculating further , We get :

[tex] \hookrightarrow \: \purple{\boxed{\frak{x = - 50}}}[/tex]

Verifying : -

Now we're verifying our answer by substituting value of x in given equation . So ,

Therefore , our solution is valid .

From the computation below, the area of the label is 707 Inches.

This calculation is carried out using the theorem of the area of curved shapes.

The formula for the Curved Surface Area of a Cylinder is given as:

                                               2 [tex]\pi[/tex] rh

                                              =  2 [tex]\pi[/tex] x 7.5 x 15.

This assumes that the label also ends at an equal distance from the top of the lid.  Hence 15in = 20 - (2.5 x2);

Recall that [tex]\pi[/tex] =  22/7, hence

= 2 x (22/7) x  7.5 x 15

= 707.142857143

Approximately, this equals; 707 Inches.

Hence, the area of the label = 707 inches.

Notice that the question is incomplete. From inference, however, the general calculation above contains the principles for calculating the area of a label.

Learn more about Surface Area of Curved Shapes at:
https://brainly.com/question/26949672

A) The equation for the growth of bacteria over time is : n(t) = 27(   [tex]e^{25t}[/tex])

B) The number of bacteria the would be in 5 minutes 1 hour is :

n(5mins) = 215.055 ,  n(1) = 1944132282109.422

C) The time it will take for the bacteria to reach a population of 10,000 is : t = 0.237 hours

Applying the mathematical growth and decay modelling

a. n(t) = [tex]n_{0}[/tex] [tex]e^{rt}[/tex]

[tex]n_{0}[/tex] = initial amount of bacterial

[tex]e^{rt}[/tex] = exponent

r = rate

t = time

n(t) = 27(   [tex]e^{25t}[/tex])

b. for 5 minutes

converting 5 minutes to hours; we divide by 60 minutes

[tex]\frac{5}{60}[/tex] = 0.083 hour

n(5 mins) = 27(   [tex]e^{25t}[/tex])

n(5 mins) = 27(   [tex]e^{25 * 0.083}[/tex])

n(5 mins) = 27(   [tex]e^{2.075}[/tex])

n(5mins) = 27(   7.965)

n(5mins) = 215.055

For 1 hour we have

n(1) = 27(   [tex]e^{25t}[/tex])

n(1) = 27(   [tex]e^{25 * 1}[/tex])

n(1) = 27(   [tex]e^{25}[/tex])

n(1) = 27 * (72004899337.386)

n(1) = 1944132282109.422

c. How long will it take for the bacteria to reach a population of 10,000?

10000 = 27(   [tex]e^{25t}[/tex])

[tex]\frac{10000}{27}[/tex] = (   [tex]e^{25t}[/tex])

370.370 = (   [tex]e^{25t}[/tex])

㏑ (370.370 ) = ㏑ (   [tex]e^{25t}[/tex])

5.915 = 25t

[tex]\frac{5.915}{25}[/tex] = t

t = 0.237 hours

In conclusion this type of question can be done by mathematical modelling

Learn more about mathematical modelling: https://brainly.com/question/4960142

Answer:

56

Step by step explanation:

[tex]62+x-x^2\\\\\text{When x = 3}\\\\62+3 -3^2 = 62+3-9 = 65-9 = 56[/tex]

Answer:

-1

Step-by-step explanation:

g(2) = (2) - 3(2) + 4(2) - 5

g(2) = 2 - 6 + 8 - 5

g(2) = 2 - 6 + 3

g(2) = 2 - 3

g(2) = -1

Answer:

530 m²

Step-by-step explanation:

First of all we need to label the missing sides ,please check the figure I provided for that :

x = 37 - (10+ 15) = 37 - 25 = 12

z = 10

y = 2 × 10 = 20

The shade does area = area of the whole rectangle − the white area

                                    = 37 × 20 − [ (15×20)÷2 + (10×12)÷2 ]

                                    =  740      − [    150        +      60       ]

                                    = 740.      −               210

                                    = 530

Answer:

Slope of the line DV = -1

Step-by-step explanation:

Let point D (-5, 1) be [tex](x_{1}, y_{1})[/tex]

Let point V (-1, -3) be [tex](x_{2}, y_{2})[/tex]

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Plug in the appropriate values,

[tex]m = \frac{-3-1}{-1-(-5)} = \frac{-4}{4} = -1[/tex]

slope equals -1

Answer:

Give options :/

Step-by-step explanation:

Answer:

answer recent question of my pr.ofil.e

Answer:

x ≥ -1

Step-by-step explanation:

Hello!

