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Olegator [25]
2 years ago
5

A square rotated about its center by 360º maps onto itself at _____ different angles of rotation. You can reflect a square onto

itself across _____ different lines of reflection.
first blank: 1,2,3,4
last blank: 2,4,8,16
Mathematics
1 answer:
Lilit [14]2 years ago
5 0
Answer for the first blank: 4
Answer for the second blank: 4

-----------------------------------------------

A square has 4 angles of rotation. This means you can rotate a square 4 times to have it line up with its original image before you hit 360 degrees. 

A square has 4 lines of symmetry. They lines are the vertical and horizontal lines through the center. Also there are 2 diagonal lines of symmetry through the center. This makes 4 lines total.
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Eli invested $ 330 $330 in an account in the year 1999, and the value has been growing exponentially at a constant rate. The val
Cloud [144]

Answer:

The value of the account in the year 2009 will be $682.

Step-by-step explanation:

The acount's balance, in t years after 1999, can be modeled by the following equation.

A(t) = Pe^{rt}

In which A(t) is the amount after t years, P is the initial money deposited, and r is the rate of interest.

$330 in an account in the year 1999

This means that P = 330

$590 in the year 2007

2007 is 8 years after 1999, so P(8) = 590.

We use this to find r.

A(t) = Pe^{rt}

590 = 330e^{8r}

e^{8r} = \frac{590}{330}

e^{8r} = 1.79

Applying ln to both sides:

\ln{e^{8r}} = \ln{1.79}

8r = \ln{1.79}

r = \frac{\ln{1.79}}{8}

r = 0.0726

Determine the value of the account, to the nearest dollar, in the year 2009.

2009 is 10 years after 1999, so this is A(10).

A(t) = 330e^{0.0726t}

A(10) = 330e^{0.0726*10} = 682

The value of the account in the year 2009 will be $682.

4 0
2 years ago
Please help!!!!!!!!!
shepuryov [24]
A, the first one only, this parabola only has a minimum and no maximum.  the other statements are also just false 
7 0
2 years ago
A fitted multiple regression equation is Y = 28 + 5X1 - 4X2 + 7X3 + 2X4. When X1 increases 2 units and X2 increases 2 units as w
ad-work [718]

Answer:

A. Increase by 2

Step-by-step explanation:

Given that a  fitted multiple regression equation is

Y = 28 + 5X_1 -4X_2 + 7X_3 + 2X_4

This is a multiple regression line with dependent variable y and independent variables x1, x2, x3 and x4

The coefficients of independent variables represent the slope.

In other words the coefficients represent the rate of change of y when xi is changed by 1 unit.

Given that x3 and x4 remain unchanged and x1 increases by 2 and x2 by 2 units

Since slope of x1 is 5, we find for one unit change in x1 we can have 5 units change in y

i.e. for 2 units change in x1, we expect 10 units change in Y

Similarly for 2 units change in x2, we expect -2(4) units change in Y

Put together we have

10-8 =2 change in y

Since positive 2, there is an increase by 2

A. Increase by 2

5 0
2 years ago
Which values of m and b will create a system of equations with no solution? Select two options. y = mx + b y = –2x + A system of
Nuetrik [128]

Answer:

m = -2 and b = -1/3

m = -2 and b = -2/3.

Step-by-step explanation:

y = -2x - 1/3

y = -2x - 2/3

This system has no solutions because y cannot be 2 different values at once.

5 0
2 years ago
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A gym charges $40 per month after an initial service fee. One member paid a total of $255 after 6 months. Find the equation that
sattari [20]
Y = 40x +15 because it charges 15$ as it's initial service fee and it charges an additional $40 a month so you multiply 40 times the number of months and add 15 to get the total after x amount of months
3 0
2 years ago
Read 2 more answers
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