Which expression is equivalent to
(5^-2)(5^-1)
A. -1/125
B. -1/5
C.1/125
D.1/5

When x = 2 and y = 5, the value of the expression 2(4x + 3y) is 46.

What is an expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

The expression given is - 2(4x + 3y).

If x = 2 and y = 5, then substitute these values into the expression and simplify as follows -

2(4x + 3y)

2(4(2) + 3(5))

Use the arithmetic operation of multiplication -

2(8 + 15)

Use the arithmetic operation of addition -

2(23)

Use the arithmetic operation of multiplication -

46

Therefore, the value is obtained as 46.

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Answer:

Exponential function is:

y = 100 (1.03)ˣ

Step-by-step explanation:

We know that the exponential growth function is of the form

y = a (1 + r)ˣ

Here:

a = initial value

r = growth rate

x = number of time intervals that have passed

Given that A new savings account is opened with 400. Thus,

a = 400

Given that a new saving account gains 3% every year.

r = 3% = 0.03

now substituting a = 400 and r = 0.03 in the function

y = a (1 + r)ˣ

y = 100 (1 + 0.03)ˣ

y = 100 (1.03)ˣ

Therefore, exponential function is:

y = 100 (1.03)ˣ

Please note that the growth factor i.e. 1.03 is greater than 1, so the exponential function represents exponential growth.

The equation of directrix of the parabola will be x = -4.

Directrix is a straight line distance to which from any point of a conic section is in fixed ratio to the distance from the same point to a focus. The directrix is perpendicular to the axis of symmetry and does not touch the parabola.

We have,

Vertex of parabola = (0, 0),

Focus of the parabola = (4, 0),

Now,

The Equation of directrix is given by y = -a

Where,

The equation of the parabola, [tex]y^2 = 4ax[/tex],

And,

Focus at (a, 0),

i.e. a = 4    (As the given focus is (4, 0))

And,

The axis of the parabola is the positive x − axis.

So,

The equation of the directrix of this parabola,

x + a = 0,

i.e.

x + 4 = 0

⇒

x = -4

Hence, we can say that the equation of directrix of the parabola will be x = -4.

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Answer:

It would be in quadrant 2

Step-by-step explanation:

(-5,-3) is in quadrant 3

the reflected point would be (-5,3)

Answer:

Length = 12

Width = 6

Step-by-step explanation:

Width = 6 miles less than length;

L = L

W = L - 6

Area = 72 ft²

Area = Length * width

Area = (L * L-6)

Area = L² - 6L

-

L² - 6L = 72

L² - 6L - 72 = 0

L² - 12L + 6L - 72 = 0

L(L - 12) +6(L - 12) = 0

L = 12 or L = - 6

L cannot be negative

Width = L - 6

Width = 12 - 6 = 6

Hence,

Dimension of rectangle :

Length = 12

Width = 6

Answer:

A

Step-by-step explanation:

V= BxHxL divided by 2

6x9x21= 1,134

divided by 2 equals 567yd

Answer:

A) 567 yd^3

Step-by-step explanation:

If you need help with formulas you could always look them up. Like triangular prism volume formula

Answer:

$122.99

Step by Step explanation

Answer:

3x+50=6x-10

Step-by-step explanation:

set them equal to each other and solve for x. I have no paper on me rn to help you, hope this helps tho  

Answer:

cvp B çünkü o iki kavram birbiriyle eşit

Answer:

The rule for reflecting over the X axis is to negate the value of the y-coordinate of each point, but leave the x-value the same. For example, when point P with coordinates (5,4) is reflecting across the X axis and mapped onto point P', the coordinates of P' are (5,-4).

So what do you think the answer is true or false

Answer:

True

Step-by-step explanation:

That is possible since the x is on 0. It can flip and then it lands on (0,-2) I think.

Hope this helped!

Answer:

x=8

Step-by-step explanation:

Answer:

The correct answer is 5.29 * [tex]10^{-5}[/tex]

Step-by-step explanation:

Scientific notation's form is a number ones digit number that may have decimals and is multiplied by 10 to some power, this is the only choice that fulfills this rule, so this is the correct answer.

Answer:

34

Step-by-step explanation:

2x + 15 + 3x - 5 = 180

2x + 3x = 5x

15 - 5 = 10

5x + 10 = 180

-10 + 180 = 170

5x = 170

[tex]\frac{170}{5} = 34[/tex]

x = 34

Answer:

i belive it would be D

Step-by-step explanation:

It says that there was an error with my answer, but I don't know what, so I screenshotted what I typed and attached them as 4 images below:

Answer:

16

Step-by-step explanation:

24/8=3

48/3=16

Answer:

10

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

______________________________

(I've included the graphs below.)

So your answer is c, [tex]\bold{y+4=-\frac{3}{2}(x-2)}[/tex].

______________________________

Answer:

-56

Step-by-step explanation:

f(x) = 7x + 7

x = -9

We meed to plug in x = -9 into the first equation:

f(-9) = 7(-9) + 7

We can open up the parentheses:

f(-9) = -63 + 7

And then simplify:

f(-9) = -56

Answer:

B

Step-by-step explanation:

[tex]\frac{52}{2} = \frac{x}{100}[/tex] =

2x = 52(100)

2x = 5200

x = 2600

PLZ MARK AS BRAINLIEST

Answer:

hundreds

Step-by-step explanation:

hundreds because in the hundreds place in the number 62996 there's number 9, which it's greater than 4, so it will add 1 to the thousands and all the numbers in the right will be zero

Answer:

lnkbprtngbp knmbmt[onbmorbmntionbtlrmbvlnrpoigmboigmnb

Step-by-step explanation:

Answer:

A. y≥[tex]\frac{1}{3\\}[/tex]x+3, 3x-y>2

Step-by-step explanation:

The linear equations above match the lines in terms of slope and y-intercept.

I hope you found this helpful! If you did, I'd really appreciate if you'd mark my work as 'brainliest'. Please don't hesitate to ask any questions!

Have a great day!

The system of linear inequalities of the given points is required.

The system of inequality is

[tex]x-3y\leq -9[/tex]

[tex]3x-y>2[/tex]

Points of the first line

[tex](0,3)[/tex]

[tex](3,4)[/tex]

The equation of the line is

[tex]y-3=\dfrac{4-3}{3-0}(x-0)\\\Rightarrow y-3=\dfrac{1}{3}x\\\Rightarrow y-\dfrac{1}{3}x=3\\\Rightarrow 3y-x=9\\\Rightarrow x-3y=-9[/tex]

Let us take a point above this line [tex](2,4)[/tex]

It is also a solid line.

[tex]2-3\times 4=-10<-9[/tex]

So, the inequality is [tex]x-3y\leq -9[/tex]

Points of the second line

[tex](0,-2)[/tex]

[tex](1,1)[/tex]

The equation of the second line is

[tex]y+2=\dfrac{1+2}{1-0}(x-0)\\\Rightarrow y+2=3x\\\Rightarrow 3x-y=2[/tex]

Let us take a point towards the right of the line [tex](2,2)[/tex]

[tex]3\times 2-2=4>2[/tex]

Since, the line is dashed the second inequality will be [tex]3x-y>2[/tex]

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Answer:

36.25%

Step-by-step explanation:

400 - 255 = 145

145/400 = 0.3625

0.3625 = 36.25%

Answer:

36.25%

Step-by-step explanation:

(400-255)/400=145/400=0.3625=36.25%

Answer:

$20

Step-by-step explanation:

20 x .2 = 4

20 - 4 = 16