write down as decimal.​

Answer:

2m  

4

−2m  

3

−26m  

2

−23m+20

Step-by-step explanation:

Answer:

4.16% is the hourly growth rate

Step-by-step explanation:

What we can do here is to first set up an exponential relationship that relates the present number of bacteria, the initial number of bacteria, the growth rate of the bacteria and the number of hours.

What we want to establish here has a resemblance with the compound interest formula in finance.

Let’s see the initial number of bacteria as the amount deposited, the present number of bacteria as the amount after some months, the growth rate as the monthly percentage while the number of hours works like the number of months.

Mathematically, what we have will be;

P = I(1 + r)^h

where P is the present bacteria number, I is the initial, r is the growth rate while h is the number of hours.

Thus, we have the following values from the question;

P = 1530

I = 1,300

r = ?

h = 4

Substituting these values, we have;

1530 = 1300(1 + r)^4

divide both sides by 1,300

1.177 = (1+r)^4

Find the fourth root of both sides

(1.177)^(1/4) = 1+ r

1.0416 = 1 + r

r = 1.0416-1

r = 0.0416

This in percentage is 4.16%

Answer:

2.5 or 2 1/2

Step-by-step explanation:

i caculated do order of operations

Answer:

Step-by-step explanation:

Use F.O.I.L

F - First

O- Outside

I- Inside

L- Last

First multiply the ds from both to get [tex]d^{2}[/tex], next multiply the first d and the -4 and get -4d, then the 8 and the second d = 8d, and finally the 8 and -4 to get -32

you get [tex]d^{2}[/tex]-4d + 8d - 32

Answer:

The answer is option D

Step-by-step explanation:

32m + 56mp

First factor out the HCF out

The HCF of 32and 56 is 8

So we have

8 ( 4m + 7mp)

next factor m out

We have the final answer as

Hope this helps you

Answer:

14.42 units

Step-by-step explanation:

Assuming that this is a right triangle (i.e ∠ACB = 90°), we can use the Pythagorean formula to solve this:

AB² = AC² + BC²

AB² = 12² + 8²

AB = √(12² + 8²)

AB = 14.42 units

Answer:

Shape - Cube

Area= 864

Step-by-step explanation:

The shape folds to become a cube and all the edges are the same size.

Area of a cube is Length * Width * Height = Area

12*12*12= 864

Answer:

Shape - Cube

Area= 864

Step-by-step explanation:

The shape folds to become a cube and all the edges are the same size.

Area of a cube is Length * Width * Height = Area

12*12*12= 864

Answer:

Option A 25 ft is the correct answer.

Step-by-step explanation:

Given that:

One square corral at a stable has an area 625 [tex]ft^2[/tex].

And one side corral is along a barn.

To find:

How much of a barn's wall is used for the edge of corral?

Solution:

First of all, kindly refer to the attached figure to have a better understanding of the given dimensions and situation.

Given that Corral is square shape with Area, A = 625 [tex]ft^2[/tex]

Formula for area of a square is given as:

[tex]A = Edge^2[/tex]

Putting the value of A as given to find the Edge:

[tex]625 = Edge^2\\\Rightarrow Edge^2 =25 \times 25\\\Rightarrow Edge = 25\ ft[/tex]

It is given that one side of Corral is along a barn.

So, barn's wall used for the edge of corral = 25 ft

Option A 25 ft is the correct answer.

Answer: A 25ft I did it on edge and got it correct and please do as brainlest and have a good day.

Answer:

1/3

Step-by-step explanation:

There are three elements that are intersecting: 5, 14, 22

Probability of choosing an item is 1/3

Answer:

1.03921568627

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

|a−b| − |c+d|

Let = a=−5; b=4; c=1; d=−3

|-5−4| − |1+-3|

|-9| − |-2|

Absolute values means take the non-negative value

9 + 2

11

Answer:

7

Step-by-step explanation:

| a - b | - | c + d |

Plug in the values for the variables.

| -5 - 4 | - | 1 + -3 |

Evaluate.

| - 9 | - | -2 |

Apply rule : | -a | = a

9 - 2

Subtract the numbers.

