The partial pressure of carbon dioxide in a mixture is 0.31 atm.

If the mole fraction of the carbon dioxide is 0.46, what is the

total pressure of the mixture?

Answer: There are 10 two points and 16 five points questions.

Step-by-step explanation:

This is the detailed question:

A language arts test is worth 100 points. There are a total of 26 questions. There are spelling word questions that are worth 2 points each and vocabulary word questions worth 5 points each. How many of each type of question is there?

Let y = the number of 2 points questions

Let z = the number of 5 points questions

y + z = 26 ......... i

2y + 5z = 100 ........ ii

Multiply equation i by 2

Multiply equation ii by 1

2y + 2z = 52 ......... iii

2y + 5z = 100 ....... iv

Subtract iv from iii

-3z = -48

z = 48/3

z = 16

Since y + z = 26

y = 26 - 16

y = 10

y = 10 two points questions

z = 16 five points questions

There are 10 two points and 16 five points questions.

Answer:

71.25%.

Step-by-step explanation:

To find the average, we can simply add up the percentages and divide by how many there are.

We can do this by:

[tex]\frac{81 + 90 + 80 + 34}{4}[/tex] = 71.25%

The formula to calculate the area of a trapezoid is as follow:

4 * (8 + 16) * 1/2

Answer:

trapezoid area :(a+b)/2 ×h

(16+ 8)/2 ×4

=48

Answer:

The order from top is

8 - 3

1 - 35

3 - 50

7 - 3/5

Step-by-step explanation:

Answer:

580 cm^2

Step-by-step explanation:

H = Height

L = length

W = width

2(HL)+2(WH)+2(WL)

= 2(20*10)+2(3*20)+2(3*10)

= 2(200)+2(60)+2(30)

= 400+120+60

= 580

Answer:

a=  initial amount

r= rate of growth/decay

t= time

Step-by-step explanation:

Answer:

13p

Step-by-step explanation:

because the P it have 1 hidden there

12p + 1p = 13p

Answer:

y + 21 = - 4(x - 7)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (7, - 21) and (x₂, y₂ ) = (- 4, 23)

m = [tex]\frac{23+21}{-4-7}[/tex] = [tex]\frac{44}{-11}[/tex] = - 4

Using m = - 4 and (a, b) = (7, - 21), then

y - (- 21) = - 4(x - 7), that is

y + 21 = - 4(x - 7)

Answer:

Leroy ate the most

Step-by-step explanation:

We have been given that in ΔRST, s = 93 inches, ∠S=123° and ∠T=28°. We are asked to find the length of r to the nearest 10th of an inch.

We will use law of sines to solve for side r.

[tex]\frac{a}{\text{Sin}(a)}=\frac{b}{\text{Sin}(B)}=\frac{c}{\text{Sin}(C)}[/tex], where a, b and c are corresponding sides to angles A, B and C respectively.

Let us find measure of angle S using angle sum property of triangles.

[tex]\angle R+\angle S+\angle T=180^{\circ}[/tex]

[tex]\angle R+123^{\circ}+28^{\circ}=180^{\circ}[/tex]

[tex]\angle R+151^{\circ}=180^{\circ}[/tex]

[tex]\angle R+151^{\circ}-151^{\circ}=180^{\circ}-151^{\circ}[/tex]

[tex]\angle R=29^{\circ}[/tex]

[tex]\frac{r}{\text{sin}(R)}=\frac{s}{\text{sin}(S)}[/tex]

[tex]\frac{r}{\text{sin}(29^{\circ})}=\frac{93}{\text{sin}(123^{\circ})}[/tex]

[tex]\frac{r}{\text{sin}(29^{\circ})}\cdot \text{sin}(29^{\circ})=\frac{93}{\text{sin}(123^{\circ})}\cdot \text{sin}(29^{\circ})[/tex]

[tex]r=\frac{93}{0.838670567945}\cdot (0.484809620246)[/tex]

[tex]r=110.889786233799179\cdot (0.484809620246)[/tex]

[tex]r=53.7604351[/tex]

Upon rounding to nearest tenth, we will get:

[tex]r\approx 53.8[/tex]

Therefore, the length of r is approximately 53.8 inches.

