Find the y-intercept of the line on the graph.
Enter the correct answer.

Answer:

V= -25

Step-by-step explanation:

5 = V+30

-30          - 30

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

-25 = V

so, you have to figure out 5-30 which gets you -25 and you want to get the variable by itself so you do -30 and do the inverse operation and what you do to one side has to be done to the other so when you do +30-30 it gets you nothing so those cancel

Hope this helped u sorry if incorrect and welcome to Brainly

Answer:

A or d to narrow it down

Step-by-step explanation:

Hopefully you can figure out which one I am sorry.

Triangle ADC also has a right angle at D, making it a right-angled triangle.

The exact value of x be 2.25.

The hypotenuse's square is equal to the sum of its two other side squares of a right-angled triangle, according to the Pythagoras theorem.

Triangle ADB exists even a right-angled triangle with right-angle at D.

Therefore, Base of Triangle ADB = BD = 4,

Height of Triangle ADB = AD = 3,

Hypotenuse of Triangle ADB = AB

Using the Pythagoras Theorem, we get,

\($\left[(A D)^2+(B D)^2\right]=(A B)^2$\)

substitute the values in the above equation, we get

or,\($(A B)^2=\left[(3)^2+(4)^2\right]$\)

simplifying the equation, we get

or, \($(A B)^2=[9+16]$\)

or, \($(A B)^2=25$\)

or, \($\sqrt{(A B)^2}=\sqrt{25}$\)

or, AB = 25

Triangle ADC is also a right-angled triangle with right-angle at D.

Therefore, Base of Triangle ADC = DC = x

Height of Triangle ADC = AD = 3,

And, Hypotenuse of Triangle ADC = AC

Using the Pythagoras Theorem, we get,

\(& {\left[(D C)^2+(A D)^2\right]=(A C)^2} \\\)

simplifying the equation, we get

\(& \text { or },(A C)^2=\left[(3)^2+(x)^2\right] \\\)

\(& \text { or },(A C)^2=\left[9+x^2\right]\)

Triangle ABC is also a right-angled triangle with right-angle at A. Therefore, Base of Triangle ABC = AC,

Height of Triangle ABC = AB = 5,

And, Hypotenuse of Triangle ABC =  BC = (4 + x)

Using the Pythagoras Theorem, we get,

\(& {\left[(A C)^2+(A B)^2\right]=(B C)^2} \\\)

\(& \text { or, }(B C)^2=\left[(A C)^2+(A B)^2\right] \\\)

substitute the values in the above equation, we get

\(& \text { or, }(4+x)^2=\left[\left(9+x^2\right)+(5)^2\right] \\\)

simplifying the equation, we get

\(& \text { or, }\left[4^2+(2 \times 4 \times x)+x^2\right]=\left[9+x^2+25\right] \\\)

\(& \text { or, }\left[16+8 x+x^2\right]=\left[(9+25)+x^2\right] \\\)

\(& \text { or, }\left[16+8 x+x^2\right]=\left[34+x^2\right] \\\)

\(& \text { or, }\left[16+8 x+x^2\right]-\left[34+x^2\right]=0 \\\)

\(& \text { or, },(16-34)+8 x+\left(x^2-x^2\right)=0 \\\)

8x - 18 = 0

8x = 18

\(& \text { or, } x=\frac{18}{8} \\\)

\(& \text { or, } x=\frac{9 \times 2}{4 \times 2} \\\)

\(& \text { or, } x=\frac{9}{4} \\\)

Therefore, the value of x be 2.25.

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The design that involves repeated measurement of a variable before and after some event will be matched group factorial design. Hence, option C is correct.

In this kind of experimental design, the research's participants are divided into groups, and key factors are matched to each group. The variables that are used to match the respondents must have an impact on the original study conclusion (the dependent variable).

The benefit of using matched group factorial design is,

Fewer people are needed for this kind of investigation, which could also produce more accurate results and results that are based on more information.

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The tοtal payment οver the term οf the lοan, 44% is paid tοward the principal and 56% is paid tοward the interest.

Tο sοlve this prοblem, we need tο use the fοrmula fοr a fixed-rate mοrtgage payment:

\(P = (Pv \times r) / (1 - (1 + r)^{(-n))\)

Where:

Pv = present value οf the mοrtgage (in this case, $200,000)

r = mοnthly interest rate (APR divided by 12)

n = tοtal number οf payments (20 years × 12 mοnths per year = 240)

First, we need tο find the mοnthly interest rate:

r = 9% / 12 = 0.0075

Next, we can plug in the values and simplify the fοrmula:

\(P = (200,000\times 0.0075) / (1 - (1 + 0.0075)^{(-240))\)

P ≈ $1,734.84

Therefοre, the mοnthly payment οn the mοrtgage is apprοximately $1,734.84.