= 7

Answer:

(g + f) (x) = (2^x + x – 3)^1/2

Step-by-step explanation:

The following data were obtained from the question:

f(x) = 2^x/2

g(x) = √(x – 3)

(g + f) (x) =..?

(g + f) (x) can be obtained as follow:

(g + f) (x) = √(x – 3) + 2^x/2

(g + f) (x) = (x – 3)^1/2 + 2^x/2

(g + f) (x) = (x – 3)^1/2 + (2^x)^1/2

(g + f) (x) = (x – 3 + 2^x)^1/2

Rearrange

(g + f) (x) = (2^x + x – 3)^1/2

Answer:

20°

Step-by-step explanation:

4x+3x+2x=180°(Sum of interior anglevof triangle)

9x=180°

x=20°

I Hope this will be helpful for you.

20

Step-by-step explanation:

Just add the all terms and trim as equation then solve it simple ^ω^ .

[tex] \sf4x + 3x + 2x = 180 \degree[/tex]

[tex][ \sf \: \because \: Sum \: of \: all \: interior \: angle \: of \: a \: trianlge \: is \: 180 \degree][/tex]

[tex]9x = 180[/tex]

[tex]x = \dfrac{180}{9} [/tex]

[tex]x = 20[/tex]

The required value of x is 20

Answer: while solving an equation involving fractions we eliminate the fraction by multiplying the LCD of all the denominators present in the equation . LCD means Least common Denominator so for this question when we try to eliminate the denominator we first try to find the LCM (2,4,6) because that will give us the LCD.

2=2

4=2·2

6=2·3

LCM = 2·2·3

LCM = 12

It means we need to multiply the 12 to each term of equation to eliminate the fractions before solving.

12

To eliminate the fractions, multiply the equation by the 12

A equation is an expression that shows the relationship between two or more variables and numbers.

Given the equation:

[tex]x-\frac{5}{4}+2x=\frac{5}{6}+x[/tex]

To eliminate the fractions, multiply by the L.C.M of the denominator of the fraction i.e. 12 to get:

12x - 15 + 24x = 10 + 12x

Find out more on Equation at: https://brainly.com/question/2972832

Answer:

Step-by-step explanation:

Given the value of a family's home, in Camrose AB, given by the following exponential function f(x) = 130000(1.06)^x, where x is the number of years after the family purchases the house for $130,000. In order to calculate the best estimate for the instantaneous rate of change in the value of the home when the family has owned it for 5 years, we will have to substitute x =5 in the given function and solve as shown;

f(x) = 130000(1.06)ˣ

f(5) = 130000(1.06)⁵

f(5) = 130000*(1.06)⁵

f(5) = 130000*1.338226

f(5) = 173,969.38

Hence, the instantaneous rate of change in the value of the home when the family has owned it for 5 years is approximately  $173,969

Answer:

This is simple! (Kind of)

Step-by-step explanation:

First, notice how HJ is tangent. HG is a radius intersecting HJ at H.

This means, (According to some theorem that I forgot the name of) that GHJ is a right angle.

Thus, we can use the 180* in a triangle theorem.

[tex]180=90+54+6x+6[/tex]

So, let's solve!

[tex]30=6x\\5=x[/tex]

So, there you go! Nice and simple!

Hope this helps!

Stay Safe!

Step-by-step explanation:

hope it helps yoy..........

Answer:

579 pastries

Step-by-step explanation:

You can write an equation to solve this problem.

(3 * 147) + 138

(441) + 138 = 579

They sold 579 pastries in total.

Let d equal the final amount it depreciates.

Let m equal the number of months.

Since d is the final amount, we put this at the very end of the equation.

Since it depreciates $25 every month, this number is going to be subtracted from the total price of the tablet ($650).

The final equation comes out too: d = 650 - 25m

Best of Luck!

Answer:

B. The student incorrectly calculated the scale factor to be –2

Step-by-step explanation:

Given that :

After a dilation with a center of (0, 0), a point was mapped as (4, –6) → (12, y).