Answer:

y = 1/3X - 6

Step-by-step explanation:

Answer:

Area = (1/2) * side 1 * side 2 * sine (73 degrees)

Area = (1/2) * 6 *  8 * .9563

Area = 22.9512  square feet

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Area = ½ a b sinC

= ½ × 6 × 8 × sin(73)

= 22.9513141431

To the nearest tenth: 23.0 ft²

Answer:

2π|b| 2 π | b

Step-by-step explanation:

Answer:

C) 104 units^3

Step-by-step explanation:

The formula for volume in a rectangular prism is V=lwh

There are three total rectangular prisms, so take the volume of each individual prism and add them together to get the total volume.

smallest: V=(2)(2)(4) = 16

Medium: (2)(2)(6) = 24

Largest: (2)(2)(16) = 64

Add it together: 16+24+64= 104

Your answer is 104 units^3

:)

Answer:

204

Step-by-step explanation:

3.4[6(4)+6^2]=

3.4[24+36]=

3.4[60]=

204

Hope this helps!

Answer:

infinitely many solutions

Step-by-step explanation:

Reduce the second equation by dividing all three terms by 3:  y + 1 = 2x.  Then compare this result to the first equation 2x - y = 1.  Noe that these two equations are identical.  Thus, the two lines coincide.  There are "infinitely many solutions."

Answer:

x=2

Step-by-step explanation:

2x = 4  and your multiplying 2 times x so x would have to be equal to 2 time blank which equals 4

Hope it helps!

Answer:

x = 4.0 yd

Step-by-step explanation:

The area of a rectangle is given by

lw = A

11.8x = 47.6

Divide each side by 11.8

11.8x/11.8 = 47.6/11.8

x =4.033898305

To the nearest tenth

x = 4.0

Answer:

algebraic equation; 11.8x = 47.6

width = 4.0

Step-by-step explanation:

solve the algebraic equation to get x, the width.

11.8x = 47.6

divide both sides by 11.8 and you will get 4.0338.....

round off to nearest tenths to remain with 4.0

Complete question is:An orange is shot up into the air with a catapult. The function h given by h(t) = 15 + 60t - 16t² models the orange’s height, in feet, t seconds after it was launched.

Select all the true statements about the situation.

Options:

1. The domain of function h only contains values greater than or equal to 0.

2. The orange is at the same height 1 second after launch and 2 seconds after launch.

3. After 3 seconds, the orange has hit the ground.

4. The orange is 15 feet above the ground when it is launched.

5. The value t = 10 does not belong to the domain of h.

Answer:

Option 1 - True

Option 2 - False

Option 3 - False

Option 4 - True

Option 5 - True

Step-by-step explanation:

Looking at the options,

-The domain is the x or t value and it is time. Now, time can only be positive or greater than or equal to zero i.e. t ≥ 0. Thus, option 1 is true.

- At t = 1 second;

h = 15 + 60(1) - 16(1)²

h = 15 + 60 - 16 = 59 ft

Also, at t = 2 seconds;

h = 15 + 60(2) - 16(2)²

h = 15 + 120 - 64 = 71 ft

So,value of h is not the same at t = 1 and t = 2. Thus, option 2 is not true.

- The orange will hit the ground when h(t) = 0.

However, at t = 3;

h(t) = 15 + 60(3) - 16(3)²

h(t) = 51 ft

h(t) is not equal to zero at t = 3, so option 3 is false

- when the orange is launched it is at time t = 0.

Thus,

h(0) = 15 + 60(0) - 16(0)²

h(0) = 15 ft

So option 4 is true.

- At t=10, h(t) = 15 + 60(10) - 16(10)²

h(10) = -985

This means the orange would be below ground level and thus doesn't belong to the domain of h, so option 5 is true.

Answer:

1 true 4 true and 5 true the rest are false

Step-by-step explanation:

Answer: 15 Gray or white Marbels!

Step-by-step explanation:

Answer:

18,223 feet

Step-by-step explanation:

y= -16t^2 + 608t + 12,447.

y = -16(t² - 38t) + 12447

y = -16[t² - 2(t)(19) + 19² - 19²] + 12447

y = -16(t - 19)² - 16(-19²) + 12447

y = -16(t - 19)² + 18223

Vertex: (19, 18223)

Max height is 18,223 at t = 19

The parabolas are:

a = -16

b = 608

c = 12,447

x_v = -b/2a

t_v = -608/2(-16)

t_v = -608/-32

t_v = 19

Plug in t_v = 19 to find y_v

y = -16(19)^2 + 608(19) + 12,447

y = -16(361) + 11,552 + 12,477

y = -5,776 + 11,552 + 12,477

y = 18,253

We have the point (19, 18,253)

The max height is at 18,253 when t = 19

Best of Luck!

Answer: option C.

Step-by-step explanation:

If city X is in the point (0,0)

Now, we can use that a displacement of L in distance with an angle A, gives us that the components of the displacement are:

X = L*cos(A)

Y = L*sin(A)

So we know that the city Y is located in:

(40m*cos(40°), 40m*sin(40°))

Now, from this point he moves other 40m with an angle of 140°.

The new position is

(40m*cos(40°) + 40m*cos(140°), 40m*sin(40°) + 40m*sin(140°))

this is:

40m*(cos(40°) + cos(140°), sin(40°) + sin(140°)) = 40m*( 0, 1.28)

the new position is (0, 51.2m)

This means that for a new displacement L and angle A we have:

X = L*cos(A) = 0

Y = L*sin(A) = 51.2m

Cos(A) is only 0 when A = 90° or 270°,

and we know that sin(90°) = 1 and sin(270°) = -1

As we have a positive number in the Y equation, we can conclude that A must be 90°.

Then

Y = L*sin(90°) = L = 51.2m

Here we finded that the bearing of Z from city X is 90°

Answer:

okay so u have a graph

u go to the center 0,0

u go up 2 places

then up 3 ove to the left 5

the repeat that step

u get it

Step-by-step explanation:

Answer: 3 feet by 10 feet rectangle

===========================================================

Explanation:

Assuming this garden is a rectangle, it has dimensions L and W which are the length and width respectively.

perimeter of rectangle = 2*(length+width)

P = 2*(L+W)

26 = 2(L+W) ... plug in given perimeter

26/2 = L+W .... divide both sides by 2

13 = L+W

13-W = L  .... isolate L by subtracting W from both sides

L = 13-W

------

Area of rectangle = Length*Width

A = L*W

A = (13-W)W .... replace L with 13-W

A = W(13-W)

A = 13W - W^2 ..... distribution

30 = 13W - W^2 .... plug in given area A = 30

W^2 - 13W + 30 = 0 ... get everything to one side

(W - 10)(W - 3) = 0 ...... factor

W-10 = 0 or W-3 = 0 ...... zero product property

W = 10 or W = 3

----------

If the width is W = 10, then

L = 13-W

L = 13-10

L = 3 is the length

Or if the width is W = 3, then

L = 13-W

L = 13-3

L = 10 is the length

Either way, this is a 3 ft by 10 ft rectangle

--------

Check:

Area = length*width = 10*3 = 30 square feet

perimeter = 2(length+width) = 2*(10+3) = 2*13 = 26 feet

or you could say

perimeter = L+W+L+W = 10+3+10+3 = 13+13 = 26 feet

we get the correct area and perimeter, so this confirms our answer.

Answer:

h ≈ 2.64ft

Step-by-step explanation:

A = 2πrh + 2πr2

h= A /2πr﹣r = 240 /2·π·5﹣5 ≈ 2.63944ft

Kono Dio Da!!