Explain your answer

Thank you so much !

Will give brainlst

Answer:

17/6 LMK if you need a different form.

Step-by-step explanation:

Answer:

A. (3,-4)

Step-by-step explanation:

if we reflect on the x axis, the y changes

if we reflect on the y axis, the x changes

Answer:

To solve this system of equations using substitution, we first need to solve one of the equations for one of the variables in terms of the other.

Let's solve the first equation for x:

6x - 5y = 10

x = (10 + 5y)/6

Now let's substitute this expression for x into the second equation:

x - 3y = -20

(10 + 5y)/6 - 3y = -20

10/6 + 5y/6 - 3y = -20

(10/6 - 3y) + (5y/6) = -20

(10 - 3y)/6 + 5y/6 = -20

10/6 - 3y/6 + 5y/6 = -20

(-3y + 5y)/6 = -20

2y/6 = -20

y = -10

Now that we have found the value of y, we can substitute it back into one of the original equations to find the value of x. Let's use the first equation:

6x - 5y = 10

6x - 5(-10) = 10

6x + 50 = 10

6x = -40

x = -40/6

x = -40/6

x = -6.666666666666667

So the solution to the system of equations is (x, y) = (-6.666666666666667, -10).

b'

Let the given points be A(3,-5) and B(5,-1).

AB= sqrt of (5−3) ² +(−1+5)²

= sqrt of 4+16

= sqrt of 20

=2 sqrt of 5 units

Answer:

i cant see teh expressions but..

Step-by-step explanation:

341+983=1324

1324 *divided by* 36

35 days :)

The gravitational force varies directly with mass of the objects and

inversely with the square of the distance between them, therefore,

doubling the mass doubles the gravitational force while halving the

distance between the masses quadruples the gravitational force. The

option that create the greatest increase in the gravitational force is;

Halving the distance between the masses.

Reasons:

The known parameters are;

m₁ = 200 kg

m₂ = 400 kg

The distance between the centers of the masses = 8 meters

Required:

Change in variable that produces the greatest increase in the gravitational

force.

Solution;

The equation for the gravitational force is \(F = \mathbf{G \cdot \dfrac{m_{1} \cdot m_{2}}{r^{2}}}\)

The gravitational force between the masses is therefore;

\(F =6.67408 \times 10^{-11} \times \dfrac{200 \times 400}{8^{2}} = 8.3426 \times 10^{-8}\)

F = 8.3426 × 10⁻⁸ N

Doubling the mass of m₂ gives;

\(F_{2 \cdot m } = G \cdot \dfrac{m_{1} \cdot 2 \times m_{2}}{r^{2}} = \mathbf{2 \times G \cdot \dfrac{m_{1} \cdot m_{2}}{r^{2}}}\)

Doubling the mass of m₂, doubles the gravitational force.

\(F_{2 \cdot m }\) = 2 × F = 2 × 8.3426 × 10⁻⁸ N = 1.66852 × 10⁻⁷ N

Halving the distance between the masses gives;

\(F_{\frac{r}{2} } =G \cdot \dfrac{m_{1} \cdot m_{2}}{\left(\dfrac{r}{2} \right) ^{2}} = 4 \times G \cdot \dfrac{m_{1} \cdot m_{2}}{r^{2}}\)

\(F_{\frac{r}{2} }\) = 4 × F = 4 × 8.3426 × 10⁻⁸ N = 3.33704 × 10⁻⁷ N

Therefore, halving the distance between the masses quadruples (multiplies

by 4) the gravitational force between the masses.

Halving the distance between the masses creates the greatest

increase in the gravitational force because the gravitational force varies

with inverse of the square of the distance between the masses, and,

halving the distance between the masses has the effect of quadrupling the

gravitational force.

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Answer:

The gravitational force varies directly with mass of the objects and

inversely with the square of the distance between them, therefore,

doubling the mass doubles the gravitational force while halving the

distance between the masses quadruples the gravitational force. The

option that crate the greatest increase in the gravitational force is halving

the distance between the masses.

