Rewrite the following equation in slope-intercept form.
17x – 7y = 19
I need help with this

Answer:

A. 115

B. 65

C. 115

D. 65

E. 115

F. 665

G. 115

Step-by-step explanation:

a straight line is a 180 degree angle. If one of 2 angles is 65 degrees the other angle will be 115 because 180-65= 115

since both lines on the graph are parallel the angles will be coresponding.

The interest is 16% compounded semi-annually, is Rs. 121,179.10.

To determine how much money needs to be deposited now to provide a payment of Rs. 15,000 at the end of each half year for 10 years, we will use the formula for the present value of an annuity.

Present value of an annuity = (Payment amount x (1 - (1 + r)^-n))/rWhere:r = interest rate per compounding periodn = number of compounding periodsPayment amount = Rs. 15,000n = 10 x 2 = 20 (since there are 2 half years in a year and the payments are made for 10 years)

So, we have:r = 16%/2 = 8% (since the interest is compounded semi-annually)Payment amount = Rs. 15,000Using the above formula, we can calculate the present value of the annuity as follows:

Present value of annuity = (15000 x (1 - (1 + 0.08)^-20))/0.08 = Rs. 121,179.10Therefore, the amount that needs to be deposited now to provide payment of Rs. 15,000 at the end of each half year for 10 years, if the interest is 16% compounded semi-annually, is Rs. 121,179.10.

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Answer:

hello! :) have a good day!

Exact Form:

b =15/4

Decimal Form:

b =3.75

Mixed Number Form:

b =3 3/4

The image coordinates of K′ if the preimage is reflected across y = −7 is (-4, -8)

Based on the given question, we have certain variables that can be utilized for our calculations.

K = (-4, -6)

First, find the equation of the reflection line

The reflection line is y = -7.

This can be expressed as

y = a = -7

The image of the reflection is then calculated as

K' = (x, -(y + 2|a|))

Replace the given or established values in the equation mentioned earlier, resulting in the following expression

K' = (-4, -(-6 + 2 * 7))

Evaluate

K' = (-4, -8)

Hence, the image coordinates of K′ are (-4, -8).

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Answer:

a aaaaàaaaaaaaaaaaaaaaaaaaaa

Answer:1493.5

Step-by-step explanation:

Answer:

1493.5

Step-by-step explanation:

No need for a step by step thingy  i will just give it to u

lopum no shindeu he no vinciedique

Answer:

25

Step-by-step explanation:

AC=50  ∴BC=25

DF is the opposite of BC ( take it as a square BCDF)

Answer:

μp^​​​​​ = 0.8

σp^ = √0.8(1−0.8)/75​​​

Step-by-step explanation:

Answer:

A. 6 inchesssssssss

Answer:

6

Step-by-step explanation:

Answer:

5 products are selected every hour.

Step-by-step explanation:

Giving the following information:

You work on a line where a finished product is selected every 12 minutes for inspection

First, we structure the selection formula:

y= x/12

y= number of products selected

x= number of minutes

For 60 minutes:

y= 60/12

y= 5 products

Answer

It's 100 or as the test says its B.

if 1 2 3 = 2

then 3 5 4 = 5

hope it helps:)

Answer:

350d ≥ 1400

Hope it helps

Answer: a. Multicollinearity occurs when two or more independent variables are highly correlated.

Step-by-step explanation:

Multicollinearity usuall occurs when an independent variables in a regression model is correlated. This correlation is a problem which occurs because independent variables should be independent. If the degree of correlation between variables is high enough, it would cause problems when you fit the models or try to interpret the results.

According to the statement of multicollinearity, option b is the correct answer it occurs when two or more independent variables are highly correlated.

Multicollinearity refers to the occurrence of two or more independent variables which are highly correlated with one another in a regression model.

The statement means that in a regression model, independent variables can be predicted from another independent variable.

For example,

Multicollinearity can also occur when new dependent variables are created which are dependent on others.

It can be an issue when the regression model is only being used to understand the relationship. It is unable to distinguish between the separate effect of an independent variable on the dependent one.

So, option a is correct in that is multicollinearity occurs when two or more independent variables are highly correlated.

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Answer:

18

Step-by-step explanation:

If 4 out of 10 wore glasses, then 6 out of 10 did not wear classes.  This would be 60% or .6

.6x30 = 18

Answer:

\( 51.278 -2.896 \frac{22.979}{\sqrt{9}}= 29.096\)

\( 51.278 +2.896 \frac{22.979}{\sqrt{9}}= 73.460\)

And the interval would be:

\( (29.10 \leq \mu \leq 73.46)\)

Step-by-step explanation:

For this problem we have the following dataset given:

44 32.8 59.2 31.4 12.7 68.5 84.7 72.5 55.7

We can find the mean and sample deviation with the following formulas:

\( \bar X= \frac{\sum_{i=1}^n X_i}{n}\)

\( s=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}\)

And replacing we got:

\(\bar X= 51.278\)

\( s= 22.979\)

The confidence interval for the mean is given by:

\( \bar X \pm t_{\alpha/2} \frac{s}{\sqrt{n}}\)

The degrees of freedom are:

\( df=n-1= 9-1=8\)

The confidence would be 0.98 and the significance \(\alpha=0.02\) then the critical value would be:

\( t_{\alpha/2}= 2.896\)

Ad replacing we got:

\( 51.278 -2.896 \frac{22.979}{\sqrt{9}}= 29.096\)

\( 51.278 +2.896 \frac{22.979}{\sqrt{9}}= 73.460\)

And the interval would be:

\( (29.10 \leq \mu \leq 73.46)\)

According to the information, we can infer that Mazibane must pay R3640 into the account on 30 June to have no debt.

