Hello, could anyone please help me with my homework?
Solve for t.
[tex]\mathrm{20=100(\displaystyle\frac{1}{2}) ^{\displaystyle\frac{t}{214} } }[/tex]
Please help!
No spam!
Thank you in advance. :)

I'm assuming problem 6 is the graph on the right.

If so, then the slope is 1/2

Start at a point like (0,-1) which is the y intercept. Move up 1 and to the right 2 to arrive at (2,0) which is the x intercept.

The movement pattern "up 1, right 2" determines the slope directly

slope = rise/run = 1/2

rise = 1 = go up 1

run = 2 = go to the right 2

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

You could also pick two points from the blue line, then use the slope formula. If we picked (0,-1) and (2,0), then

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

m = (0-(-1))/(2-0)

m = (0+1)/(2-0)

m = 1/2

Answer:

-124

Step-by-step explanation:

3x + 2y = 14 (×3) → 9x + 6y = 42

- → x = -18

5x + 3y = 12 (×2) → 10x + 6y = 24

3(-18) + 2y = 14

-54 + 2y = 14 → 2y = 14 + 54 = 68 → y = 68/2 = 34

5x - y = 5(-18) - 34 = -90 - 34 = -124

Answer:

Dilation is a transformation, that stretches or shrinks the original figure presented on the grid based on the scale factor. Included here are umpteen printable worksheets to help 8th grade and high school students hone in on finding the scale factor, identifying the dilation type, determining the new coordinates and drawing the dilated shapes with the center as origin.

Step-by-step explanation:

Answer:

X=20

24-x=24-20=4

Step-by-step explanation:

First number (greater number)= X=20

Second number = 24-x =24-20=4

Answer:

my anawer na po eh 19 marong gento=eh

Answer:

Total = m + j

= 3 + m + 21

Step-by-step explanation:

Mails = 3 miles

Jared = 3 miles + 21 miles

j = m + 21

m = 3

Total = m + j

= 3 + m + 21

Where,

m = 3

Total = 3 + m + 21

= 3 + 3 + 21

= 27

Answer:

10/21

It cant be broken down anymore so it is simplified!

Have a great day!!

Please rate and mark brainliest!!

Answer:

$13,000

Step-by-step explanation:

Given:

Seema bought a refrigerator for {14300 including a GST of 10%.

To FInd:

The price of the refrigerator before GST was added is

Solve:

[tex]\\[/tex]100/100+10×14300

=100/110×14300

=$13,000

Hence, The price of the refrigerator before GST was added is $13,000.

~Learn with Lenvy~

Answer:

Measure of the shortest side is 5 cm

Measure of the longest side is 12 cm

Step-by-step explanation:

Given:

Perimeter of ∆ = 27 cm

Side lengths of ∆: x, 2x, and 3x - 3

Required:

Measure of the shortest side and measure of the longest side.

SOLUTION:

Sum of all sides of the ∆ = Perimeter

[tex] x + 2x + (3x - 3) = 27 [/tex]

Solve for x

[tex] x + 2x + 3x - 3 = 27 [/tex]

Collect like terms

[tex] 6x - 3 = 27 [/tex]

Add 3 to both sides

[tex] 6x = 27 + 3 [/tex]

[tex] 6x = 30 [/tex]

Divide both sides by 6

[tex] x = \frac{30}{6} [/tex]

[tex] x = 5 [/tex]

Length of each side of the ∆:

x = 5 cm

2x = 2(5) = 10 cm

3x - 3 = 3(5) - 3 = 15 - 3 = 12 cm

Measure of the shortest side is 5 cm

Measure of the longest side is 12 cm

Answer:

The formula for circumference of s circle is pi x diameter.

If the circumference is 28 we can divide it by pi to get the Diameter.

28/ pi = 8.9126768131461388030574907488608042739297 rounded to 8.91 (2dp)

The radius is half of the diameter, so this means 8.91 / 2 = 4.46 ft (rounded to 2dp)

Option three [tex]\rm log3+log(x+4)[/tex] is the equivalent to the logarithm expression [tex]\rm log3(x+4)[/tex]

It is given that logarithm expression is  [tex]\rm log3(x+4)[/tex]

It is required to simplify the above equation.

It is another way to represent the power of numbers and we say that 'b' is the logarithm of 'c' with base 'a' if and only if 'a' to the power 'b' equals 'c'.

[tex]\rm a^b=c\\\rm log_ac=b[/tex]

We have logarithm expression:

[tex]\rm log3(x+4)[/tex]

We know the log property that we can split a logarithm into two logarithms if it contains the product of two numbers ie.

[tex]\rm logxy=logx+logy[/tex]

By using this property we get:

[tex]\rm =log3(x+4)\\\rm = log3+log(x+4)[/tex]

Because 3 and (x+4) are two different numbers, not (x+4).

