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3 years ago

B. Write the following in exponential notation.then identity the base and the exponent.

Mathematics

1 answer:

Alchen [17]3 years ago

8 0

Answer:

1. $8^5$ , base is 8 and exponent is 5

2. $(-1)^7$ , the base is -1 and the exponent is 7

3. -2 * $a^3$ , the base is a and the exponent is 3

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Bella is x years old. Jake is 9 years older than Bella. Five times Jake’s age is equal to 300. (a) Write an equation that could

podryga [215]

300 divided by 5= jake
Jakes answer minus 9 is Bella’s age

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3 years ago

Hannah's car used 5 gallons to travel 220 miles. How many miles can the car go for each gallon of gas?

Ganezh [65]

1 gallon of gas = 44 miles

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1 year ago

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Suppose that you were not given the sample mean and sample standard deviation and instead you were given a list of data for the

Troyanec [42]

Answer:

So, the sample mean is 31.3.

So, the sample standard deviation is 6.98.

Step-by-step explanation:

We have a list of data for the speeds (in miles per hour) of the 20 vehicles. So, N=20.

We calculate the sample mean :

$\mu=\frac{19 +19 +22 +24 +25 +27 +28+ 37 +35 +30+ 37+ 36+ 39+ 40+ 43+ 30+ 31+ 36+ 33+ 35}{20}\\\\\mu=\frac{626}{20}\\\\\mu=31.3$

So, the sample mean is 31.3.

We use the formula for a sample standard deviation:

$\sigma=\sqrt{\frac{1}{N-1}\sum_{i=1}^{N}(x_i-\mu)^2}$

Now, we calculate the sum

$\sum_{i=1}^{20}(x_i-31.3)^2=(19-31.3)^2+(19-31.3)^2+(22-31.3)^2+(24-31.3)^2+(25-31.3)^2+(27-31.3)^2+(28-31.3)^2+(37-31.3)^2+(35-31.3)^2+(30-31.3)^2+(37-31.3)^2+(36-31.3)^2+(39-31.3)^2+(40-31.3)^2+(43-31.3)^2+(30-31.3)^2+(31-31.3)^2+(36-31.3)^2+(33-31.3)^2+(35-31.3)^2\\\\\sum_{i=1}^{20}(x_i-31.3})^2=926.2\\$

Therefore, we get

$\sigma=\sqrt{\frac{1}{N-1}\sum_{i=1}^{N}(x_i-\mu)^2}\\\\\sigma=\sqrt{\frac{1}{19}\cdot926.2}\\\\\sigma=6.98$

So, the sample standard deviation is 6.98.

3 0

3 years ago

PLEASE HELP ASAP ON MY MATH!!

Allisa [31]

Answer:

Area of shaded region=41 square feet

Area of non shaded region= 87 square feet

Step-by-step explanation:

As, Shaded area is made of different shapes including two rectangles and one triangle

So,

Area of shaded region,

$=(8\times2)+(10\times 1)+(\frac{1}{2}\times 3\times10)\\\\ =16+10+15=41 \quad \text{square feet}$

Area of non shaded region=total area of rectangular region-Shaded region

$=(16\times 8)-(41)\\=128-41\\=87 \quad \text{square feet}$

7 0

2 years ago

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Find the values of the missing angles<br><br> HELP PLEASE DO ANY! I’ll give you brilliance

yan [13]

Answer:

1) x = 42 ; y = 42

2) x = 72 ; y = 48 ; z = 60

Step-by-step explanation:

x + 42 + 96 = 180

x + 138 = 180

x = 42

y + 42 + 96 = 180

y + 138 = 180

y = 42

x + 108 = 180

x = 72

y + 132 = 180

y = 48

z + x + y = 180

z + 72 + 48 = 180

z + 120 = 180

z = 60

3 0

3 years ago