Step-by-step explanation:

Answer:

horizontal y=1

vertical x=6

Answer:

see below

Step-by-step explanation:

horizontal line:y=1 cause on this line y is always 1 regardless what x is

vertical line: x=6 cause on this line x is always 6 regardless what y is

Answer:

fasdfjahlskfhkajshf

Step-by-step explanation:

jfdlhgkdfhgldfhg lsdfjhgsdhflhg klsfdhgjdsfhgkdfhgh

∑⊥⇆Ф↑↓∩¬║⊅α∨∧

(testing answer, sorry for that)

Answer:

I'm pretty sure it's C. 1/6

what you mean but heres the points on the map u were talking about

Answer: The slope m = 3/5

Step-by-step explanation:

The slope can be found by using the formula: m = y2 - y1 / x2-x1

Where m is the slope and (x1, y1) and (x2, y2) are the two points on the line.

x1 = 2  , y1 = 1

x2 = -3 , y2 = -2

Substituting the values from the points in the problem gives :

m = -2-1 / -3-2

m = 3/5

Hence, the slope that passes through (2, 1) and (-3, -2) is 3/5.

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The Bakers make 85 glazed donuts.

To solve this problem, we need to determine how many glazed donuts and how many donut holes can be made from 80 pounds of dough. Then, we can compare the quantities of each to determine the difference.

First, we need to convert 80 pounds to ounces, since the amounts of dough for each type of donut are given in ounces. There are 16 ounces in a pound, so 80 pounds is equal to 80 x 16 = 1,280 ounces.

Next, we can set up two equations based on the amounts of dough needed for each type of donut:

Glazed donuts: 10 ounces of dough per donut

Donut holes: 2 ounces of dough per hole

Let's use "g" to represent the number of glazed donuts and "h" to represent the number of donut holes. We know that the total amount of dough used must be 1,280 ounces, so we can write:

10g + 2h = 1,280

We also know that the bakers divide the dough evenly between glazed donuts and donut holes, so the total number of donuts must be:

g + h = ?

We don't know the total number of donuts yet, but we do know that it must be an even number, since the dough is divided evenly between glazed donuts and donut holes.

To solve for g and h, we can use substitution or elimination. Let's use substitution. We can solve the first equation for one of the variables, such as h:

h = (1,280 - 10g) / 2

Then, we can substitute this expression for h in the second equation:

g + (1,280 - 10g) / 2 = ?

Simplifying this equation, we get:

g + 640 - 5g = ?

Combining like terms, we get:

5g + 640 = ?

Subtracting 640 from both sides, we get:

5g = -640

Dividing both sides by 5, we get:

g = -128

This doesn't make sense as a solution, since we can't have negative numbers of donuts. This means there must be an error in our calculations or assumptions.

Let's go back to the second equation:

g + h = ?

We know that the total number of donuts must be an even number, so we can write:g + h = 2n

where n is some positive integer. We can substitute this expression for g + h in the first equation:10g + 2h = 1,280

10g + 2(2n - g) = 1,280

Simplifying this equation, we get 14g - 4n = 1,28

Dividing both sides by 2, we get:7g - 2n = 640

Now we have two equations:7g - 2n = 640

g + h = 2n

We can use substitution or elimination to solve for g and h. Let's use elimination. We can multiply the first equation by 2 and add it to the second equation:14g - 4n = 1,280

2g + 2h = 4n

Multiplying the first equation by 2, we get:28g - 8n = 2,560

Adding this to the second equation, we get:30g = 2,560

Dividing both sides by 30, we get:g = 85.33

This means that the bakers make 85 glazed donuts. To find the number of donut holes, we can substitute this value

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Answer:

$15

Step-by-step explanation:

Each cup is 50 cents which is basically $0.50

Multiply $0.50 by 120= $60

Because you and your three friends equal 4 total people,

divide 60 by 4 to get your own profit:

60/4=15

The perimeter of rectangle M'N'O'P' is given as follows:

54 cm.

A dilation can be defined as a transformation that multiplies the distance between every point in an object and a fixed point, called the center of dilation, by a constant factor called the scale factor.

The ratio between the areas is given as follows:

126/14 = 9.

The area is measure in square units, while the perimeter is measured in units, hence the ratio of the perimeters is the square root of the ratio of the areas, that is:

3.

