What is 1 raised to the fourth power?

At a gig 0.4 of the audience were female. If there were 100 more male audience members than female, how many were there in the a

pickupchik [31]

Number of females = f
Total number of people in audience = n

0.4n = f
f + (f+ 100) = n
2f + 100 = n

Find n:
f = 0.4n --> Replace f with 0.4n in the equation 2f +100 = n

2(0.4n) + 100 = n --> Multiply out the brackets
0.8n + 100 = n --> Subtract 0.8n from both sides
100 = 0.2n --> To get n, multiply both sides by 5
n = 500

There were 500 people in the audience.

3 0

4 years ago

Can someone please help me it’s due in 5 minutes

Thepotemich [5.8K]

Answer:

You can use Desmos to graph any equation:

4 0

3 years ago

The running back for the Bulldogs football team carried the ball 5 times for a total loss of 11 1/4 yards. Find the average chan

Firdavs [7]

Answer:

$\displaystyle 2\ \frac{1}{4}$

Step-by-step explanation:

<u>Fractions</u>

They can be expressed as proper fractions, improper fractions or mixed numbers. Proper fractions are such that the numerator is less than the denominator, like 2/5, 7/11, -9/10. Improper fractions are those whose numerators are greater than the denominator, such as 5/3, 10/9, -21/8.

Mixed numbers are expressions made of whole numbers and a proper fraction, like 4 3/5, 1 1/2, -5 4/9. Mixed numbers can be transformed to improper fractions and vice-versa.

The question requires us to find the average change in field position on each run of the running back for the Bulldogs football team which carried the ball 5 times for a total loss of 11 1/4 yards.

The number 11 1/4 is mixed, to express it as an improper fraction, we add the numbers like

$\displaystyle 11+\frac{1}{4}=\frac{45}{4}$

This improper fraction will now be divided by 5 to find the average of 5 runs:

$\displaystyle \frac{\frac{45}{4}}{5}=\frac{9}{4}$

We now need to separate the improper fraction to a mixed number, let's just divide 9 by 4 to get 2 as the quotient and 1 for the remainder, thus

$\boxed{\displaystyle \frac{9}{4}=2\ \frac{1}{4}}$

6 0

4 years ago

What is the value of P for the following solid figure?

Jlenok [28]

The p of the solid figure is 17in.because 2.5+ 2.5=5 7+3=10+5+2=17

6 0

3 years ago

Read 2 more answers

Solve for the missing sides 30-60-90 triangle show work please and thank you

Alex_Xolod [135]

Answer:

4.

$x=8\sqrt{3}$

$y=16$

5.

$x=3$

$y=3\sqrt{3}$

Step-by-step explanation:

The sides of a (30 - 60 - 90) triangle follow the following proportion,

$a-a\sqrt{3}-2a$

Where (a) is the side opposite the (30) degree angle, ( $a\sqrt{3}$ ) is the side opposite the (60) degree angle, and (2a) is the side opposite the (90) degree angle. Apply this property for the sides to solve the two given problems,

4.

It is given that the side opposite the (30) degree angle has a measure of (8) units. One is asked to find the measure of the other two sides.

The measure of the side opposite the (60) degree side is equal to the measure of the side opposite the (30) degree angle times ( $\sqrt{3}$ ). Thus the following statement can be made,

$x=8\sqrt{3}$

The measure of the side opposite the (90) degree angle is equal to twice the measure of the side opposite the (30) degree angle. Therefore, one can say the following,

$y=16$

5.

In this situation, the side opposite the (90) degree angle has a measure of (6) units. The problem asks one to find the measure of the other two sides,

The measure of the side opposite the (60) degree angle in a (30-60-90) triangle is half the hypotenuse times the square root of (3). Therefore one can state the following,

$y=3\sqrt{3}$

The measure of the side opposite the (30) degree angle is half the hypotenuse (the side opposite the (90) degree angle). Hence, the following conclusion can be made,

$x=3$

6 0

3 years ago