All categories

2 years ago

(1 pc

Mathematics

1 answer:

Ahat [919]2 years ago

4 0

Answer:

8cups

Step-by-step explanation:

if it takes 4-cups for 4-dozen. That's 1-cup each dozen so 8-dozen is 8-cups

You might be interested in

As you can see I keep getting questions wrong.... Can you answer the last question?

aivan3 [116]

Answer:

y = 0

Step-by-step explanation:

It is always a good idea to look at the question and make some observations about it. Here, you might observe ...

all of the bases are powers of 3: 243 = 3^5; 9 = 3^2
y is a factor of every exponent

The latter observation is important, because it means that when y=0, every exponential expression has a value of 1. Hence y = 0 is a solution.

To solve the equation, you can write it in terms of powers of 3.

(3^5)^(-y) = (3^-5)^(3y)·(3^2)^(-2y)

3^(-5y) = 3^(-15y)·3^(-4y)

3^(-5y) = 3^(-19y)

-5y = -19y . . . . . . . . equating exponents; equivalent to taking log base 3

14y = 0 . . . . . . . . . . add 19y

y = 0 . . . . . . . . . . . one solution

______

The rules of exponents we used are ...

(a^b)(a^c) = a^(b+c)

(a^b)^c = a^(bc)

1/a^b = a^-b

4 0

3 years ago

Mr. Bobby plans to spend no more than $200 on pizza and soda for a party. Each pack of soda costs $5.00 and each pizza costs $8.

goldfiish [28.3K]

Answer:

6yr

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre

Alekssandra [29.7K]

In the given figure we can determine the coordinate of point M from the graph, we get:

$M=(\frac{d}{2},\frac{c}{2})$

We can also determine the coordinates of point N as:

$N=(\frac{a+b}{2},\frac{c}{2})$

Now, to determine the length of segment MN, we need to subtract the x-coordinate of M from the coordinates of N, we get:

$MN=\frac{a+b}{2}-\frac{d}{2}$

Subtracting the fractions we get:

$MN=\frac{a+b-d}{2}$

Now, to obtain the length of AB we need to subtract the x-coordinate of A from the x-coordinate of B.

The coordinates of A are determined from the graph:

$A=(0,0)$

The coordinates of B are:

$B=(a,0)$

Therefore, the length of segment AB is:

$AB=a$

Now we do the same procedure to determine the segment of CD. The coordinates of C are:

$C=(b,c)$

The coordinates of D are:

$D=(d,c)$

Therefore, CD is:

$CD=b-d$

Now, we determine MN as half the sum of the bases. The bases are AB and CD, therefore:

$MN=\frac{1}{2}(a+b-d)$

Therefore, we have proven that the median of a trapezoid equals half the sum of its bases.

8 0

1 year ago

A tree broke 6 feet from the bottom. If the top landed 12 feet from the base, how tall was the tree before it broke?

spayn [35]

Answer:

7.4 ft

Step-by-step explanation:

7 0

3 years ago

Write an expression using all six trigonometric functions such that the value of the expression is 3.

iren2701 [21]

The trig functions that you need to deal with are
Sine
Cosine
Tangent
Cotangent
Cosecant
Secant

You need to write a single expression using all six trig functions such that the value of the expression equals 3.

To make this as simple as possible, the first thing I would do is look up the values of these functions and identify which ones are equal to either 1/2 or 1.0 or 2.0

sin(30º) = 1/2
sin(90º) = 1
cos(0º) = 1
cos(60º) = 1/2
tan(45º) = 1
csc(30º) = 2
csc(90º) = 1
sec(0º) = 1
sec(60º) = 2
cot(45º) = 1

If we only had to use three trig functions (sin, cos, tan), one possibility is
tan(45º) + cos(0º)/sin(30º) = 1 + 1/(1/2) = 1 + 2 = 3
noticed how I chose one each of the required functions and the operations so that the result = 3.

Now it is up to you to figure out how to combine all six trig functions so that they equal zero. There are many possibilities for you to choose from..

6 0

3 years ago