Solve for x by isolating the variable.

The inequality is true for all values of x greater than or equal to -1.

Step-by-step explanation:

quotient is a result of the number

divided by a number

and if u want to divided with zero so division are not exis

can't divided by 0

Answer:

Here,

Now,

Answer:

for L 2, 2 and for LM it is -8,8

Step-by-step explanation:

easy

Step-by-step explanation:

given :

h = 50 ft

the angle if elevation , a = 50°

find :

the distance , d =?

the answer:

tan a = h/d

d = h /tan a

= 50/ tan 50°

= 50 / 1,19

= 42,02 ft

Let's see

Answer:

0.33=33%

0.07=70%

5.43=543%

1.5%=1/5

3%=3

38%=3/8

Step-by-step explanation:

hope this helps if not please let me know

Answer:

8.5 × 10-2

Step-by-step explanation:

I believe this is it

Answer:

the total mass of the products is equal to the total mass of the reactants

Step-by-step explanation:

The sum of the relative formula masses of the reactants is equal to the sum of the relative formula masses of the products.

Model mural::

L*W = 0.3 sq. ft

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

Actual mural::

(5L)(5W) = 25*LW = 25*0.3 = 7.5 sq ft.

Answer: No solution

Step-by-step explanation:

       These two equations have parallel slopes and therefore no solution.

-> See attached for graph. Since there is no point of intersection, there is no solution.

Answer:

the product

= (x+4)(x+5)

= x^2 + 5x + 4x +20

= x^2 + 9x + 20
hope this helps!!!

Answer:

Step-by-step explanation:

Applying Distributive Property :

Combining Like-Terms :

I'(-4, -3)     J'(-4, -2)

K'(-2, -2)     L'(0, -4)    

[tex]I(0,-3)\rightarrow I'(0-4,-3)\rightarrow I'(-4,-3)\\ J(0,-2)\rightarrow J'(0-4,-2)\rightarrow J'(-4,-2)\\ k(2,-2)\rightarrow k'(2-4,-2)\rightarrow k'(-2,-2)\\ L(4,-4)\rightarrow L'(4-4,-4)\rightarrow L'(0,-4)\\ \{Conversion\ principle\}[/tex]

I hope this helps you

:)

Step-by-step explanation:

There two solutions. X can be zero cause anything divided by zero is undefined.

When dealing with positive numbers:

[tex]least \: to \: greatest \: for \: \: x \geqslant 1[/tex]

[tex] - \frac{1}{x} < \: \: 1 - x \: < \: \: x - 1 \: \: < x[/tex]

When dealing with negative numbers:

[tex]least \: to \: greatest \: for \: \: x < 0[/tex]

[tex] - x \: < x - 1 \: < - \frac{1}{x} \: < 1 - x[/tex]

Answer:

39.37 in

Step-by-step explanation:

The Quotients of the given expression (2m + 4) / 8 divided by (m + 2)/6 would be 3/2.

Quotients are the number that is obtained by dividing one number by another number.

Dividend ÷ Divisor = Quotients

(2m + 4) / 8 divided by (m + 2)/6

= (2m + 4) / 8 ÷ (m + 2)/6

= (2m + 4)/8 x (6 / (m + 2) )

= (m + 2)/4 x 6/(m + 2)

= 6/4

= 3/2

Thus, the quotients will be 3/2.

Learn more about Quotients;

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Answer: False

Step-by-step explanation:

The lower case letter denotes a relation, not a function

Answer:

Odd: f(-x) = -f(x)

Step-by-step explanation:

Odd: f(-x) = -f(x)

f(-1) = 5

-(f(1)) = 5

Answer:

0.0018

Step-by-step explanation: