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vagabundo [1.1K]
2 years ago
8

I'm not sure how to simplify this expression with the exponents rules of multiplication

Mathematics
1 answer:
Vedmedyk [2.9K]2 years ago
3 0
The rule of exponential multiplication is (a^x)*(a^y)=a^(x+y)
using this with your expression, we can do
(10^1)*(10^3)*(10^2)=10^(1+3+2)=10^6
Final answer:
10^6 or 1 million
Hope I helped :)
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Find f(-3) if f(x) = x 2.
vlabodo [156]

Answer:

f(-3) = 9

Step-by-step explanation:

Lets define f(a) first where a is any integer,

f(a) is found out by putting the integer in the function in place of the variable

So for the given question

f(x) = x^{2}

In order to find f(-3) we will put -3 in place of x

So putting -3,

f(-3) = (-3)^{2}

f(-3) = 9

So, the value of function at -3 is 9 ..

5 0
3 years ago
Read 2 more answers
The data show systolic and diastolic blood pressure of certain people. Find the regression​ equation, letting the first variable
MakcuM [25]

Full Question:

The data show systolic and diastolic blood pressure of certain people. Find the regression equation, letting the first variable be the independent (x) variable. Find the best predicted diastolic pressure for a person with a systolic reading of 113. use a significance level of 0.05.

Systolic| 150 129 142 112 134 122 126 120

Diastolic| 88 96 106 80 98 63 95 64

a. What is the regression equation?

^y = __ + __x (Round to two decimal places as needed.)

b. What is the best predicted value?

^y is about __ (Round to one decimal place as needed.)

Answer:

A. yhat = a + bx = -10.64 + 0.75x

B. 74.0

Step-by-step explanation:

A. To find the regression equation here, we apply the formulas and then apply it to find the value of y given value of x:

calculate xbar and ybar which is the average of the variables:

Where n(number of values in x or y)=8

xbar = sum of x/n = 129.375

ybar = sum of y/n = 86.25

to calculate b

b= [Sum x^2 * Sum y - Sum x * Sum x*y] / [N*Sum x^2 - (Sum x)^2]

b = 0.74891

To calculate a

a = ybar - b * xbar = -10.64023

Regression equation:

y=mx+b= -10.64 + 0.75x

B. given x = 113,

y = -10.64023 + 0.74891 * 113

y= 74.0

5 0
3 years ago
Question 4
skelet666 [1.2K]

Answer:

See explanation

Step-by-step explanation:

You forgot to give the coordinates of C.

Note that, the mapping for 90° clockwise rotation around the origin is given by:

(x,y)\to (-y,x)

Assuming the coordinates of C were (-6,6), then the coordinates of C after a 90° clockwise rotation

around the origin is (-6,-6)

8 0
3 years ago
0 = 3x² +x - 6<br><br> Can you please factorise this
34kurt
0 = 3(x square + x - 2)
8 0
2 years ago
jewelry is commonly weighted in carats. five carats are equivalent to one gram.how many grams are in 24-carat gold chain
Olin [163]

Hi There!

Conversion: 5 carats = 1 gram

Find: How many grams are in 24 carats.

Solution: 24 / 5 = 4.8

Answer: 4.8 carats

Hope This Helps :)

6 0
2 years ago
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