Hence the perimeter of rectangle M'N'O'P' is given as follows:

3 x 18 = 54 cm.

The complete problem is:

Rectangle MNOP has a perimeter of 18 cm and an area of 14 cm2. After rectangle MNOP is dilated, rectangle M'N'O'P' has an area of 126 cm2. What is the perimeter of rectangle M'N'O'P'?

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The temperature at the bottom of the mountain is 50.9 °C.

Let's work through the given information step by step to find the temperature at the bottom of the mountain.

The temperature in the hotel is 21 °C.

The temperature in the hotel is 26.7 °C warmer than at the top of the mountain.

Let's denote the temperature at the top of the mountain as T_top.

So, the temperature in the hotel can be expressed as T_top + 26.7 °C.

The temperature at the top of the mountain is 3.2 °C colder than at the bottom of the mountain.

Let's denote the temperature at the bottom of the mountain as T_bottom.

So, the temperature at the top of the mountain can be expressed as T_bottom - 3.2 °C.

Now, let's combine the information we have:

T_top + 26.7 °C = T_bottom - 3.2 °C

To find the temperature at the bottom of the mountain (T_bottom), we need to isolate it on one side of the equation. Let's do the calculations:

T_bottom = T_top + 26.7 °C + 3.2 °C

T_bottom = T_top + 29.9 °C

Since we know that the temperature in the hotel is 21 °C, we can substitute T_top with 21 °C:

T_bottom = 21 °C + 29.9 °C

T_bottom = 50.9 °C

Therefore, the temperature at the bottom of the mountain is 50.9 °C.

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The amount that you will have in 3 years, given the interest rate and the amount won, is 1, 195, 618. 17 currency units

To find the amount earned in three years as a result of your lottery being invested, use the future value formula which is:

= Amount won x ( 1 + periodic  rate ) ^ number of periods

Periodic rate :

= 6 % / 4 quarters per year

= 1. 5 %

The number of periods is:

= 3 years x 4 quarters per year

= 12 quarters

The amount you will have in 3 years is:
= 1,000,000 x ( 1 + 1. 5 %) ¹²

= 1, 195, 618. 17 currency units

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Answer:

i hope this helpes

Step-by-step explanation:

(a) To find the time necessary to type 50 words per minute, we need to solve the equation:

157/1 + 5.4e^-0.12t = 50

Rearranging the equation to isolate e^-0.12t and using the natural logarithm, we can find t:

ln(N - 157) = ln(5.4) - 0.12t

-ln(N - 157) = 0.12t - ln(5.4)

0.12t = ln(5.4) + ln(N - 157)

t = (ln(5.4) + ln(N - 157)) / 0.12

Plugging in N = 50, we get:

t ≈ 11.52 weeks

(b) To find the time necessary to type 75 words per minute, we follow the same steps as above:

157/1 + 5.4e^-0.12t = 75

ln(N - 157) = ln(5.4) - 0.12t

-ln(N - 157) = 0.12t - ln(5.4)

0.12t = ln(5.4) + ln(N - 157)

t = (ln(5.4) + ln(N - 157)) / 0.12

Plugging in N = 75, we get:

t ≈ 9.32 weeks

Answer:

For 50 wpm : 7.7 weeks approximately

For 75 wpm : 13.3 weeks approximately

Step-by-step explanation:

Given the relationship between N, the typing speed and t, the number of weeks of lessons as:

\(\mbox{\large N= \dfrac{157}{1+5.4e^{-0.12t}}}\)

To solve for t for a particular N

cross-multiply the left side with the right side denominator to get

\(\mbox{\large 1+5.4e^{-0.12t } = \dfrac{157}{N}}\)

For N= 50 this works out to

\(\mbox{\large 1+5.4e^{-0.12t } = \dfrac{157}{50}}\)

\(\mbox{\large 5.4e^{-0.12t } = \dfrac{157}{50} - 1}\\\)
\(\mbox{\large 5.4e^{-0.12t } = \dfrac{157-50}{50} } = \dfrac{107}{5} = 2.14\)

Divide by 5.4 both sides:

