Simplify the expression:
4 + 4f2 + 6f - 6f

Answer:

1/36

Step-by-step explanation:

There are 6 possible outcomes 1,2,3,4,5,6

P(1) = number of outcomes that equal1 / total

        =1/6

Roll again

P(1) = 1/6

These are independent events so we can multiply the probabilities

P(1 roll again 1) = 1/6 * 1/6 = 1/ 36

Answer:

SPEED ANSWER!!!!

There are several types of functions, but this question is limited to just 2 types, which are the exponential function and the linear function.

The given parameters can be represented as:

[tex]\begin{array}{cccc}{Years} & {1} & {2} & {3} & {House\ 1} & {186,160 } & {193,606.40 } & {201,350.66} & {House\ 2} & {190,000 } & {201,000 } & {212,000} \ \end{array}[/tex]

(a): The type of function

First, we check if the function is linear by calculating the difference between each year

House 1

[tex]d = 193606.40 - 186160 = 7446.4[/tex]

[tex]d = 201350.66 - 193606.40 = 7744.26[/tex]

The difference are not equal; hence, the function is not linear. So, we can assume that it is exponential

House 2

[tex]d = 201000 - 190000 =11000[/tex]

[tex]d = 212000 - 201000 =11000[/tex]

The difference are equal; hence, the function is linear.

(b): The function of each

House 1

An exponential function is represented as:

[tex]y = ab^x[/tex]

When [tex]x = 1;\ y =186,160[/tex]

We have:

[tex]186,160 =ab^1[/tex]

[tex]186,160 =ab[/tex] ---- (1)

When [tex]x = 2;\ y =193606.40[/tex]

We have:

[tex]193606.40 =ab^2[/tex] --- (2)

Divide (2) by 1

[tex]\frac{193606.40}{186160} =\frac{ab^2}{ab}[/tex]

[tex]1.04 = b[/tex]

[tex]b = 1.04[/tex]

Make a the subject in (1)

[tex]186,160 =ab[/tex]

[tex]a = \frac{186160}{b}[/tex]

[tex]a = \frac{186160}{1.04}[/tex]

[tex]a = 179000[/tex]

So, the function for house 1 is:

[tex]f(x) = 179000 * 1.04^x[/tex]

House 2

A linear function is represented as:

[tex]y = mx + b[/tex]

First, we calculate the slope (m)

[tex]m = \frac{y_2 -y_1}{x_2 - x_1}[/tex]

So, we have:

[tex]m = \frac{201000 - 190000}{2 - 1}[/tex]

[tex]m = \frac{11000}{1}[/tex]

[tex]m = 11000[/tex]

So, the equation is:

[tex]y =m(x-x_1) + y_1[/tex]

Substitute known values

[tex]y =11000(x-1) + 190000[/tex]

[tex]y =11000x-11000 + 190000[/tex]

[tex]y =11000x+179000[/tex]

So, the function for house 2 is:

[tex]f(x) =11000x+179000[/tex]

(c): House with the greatest value in 30 years

This means that:

[tex]x = 30[/tex]

For house 1, we have:

[tex]f(x) = 179000 * 1.04^x[/tex]

[tex]f(30) = 179000 * 1.04^{30}[/tex]

[tex]f(30) = 580568.15[/tex]

For house 2, we have:

[tex]f(x) =11000x+179000[/tex]

[tex]f(30) = 11000 * 30+ 179000[/tex]

[tex]f(30) = 509000[/tex]

By comparison;

[tex]580568.15> 509000[/tex]

House 1 will have a greater value in 30 years

And the difference between the values is significant

The difference is:

[tex]d =580568.15-509000[/tex]

[tex]d =71568.15[/tex]

Read more about functions at:

https://brainly.com/question/7296377

Answer:

A odd index can go to " - infinity "

Step-by-step explanation:

Answer:

$281.37

Step-by-step explanation:

249x0.13=32.37

249+32.37= 281.37

Answer:

Total cost of e-reader = 281.37

Step-by-step explanation:

= 249+249×13%

=249+32.37

=281.37

Answer:

{-7,-6,-5,-4}

Step-by-step explanation:

Answer:

thats not correct answer thats an odyssey question and i just tried the answer and its not right just wanted everybody to know

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

It wont let me upload anything so i will come back with steps later

Solution given:

1:

<5=<6

<5+<4=180°[co interior angle]

Substituting value of<5

<6+<4=180°[it shows a property of co interior angle]

So

l || m

2:

<1=90°[ l is perpendicular to t]

<2=90°[m is perpendicular to t]

since

<1=<2[shows property of corresponding angle]

:.

l || m.

3:

<1=<2

<1=<3

substituting value of<1 in second one

<2=<3[which shows property of alternate Angel]

So

Segment ST || segment UV.

4:

<RSP=<PQR......[I]

<QRS+<PQR=180°.....[ii]

from equation I and ii we get

<RSP+<QRS=180°[which shows property of co interior angle ]

So

Segment PS || segment QR

These pictures are the questions given in the pdf, let's get the solutions.

1) Solution

It is given that,

→ <5 = <6

Then the co interior angles,

→ <5 + <4 = 180°

Now substituting value of <5,

→ <6 + <4 = 180°

This shows property of co interior angle.

Therefore, L ll m

2) Solution

Take it as,

→ <1 = 90°

In above eq. L is perpendicular to t.

→ <2 = 90

In above eq. m is perpendicular to t.

Then it will be,

→ <1 = <2

It shows property of corresponding angle.

Therefore, L ll m.

