find the value of the given equation (-155)+(-20) + (-14) + (-133) + (190) + (170) +(-73)​

Answer:

110.5 cubic inches

Step-by-step explanation:

Base is parallelogram, so area is

A = 4.7×5 = 23.5

Height(h) is 4.7, so volume is,

V = A×h

= 23.5×4.7

= 110.45 ≈ 110.5

Answered by GAUTHMATH

The transformation of a function may involve any change. The function, g(x) that represents function f(x) moved 4 units downwards is g(x)=7x-1.

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs) etc.

If the original function is y = f(x), assuming horizontal axis is input axis and vertical is for outputs, then:

Horizontal shift (also called phase shift):

Vertical shift:

Stretching:

Given the function f(x)=7x+3, now, if the function is moved down by d units, then the function can be transformed down wards by 4 units as shown below.

g(x) = f(x) moved down by 4 units

g(x) = f(x) - 4

g(x) = 7x + 3 - 4

g(x) = 7x - 1

Hence, the function, g(x) that represents function f(x) moved 4 units downwards is g(x)=7x-1.

Learn more about transforming functions here:

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Answer:

4.5 birds, 7.5 mice

Step-by-step explanation:

We know that birds have 2 legs and mice have 4. Furthermore, birds have 1 head as well as mice.

If b represents the amount of birds and m represents the amount of mice, because there are only birds and mice here, the total amount of birds and mice (b + m) must equal 12.

b + m = 12

Next, to find the total amount of bird legs, we must add 2 legs for each bird. Another way of putting this is to multiply 2 by the amount of birds, or b * 2. Similarly, the amount of mice legs is equal to m * 4. The total amount of legs is equal to 39, so

2b + 4m = 39

Our two equations are thus

b + m = 12

2b + 4m = 39

One way to solve this is to solve for m in the first equation and plug that into the second. We have

b + m = 12

subtract b from both sides

m = 12-b

substitute that into the second equation

2b + 4(12-b) = 39

2b + 48 - 4b = 39

-2b + 48 = 39

subtract 48 from both sides to isolate the b and its coefficient

-2b = -9

divide both sides by -2 to isolate b

b = 4.5

Therefore, there are 4.5 birds on the ground (there is somehow a half of a bird!)

Plugging that into m = 12-b, we have m = 12-4.5 = 7.5

Answer:

Step-by-step explanation:

Side a is across from angle A, and side c is the hypotenuse. The trig ratio that utilizes the side opposite and the hypotenuse is the sin of an angle, namely:

[tex]sin(30)=\frac{28}{c}[/tex] and solving that for c:

[tex]c=\frac{28}{sin(30)}[/tex] so

c = 56

Step-by-step explanation:

[tex] \sin(x) = \frac{12}{13} [/tex]

The value of the trigonometric ratio are;  [tex]\sin(x) = \dfrac{\text{12}}{\text{13}}[/tex].

Trigonometric ratio can be defined in terms of ratios of perpendicular, bases and hypotenuse.

Trigonometric ratio are defined only in right angled triangles (triangles whose one angle is of 90 degree measure).

Trigonometric ratios for a right angled triangle are from the perspective of a particular non-right angle.

In a right angled triangle, two such angles are there which are not right angled(not of 90 degrees).

From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called base.

From that angle suppose its measure is θ,

[tex]\sin(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of Hypotenuse}}[/tex]

[tex]\sin(x) = \dfrac{\text{12}}{\text{13}}[/tex]

Therefore, The value of the trigonometric ratio are;  [tex]\sin(x) = \dfrac{\text{12}}{\text{13}}[/tex].

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Answer:

900°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 7 , then

sum = 180° × 5 = 900°

Let the adding value be x

ATQ

[tex]\\ \sf\longmapsto \dfrac{2+x}{5+x}=\dfrac{5}{6}[/tex]

[tex]\\ \sf\longmapsto 6(2+x)=5(5+x)[/tex]

[tex]\\ \sf\longmapsto 12+6x=25+5x[/tex]

[tex]\\ \sf\longmapsto 6x-5x=25-12[/tex]

[tex]\\ \sf\longmapsto x=13[/tex]

Answer:

Shannon

Step-by-step explanation:

Cuando se habla de lo que uno tiene, podemos usar números positivos.

Por ejemplo:

Pedro tiene 10 manzanas.

Para el caso de deudas, utilizamos números negativos, por ejemplo:

Pedro tiene -10 manzanas

Lo cual significa que Pedro debe 10 manzanas a alguien.

Entonces si le diéramos a Pedro 12 manzanas, el ahora tendría:

-10 + 12 = 2

Pedro tiene 2 manzanas, porque tuvo que entregar 10 de las 12 que le dimos para pagar su deuda.

Ahora vamos a resolver el problema:

La cuenta de Sally tiene un saldo de:

S = -$200.90

El signo negativo quiere decir que Sally tiene una deuda de $200.90

La cuenta de su amiga Shannon tiene un saldo de:

S' = -$240.55

De vuelta, el signo negativo quiere decir que Shannon tiene una deuda de $240.55

Con esto ya podemos concluir que la deuda de Shannon es mayor, por lo tanto Shannon es la que tiene más deuda.

