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3 years ago

7u=48 fill it in , one -step equations :integers

Mathematics

1 answer:

marissa [1.9K]3 years ago

7 0

What is the question, are we supposed to find the value of "u"? If so, than u is equal to 6 6/7.

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A won a race at the local fair by running 10.5 miles in exactly 2 hours. At this constant rate, how long does it take the same

Luba_88 [7]

Answer:

The dog will run the 21-mile race in 4.04 hours

Step-by-step explanation:

The first thing we need to do is find out how far he ran the race at the local fair in 1 hour.

To do this, we can set up a simple relationship:

If he ran 10.5 miles in 2 hours,

He will run x miles in 1 hour

Cross multiplying, we have

x = (10.5 X 1)/2 = 5.25 miles in 1 hour.

We can now comfortably say that he runs at the rate of 5.2miles/hr

He now goes to the state fair race, which is 21 miles long.

if he runs at the rate of 5.2 miles in 1 hour,

He will run 21 miles in y hours

y = 21 / 5.2 = 4.04 hours

The dog will run the 21-mile race in 4.04 hours

3 0

3 years ago

6. Let f and g be differentiable functions

Julli [10]

Answer:

(b) 1

Step-by-step explanation:

To differentiate $h(x)=f(x)g(x)$ we will need the product rule:

$h'(x)=f'(x)g(x)+f(x)g'(x)$ .

We have $h'(x)=f(x)g'(x)$ , so the following equation is true by the transitive property:

$f'(x)g(x)+f(x)g'(x)=f(x)g'(x)$

By subtraction property we have:

$f'(x)g(x)=0$

Since $g(x) \neq 0$ , then we can divide both sides by $g(x)$ :

$f'(x)=\frac{0}{g(x)}$

$f'(x)=0$

This implies $f(x)$ is constant.

So we have that $f(x)=c$ where $c$ is a real number.

Since $f(0)=1$ and $f(0)=c$ , then by transitive property $1=c$ .

So $f(x)=1$ .

Checking:

$h(x)=1 \cdot g(x)$

$h'(x)=g'(x)=1 \cdot g'(x)$

So the following conditions were met.

5 0

3 years ago

The length of a rectangle is five times its width.

grandymaker [24]

Answer:

length =30m width=6m

hope it helps

3 0

3 years ago

A student loan you took out is due in 3 years and requires repayment of $3,000. To pay off the loan, you set aside money in an a

damaskus [11]

Answer:

P = $2448.89

P ~= $2,449

He need to deposit $2,449

Step-by-step explanation:

Given:

Interest rate r= 7% = 0.07

Number of years n = 3 years

Future value that should be meet A = $3000

We need to calculate the initial investment (Principal P). Using the compound interest formula:

A = P(1+r)^n

P = A/(1+r)^n

Substituting the values of A, r, n, we have;

P = 3000/(1+0.07)^3

P = $2448.89

P ~= $2,449

7 0

3 years ago

En la siguiente sucesión numérica 8,7,11,10,14 los dos números siguientes son

Oxana [17]

<h3>Numerical sequences</h3>

To find the missing numbers in the sequence, we must identify the rule by which they change.

The <u>sequence starts at 8 and then decreases by 1,</u> therefore, the second term is 7. The third term increases by 4 units with respect to the second, going from 7 to 11, and the fourth decreases again by 1, now remaining at 10.

The fifth term increases again by 4 units, from 10 to 14. This already gives us a clear idea of the rule that the sequence follows.

<h3>Decrease 1, increase 4, decrease 1, increase 4,…</h3>

₊₄ ₊₄

⁻¹ ⁻¹ ⁻¹

<em>In this way, the sixth </em><em>element must decrease by 1</em><em>, that is 13 and the seventh must increase </em><em>by 4, that is 17</em><em>.</em>

8, 7, 11, 10, 14, 13, 17,…

The next numbers that the numerical sequence are 13 and 17, to complete. ✅

6 0

1 year ago