\(\mbox{\large e^{-0.12t } = \dfrac{2.14}{5.4}} = 0.3963\\\)

Take natural logs on both sides

\(\mbox{\large \ln(e^{-0.12t}) = \ln(0.3963)\\}\)

\(\mbox{\large \ln(e^{-0.12t}) = -0.12 \;\textrm{since $ln(e^x)$ = x}}\)  since ln(eˣ) = x

ln(0.3963) = -0.9256

Therefore

\(t = \dfrac{-0.9256}{-0.12} = \dfrac{0.9256}{0.12} = {7.7133 \;weeks\approx \mbox{\large \boxed{7.7 \;weeks}}\)

For N = 75, follow the same strategy and you will end up with

\(1+5.4e^{-0.12t}=\dfrac{157}{75} \\\\\\1+5.4e^{-0.12t}= 2.0933\\\\5.4e^{-0.12t} = 2.0933 - 1 = 1.0933\\\\e^{-0.12t} = \dfrac{1.0933}{5.4} = 0.2025\\\\\)

Taking logs on both sides
\(-0.12t =-1.5971\)

\(t = \dfrac{-1.5971}{-0.12} = 13.3097 \;weeks \approx \boxed{\mbox{\large 13.3 \;weeks}}\)

We will have the following:

a) The probability that all of the offices are filled by members of the debate team is:

b) We will have that the probability that none of the offices are filled with filled by memebers of the debate team is:

Among the given options, 90 degrees (option A) is not a solution to the equation sin(2θ) = 1. The equation sin(2θ) = 1 represents the values of θ for which the sine of twice the angle is equal to 1. To determine which option is not a solution, we need to evaluate each choice.

A) 90 degrees: If we substitute θ = 90 degrees into the equation sin(2θ) = 1, we get sin(180 degrees) = 1. However, sin(180 degrees) is actually 0, not 1. Therefore, 90 degrees is not a solution to the equation sin(2θ) = 1.

B) 45 degrees: Substituting θ = 45 degrees gives sin(90 degrees) = 1, which is true. Therefore, 45 degrees is a solution to the equation sin(2θ) = 1.

C) 225 degrees: When we substitute θ = 225 degrees, we get sin(450 degrees) = 1. However, sin(450 degrees) is also 0, not 1. Thus, 225 degrees is not a solution to sin(2θ) = 1.

D) -135 degrees: Similarly, substituting θ = -135 degrees gives sin(-270 degrees) = 1. However, sin(-270 degrees) is 0, not 1. Hence, -135 degrees is not a solution to the equation sin(2θ) = 1.

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For the normal distribution of helium porosity (in percentage) of coal samples,

a) 95% CI for the true average porosity of a certain seam is equals to ( 4.56 , 5.14 ).

b) A 98% CI for true average porosity of another seam based on 14 specimens is equals to (4.11 , 5.01).

c) Sample size with width of confidence interval 0.42 is 45.

d) Necessary Sample size to estimate true average porosity to within 0.24 is 60.

We have Assume that the helium porosity (in percentage) of coal samples taken from any particular seam is normally distributed.

Standard deviations, σ = 0.72

a)Average porosity of specimens , X-bar = 4.85

Sample size, n = 23

Confidence level , alpha = 95% = 0.95

From Normal Distribution table

Z for 95% Confidence Interval = 1.96

so,95% Confidence interval = (x-bar - Z× σ/sqrt(n) , x-bar + Z×σ/sqrt(n) )

plugging all known values in above formula,

= ( 4.85-1.96×0.72/sqrt(23) , 4.85+1.96×0.72/sqrt(23) )

So, 95% Confidence interval = ( 4.56 , 5.14 )

b)Now, Sample size, n = 14

sample mean, X-bar = 4.56

from normal distribution Z- table

Z-score for 98% CI is equal to 2.33

so,98% CI = (x-bar-Z×σ/sqrt(n) , x-bar+Z×σ/sqrt(n) )

= ( 4.56-2.33×0.72/√14 , 4.56+2.33×0.72/√14 )

98% CI = ( 4.11 , 5.01 )

c)Using the normal Distribution Z- table

Z for 95% CI = 1.96

Width of confidence interval = 0.42

we have to determine the sample size, n .