Thus, option three [tex]\rm log3+log(x+4)[/tex] is the equivalent to the logarithm expression [tex]\rm log3(x+4)[/tex]

Learn more about the Logarithm here:

brainly.com/question/163125

Answer:

Step-by-step explanation:

optin three is the answer i have took the test                                                     (Which expression is equivalent to log3(x + 4)?

log3 – log(x + 4)

log12 + logx

log3 + log(x + 4)

StartFraction log 3 Over log (x + 4) EndFraction)

The annual interest rate on the saving account of Xavier which is earned simple interest is 9%.

Simple interest is the amount charged on the principal amount with a fixed rate of interest for a time period. Simple interest calculated only on the principal amount.

The formula for the simple interest can be given as,

[tex]I=\dfrac{PRT}{100}[/tex]

Here, (I) is the interest amount on the principal amount of (P) with the rate of (r) in the time period of (t).

Xavier opened a savings account with a deposit of $12,000. At the end of 3 years, the account balance was $12,324.

The principal amount is $12000 and the total amount is $12324. Thus, the interest earned by the Xavier is,

[tex]I=12324-12000\\I=324[/tex]

Total time period is 3 years and the account earned simple interest. Thus, put these values in the above formula as,

[tex]324=\dfrac{(12000)R(3)}{100}\\R=\dfrac{32400}{12000\times3}\\R=9\%[/tex]

Hence, the annual interest rate on the saving account of Xavier which is earned simple interest is 9%.

Learn more about the simple interest here;

https://brainly.com/question/2294792

Answer: it’s $305,000

Step-by-step explanation:

correct on ED2022

Answer:

B

Step-by-step explanation:

I just got it right

Let the width be "x" cm.

Then the length is "x+12" cm

And the area = x(x+12) = x^2+12x cm^2

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

Change the dimensions:

width = "x-2" cm

length = "x+10" cm

New area = (x-2)(x+10) = x^2 + 8x - 20 cm^2

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

Equations :

Old area - New area = 108 cm^2

x^2+12x -(x^2 + 8x - 20) = 108

4x + 20 = 108

4x = 88

x = 22 cm (original width)

x+12 = 24 cm (original length)

Answer:

Associative Property of Multiplication

Step-by-step explanation:

Even though the Associative Property usually means adding or subtracting, under these circumstances, it can be used with multiplication.

A radian is denoted by rad and it's the standard unit that is used for the measurement of angles.

Your information is incomplete. Therefore, an overview of radians will be given. Radian is the standard unit for angular measurement.

A radian is a unit of measure for angles which is based on the radius of circles. The formula used for radians is simply put as:

= (Degrees × π) / 180°

For example 60° will be:

= (60° × π) / 180°

= π/3

Therefore, 60° converted to radians is π/3.

Learn more about radian on:

https://brainly.com/question/19758686

Answer:

Average rate of change = -4

Step-by-step explanation:

Given:

f(x) = x² + 7x + 10

-8 ≤ x ≤ -3 or [-8, -3] in interval notation

Average rate of change of the function can be solved using the formula:

[tex]\mathrm{Average\:rate\:of\:change} = \dfrac{ f \left( b \right) -f \left( a \right) }{ b-a }[/tex]

[tex]\mathrm{Average\:rate\:of\:change} = \dfrac{ f \left( -3 \right) -f \left( -8 \right) }{ -3 - (-8) }[/tex]

[tex]\mathrm{Average\:rate\:of\:change} = \dfrac{ f \left( -3 \right) -f \left( -8 \right) }{ -3 + 8 }[/tex]

[tex]\mathrm{Average\:rate\:of\:change} = \dfrac{ f \left( -3 \right) -f \left( -8 \right) }{ 5 }[/tex]

Substitute x = -3 to the given function for f(-3) and x = -8 for f(-8)

[tex]\mathrm{Average\:rate\:of\:change} = \dfrac{ f \left( -3 \right) -f \left( -8 \right) }{ 5 }[/tex][tex]\mathrm{Average\:rate\:of\:change} = \dfrac{ { \left[( -3 \right) }^{ 2 } +7 \left( -3 \right) +10]- { \left[( -8 \right) }^{ 2 } +7 \left( -8 \right) +10] }{ 5 }[/tex]

[tex]\mathrm{Average\:rate\:of\:change} = \dfrac{ [9-21+10]-[64-56+10] }{ 5 }[/tex]

[tex]\mathrm{Average\:rate\:of\:change} = \dfrac{ [-2]-[18] }{ 5 }[/tex]

[tex]\mathrm{Average\:rate\:of\:change} = \dfrac{ - 20 }{ 5 }[/tex]

[tex]\mathrm{Average\:rate\:of\:change} = {-4 }[/tex]

Answer:

Step-by-step explanation:

Answer:

1 gallon every 6 days

Step-by-step explanation:

To obtain a whole-number ratio, we multiply the 1/2 gallon by two. Since we are doing that, we should multiply the 3 days by two also.