The student determined y to be -2

If a figure dilated with a center of (0, 0) and scale factor k, then

(x , y) → (kx , ky)

(4, -6) → (12, y)

[tex]k = \dfrac{x'}{x}[/tex]

[tex]k = \dfrac{12}{4}[/tex]

k = 3

Thus; the scale factor is 3

Now; the y-coordinate can now be calculated as;

ky = (3 × -6)

ky = -18

Therefore; the value of y = -18 and the student incorrectly calculated the scale factor to be -2.

Answer:

-1/3

Step-by-step explanation:

The slope of the line can be found by

m = (y2-y1)/(x2-x1)

    = ( 7-8)/(5-2)

    = -1/3

Answer:

-1/3.

Step-by-step explanation:

The slope can be found by doing the rise over the run.

In this case, the rise is 8 - 7 = 1.

The run is 2 - 5 = -3.

So, the slope is 1 / -3 = -1/3.

Hope this helps!

Answer:

Width = [tex] \frac{7}{2} ft[/tex]

Step-by-step explanation:

Given,

Area of rectangle = [tex]42 \: {ft}^{2} [/tex]

Width = X

Length = 2x + 5

Now,

[tex]x(2x + 5) = 42[/tex]

[tex]2 {x}^{2} + 5x = 42[/tex]

[tex]2 {x}^{2} + 5x - 42 = 0[/tex]

[tex]2 {x}^{2} + 12x - 7x - 42 = 0[/tex]

[tex]2x(x + 6) - 7(x + 6) = 0[/tex]

[tex](2x - 7)(x + 6) = 0[/tex]

Either

[tex]2x - 7 = 0[/tex]

[tex]2x = 0 + 7[/tex]

[tex]2x = 7[/tex]

[tex]x = \frac{7}{2} [/tex]

Or,

[tex]x + 6 = 0[/tex]

[tex]x = 0 - 6[/tex]

[tex]x = - 6[/tex]

Negative value can't be taken.

So, width = [tex] \frac{7}{2} ft[/tex]

Again,

Finding the value of length,

Length = [tex]2x + 5[/tex]

[tex]2 \times \frac{7}{2} + 5[/tex]

[tex]7 + 5[/tex]

[tex]12[/tex]

Length = 12 ft

Answer:

length = 12 ft, width = 3.5 ft

Step-by-step explanation:

w = width

l = length = 2w + 5

A = wl = w(2w + 5) = 42

2w² + 5w - 42 = 0

(w + 6)(2w - 7) = 0

w + 6 = 0, w = -6 (dimension cannot be negative)

2w - 7 = 0, w = 3.5

l = 2(3.5) + 5 = 12

Answer:

11.7

Step-by-step explanation:

Let H be the heipotenys of the big triangle:

H= 28.04

Let's calculate the third side using the pythagorian theorem:

H²= 26²+ d²(the third side)

d² = 28.04²-26²= 110.24

d= 10.49

let's calculate x now

x= 11.65 ≈ 11.7

Answer:

45

Step-by-step explanation:

The final had an extra credit as 25, so without it it would be 135. Then, you would divide by three to find that the first test had 45 points.

Answer:

45

Step-by-step explanation:

The final had an extra credit as 25, so without it it would be 135. Then, you would divide by three to find that the first test had 45 points.

Answer:

15w - 10x + 30.

Step-by-step explanation:

-5(2x - 3w - 6)

= (-5 * 2x) + (-5 * -3w) + (-5 * -6)

= -10x + 15w + 30

= 15w - 10x + 30.

Hope this helps!

Answer:

Step-by-step explanation:

[tex] - 5(2x - 3w - 6)[/tex]

Multiply each term in the parentheses by -5

[tex] - 5 \times 2x - 5 \times ( - 3w) - 5 \times ( - 6)[/tex]

Calculate the product

[tex] - 10x - 5 \times ( - 3x) - 5 \times ( - 6)[/tex]

Multiplying two negatives equals a positive [tex]( - ) \times ( - ) = ( + )[/tex]

[tex] - 10x + 5 \times 3w - 5 \times ( - 6)[/tex]

Calculate the product

[tex] - 10x + 15w - 5 \times ( - 6)[/tex]

Multiply the numbers

[tex] - 10x + 15w + 30[/tex]

Hope this helps..

