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2 years ago

Which one would be true?

Mathematics

1 answer:

laila [671]2 years ago

5 0

Angle c is the least of the three angles

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What is the slope of y= -x +7?

Alecsey [184]

Answer:

-1

Step-by-step explanation:

Think of the slope as the number in front of x

8 0

2 years ago

Read 2 more answers

A $1,000 face value bond is currently quoted at 100.8. the bond pays semiannual payments of $22.50 each and matures in six years

gtnhenbr [62]

We are given with
F = 1000
b = 22.50
P = 100.8

We use the formula to get the coupon rate
b = Fib
Substituting the given values
22.50 = 1000 ib
ib = 0.0255 or 2.25%

The coupon rate is 2.25%

5 0

3 years ago

Which transformation of Figure A results in Figure A' ?

MariettaO [177]

Option B: a counterclockwise rotation of 90° about the origin

Explanation:

From the graph, we can see the coordinates of the figure A are (0,2), (-1,6) and (-4,4)

The coordinates of the figure A' are (-2,0), (-6,-1) and (-4,-4)

Option B: a counterclockwise rotation of 90° about the origin

The transformation rule for a coordinate to reflect a counterclockwise rotation of 90° about the origin is given by

$(x,y)\implies (-y,x)$

Let us substitute the coordinates of the figure A

Thus, we have,

$(0,2)\implies(-2,0)$

$(-1,6)\implies (-6,-1)$

$(-4,4)\implies(-4,-4)$

Thus, the resulting coordinates are equivalent to the coordinates of the figure A'.

Therefore, the figure is a counterclockwise rotation of 90° about the origin .

Hence, Option B is the correct answer.

3 0

3 years ago

Read 2 more answers

Solve for 8 - 6r + 3 = 5

Oksanka [162]

Answer:

r = 1

Step-by-step explanation:

8 - 6r + 3 = 5

Combine like terms

11 - 6r = 5

Subtract 5 from both sides

6 - 6r = 0

Add 6r to both sides

6 = 6r

Divide both sides by 6

1 = r

5 0

3 years ago

Aliens have injected Ana with mathematical nanobots. These nanobots force Ana to think about math more and more. Initially, ther

natulia [17]

Answer:

Math will take over Ana's brain at 4.4 hours

Step-by-step explanation:

Exponential Grow

The population of the nanobots follows the equation

$p(t) = 5\cdot 2^t$

We must find the value of t such that the population of nanobots is 106 or more, that is

$5\cdot 2^t\geq 106$

We'll solve the equation

$5\cdot2^t= 106$

Dividing by 5

$2^t= 106/5=21.2$

Taking logarithms

$log(2^t)= log(21.2)$

By logarithms property

$t\cdot log(2)= log(21.2)$

Solving for t

$\displaystyle t=\frac{log21.2} {log2}$

$t=4.4 \ hours$

Math will take over Ana's brain at 4.4 hours

6 0

3 years ago