Tο determine the percentage οf the payment that gοes tοward principal and interest, we need tο lοοk at the amοrtizatiοn schedule fοr the mοrtgage. This will shοw hοw much οf each payment gοes tοward principal and interest οver time.

Using an οnline amοrtizatiοn calculatοr, we can see that οver the 20-year term οf the mοrtgage, apprοximately 44% οf the tοtal payments gο tοward principal and 56% gο tοward interest.

Therefοre, οf the tοtal payment οver the term οf the lοan, 44% is paid tοward the principal and 56% is paid tοward the interest.

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Four coins are tossed. For each toss, the outcome belongs to one of the following:

{Head,Tail}

We want to count the total number of heads obtained from those 4 tosses.

Z is the random variable representing the number of heads that occur. We want to find the all possible values of Z.

Observe that, any one of the following cases may happen:

1. All the four outcomes are 'Tail'. So number of heads is 0. Hence, Z=0 in this case.

2. Any 3 of the 4 outcomes are 'Tail' and the remaining one is a 'Head' Hence, Z=1 in this case.

3. Any 2 of the 4 outcomes are 'Tail' and the remaining two are 'Head' Hence, Z=2 in this case.

4. Any 1 of the 4 outcomes is 'Tail' and the remaining three are 'Head' Hence, Z=3 in this case.

5. All the four outcomes are 'Head'. So number of heads is 4. Hence, Z=4 in this case.

Note that, the 5 cases listed above explores all possible outcomes.

Hence, the random variable Z takes any one value from {0,1,2,3,4}.

Answer:

Step-by-step explanation:

From the given information:

The present value of the house = 128000

interest rate compounded monthly r = 7.8% = 0.078

number of months in a year n= 12

duration of time t = 30 years

To find their regular monthly payment, we have:

\(PV = P \begin {bmatrix} \dfrac{1 - (1 + \dfrac{r}{n})^{-nt}}{\dfrac{r}{n}} \end {bmatrix}\)

\(128000 = P \begin {bmatrix} \dfrac{1 - (1 + \dfrac{0.078}{12})^{- 12*30}}{\dfrac{0.078}{12}} \end {bmatrix}\)

128000 = 138.914 P

P = 128000/138.914

P = $921.433

∴ Their regular monthly payment P = $921.433

To find the unpaid balance when they begin paying the $1400.

when they begin the payment ,

t = 30 year - 5years

t= 25 years

\(PV= 921.433 \begin {bmatrix} \dfrac{1 - (1 - \dfrac{0.078}{12})^{25*30}}{\dfrac{0.078}{12}} \end {bmatrix}\)

PV = $121718.2714

C) In order to estimate how many payments of $1400  it will take to pay off the loan, we have:

\(121718.2714 = \begin {bmatrix} \dfrac{1300 (1 - \dfrac{12.078}{12}))^{-nt}}{\dfrac{0.078}{12}} \end {bmatrix}\)

\(121718.2714 = 200000 \begin {bmatrix} (1 - \dfrac{12.078}{12}))^{-nt} \end {bmatrix}\)

\(\dfrac{121718.2714}{200000 } = \begin {bmatrix} (1 - \dfrac{12.078}{12}))^{-nt} \end {bmatrix}\)

\(0.60859 = \begin {bmatrix} (1 - \dfrac{12}{12.078}))^{nt} \end {bmatrix}\)

\(0.60859 = (0.006458)^{nt}\)

\(nt = \dfrac{0.60859}{0.006458}\)

nt = 94.238 payments is required to pay off the loan.

How much interest will they save by paying the loan using the number of payments from part (c)?

The total amount of interest payed on $921.433 = 921.433 × 30(12) years

= 331715.88

The total amount paid using 921.433 and 1300 = (921.433 × 60 )+( 1300 + 94.238)

= 177795.38

The amount of interest saved = 331715.88  - 177795.38

The amount of interest saved = $153920.5

Answer:

okay now I really think that doing or solving any question like this will start first by solving out Earth I mean x okay by solving it out and after solving it and I'm really sorry cuz I'm using a voice note that's why I'm having all this misinterpretation so when you sort out x you begin to sort out all the questions nowhere for them to settle number the certain number will be x know where the four times a number will be no where the 903 will be and I really think that is it

Answer:

the correct answer is C

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

Answer:

The III

Step-by-step explanation:

go right three times and down four times

Answer:

x^(y^3-1) / -2xy

Step-by-step explanation:

4x^y^3 = 4x^(y^3)

-8x^2y = -8x^2y^1

= 4x^(y^3) / -8x^2y^1

= (4x^(y^3) / 4xy) / (-8x^2y^1 / 4xy)

= x^(y^3-1) / -2xy

Answer:

Step-by-step explanation:

The sample should be taken to provide a 95% confidence interval is 200.