To calculate the amount Mazibane must pay on 30 June to have no debt in the account, we need to consider the initial debt, the interest, and the previous payment.

Initial Debt:

Interest Calculation:

Previous Payment:

To determine the remaining debt on 1 June, we subtract the payment from the initial debt:

From 1 June to 30 June, a period of one month, interest is charged on the remaining debt.

To calculate the interest for one month, we use the formula:

where the principal is the remaining debt, the rate is the monthly interest rate (16%/12), and the time is the number of months (1).

To find the total debt on 30 June, we add the remaining debt on 1 June and the interest for one month:

To have no debt on 30 June, Mazibane must pay the total debt amount:

Calculating the interest and summing up the values, we find that Mazibane must pay approximately R3640 into the account on 30 June to have no debt.

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The domain of function f(x) is given as follows:

{x | 1 ≤ x < 5}.

The values of x of the function given at the end of the answer are as follows:

Hence the domain is given as follows:

{x | 1 ≤ x < 5}.

The function is given by the image presented at the end of the answer.

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Answer:

A - {x | 1 < x < 5}

Step-by-step explanation:

took the Quiz

Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and  y = 8x - 16

From the question, we have the following parameters that can be used in our computation:

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

y = -1/8(x - 2) + 6

y = -1/8x + 25/4

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

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By using the concept of number line, it can be calculated that

a) g is a function

b) g(5) = 3 means after 5 flips, the person is at '3' on the number line

c) Probability that g(3) = 0 is zero

What is a number line?

All the real numbers, integers, fractions can be pictorially represented with the help of a line. The line is known as number line.

a) Here, g represents the position after the nth flip

After n flips, a person stands at only one position on the number line, not more than one. So every point on the domain has unique image. So g is a function.

b) g(5) = 3 means after 5 flips, the person is at '3' on the number line

c) The person is initially standing at zero. To move to zero position, even number of flips have to be made. But 3 is not an even number. So probability that g(3) = 0 is zero

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Step-by-step explanation:

3)

4(5)+3x=24.50

20+3x=24.50

-20        -20

3x=4.50

/3      /3

x=$1.50

5)

4x+2(8)=56

4x+16=56

   -16   -16

4x=40

/4    /4

x=10 tables

7)

1(12)+6x=33

12+6x=33

-12        -12

6x=21

/6    /6

x=$3.5

The answer for part (3) is $1.5 each fry, answer for part (5) is 10 four-person table, and answer for part (7) is $3.5 each order of ice cream.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

3)

Let x be the cost of each fry.

4×5 + 3x = 24.50

20 + 3x = 24.50

3x = 4.5

x = $1.5 each fry

5)

Let x be the number of tables for a four-person.

Couple means two persons.

56 - 2×8 = 4x

4x = 40

x = 10 four-person tables

7)

Let x be the cost of each order of ice cream:

12 + 6x = 33

x = $3.5 each order of ice cream.

Thus, the answer for part (3) is $1.5 each fry, answer for part (5) is 10 four-person table, and answer for part (7) is $3.5 each order of ice cream.

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Answer:

29/8 or 3 5/8

Step-by-step explanation:

It will take approximately 25 hours and 1 minute for there to be 150mg of aspirin left in the bloodstream.

We have,

To determine how long it will take for there to be 150mg of aspirin left in the bloodstream, we can use the concept of half-life.

The half-life of aspirin is given as 6 hours, which means that after every 6 hours, the amount of aspirin in the bloodstream reduces by half.

Let's calculate the number of half-lives required to reach 150mg:

Initial amount of aspirin = 625mg

Final amount of aspirin = 150mg

625mg / 150mg = 4.17

This means it will take approximately 4.17 half-lives for the amount of aspirin in the bloodstream to reduce from 625mg to 150mg.

Since each half-life is 6 hours, we can calculate the total time it will take:

Total time = Number of half-lives * Half-life duration

Total time = 4.17 x 6 hours

Total time ≈ 25 hours and 1 minute

Therefore,

It will take approximately 25 hours and 1 minute for there to be 150mg of aspirin left in the bloodstream.

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Answer:

5.44

Step-by-step explanation:

From Trigonometry Identity,

Sin65= CB/AB

CB = AB Sin65

= 6 × Sin65

= 5.4378

= 5.44{ to the nearest hundredth}

The slope which shows  the cost per guest is $35 per guest

The given cost for 50 guests is $2150.

The cost for 75 guests is $3025.

It can also be represented as:

(Guest, Cost) =(50, $2150) & (75, $3025)

The slope can now be calculated as

Slope = (y₂ - y₁)/(x₂ - x₁)

Where

(x, y) = (50, $2150) & (75, $3025)

Substituting the given values in the equation as follows:

Slope = (3025 - 2150)/(75 - 50)

Slope = 35

Hence, the slope is $35 per guest.

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Answer:

8,560

Step-by-step explanation:

8000 x .02 interest/year x 3.5years=560 interest earned

8000+560=8,560 investment worth after 3.5 years