Using formula, Width = 2×Z×σ/sqrt(n)

=> n = (2×Z×sd/width)²

=> n= (2×1.96×0.72/0.42)²

=> n = 45.15

=> n = 45 ( whole number)

d) From normal distribution table

Z for 99% CI = 2.58

Margin of error, ME = 0.24

margin of error = ME = Z×σ/sqrt(n)

=> n = (Z× σ/ME)²

=> n= (2.58×0.72/0.24)²

=> n = 59.9

=> n = 60

Hence, required sample size is 60.

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The compound interest rate of the investment is 1.10%

The given parameters about the compound interest are

Principal, P = $11,000

Amount, A = $20,000

Time, t = 9

Number of times, n = 12 i.e. monthly interest

To calculate the amount, we have:

A = P(1 + R/n)^nt

Substitute the known values in the above equation, so, we have the following representation

20000 = 11000 * (1 + r/12)^(12 * 9)

This gives

1.82 = (1 + r/12)^108

Take the 108th root of both sides

1 + r/2 = 1.0055

Subtract 1 from both sides

r/2 = 0.0055

Multiply by 2

r = 0.011

Express as percentage

r = 1.10%

Hence, the value of the interest rate is 1.10%

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Answer:

6.66%

Step-by-step explanation:

Compounded Monthly:

�

=

�

(

1

+

�

�

)

�

�

A=P(1+

n

r

​

)

nt

Compound interest formula

�

=

20000

�

=

11000

�

=

9

�

=

12

A=20000P=11000t=9n=12

Given values

20000

=

20000=

11000

(

1

+

�

12

)

12

(

9

)

11000(1+

12

r

​

)

12(9)

Plug in values

20000

=

20000=

11000

(

1

+

�

12

)

108

11000(1+

12

r

​

)

108

Multiply

20000

11000

=

11000

20000

​

=

11000

(

1

+

�

12

)

108

11000

11000

11000(1+

12

r

​

)

108

​

Divide by 11000

1.8181818

=

1.8181818=

(

1

+

�

12

)

108

(1+

12

r

​

)

108

(

1.8181818

)

1

/

108

=

(1.8181818)

1/108

=

[

(

1

+

�

12

)

108

]

1

/

108

[(1+

12

r

​

)

108

]

1/108

Raise both sides to 1/108 power

1.0055509

=

1.0055509=

1

+

�

12

1+

12

r

​

−

1

−1=

−

1

−1

Subtract 1

0.0055509

=

0.0055509=

�

12

12

r

​

12

(

0.0055509

)

=

12(0.0055509)=

(

�

12

)

12

(

12

r

​

)12

Multiply by 12

0.0666108

=

0.0666108=

�

r

6.66108

%

=

6.66108%=

�

r

Convert to percent (multiply by 100)

�

≈

r≈

6.66

%

6.66%

Round to the nearest hundredth of a percent

Answer: 17 and 1/2 miles

Step-by-step explanation: They are 15 miles away from eachother which means halfway between the two is 7 and 1/2. 10 plus 7 and 1/2 is 17 and 1/2 and 25 minus 7 and 1/2 is 17 and 1/2.

Answer:

AB=BC

root AB=root BC

root(x2-x1

Answer:

12

Step-by-step explanation:

12 / 13 = x / 13

Cross Multiply,

12 * 13 = 13 * x

x = ( 12 * 13 ) / 13

x = 12

Answer:

36 < (x - 2)² + (y + 3)² and 16 > (x - 4)² + y²

Step-by-step explanation:

This is because the shaded area is inside the first circle (centered at (4, 0) with a radius of 4) but outside the second circle (centered at (2, -3) with a radius of 6). The inequalities reflect these conditions by setting the inequality signs accordingly. The inequality with "<" for the first circle ensures that the shaded area is within the circle, and the inequality with ">" for the second circle ensures that the shaded area is outside the circle.