Answer:

A)

Step-by-step explanation:

Volume of a Rectangular Prism Formula: L x W x H

6 yd x 3 yd x 4 yd = 72 yd^3

Answer:

2 : 3

Step-by-step explanation:

We'll begin by calculating the area of the entire garden. This can be obtained as follow:

Length of garden (L) = 12 m

Width of garden (W) = 5 m

Area of entire garden (A) =?

A = L × W

A = 12 × 5

Area of entire garden is 60 m²

Next, we shall determine the area of the garden reserved for flower. This can be obtained as follow:

Length of flower garden (L₁) = 12 – 4

= 8 m

Width of flower garden (W₁) = 3 m

Area of flower garden (A₁) =?

A₁ = L₁ × W₁

A₁ = 8 × 3

A₁ = 24 m²

Next, we shall determine the area of the garden reserved for grass. This can be obtained as follow:

Area of entire garden (A) = 60 m²

Area of flower garden (A₁) = 24 m²

Area of grass garden (A₂) =?

A = A₁ + A₂

60 = 24 + A₂

Collect like terms

A₂ = 60 – 24

A₂ = 36 m²

Finally, we shall determine the ratio of the area of the garden reserved for flowers to the area reserved for grass. This can be obtained as follow:

Area of flower garden (A₁) = 24 m²

Area of grass garden (A₂) = 36 m²

Ratio of flower garden to grass garden = A₁ : A₂

= 24 : 36

= 24 / 36

= 2 : 3

Therefore, the ratio of the area of the garden reserved for flowers to the area reserved for grass is 2 : 3

Answer:

x=y=z=106

Step-by-step explanation:

The upper line is a straight line, so x+74=180, x=106.

y and x are equal in measure as it's a pair of parallel lines and z=y as they are alternate interior angles

Answer:

A=pq/2

=4.25·4.25/2

=9.03125

Step-by-step explanation:

If you like my answer than please mark me brainliest

Answer:

Step-by-step explanation:

Diagonal of rhombus bisect each other.

d₁ = AC = 4.25*2 = 8.5 cm

d₂ = 8.5  {Given diagonals are equal}

Area of rhombus = [tex]\frac{d_{1}*d_{2}}{2} \ where \ d_{1} \ and \ d_{2} \ are \ diagonals[/tex]

                            [tex]=\frac{8.5*8.5}{2}\\\\= \frac{72.25}{2}\\\\= 36.125 \ cm^{2}[/tex]

Answer:

Step-by-step explanation:

Answer:

78.5714

Step-by-step explanation:

given,

radius=5cm

now,

area of circle (A)=

[tex] = \frac{22}{7} \times {5}^{2} \\ \\ \\ = \frac{22}{7} \times 25 \\ \\ = 78.5714 {cm}^{2} [/tex]

Answer:

A

Step-by-step explanation:

simple interest (I) is calculated as

I = [tex]\frac{PRT}{100}[/tex]

P is the principal. R the rate of interest and T the time in years

Here P = 880000, R = 3.5 and T = 2.5 , then

I = [tex]\frac{880000(3.5)(2.5)}{100}[/tex]

 = 8800 × 3.5 × 2.5

 = 77000 → A

Answer:

Yes, both equations are equivalent

Step-by-step explanation:

Simplifying [tex]10x - 3 + 2x - 5[/tex] by combining "like terms" gives us [tex]12x-8[/tex].

Now, to solve "four (3X - 2)", we need to use the distributive property. Doing [tex](4\cdot3x)-(4\cdot2)[/tex] gives us [tex]12x-8[/tex] again.

Therefore, [tex]10x - 3 + 2x - 5[/tex] and four (3X -2) are equivalent!

(Hope this helped you! If any part of the explanation doesn't make sense, or the answer is incorrect/not the answer you we're looking for, then please tell me and I will try to fix my answer as soon as possible)

Answer:

Step-by-step explanation:

Answer:

$399.45

Step-by-step explanation:

all you gotta do is

11.25×35.5

Answer:

The required sum is 392

Step-by-step explanation:

Given the sum as shown;

[tex]\sum \left \77} \atop {a=1}} \right. (3a^2-4)[/tex]

When n = 1

f(1) = 3(1)²-4

f(1) = 3 - 4

f(1) = - 1

When n = 2

f(2) = 3(2)²-4

f(2) = 12 - 4

f(2) = 8

When n = 3

f(3) = 3(3)²-4

f(3) = 27 - 4

f(3) = 23

When n = 4

f(4) = 3(4)²-4

f(4) = 48 - 4

f(4) = 44

When n = 5

f(5) = 3(5)²-4

f(5) = 75 - 4

f(5) = 71

When n = 6

f(6) = 3(6)²-4

f(6) = 108 - 4

f(6) = 104

When n = 7

f(7) = 3(7)²-4

f(7) = 147 - 4

f(7) = 143

Taking their sum

Sum = f(1)+f(2)+(3)+f(4)+f(5)+f(6)+f(7)

Sum = -1 + 8 + 23 + 44 + 71 + 104 + 143

Sum = 392

Hence the required sum is 392

Answer:

x=2

y=-3

Step-by-step explanation:

2x+y = 1

3x+2y = 0

Multiply the first equation by -2

-4x-2y = -2

Add this to the second equation

-4x-2y = -2

3x+2y = 0

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

-x = -2

Multiply by -1

x = 2

Now find y

2x+y = 1

2(2) +y = 1

4 +y = 1

Subtract 4 from each side

y = 1-4

y = -3

Answer: y = -2x + 1

Solution to the system: (2,-3)

Step-by-step explanation:

2x + y = 1

3x + 2y = 0

We can solve this using substitution

The first thing that we're going to want to do is solve for y in the first equation

Solve for y

2x + y = 1

Subtract 2x from both sides

y = 1 - 2x

We now have the two equations

y = -2x + 1 and 3x + 2y = 0

The next step in solving the system is to plug in the expression of y ( -2x + 1) into the second equation

3x + 2y = 0

Substitute -2x + 1 for y

3x + 2(-2x + 1) = 0

Now solve for x

Distribute the 2 to the -2x and 1

2 * -2x = -4x

2 * 1 = 2

We now have 3x - 4x + 2 = 0

Combine like terms

-x + 2 = 0

Add x to both sides

2 = x

Now to find the value of y we substitute the value of x into one of the equations and solve for y

2x + y = 1

x = 2

2(2) + y = 1

Multiply

4 + y = 1

Subtract 4 from both sides

y = -3

The solution to the system is (2,-3)

And we are done!

Answer:

y = - [tex]\frac{3}{2}[/tex] x + 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{2}{3}[/tex] x + [tex]\frac{2}{3}[/tex] ← is in slope- intercept form

with slope m = [tex]\frac{2}{3}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{2}{3} }[/tex] = - [tex]\frac{3}{2}[/tex] , then

y = - [tex]\frac{3}{2}[/tex] x + c ← is the partial equation

To find c substitute (- 2, 4) into the partial equation

4 = 3 + c ⇒ c = 4 - 3 = 1

y = - [tex]\frac{3}{2}[/tex] x + 1 ← equation of line

Answer:

x = 12 , s = 41

Step-by-step explanation:

The sides of a square are equal , so

4x - 7 = 3x + 5 ( subtract 3x from both sides )

x - 7 = 5 ( add 7 to both sides )

x = 12

Then

length of side s is

s = 4x - 7 = 4(12) - 7 = 48 - 7 = 41

Answer:

Step-by-step explanation:

1) 76*.67 = 50.9

   73 * .33 = 24.1

75% = C

2) .3 * 71 + .3*77+ .4*98=

  21.3+23.1+39.2 = 83.6

83.6 = B

3) 73.24  vs.  68.55

hw   88 22 13.2

cp   84 8.4 8.4

test  59 23.6 35.4

fe  77 19.25  11.55

             tats      ester

totals = 73.24    68.55

Answer:

So the greatest common factor 85 and 95 is 5.

Step-by-step explanation:

We will now calculate the prime factors of 85 and 95, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85 and 95.

We will first find the prime factorization of 85 and 95. After we will calculate the factors of 85 and 95 and find the biggest common factor number .

Prime factors of 85 are 5, 17. Prime factorization of 85 in exponential form is:

85 = 5^1 × 17^1

Prime factors of 95 are 5, 19. Prime factorization of 95 in exponential form is:

95 = 5^1 × 19^1

List of positive integer factors of 85 that divides 85 without a remainder.

1, 5, 17

We found the factors and prime factorization of 85 and 95. The biggest common factor number is the GCF number.

So the greatest common factor 85 and 95 is 5.

Answer:

38318

Step-by-step explanation:

Break the numbers into prime factors

46 = 23*2

49 = 7*7

17 = 17*1

The least common multiple is

23*2*7*7*17 = 38318

Answer:

D

Step-by-step explanation:

The quotient of n and 8 is [tex]\frac{n}{8}[/tex] and 13 more than this is

[tex]\frac{n}{8}[/tex] + 13 → D

Answer:

5.3

Step-by-step explanation:

a^2+6^2=8^2.

a^2=64-36. a=2*sqrt(7)=5.3

Answer:

Oxygen; 34.01°C

Step-by-step explanation:

The oxygen freezes first as it has a higher (warmer) freezing point. For both to freeze, the temperature must drop a further 34.01°C as:

-218.79 - (-252.8)

= 252.8 - 218.79

= 34.01

Answer:

B. 24 sqrt 10

Step-by-step explanation:

Hope this helped.

Answer:

11√5

Step-by-step explanation:

just putting the question with the symbols here so its easier to find for others

Which choice is equivalent to the expression below? 3√5+8√5

A. 24√5
B. 24√10
C. 11√10
D. 11√5