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Luden [163]
4 years ago
9

Cassie is measuring the volume of her fish tank to find the amount of water needed to fill it. Which unit of measurement should

she use to eliminate the need to write the value in scientific notation?
Mathematics
2 answers:
SpyIntel [72]4 years ago
6 0

Answer:

c

Step-by-step explanation:

gallons

Zolol [24]4 years ago
3 0

Answer:

Gallons

Step-by-step explanation:

Tanks are too big to be measured by teaspoons or pints of water and are typically by gallon.

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I need answer Immediately pls!!!!!!
Illusion [34]

Given:

Total number of students = 27

Students who play basketball = 7

Student who play baseball = 18

Students who play neither sports = 7

To find:

The probability the student chosen at randomly from the class plays both basketball and base ball.

Solution:

Let the following events,

A : Student plays basketball

B : Student plays baseball

U : Union set or all students.

Then according to given information,

n(U)=27

n(A)=7

n(B)=18

n(A'\cap B')=7

We know that,

n(A\cup B)=n(U)-n(A'\cap B')

n(A\cup B)=27-7

n(A\cup B)=20

Now,

n(A\cup B)=n(A)+n(B)-n(A\cap B)

20=7+18-n(A\cap B)

n(A\cap B)=7+18-20

n(A\cap B)=25-20

n(A\cap B)=5

It means, the number of students who play both sports is 5.

The probability the student chosen at randomly from the class plays both basketball and base ball is

\text{Probability}=\dfrac{\text{Number of students who play both sports}}{\text{Total number of students}}

\text{Probability}=\dfrac{5}{27}

Therefore, the required probability is \dfrac{5}{27}.

3 0
3 years ago
11. Find the product: (50z + 20)(10z + 4) ( 1 ) 12. Find the product: (88a + 80)(8a + 8) ( 1 ) 13. Find the product: (40y + zy)(
Vika [28.1K]

Answer:

11. 500z^{2}  +400z+80

12. 704a^2 + 1344a + 640

13. 160y^2 + 44zy^2  + z^2y^2

Step-by-step explanation:

11. (50z + 20)(10z + 4) = ?

Using Formula:

(a+b) (c+d) = a(c+d)+b(c+d)

50z(10z+4) + 20(10z + 4) = \\\Rightarrow 500z^{2} + 200 z+200z+80\\\Rightarrow 500z^{2} +400z+80

12. (88a + 80)(8a + 8) = ?

Using Formula:

(a+b) (c+d) = a(c+d)+b(c+d)

\Rightarrow 88a(8a+8) + 80(8a + 8)\\\Rightarrow 704a^2 + 704a + 640a + 640\\\Rightarrow 704a^2 + 1344a + 640

13. (40y + zy)(4y + zy) = ?

Using Formula:

(a+b) (c+d) = a(c+d)+b(c+d)

\Rightarrow 40y(4y + zy) + zy(4y + zy)\\\Rightarrow 160y^2 + 40zy^2 + 4y^2z + z^2y^2\\\Rightarrow 160y^2 + 44zy^2  + z^2y^2\\

7 0
3 years ago
Write the equation of the conic section satisfying the given conditions. focus at the pole, e = 3/4, horizontal directrix 2 unit
hjlf

Answer:

The equation in the polar form is;

r = \dfrac{6}{4 + 3  \cdot sin(\theta)}

Step-by-step explanation:

 e = 3/4  > 1, we have an hyperbola    

The polar equation of a conic is of the form;

For vertical directrix

r = \dfrac{k \cdot e}{1\pm e \cdot cos (\theta)}

For horizontal directrix

r = \dfrac{k \cdot e}{1\pm e \cdot sin(\theta)}

Where;

k = Distance from the focus to the directrix = 2

We have;

r = \dfrac{2 \cdot \dfrac{3}{4} }{1 + \dfrac{3}{4}  \cdot sin(\theta)}

r = \dfrac{\dfrac{3}{2} }{1 + \dfrac{3}{4}  \cdot sin(\theta)}

Which gives the equation in the polar form as follows;

r = \dfrac{6}{4 + 3  \cdot sin(\theta)}.

8 0
3 years ago
The product of two consecutive odd integers is 63. If x is the smallest of the integers, write an equation in terms of x that de
N76 [4]

9514 1404 393

Answer:

  • x(x+2) = 63
  • 7, 9
  • -9, -7

Step-by-step explanation:

If x is an odd integer, the next greater odd integer is x+2. The product is said to be 63, so the equation is ...

  x(x +2) = 63

__

The equation can be rewritten as ...

  (x +1)² = 64

  x = -1 ±√64 = -1 ±8

The positive solution is x=7, so the positive set of integers is {7, 9}.

The negative solution is x=-9, so the negative set of integers is {-9, -7}.

8 0
3 years ago
3 1/4 - 1 7/8 as a mixed number
dimaraw [331]

Hello there,

3 1/4 - 1 7/8 as a mixed number

Answer: 1\frac{3}{8}

3 0
3 years ago
Read 2 more answers
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