Answer:

free points or nah if not its A

Given:

The function is

[tex]f(x)=x^3-7x^2+10x[/tex]

To find:

The end behavior of its graph.

Solution:

We have,

[tex]f(x)=x^3-7x^2+10x[/tex]

Here, leading coefficient is 1 which is positive and degree of function is 3 which is odd.

For odd degree and positive leading coefficient, the end behavior is

[tex]f(x)\to \infty\text{ as }x\to \infty[/tex]

[tex]f(x)\to -\infty\text{ as }x\to -\infty[/tex]

Using this, we get

[tex]\text{As }x\to \infty, y\to \infty[/tex]

[tex]\text{As }x\to -\infty, y\to -\infty[/tex]

Therefore, the correct statements are A and D.

We want to study the end behavior of the given polynomial.

The two correct statements are A and D.

The polynomial is:

f(x)  = x^3 - 7*x^2 + 10*x.

We can see that the degree of this polynomial is odd, this means that the behavior on the negative side is opposite to the one in the positive side.

In this case, the leading coefficient is one, so it is positive. This will mean that, for large positive values of x, f(x) will be positive.

For large (in absolute value) negative values of x, f(x) will be negative.

Then the end behavior is given by:

So the two correct statements are A and D.

If you want to learn more, you can read:

https://brainly.com/question/22723521

Answer:

nonlinear

Step-by-step explanation:

[tex]x(x + 3) = {x}^{2} + 3 \\ \: it \: will \: be \: a \: parabola \: because \: of \: the \: {x}^{2} [/tex]

Step-by-step explanation:

1.

(80-4)²÷8

(76)²÷8

5776÷8

722

2.

92.3-(3.2÷0.4)*2³

92.3-8*2³

92.3-8*8

92.3-64

28.3

3.

[(2³*2.5÷1/2)]+120

(8*5)+120

40+120

160

4.

(2*10⁰)÷1/3+8

(2*1)÷1/3+8

2÷1/3+8

6+8

14

Wishing Success

Answer:

x=12

Step-by-step explanation:

AB/FE=BC/EC

x/6= 5+5/5

x/6=10/5

x=6(2)

x=12

~

Answer: variables

Letters can represent any number, therefore it varies, thus the name “variable”

Answer:

true

Step-by-step explanation:

Answer: True

Step-by-step explanation:

[tex]\tan ^2\left(x\right)\cos ^2\left(x\right)=1-\cos ^2\left(x\right)[/tex]

[tex]\mathrm{Manipulating\:left\:side}[/tex]

[tex]\tan ^2\left(x\right)\cos ^2\left(x\right)[/tex]

[tex]\mathrm{Use \ the \ basic \ trigonometric \ identity \ \:tan\left(x\right)=\frac{sin\left(x\right)}{cos\left(x\right)}}[/tex]

[tex]=\cos ^2\left(x\right)\left(\frac{\sin \left(x\right)}{\cos \left(x\right)}\right)^2[/tex]

[tex]=\frac{\sin ^2\left(x\right)}{\cos ^2\left(x\right)}\cos ^2\left(x\right)[/tex]

[tex]=\frac{\sin ^2\left(x\right)\cos ^2\left(x\right)}{\cos ^2\left(x\right)}[/tex]

[tex]\mathrm{Cancel\:the\:common\:factor:}\:\cos ^2\left(x\right)[/tex]

[tex]=\sin ^2\left(x\right)[/tex]

[tex]\mathrm{Use \ the \ Pythagorean \ identity \ \cos ^2\left(x\right)-\sin ^2\left(x\right)=1 \rightarrow \sin ^2\left(x\right)=1-\cos ^2\left(x\right)}}[/tex]

[tex]=1-\cos ^2\left(x\right)[/tex]

[tex]1-\cos ^2\left(x\right) =1-\cos ^2\left(x\right)[/tex]

Left side = right side

Therefore, the identity is true

Answer:

b=8.9m

Step-by-step explanation:

you would need to use Pythagoras theorem

a²+b²=c²

as we know c=9m and a=1.5m we need to find b so you would have to rearrange the equation

b²=c²-a²

b²=9²-1.5²

b²=81-2.25

b²=78.75

b=√78.75

b= 8.9m (1DP)

Answer:

12.5%

Step-by-step explanation:

40000-35000=5000

5000/40000*100=12.5%

the answer to this question is is 12.5%.