Best regards!!

Answer:

45

Step-by-step explanation:

Given the legs of the right triangle.

Then using Pythagoras' identity

The square oh the hypotenuse h is equal to the sum of the squares on the other 2 sides, that is

h² = 36² + 27² = 1296 + 729 = 2025 ( take the square root of both sides )

h = [tex]\sqrt{2025}[/tex] = 45

Answer:

45

Step-by-step explanation:

When you are given the opposite and adjacent sides of a triangle, the easiest way to find the hypotenuse is through the Pythagorean theorem!

The formula is a^2 + b^2= c^2

Plugging in the values, your formula would now look like 36^2 + 27^2= c^2

Once you do square your values and add them up, the result would end up being 2025, but since that is squared, to find the actual value of c you have to take the square root of this number, this will result in 45.

Answer:

3

Step-by-step explanation:

the line crosses the y-axis at (0,3)

Answer:

3

Step-by-step explanation:

The y intercept is where the graph crosses the y axis  ( where x =0)

The lines crosses at y=3

Y intercept is 3

First, let's find the area of the triangle:

[tex]A=\dfrac{1}{2}bh=\dfrac{1}{2}\times3\times4=6[/tex]

Now, we multiply this area by the length of the prism, which is 20

[tex]20\times6=120[/tex]

All 3 answers have 120. However, since we're calculating volume, it will be represented by [tex]\text{units}^3[/tex]. Since no specific unit (such as cm or in) is specified, it will be left at that.

Thus, the answer is answer choice D.

Let me know if you need any clarifications, thanks!

The volume of prism is 120 unit³.

The correct option is D.

Volume is a three-dimensional measurement that's used to gauge a solid shape's capacity. It implies that the volume of a closed form determines how much space it can occupy in three dimensions.

First, Area of Triangle

= 1/2 x b x h

= 1/2 x 3 x 4

= 3 x 2

= 6

So, the volume of prism is

= 6 x 20

= 120 unit³

Thus, the volume of prism is 120 unit³.

Learn more about Volume here:

https://brainly.com/question/1578538

#SPJ5

Answer:

I would say the answer is C.

Complete question:

The Royal Fruit Company produces two types of fruit drinks. The first type is 35% pure fruit juice, and the second type is 85% pure fruit juice. The company is attempting to produce a fruit drink that contains 70% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 50 pints of a mixture that is 70% pure fruit juice?

Answer:

Juice A = 15

Juice B = 35

Step-by-step explanation:

Given the following:

Juice A:

Let juice A = a

35% pure fruit juice

Juice B:

Let juice B = b

85% pure fruit juice

We need to make 50 pints of juice from both: that is ;

a + b = 50 -------(1)

In terms of pure fruit:

a = 0.35 ; b = 0.85 ;

Our mixed fruit juice from a and b should be 70% pure fruit = 0.7

Mathematically,

0.35a + 0.85b = 50(0.7)

0.35a + 0.85b = 35 -------(2)

Multiply (2) by 100

35a + 85b = 3500 --------(3)

We can then solve the simultaneous equation:

a + b = 50 -------(1)

35a + 85b = 3500 --------(3)

Multiply (1) by 35

35a + 35b = 1750 -----(4)

35a + 85b = 3500 ---(5)

Subtract (5) from (4)

-50b = -1750

b = 35

Substitute b = 35 into (2)

0.35a + 0.85(35) = 35

0.35a + 29.75 = 35

0.35a = 35 -29.75

0.35a = 5.25

a = 5.25/0.35

a = 15

Juice A = 15

Juice B = 35

Answer:

x = -6    x = -1

Step-by-step explanation:

We want to solve using the zero product property

x^2+7x=-6

Add 6 to each side

x^2 +7x +6 = 0

Factor

What 2 numbers multiply to 6 and add to 7

( x+6) (x+1) =0

Using the zero product property

x+6 =0          x+1 =0

x+6-6 =0-6    x+1-1 = 0-1

x = -6    x = -1