Solve for t.<br><br>3/4t = 1/4

Rewrite the expression with the given base. 25^3x with a base of 5

spin [16.1K]

$\bf 25=5^2\qquad \qquad 25^{3x}\implies (5^2)^{3x}\implies 5^{2\cdot 3x}\implies 5^{6x}$

6 0

3 years ago

Read 2 more answers

Raul has $40

Oksi-84 [34.3K]

The answer to the problem is b

8 0

2 years ago

Read 2 more answers

Use the unit circle to find sec (-90)

andreyandreev [35.5K]

Using the unit circle, you can visualise the secant as follows:

Draw the vertical line passing trough (1,0)
Extend the radius until it meets this line at point P
The length of OP is the secant of your angle.

Since -90 means that the radius points downwards, it means that the radius is vertical as well, and thus it never meets the vertical line through (1,0).

Thus, the secant is not defined at -90.

In fact, if we switch back to the function notation, we can confirm this claim, since we have

$\sec(x)=\dfrac{1}{\cos(x)}\implies \sec(-90)=\dfrac{1}{\cos(-90)}=\dfrac{1}{0}$

which is undefined.

4 0

2 years ago

an art student wants to make a model of an ancient building. the length of the building is 1.6 times its width. The length of th

Ludmilka [50]

I think it would be 17.5in

Hope this helps!!

3 0

3 years ago

A deli is offering two specials. The roast beef special gives a profit of $2.30 per sandwich, and the turkey special gives a pro

nikklg [1K]

Answer:

The constraints are as follows;

1) 2·x + 2·y ≤ 120

2) 3·x + 4·y ≤ 160

3) x = 2.30

4) y = 3.10

5) P = 2.3·x + 3.10

Step-by-step explanation:

The question is a word problem, with the analysis as follows;

The profit from the roast beef special per sandwich = $2.30

The profit from the turkey special per sandwich = $3.10

The number of slices of bread in the roast beef special = Two slices

The number of slices of cheese in the roast beef special = Three slices

The number of slices of bread in the turkey special = Two slices

The number of slices of cheese in the turkey special = Four slices

The number of slices of bread the deli has = 120 slices

The number of slices of cheese the deli has = 160 slices

Let 'x' and represent the number of roast beef special and 'y' represent the number of turkey special the deli makes, then we have the constraints as follows;

For the number of slices of bread used;

2·x + 2·y ≤ 120...(1)

For the number of slices of cheese used;

3·x + 4·y ≤ 160...(2)

x = 2.30

y = 3.10

The profit 'P' is given by the following equation

P = 2.3·x + 3.10.

5 0

2 years ago

Solve for t.3/4t = 1/4