A confidence interval is made up of the mean of your estimate plus and minus the estimate's range. This is the range of values you expect your estimate to fall within if you repeat the test, within a given level of confidence.

Confidence is another name for probability in statistics.

Given the planning value for the population proportion,

probability, p = 0.25

q  = 1 - p = 1 - 0.25

q = 0.75

margin of error = E = 0.06

value of z at 95% confidence interval is 1.96,

the formula for a sample is,

n = (z/E)²pq

n = (1.96/0.06)²*0.25*0.75

n = 200.08

n = 200 approx

Hence sample size is 200.

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Answer:Given cot A = 3 over 7 and that angle A is in Quadrant I, find the exact value of cos A in simplest radical form using a rational denominator ... √58=c. cos = 3/√58 To rationalize, multiply the numerator and denominator by √58 ... how do i go about solving a trig identity; that simplify s 1-sin^2 theta/1-cos theta.

Step-by-step explanation:

The value of sin A is \(\frac{2\sqrt{29} }{29}\).

The sine of an angle is the trigonometric ratio of the opposite side to the hypotenuse of a right triangle containing that angle.

The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side.

According to the given question.

We have \(cotA = \frac{5}{2}\)

⇒\(tanA = \frac{2}{5}\)

From the definition of tangent of an angle.

In  right angled triangle PQR, we can say that

PR = 2 and  RQ = 5

Therefore,

\(x^{2} = (PR)^{2} +(RQ)^{2}\)

⇒\(x^{2} =(2)^{2} +(5)^{2}\)

⇒\(x^{2} = 4 + 25\)

⇒\(x^{2} = 29\)

⇒\(x = \sqrt{29}\)

Since,

Sine of an angle = opposite side/ Hypotenuse

In triangle PQR

The opposite side w.r.t angle A is PR.

And the hypotenuse is PQ.

Therefore, sine of an angle A is given by

\(sinA= \frac{2}{\sqrt{29} }\)

⇒\(sinA = \frac{2}{\sqrt{29} } \frac{\sqrt{29} }{\sqrt{29} }\)

⇒\(sinA = \frac{2\sqrt{29} }{29}\)

Hence, the value of sin A is \(\frac{2\sqrt{29} }{29}\).

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Conniving these points and connecting them, we get a V- shaped graph that's reflected vertically and shifted 4 units to the left wing.

       To graph the function g( x) = - f( x 4), we need to start with the graph of the function f( x) = | x| and  also apply the given  metamorphoses.  The function f( x) = | x| represents the absolute value function, which is a V- shaped graph symmetric with respect to the y- axis.  

First, we shift the graph of f( x) = | x| horizontally by 4 units to the left by replacing x with( x 4). This results in f( x 4).  Next, we multiply the entire function by-1, which reflects the graph vertically. This gives us- f( x 4).  Combining these  metamorphoses, we've the function g( x) = - f( x 4). To graph g( x), we can  compass a many points and  also draw the graph by connecting them.

Let's start with the original graph of f( x) = | x| and apply the  metamorphoses

For f( x)  x = -3,-2,-1, 0, 1, 2, 3  

f( x) =  3, 2, 1, 0, 1, 2, 3  For

g( x) = - f( x 4)  x = -7,-6,-5,-4,-3,-2,-1  

g( x) = -3,-2,-1, 0,-1,-2,-3

conniving these points and connecting them, we get a V- shaped graph that's reflected vertically and shifted 4 units to the left wing.

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Answer:

Around 96.77%

Step-by-step explanation: Take 100 divided by 31 and then multiply the product of that by 30.

Answer: 36, 49, and 64

36 is a perfect square of 6. 49 is a perfect square of 7. 64 is a perfect square of 8.

:)

Answer:

1.25

Step-by-step explanation:

1.5 divided by 1.2 is 1.25

Hope this helps☺️

Answer:

1.25

Step-by-step explanation:

1.5 / 1.2 = 15/12 = 5/4 = 1 1/4 = 1.25

The zeros and the multiplicities are

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

f(x) = (x + 6)³(x - 11)²(x - 6)(x + 5)³

The power of each factor are the multiplicities

So, we have

Zero(s) of multiplicity one:

x - 6 = 0

Zero(s) of multiplicity two:

x - 11 = 0

Zero(s) of multiplicity three:

x + 6 = 0 and x + 5 = 0

When evaluated, we have

Zero(s) of multiplicity one:

x = 6

Zero(s) of multiplicity two:

x = 11

Zero(s) of multiplicity three:

x = -6 and x = -5

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Answer:

The inverse is,

\(f^{-1}(x) = \sqrt[5]{x} - 3\)

Step-by-step explanation:

f(x) = (x+3)^5

Finding the inverse,

\(f(x) = (x+3)^5\\or,\\y = (x+3)^5\)

We replace x with y and vice versa

so,

\(x = (y+3)^5\)

Solving for y,

the the 5th root,

\(\sqrt[5]{x} = y + 3\\y = \sqrt[5]{x} - 3\)

hence the inverse function is,

\(f^{-1}(x) = \sqrt[5]{x} - 3\)

Step-by-step explanation:

f(x)=(x+3)×5

Y=5X+15

now

interxchanging x and y we get,

x=5y+15

5y=x-15

y=x-15/5

therefor f~1(x)=x-15/5

Answer:

Part A: two possible transformations can be shifting to the left by 6 units, and the other one can be shifting up by 18 units 

Part B: g(x)= f(x - k) ,  g(x)= f(x) + k

Part C: y= 3(x-(-6)) - 1 ,  y= 3x -1 +18

Step-by-step explanation:

Part A: two possible transformations can be shifting to the left by 6 units, and the other one can be shifting up by 18 units  

Part B: g(x)= f(x - k) ,  g(x)= f(x) + k

Part C: y= 3(x-(-6)) - 1 ,  y= 3x -1 +18

Step-by-step explanation:

Answer:

True

For the cube root function f(x)=3√x f ( x ) = x 3 , the domain and range include all real numbers. Note that there is no problem taking a cube root, or any odd-integer root, of a negative number, and the resulting output is negative (it is an odd function).

Hope that helps!

Step-by-step explanation:

Given a discount of 20% and a manufacturer's coupon of $200, the price after the discount and coupon, (C ∘ D)(x), is 0.8x - 200.

A discount is an amount that reduces the price of a retail item.

Discounts are offered as rates and the discounted price is computed by multiplying the discount factor and the price.

Discount rate on offer = 20%

Discounting factor = 80% or 0.8 (100 - 20%)

Manufacturer's coupon off the price = $200

Let the price of the bureau = x

The price after the discount (discounted price) is given by D(x)

D(x) = 0.8x

The price after the coupon = C(x) = x - 200

The price after applying the discount and the coupon, (C ∘ D)(x) = 0.8x - 200

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Wilson's Warehouse sells a certain brand's bureau. They are offering a 20% discount in addition to accepting a manufacturer's coupon for $200 off. Let the price of the bureau be x. If the price after the discount is given by D(x) and the price after the coupon is C(x), find (C ∘ D)(x).

Answer:

  B.  {(0,2), (1,3), (4,3), (1,2)}

Step-by-step explanation:

A relation is not a function if the same input value maps to multiple output values. Essentially, if any x is repeated, it is not a function.

The second set, {(0,2), (1,3), (4,3), (1,2)}, has x-values of 0, 1, 4, 1, so 1 is repeated. It is not a function.

Answer:

Continous distributions:

- A probability distribution showing the average number of days mothers spent in the hospital.

- A probability distribution showing the weights of newborns.

Step-by-step explanation:

A probability distribution showing the number of vaccines given to babies during their first year of life will have a discrete distribution as only a natural number can represent the number of vaccines (0, 1, 2 vaccines and so on).

A probability distribution showing the average number of days mothers spent in the hospital can be described as continous because we are averaging days and this average can be fractional, so it is not discrete.

A probability distribution showing the weights of newborns is continous, as the weights are a continous variable (physical measurement), not discrete.

A probability distribution showing the amount of births in a hospital in a month is a discrete distribution, as the number of births can only be represented by natural numbers.

The option that describes a continuous distribution include:

A continuous distribution simply means the probabilities of the values of a continuous random variable.

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The angle measures for this problem are given as follows:

The sum of the measures of the internal angles of a triangle is of 180º.

The triangle in this problem is ABC, hence the measure of a is obtained as follows:

a + 68 + 50 = 180

a = 180 - (68 + 50)

a = 62º.

c and d are corresponding angles to angle a, as they are on the same position relative to parallel lines, hence their measures are given as follows:

Angle b is a corresponding interior angle with angle a, hence they are supplementary and it's measure is given as follows:

a + b = 180

62 + b = 180

b = 118º.

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The line that passes through these two points is y=x-2

Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.

Given here function whose graph contains the points (9, 7) and (4, −8)

Thus using the two point formula for a line we get the equation as              y-7=(x-9)

y=x-2

Hence, The line that passes through these two points is y=x-2

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Answer:

\(21.7 x 10^5\)

Step-by-step explanation:

(6.2 x 10²) x (3.5 x 10³)

First, multiply the coefficients: 6.2 x 3.5 = 21.7.

Then, add the exponents: 10² x 10³ = 10^(2+3) = 10^5.

Therefore, the result is 21.7 x 10^5.

Answer:

3286000

Step-by-step explanation: