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3 years ago

((14÷2)+((18+5)+4 order of operations and show ur work please

Mathematics

2 answers:

Julli [10]3 years ago

8 0

Answer:

Step-by-step explanation:

In PEMDAS, you do parenthesis first. So you do 14/2 (7) and 18+5 (23).

Now that the parenthesis are gone, adding is the only thing we can do, so you add 7, 23, and 4 to get 34.

blagie [28]3 years ago

6 0

The answer is 34 I think

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students hiked 32 miles on a 4 day hiking trip. at that rate, how many miles will the students hike on a 6 day hiking trip.

Flura [38]

The answer is 48 miles,
They hiked 32 miles for 4 days, make the day only one, so how many miles/day (divide),then 8 miles/day × 6 days = 48 miles

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4 years ago

please help. answer is 62.1m(squared) and the objects are composite! please show the work, no matter what i do i cant seem to ge

yuradex [85]

Answer:

$SA=62.1\ m^2$

Step-by-step explanation:

step 1

Find the surface area of the smaller rectangular prism

$SA=2B+Ph$

where

B is the area of the base

P is the perimeter of the base

h is the height of the prism

$SA=2[(2.5)(1.5)]+2(2.5+1.5)(1.5)$

$SA=7.5+12=19.5\ m^2$

step 2

Find the surface area of the cube

$SA=6s^2$

where

s is the length side of the cube

$SA=6(2.5^2)=37.5\ m^2$

step 3

Find the lateral area of the cylinder

$LA=\pi DL$

where

D is the diameter of the base

L is the length of cylinder

$LA=(3.14)(0.5)(3.5)=5.495\ m^2$

step 4

Find the area of the base of cylinder

$A=\pi r^{2}$

we have

$r=0.5/2=0.25\ m$ ----> the radius is half the diameter

$A=(3.14)(0.25)^{2}=0.19625\ m^2$

step 5

Find the surface are of the composite figure

we know that

The surface area of the composite figure is equal to the surface area of the smaller rectangular prism plus the lateral area of the cylinder, plus the surface area of the cube, minus the area of the two bases of cylinder

$SA=19.5+5.495+37.5-2(0.19625)=62.1\ m^2$

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3 years ago

Find the vertex and the axis of symmetry of the graph of f(x)=3(x+1)^2

lidiya [134]

General form of vertex of a parabola is

y = a(x - b)^2 + c where vertex = (b , c)

for this equation the vertex is at (-1,0).

the axis of symmetry is x = -1

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3 years ago

An ellipse has vertices along the major axis at (0, 8) and (0, -2). The foci of the ellipse are located at (0, 7) and

mr Goodwill [35]

Answer:

The values are a = 5 , b = 3 , h = 0 , k = 3

The equation is x²/9 + (y - 3)²/25 = 1

Step-by-step explanation:

* Lets revise the standard equation of the ellipse

- The standard form of the equation of an ellipse with center (h , k)

and major axis parallel to y-axis is (x - h)²/b² + (y - k)²/a² = 1 , where

-The length of the major axis is 2a

- The coordinates of the vertices are (h , k ± a)

- The length of the minor axis is 2b

- The coordinates of the co-vertices are (h ± b , k)

- The coordinates of the foci are (h , k ± c), where c² = a² - b²

* Now lets solve the problem

∵ The vertices of the ellipse along the major axis are (0 , 8) , (0 , -2)

∴ The major axis is the y-axis

∴ The vertices are (h , k + a) and (h , k - a)

∴ h = 0

∴ k + a = 8 ⇒ (1)

∴ k - a = -2 ⇒ (2)

∵ The foci of it located at (0 , 7) , (0 , -1)

∵ The coordinates of the foci are (h , k + c) and (h , k - c)

∴ h = 0

∴ k + c = 7 ⇒ (3)

∴ k - c = -1 ⇒ (4)

- To find k and a add equations (1) and (2)

∴ (k + k) + (a + - a) = (8 + -2)

∴ 2k = 6 ⇒ divide both sides by 2

∴ k = 3

- Substitute the value of k in equation (1) or (2) to find a

∴ 3 + a = 8 ⇒ subtract 3 from both sides

∴ a = 5

- To find the value of c substitute the value of k in equation (3) or (4)

∴ 3 + c = 7 ⇒ subtract 3 from both sides

∴ c = 4

- To find b use the equation c² = a² - b²

∵ a = 5 and c = 4

∴ (4)² = (5)² - a²

∴ 16 = 25 - b² ⇒ subtract 25 from both sides

∴ -9 = -b² ⇒ multiply both sides by -1

∴ b² = 9 ⇒ take √ for both sides

∴ b = 3

* The values are a = 5 , b = 3 , h = 0 , k = 3

* The equation is x²/9 + (y - 3)²/25 = 1

7 0

3 years ago

Read 2 more answers

The graph still have the same shade. What is the equation of the blue graph?

Andrew [12]

Answer:

G(x) = x²-2

I hope its right

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3 years ago