Answer:

Problem 9:  One solution

Problem 10:  Infinitely many solutions

Problem 11: One solution

Problem 12:  No solution

Step-by-step explanation:

Solving one-variable equations

When solving a one variable equation, there are two steps:

During Step 1 of that process, usually one will be combining like-terms to take two terms that contain x, and merging them into one term that contains x.  However, occasionally, the like terms contain x will completely cancel, leaving an equation with no variable left in it.

At that point, there are one of two possibilities:

If the remaining equation is true, it doesn't matter what the value of x is, the equation will be true.  This means there are infinitely many solutions (any value of x will make the equation true).

Similarly, if the remaining equation is false, it doesn't matter what the value of x is, the equation will be false.  This means there are no solutions (no values of x that will make the equation true).

Problem 9

\(3-x=x-3\)

Add "x" to both sides to move the x-term on the left side of the equation from the left, to the right side, and group like terms.

\(3=2x-3\)

We were able to combine like terms containing the x into a single term.  This equation will have one solution.

The remaining work is unnecessary to answer the question, but shows that there is one solution, the steps to find it, and what it is.

\(6=2x\)

\(3=x\)

Problem 10

\(4x-8=4(x-2)\)

Use the distributive property on the expression on right hand side of the equation ...

\(4x-8=4x-8\)

Observe that at this point, the entire left hand side of the equation EXACTLY matches that of the entire right hand side of the equation.

They are not just equal, they are exactly the same.

Attempting to move the term with x on the left hand side to the right hand side will require subtracting 4x from both sides, but combining like terms will cancel all terms with x on both sides....

\(-8=-8\)

Since negative eight is ALWAYS equal to negative eight, no matter what value you choose for x, the equation must be true because each side is the same exact expression.  This means there are infinitely many solutions.

Problem 11

\(5(1-x)=5+5x\)

Apply the distributive property on the expression on left hand side of the equation ...

\(5-5x=5+5x\)

Add 5x to both sides of the equation to move the terms with x on the left side to the right side of the equation, and combine like terms...

\(5=5+10x\)

Again, we were able to combine like terms containing the x into a single term.  This equation will have only one solution:

Subtract 5 from both sides...

\(0=10x\)

Divide both sides by 10...

\(0=x\)

Problem 12

\(x+2(x-7)=3x-7\)

Apply the distributive property on the expression on left hand side of the equation ...

\(x+2x-14=3x-7\)

Combine like terms on the left hand side of the equation...

\(3x-14=3x-7\)

To move the term with x from the left side to the right side, subtract 3x from both sides, and combine like terms...

\(-14=-7\)

Here, when combining like terms, the x all canceled out, and negative 14 is not equal to negative 7.  So, there is no solution so this equation.

Answer:

4005

Step-by-step explanation:

3,998 - (-7) = ?

Two negative signs will make a positive sign.

3,998 - (-7) = 3998 + 7 = 4005

So, the answer is 4005

The most appropriate choice for compound interest will be given by-

1) If compounded monthly, amount = $9160

2)If compounded continuously, amount = $218

What is compound interest?

If the interest on a certain principal at a certain rate over a certain period of time increases exponentially (not linearly), the interest earned is known as compound interest.

If P is the principal, r is the rate and t is the time in years,

\(A = P(1+\frac{r}{100})^n\)

Here,

Principal = $28

Rate = 4%

Time = 2010 - 1855

         = 145 years

a) If compounded monthly

Amount =

\(28(1 + \frac{4}{1200})^{145\times 12}\\28(1 + \frac{1}{300})^{1740}\\28(\frac{300+1}{300})^{1740}\\28(\frac{301}{300})^{1740}\\28 \times 327.13\\\)

$9159.56

$9160

b) If compounded continuously

Amount =

\(28 \times e^{4\times 145}\\28e^{580}\\28 \times 7.78\\\)

$217.84

$218

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Answer:

the actual sales be $31,132

Step-by-step explanation:

The computation of the actual sales is as follows:

Let us suppose the actual sales be x

Now the sales tax be 0.06x

Now the total sales would be

x + 0.06x = $33,000

1.06x = $33,000

x = $33,000 ÷ 1.06

= $31,132

hence, the actual sales be $31,132

The same is to be considered by applying the above equation

Answer:

actual sales be $31,132

Step-by-step explanation: