What are the numerical measures of each angle
in the diagram?
<1and <3 measure
degrees
<2 and <4 measure
degrees.
(3x - 1)
1
3
2
(2x + 9)

Answer: a or c one of those

Step-by-step explanation:

Answer: all of the sides are 10ft long

Step-by-step explanation:

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:

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

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

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

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

PV = $121718.2714

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

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

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

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

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

[tex]0.60859 = (0.006458)^{nt}[/tex]

[tex]nt = \dfrac{0.60859}{0.006458}[/tex]

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:

  (d, left, right) ⇒ (d, di, -di)

Step-by-step explanation:

In the complex plane, successive left turns make this your sequence of facing directions: 1, i, -1, -i, 1. Effectively, your facing direction is multiplied by i.

Successive right turns make this your sequence of facing directions: 1, -i, -1, i, 1. Effectively, your facing direction is multiplied by -i.

Your table can be filled as follows:

  (initial d, left turn, right turn)

  (-1, -i, i)

  (1, i, -i)

  (i, -1, 1)

  (-i, 1, -1)

  (d, di, -di)

Answer:

The quotient of 7 and 14 is 2..

Answer:

169 sections

Step-by-step explanation:

A couple wants to install hardwood into their bedroom. The wood is bought in 0.5×5 square foot pieces

The area of the 0.5×5 square foot pieces

Area= 0.5*5.

Area= 2.5 square feet

They have 422 square feet of floor on which to install the hardwood.

Number of sections to be purchased

= 422/2.5

= 168.8 sections

Approximately= 169 sections

Answer:

(-9) still means -9 it doesn't really mean anything thou....but if u have another number besides it then it means to multiply like maybe 2(-9)then it will be -18...... but if it is just (-9) then it doesn't mean anything.....

Answer:

1 2/8

Step-by-step explanation:

3 1/8 = 25/8

25/8 - 15/8 = 10/8 = 1 2/8

The correct answer is A. 28 of the cats in the distribution are female

Explanation:

The table presented shows the number of female/male dogs and cats, as well as the total of animals in each category. Moreover, in this, the columns show the type of animal (dog or cat), while the rows show its gender (female/male). Also, these categories intersect to show the frequency. For example, number 32, which is the intersection of the categories Dog and Male shows there are 32 male dogs. In this context, if the number 28 joints the categories female and cat, this means 28 of the total animals are female cats and out of the total cats 28 are female. This makes option A the correct answer.

Answer: two-ways tables quiz

1. 38.0%

2. 54.4%

3. 28.5%

4. 21.3%

5. 71.5%

6. 21.8%

7. Twenty-eight of the cats in the distribution are female.

8. 74.4%

9. 49.4%

10. 62.0%

Step-by-step explanation:

You cannot divide any number by zero since it is meaningless to say that we are dividing a number or object in zero groups or in 0 size parts

Answer:

Judah's hourly wage is $7/hr.

Step-by-step explanation:

x = (86 + 12)/14

x = 98/14

x = 7

Answer:

$7 per hour

Step-by-step explanation:

$86+ 12( the money he spent on the birthday cake)=$98

$98 divided by 14=7

Answer:

3

Step-by-step explanation:

As per table, the mass is:

So the atom 3 has the highest mas of 132

Answer choice 3 is correct

Answer:

3

Step-by-step explanation:

Add protons and neutrons.

Answer:

35

Step-by-step explanation:

Even if you killed 30 people, 34 people remained in the room (30 dead and 4 alive).

You must add a person which is YOU.

Answer:

there are 35 people in the bedroom.

Step-by-step explanation:

Answer:

(x-1)²/64 + (y-2)²/ 144= 1

Step-by-step explanation:

Given that

The standard form for an ellipse is

(x-h)/a² + ( y-k)/b²=1

So

h, k

is the centre of the ellipse, and

a is the distance from the centre to the vertices and c is the distance from the centre to the foci.

b is the minor axis.

So b² + c²= a²

In this example

a= -7-1= -8

Answer:

  (1/10)∛100 ≈ 0.4642

Step-by-step explanation:

For a cube of volume V, the edge length is ...

  s = ∛V

and the area is ...

  A = 6s² = 6V^(2/3)

Then the ratio of area to volume is ...

  r1 = A/V = 6V^(2/3)/V = 6V^(-1/3)

If the value of V is increased by a factor of 10, the ratio of area to volume is now ...

  r2 = 6(10V)^(-1/3)

The factor by which the ratio changed is ...

  r2/r1 = (6(10V)^(-1/3))/(6V^(-1/3)) = 10^(-1/3) = (1/10)∛100

The surface area per unit volume changes by a factor of (∛100)/10.

___

Example

For a cube of side length 2, the volume is 2³ = 8 and the surface area is 6·2² = 24. The ratio of surface area to volume is 24/8 = 3.

Multiplying the edge length by ∛10, we now have a volume of (2∛10)³ = 80, and a surface area of 6(2∛10)² = 24(10^(2/3)). The ratio of surface area to volume is ... 24(10^(2/3))/80 = 0.3∛100.

The ratio of area to volume changed by a factor of (0.3∛100)/3 = (∛100)/10, as above.

Answer:  0.12

Step-by-step explanation:

There are 65 candy bars. Out of that;

2 candy bars have 300 to 350 calories

1 candy bar has 350 to 400 calories

4 candy bars have 400 to 450 calories

1 candy bar has 450 to 500 calories

The total proportion out of 65 candy bars that have over 300 calories is;

= ( 2 + 1 + 4 + 1) / 65

= 8/65

= 0.12

Answer:

The probability of HHH=1/8.

Sample space=(HHH,HHT,HTH,HTT,TTT,TTH,THT,THH).

Answer:

the SA is 40

Step-by-step explanation:

the formula for SA of a rectangular prism is 2(lw + lh + wh)

so it would be: 2(2x2+2x2+4x2)

can i get brainliest please? i only need two more

Answer:

Upstream speed= 6 mile per hour

Downstream speed= 9 miles per hour

Step-by-step explanation:

Distance traveled during upstream

= x miles

Distance traveled during downstream

= y

Time traveling upstream

= 45 minutes.

Time traveling downstream

= 30 minutes

Speed traveling upstream

= a miles/hour

Speed traveling downstream

= b miles/hour

But

b = a+3

Distance= speed*time

X=45a

a= x/45

Y= 30(a+3)

Y= 30a +90

a= (y-90)/30

Equating both a

X/45= (y-90)/30

30x= 45(y-90)

X= 1.5y-135

But x= y

Y= 1.5y-135

135= 0.5y

270 miles = y

Y= x= 270 miles

X= 45a

270/45= a

6 mile/hour = a

b = a+3

b= 6+3

b = 9 miles/hour

Answer:

In the long run, ou expect to  lose $4 per game

Step-by-step explanation:

Suppose we play the following game based on tosses of a fair coin. You pay me $10, and I agree to pay you $n^2 if heads comes up first on the nth toss.

Assuming X be the toss on which the first head appears.

then the geometric distribution of X is:

X [tex]\sim[/tex] geom(p = 1/2)

the probability function P can be computed as:

[tex]P (X = n) = p(1-p)^{n-1}[/tex]

where

n = 1,2,3 ...

If I agree to pay you $n^2 if heads comes up first on the nth toss.

this implies that , you need to be paid [tex]\sum \limits ^{n}_{i=1} n^2 P(X=n)[/tex]

[tex]\sum \limits ^{n}_{i=1} n^2 P(X=n) = E(X^2)[/tex]

[tex]\sum \limits ^{n}_{i=1} n^2 P(X=n) =Var (X) + [E(X)]^2[/tex]

[tex]\sum \limits ^{n}_{i=1} n^2 P(X=n) = \dfrac{1-p}{p^2}+(\dfrac{1}{p})^2[/tex]        ∵  X [tex]\sim[/tex] geom(p = 1/2)

[tex]\sum \limits ^{n}_{i=1} n^2 P(X=n) = \dfrac{1-p}{p^2}+\dfrac{1}{p^2}[/tex]

[tex]\sum \limits ^{n}_{i=1} n^2 P(X=n) = \dfrac{1-p+1}{p^2}[/tex]

[tex]\sum \limits ^{n}_{i=1} n^2 P(X=n) = \dfrac{2-p}{p^2}[/tex]

[tex]\sum \limits ^{n}_{i=1} n^2 P(X=n) = \dfrac{2-\dfrac{1}{2}}{(\dfrac{1}{2})^2}[/tex]

[tex]\sum \limits ^{n}_{i=1} n^2 P(X=n) =\dfrac{ \dfrac{4-1}{2} }{{\dfrac{1}{4}}}[/tex]

[tex]\sum \limits ^{n}_{i=1} n^2 P(X=n) =\dfrac{ \dfrac{3}{2} }{{\dfrac{1}{4}}}[/tex]

[tex]\sum \limits ^{n}_{i=1} n^2 P(X=n) =\dfrac{ 1.5}{{0.25}}[/tex]

[tex]\sum \limits ^{n}_{i=1} n^2 P(X=n) =6[/tex]

Given that during the game play, You pay me $10 , the calculated expected loss = $10 - $6

= $4

∴

In the long run, you expect to  lose $4 per game

Answer:

$7,563

Step-by-step explanation:

We will round to the nearest whole number to round to the nearest dollar

$7,563.27

since we have 27 cents ( .27), that is less than 50 cents, we leave it alone

$7,563.00 or $7,563

Answer:

$7,563

Step-by-step explanation:

Rounding to the nearest dollar is just like rounding to the nearest whole number.

The number we are given is:

$7,563.27

To round to the nearest dollar, look to the tenths place. If it is less than or equal to 4, round down. If it is greater than or equal to 5, round up.

The tenths place has a 2. Therefore, we leave the number as is.

$7, 563

$7,563 rounded to the nearest dollar is $7,563.00

Answer:

n + 3

Step-by-step explanation:

6 is 3 + 3, 11 is 8 + 3 and 12 is 9 + 3 so the output seems to be the input plus 3. Therefore, when the input is n, the output is n + 3.

Answer:

  output = n+3

Step-by-step explanation:

When the input changes by 5 units (from 3 to 8), the output changes by 5 unis (from 6 to 11). So the rate of change of the output with respect to the input is 1. However, each output is 3 more than the input, so ...

for input n

output = n+3

Answer: opposite

Step-by-step explanation:

Answer:

opposite

Step-by-step explanation:

the opposite of -4 is 4.

the absolute value of -4 is 4.

the reciprocal of -4 is -1/4.