A car travels 88 miles in 1 hours
(with a constant speed). How far
can it travel in 2 hours (with the
same speed)?

Answer:

1

Step-by-step explanation:

i did it

Answer:

y = -3/2x - 2.5

Step-by-step explanation:

First, identify the slope by using y-y1/x-x1

2- -1 = 3, -3 - -1 = -2 the slope is -3/2

Then, you have y = -3/2x + b

To find b, you have to plug in a value of x and y

I will use the point (-3,2) for this example.

2 = -3(-3/2) + b

2 = 9/2 + b

2 = 4.5 + b

b = -2.5

Once you assemble your equation, you should get y = -3/2x - 2.5

9514 1404 393

Answer:

  8.39

Step-by-step explanation:

In the right triangle, the hypotenuse and side opposite the angle are shown. The applicable trig relation is ...

  Sin = Opposite/Hypotenuse

  Opposite = Hypotenuse × Sin

  x cm = (15 cm)×sin(34°)

  x ≈ 8.39

Answer:

18 pounds of beef.

Step-by-step explanation:

For every 0.5 cups of breadcrumbs there's 2 pounds of beef.

0.5 x 9 = 4.5

9 x 2 = 18 or 2 x 9 = 18

multiples of two: 2 4 6 8 10 12 14 16 18

This shows that when we multiply 2 nine times we get 18!

Answer:

X : ___ 0 ____ 1 _____ 2 _____ 3 _____ 4

P(x): _ 1/16 __ 1/4 ____ 3/8 ____ 1/4 ____ 1/16

Step-by-step explanation:

Given the listed possible occurrence of boys and girls :

B = boys ; G = girls

BBBB, BBBG, BBGB, BGBB, GBBB, BGBG, GBGB, BGGB, GBBG, BBGG, GGBB, BGGG, GBGG, GGBG, GGGB, and GGGG

Let x = distribution of girls

P = required outcome / Total possible outcomes

For :

x = 0 ;(BBBB) = 1

P(x) = 1/16

x = 1 ; (BBBG, BBGB, BGBB, GBBB) = 4

P(x) = 4 / 16 = 1/4

P(x = 2) ; (BGBG, GBGB, BGGB, GBBG, BBGG, GGBB) = 6

P(x) = 6 / 16 = 3/8

P(x = 3) ; (BGGG, GBGG, GGBG, GGGB) = 4

P(x) = 4 / 16 = 1/4

P(x = 4) ; (GGGG) = 1

P(x) = 1 / 16

X : ___ 0 ____ 1 _____ 2 _____ 3 _____ 4

P(x): _ 1/16 __ 1/4 ____ 3/8 ____ 1/4 ____ 1/16

Answer:

100,000

Step-by-step explanation:

Answer:

80 percent but could you please take a picture of the question...

Step-by-step explanation:

Answer:

L.c.m of 3 and 6 is 6

Answer:

Lcm of 3&6 is:

3*2 & 6*1 (DONE LIKE THIS BECAUSE THAT LCM OF 3 & 6 IS FOUND TO BE 6 AS BOTH 3 & 6 HAS THE SMALLEST COMMON MULTIPLE AS 6)

6  & 6

There fore LCM is 6

Answer:

im pretty sure its 1

Step-by-step explanation:

Answer:

the answer is (3 4)

Step-by-step explanation:

Answer:

(a) 1) When V = 1000 L, the height of the liquid in the tank is approximately 62 cm

2) When V = 5,000 L, the height of the liquid in the tank is approximately 106 cm

3) When V = 10,000 L, the height of the liquid in the tank is approximately 202 cm

b) The drawing of the spherical tank showing the height of the liquid level for each volume created with Microsoft Excel is attached

Step-by-step explanation:

(a) The height of the spherical tank = 3 m

The diameter of the spherical tank, d = 3 m

The capacity of the spherical tank = 14,000 L

The volume of a sphere, V = (4/3) × π × r³ =

Where, r = d/2

∴ r = 3 m/2 = 1.5 m

V = (4/3) × π × (1.5)³ ≈ 14.1371669412 m³

Using calculus, we have;

