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1 year ago

What formula should be entered in A3 to compute A1 times B1?

Mathematics

1 answer:

oksano4ka [1.4K]1 year ago

8 0

The formula that should be entered in A3 is = A1 * B1

<h3>How to determine the formula?</h3>

The question implies that:

A3 = A1 times B1

In mathematics, the term "times" means *

So, we have:

A3 = A1 * B1

Remove the variable A3

= A1 * B1

Hence, the formula that should be entered in A3 is = A1 * B1

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Which statement is true about the domain of y = 3(2^-x)? Explain.

SVEN [57.7K]

We want to determine the domain of ${y=3 \cdot 2^{-x}=3 \cdot ({2^{-1}})^x=3 \cdot ({ \frac{1}{2}})^x$

any function of the form $y=f(x)=a \cdot b^x$ is called an "exponential function",
the only condition is that b is positive and different from 1, and a is a nonzero real number.

The domain of such functions is all real numbers.

That is for any x, the expression <span>3(2^-x) "makes sense".

Answer: </span><span>The domain is all real numbers</span>

8 0

3 years ago

Through:(2,-5),slope=3/2

Rainbow [258]

Are you trying write it into slope intercept form ?

8 0

2 years ago

1. Stephanie would like to make a 5 lb nut mixture that is 60% peanuts and 40% almonds. She has several pounds of peanuts and se

Crazy boy [7]

Answers:

(a) p + m = 5
0.8m = 2

(b) 2.5 lb peanuts and 2.5 lb mixture

Explanations:

(a) Note that we just need to mix the following to get the desired mixture:

- peanut (p) - peanuts whose amount is p
- mixture (m) - mixture (80% almonds and 20% peanuts) that has an amount of m; we denote this as

By mixing the peanuts (p) and the mixture (m), we combine their weights and equate it 5 since the mixture has a total of 5 lb.

Hence,

p + m = 5

Note that the desired 5-lb mixture has 40% almonds. Thus, the amount of almonds in the desired mixture is 2 lb (40% of 5 lb, which is 0.4 multiplied by 5).

Moreover, since the mixture (m) has 80% almonds, the weight of almonds that mixture is 0.8m.

Since we mix mixture (m) with the pure peanut to get the desired mixture, the almonds in the desired mixture are also the almonds in the mixture (m).
So, we can equate the amount of almonds in mixture (m) to the amount of almonds in the desired measure.

In terms mathematical equation,

0.8m = 2

Hence, the system of equations that models the situation is

p + m = 5
0.8m = 2

(b) To solve the system obtained in (a), we first label the equations for easy reference,

(1) p + m = 5
(2) 0.8m = 2

Note that using equation (2), we can solve the value of m by dividing both sides of (2) by 0.8. By doing this, we have

m = 2.5

Then, we substitute the value of m to equation (1) to solve for p:

p + m = 5
p + 2.5 = 5 (3)

To solve for p, we subtract both sides of equation (3) by 2.5. Thus,

p = 2.5

Hence,

m = 2.5, p = 2.5

Therefore, the solution to the system is 2.5 lb peanuts and 2.5 lb mixture.

7 0

3 years ago

Find the perimeter of the following triangle.

pashok25 [27]

Hello!

To find the perimeter of the triangle, we need to find the length of all the sides using the <u>distance formula</u>.

The distance formula is: $d =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$ .

First, we can find the distance between the points (-3, -1) and (2, -1). The point (-3, -1) can be assigned to $(x_{1},y_{1})$ , and (2, -1) is assigned to $(x_{2},y_{2})$ . Then, substitute the values into the formula.

$d =\sqrt{(2 - (-3))^{2}+ (-1 - (-1))^{2}}$

$d =\sqrt{5^{2}+0^{2}}$

$d =\sqrt{25} = 5$

The distance between the points (-3, -1) and (2, -1) is 5 units.

Secondly, we need to find the distance between the points (2, 3) and (2, -1). Assign those points to $(x_{1},y_{1})$ and $(x_{2},y_{2})$ , then substitute it into the formula.

$d =\sqrt{(2 - 2)^{2}+ (-1 - 3)^{2}}$

$d =\sqrt{0^{2}+(-4)^{2}}$

$d =\sqrt{16} = 4$

The distance between the two points (2, 3) and (2, -1) is 4 units.

Finally, we use the distance formula again to find the distance between the points (-3, -1) and (2, 3). Remember the assign the ordered pairs to $(x_{1},y_{1})$ and $(x_{2},y_{2})$ and substitute!

$d =\sqrt{(2 -(-3))^{2}+ (3 - (-1))^{2}}$

$d =\sqrt{5^{2}+4^{2}}$

$d =\sqrt{25 + 16}$

$d =\sqrt{41}$ This is equal to approximately 6.40 units.

The last step is to find the perimeter. To find the perimeter, add of the three sides of the triangle together.

P = 5 units + 4 units + 6.4 units

P = 15.4 units

Therefore, the perimeter of this triangle is choice A, 15.4.

6 0

3 years ago

How many degrees in a full rotation?

ANTONII [103]

We call a full circle or a full rotation 360 degrees. There's nothing magic
or mathematical about that number. It was invented by people. It could
have been any number they wanted.

But it was a great choice because it has a lot of factors. With 360 degrees
in a full rotation, you can split up a full rotation into 2, 3, 4, 5, 6, 8, 9, 10, 12,
15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, or 180 equal pieces, without
ever slicing up a degree !

7 0

3 years ago

Read 2 more answers