[tex]V = 2 \times \pi \times \int\limits^r_{0} {(r^2 - y^2)} \, dx = 2 \times \pi \times \left[r^2 \cdot y - \dfrac{y^3}{3} \right]^y_0[/tex]

For the two halves, we have;

[tex]V = \pi \times \left[r^2 \cdot y - \dfrac{y^3}{3} \right]^{\dfrac{y}{2}} _0 + \pi \times \left[r^2 \cdot y - \dfrac{y^3}{3} \right]^y_{\dfrac{y}{2}}[/tex]

[tex]V = 2 \times \pi \times \left[y^3- \dfrac{y^3}{3} \right]^y_0 = \dfrac{4 \cdot \pi \cdot y^3}{3}[/tex]

1) For V = 1000 L, we have;

[tex]1000 \ L = \dfrac{4 \cdot \pi \cdot y^3}{3}[/tex]

1000 L =

When V = 1000 L, we have;

[tex]y = \sqrt[3]{\dfrac{3 \times 1 \, m^3}{4 \times \pi } } \approx 0.62 \ m[/tex]

The liquid level, y ≈ 0.62 m = 62 cm

2) When V = 5,000 L, we have;

[tex]y = \sqrt[3]{\dfrac{3 \times 5 \, m^3}{4 \times \pi } } \approx 1.06 \ m[/tex]

The liquid level, y ≈ 1.06 m = 106 cm

3) When V = 10,000 L, we use the height of the unfilled volume at the top which is the volume of the sphere less the 10,000 L as follows;

For the volume of the sphere of 14,000 L, we have;

Volume at the top = 14,000 L - 10,000 L = 4,000 L = 4 m³

Therefore

[tex]y_{top} = \sqrt[3]{\dfrac{3 \times 4 \, m^3}{4 \times \pi } } \approx 0.985 \ m[/tex]

The height of the liquid in the tank, y = d - [tex]y_{top}[/tex]

∴ y = 3 m - 0.985 m = 2.015 m

The liquid level, y ≈ 2.015 m = 201.5 cm ≈ 202 cm

b) Please find attached the drawing of the spherical tank created with Microsoft Excel

a) (i) The level line for 1000 liters is set at a height of 0.486 meters.

(ii) The level line for 5000 liters is set at a height of 1.203 meters.

(iii) The level line for 10000 liters is set at a height of 1.926 meters.

b) The sphere is represented by the equation [tex]x^2+(y-1.5)^{2} = 2.25[/tex] and the level lines are represented by the linear functions [tex]y = 0.486[/tex], [tex]y = 1.203[/tex] and [tex]y = 1.926[/tex]. Please see the second image attached.

a) First, we derive an expression for the volume of a spherical section ([tex]V[/tex]), in cubic meters, in terms of tank radius ([tex]R[/tex]), in meters, and liquid height ([tex]h[/tex]), in meters. The volume can be found by using the slicing method integral equation:

[tex]V = \int\limits^{H}_{0} {A(h)} \, dh[/tex] (1)

Where:

If we know that [tex]A = \pi\cdot [R^{2}-(R-h)^{2}][/tex], then the volume formula is:

[tex]V = \pi\int\limits^H_0 {h\cdot (2\cdot R-h)} \, dh[/tex]

[tex]V = 2\pi\cdot R\int\limits^{H}_{0} {h} \, dh - \pi \int\limits^{H}_{0} {h^{2}} \, dh[/tex]

[tex]V = \pi\cdot R\cdot H^{2}-\frac{\pi\cdot H^{3}}{3}[/tex]

Then we obtain the following third order polynomial:

[tex]\frac{\pi\cdot H^{3}}{3}-\pi\cdot R\cdot H^{2}+V = 0[/tex] (2)

Now we proceed to solve numerically for each case:

[tex]H = 0.486\,m[/tex]

The level line for 1000 liters is set at a height of 0.486 meters. [tex]\blacksquare[/tex]

[tex]H = 1.203\,m[/tex]

The level line for 5000 liters is set at a height of 1.203 meters. [tex]\blacksquare[/tex]

[tex]H = 1.926\,m[/tex]

The level line for 10000 liters is set at a height of 1.926 meters. [tex]\blacksquare[/tex]

b) The sphere is represented by the equation [tex]x^2+(y-1.5)^{2} = 2.25[/tex]level lines are represented by the linear functions [tex]y = 0.486[/tex], [tex]y = 1.203[/tex] and [tex]y = 1.926[/tex]. By a graphing tool we have the following result. [tex]\blacksquare[/tex]

To learn more on volumes, we kindly invite to check this verified question: https://brainly.com/question/1578538

Answer:

Step-by-step explanation:

Y varies directly with x:

y=kx

for some non-zero constant k

substitute y=150 and x=3:

150=3k

k=50

When y=600:

600=(50)x

x=12

Answer:

50

Step-by-step explanation:

Let's say the smaller number is x then

x + x + 2 = 98

2x+2 = 98

2x = 96

x = 48

==> 48, 50

The sum of two consecutive even integers is 98 has 50 as larger number.

Given that the sum of two consecutive even integers is 98, we need to find the larger number,

Let's denote the two consecutive even integers as x and x + 2. According to the given information, their sum is 98.

So we can write the equation:

x + (x + 2) = 98

Simplifying the equation:

2x + 2 = 98

Subtracting 2 from both sides:

2x = 96

Dividing both sides by 2:

x = 48

Therefore, the larger number (x + 2) is:

48 + 2 = 50

So, the larger number is 50.

Learn more about Consecutive Numbers click;

https://brainly.com/question/29775116

#SPJ4

divide 10 by 2.40 it gives you a decimal 4.16 and go on. Round it and its 4.20.

Answer:

[tex]x = 5[/tex]

[tex]R = C = 225[/tex]

Step-by-step explanation:

Given

[tex]C = 15x + 150[/tex]

[tex]R = 45x[/tex]

Required

The break even point

To do this, we make use of:

[tex]R =C[/tex]

[tex]45x=15x + 150[/tex]

Collect Like Terms

[tex]45x-15x = 150[/tex]

[tex]30x = 150[/tex]

[tex]x = 5[/tex]

Substitute 5 for x in [tex]R = 45x[/tex]

[tex]R = 45 * 5[/tex]

[tex]R = 225[/tex]

Hence, the break even point is:

[tex]x = 5[/tex]

[tex]R = C = 225[/tex]

Answer:

1428 (1-0.385) = 878.22

Step-by-step explanation:

Answer:

17, 18

Step-by-step explanation:

closest perfect square that is lower than 307 is 289

closest perfect square that is greater than 307 is 324

[tex]\sqrt{289} < \sqrt{307} < \sqrt{324}[/tex]

[tex]17<\sqrt{307} <18[/tex]

Answer:

2

Step-by-step explanation:

.....................

Answer

60

Step-by-step explanation:

105+15= 120

180-120=60

I think this is the correct answer but I dont know

Answer:

40

Step-by-step explanation:

-5 * (-8) = 40

Answer:

40

Step-by-step explanation:

Because multiplication of subtract will be added

Answer:

x = -22/3 and y = -1

Step-by-step explanation:

First, simplify the equation 12x + 20y = -108 by dividing both sides by 4:

3x + 5y = -27

now, you can subtract the two equations:

3x + 5y = -27

- (3x - 12y = -10)

17y = -17

y = -1

plug y = -1 into the equation 3x - 12y = -10

3x - 12 *(-1) = -10

3x + 12 = -10

3x = -22

x = -22/3

Answer:

-(22/3,-1)

Step-by-step explanation:

Answer:

1.56%

Step-by-step explanation:

A standard deck of cards has 52 cards, and 13 of these are hearts, as there are 4 suits, and 52/4=13. This means the probability of choosing a heart card from a deck of cards is 1/4, or 25%. Now to find the probability of doing this from 3 decks in a row, we simply cube 1/4 to get 1/64, and in percentage this is ~1.56%.

Answer: 1.56%

Step-by-step explanation: there's really nothing to explain here.

Quiz From Buzz (Acceleration Education)

Hope it helps you!

Answer:

For Year Ended 2013    

(in thousands)    

Cash flow From Operations BLANK    

Net Income   792,000

Add:    

Depression Expense   300,000

Amortization expense   12,000

Less:    

Gain on Sale of Investments    

Accounts receivable (net)   -180,000

Inventory   18,000

Accountable Payable Answer   60,000

Cash Flow From Operations   1,002,000

Cash Flow for Investing    

Marketable securities   -240,000

Long-term investments   96,000

Purchase of property and equipment    -1,380,000

Sale of Property and Equipment    280,000

Cash Flow for Investing    -1,244,000

Cash From Financing    

Short-term bank debt   228,000

Common stock + additional paid in capital   96,000

Dividends Paid   8,000

Cash From Financing   332,000

Decrease in Cash    90,000

Cash, beginning of year   18,000

Cash, end of year   108,000

   108,000

   0

Step-by-step explanation:

Assets    

Current    

Cash  $18,000  $108,000

Marketable securities  240,000  

Accounts receivable (net)  708,000  528,000

Inventory  720,000  738,000

Total current assets  1,686,000  1,374,000

Noncurrent    

Long-term investments  372,000  468,000

Property & equipment  2,160,000  1,320,000

Less: Accumulated depreciation  -600,000  -600,000

Property & equipment (net)  1,560,000  720,000

Intangibles (net)  114,000  126,000

Total noncurrent assets  2,046,000  1,314,000

Total assets  $3,732,000  $2,688,000

Liabilities & Shareholders' Equity    

Accounts payable  $1,080,000  $1,020,000

Short-term bank debt  228,000  

Total liabilities  1,308,000  1,020,000

Shareholders' equity    

Common stock, $10 par value  930,000  810,000

Additional paid-in-capital  456,000  360,000

Retained earnings  1,038,000  498,000

Total shareholders' equity  2,424,000  1,668,000

Total liabilities & shareholders' equity  $3,732,000  $2,688,000

AMPHLETT CORPORATION    

Consolidated Income Statement    

For Year Ended ($ thousands)  2013  2012

Revenues  $1,716,000  $1,440,000

Less: Cost of goods sold  600,000  504,000

Gross margin  1,116,000  936,000

Less: Selling, general & administrative expenses  180,000  144,000

Operating income  936,000  792,000

Gain on sale of investments  84,000  

Net income before taxes  852,000  792,000

Less: Income taxes  60,000  13,200

Net income after taxes  $792,000  $778,800

For Year Ended 2013    

(in thousands)    

Cash flow From Operations BLANK    

Net Income   792,000

Add:    

Depression Expense   300,000

Amortization expense   12,000

Less:    

Gain on Sale of Investments    

Accounts receivable (net)   -180,000

Inventory   18,000

Accountable Payable Answer   60,000

Cash Flow From Operations   1,002,000

Cash Flow for Investing    

Marketable securities   -240,000

Long-term investments   96,000

Purchase of property and equipment    -1,380,000

Sale of Property and Equipment    280,000

Cash Flow for Investing    -1,244,000

Cash From Financing    

Short-term bank debt   228,000

Common stock + additional paid in capital   96,000

Dividends Paid   8,000

Cash From Financing   332,000

Decrease in Cash    90,000

Cash, beginning of year   18,000

Cash, end of year   108,000

   108,000

   0

Answer:

$17.10

Step-by-step explanation:

Almonds being on sale

$3.8 per pound

4.5 pounds

___________________

We know that for every pound, the cost is three dollars and eighty cents, we are looking for 4.5 pounds in total.

Multiply the amount per pound to the amount of pounds being asked :

3.8 * 4.5

$17.10

Answer:

7.000002427×10¹⁶

Answer:  

723555545997

Step-by-step explanation:

I hope this helps, i had to use a calculator because that was a long math equation question, I mean, who else can't do that?

And plz rate it 5 starts, give brainilest, and thank me

Answer:

I think it is 275 if you are subtracting