3) Solution

It is given that,

→ <1 = <2 and <1 = <3

Now substitute,

The value of <1 in second one,

→ <2 = <3

This shows property of alternate angle.

Therefore, ST || UV.

4) Solution

It is given that,

→ <RSP = <PQR --- (1)

→ <QRS + <PQR = 180° --- (2)

Now from the equation (1) and (2),

→ <RSP + <QRS = 180

It shows property of co interior angle.

Therefore, PS || QR.

Answer:

From first Newton's equation of motion:

[tex]{ \bf{v = u + at}}[/tex]

Substitute the variables:

[tex]{ \tt{11 = 5 + (a \times 3)}} \\ { \tt{3a = 6}} \\ { \tt{a = 2 \: {ms}^{ - 2} }}[/tex]

Acceleration is 2 ms-²

Answer:

The probability that Chang gets dressed with a white shirt and tan pants is 25%.

Step-by-step explanation:

Given that Chang has 2 shirts, a white one and a black one, and he also has 2 pairs of pants, one blue and one tan, to determine what is the probability, if Chang gets dressed in the dark, that he winds up wearing the white shirt and tan pants the following calculation must be performed:

Each shirt = 50% chance

Each pants = 50% chance

0.50 x 0.50 = X

0.25 = X

Therefore, the probability that Chang gets dressed with a white shirt and tan pants is 25%.

Answer:

yes

yes

no

no

Step-by-step explanation:

4.

Additive inverses are the same number with different signs, one positive and one negative. they must add to zero. For example, -1 and 1 are additive inverses since they add to zero.

yes

yes

no

no

Answer:

y=-2x+7

Step-by-step explanation:

Try plotting the points on desmos. Then use the slope to find the y value.

Answer:

72cm

Step-by-step explanation:

We have 4/6 sides. 4 of them are given, and they are 13.25cm, 7.25cm, 7.75cm, and 22.75cm.

The perimeter is found when you add all the lengths of the sides of a figure.

So far, we can add 13.25+7.25+7.75+22.75 = 51cm.

Let's call the first ungiven side A. We can see that 7.75cm + A = 13.25cm. Using this, we can figure out that A = 13.25-7.75 = 5.5cm.

We can call the second ungiven side B. We see that 7.25cm + B = 22.75cm. So, B = 22.75-7.25 = 15.5cm.

Now, let's add everything together. 51cm + A + B = Perimeter. 51cm + 5.5cm + 15.5cm = 72cm.

Hope this helps! Feel free to ask any questions if this doesn't make sense. :)

Answer:

80

Step-by-step explanation:

I = Prt

I = 40  R = .10  T = 5

40 = P (.10)(5)

40 = P(.5)

Divide each side by .5

40/.5 = .5P/.5

80 = P

The interest over 5 years is $80.

The correct option is B.

Simple interest is the borrowing amount added only to the principal amount.

The Formula to calculate the simple interest is;

                                                 S.I. = P x T x R / 100,

Where S.I. is simple interest, P is the principal amount, T is the time period and R is the interest rate in a year.

We can use the formula I = Prt to solve for P. We know that I = 40, r = 0.10, and t = 5. Substituting these values, we get:

40 = P(0.10)(5)

Simplifying:

40 = 0.5P

Dividing both sides by 0.5:

P = 80

Therefore, the amount of money, P, that will generate $40 in interest at a 10% interest rate over 5 years is $80.

To learn more about the simple interest; https://brainly.com/question/25845758

#SPJ7

Answer:

0.9⁰

Step-by-step explanation:

let unknown angle be x

sin x=47/60

sin x=0.783333

x=sin(inverse) 0.7833333

x=0.9⁰

Answer:

9/20

Step-by-step explanation:

1. 3/8 / 5/6

2. 9/20

Answer:

[tex] \sf \: \frac{9}{20} [/tex]

Step-by-step explanation:

Given problem,

[tex] \sf \rightarrow \: \frac{ - 3 }{ \: 8} \div \frac{ - 5}{ \: 6} [/tex]

Let's solve the problem,

[tex] \sf \rightarrow \: \frac{ - 3}{ \: 8} \div \frac{ - 5}{ \: 6} [/tex]

[tex] \sf \rightarrow \: \frac{ - 3}{ \: 8} \times \frac{ - 6}{ \: 5} [/tex]

[tex] \sf \rightarrow \: \frac{( - 3 \times - 6)}{(8 \times 5)} [/tex]

[tex] \sf \rightarrow \: \frac{18}{40} = \frac{9}{20} [/tex]

Hence, the answer is 9/20.

Answer:

25 -(.3*25)

25-7.50 = $17.50

Step-by-step explanation:

Answer:

17.50

Step-by-step explanation:

First find the amount of the discount

25 * 30%

25 * .3

7.5

Subtract this from the original amount

25 - 7.5

17.50

Answer:

Basically if you know side-angle-anlge, you can determine the third angle by

3rd angle = 180 - angle 1 - angle2

In this way, you are using the Angle-Side-Angle method of congruence.

Step-by-step explanation:

Answer:

In this case SAA is a valid means for establishing triangle congruence. You can see in the following image. The triangles are the same, in other words congruent. How I figured it out was by making a random triangle (ABC) then finding the lengths and angles.  From there, I picked a random side (AB) and angles (A) and (B) after I transferred the information I had and put it into a new triangle. Using this formula to determine the third angle: 3rd angle (C = 45*) = 180* - angle A (45*) - angle B (90*). From there, I looked for where line (BC) and (CA) would connect. Leaving me with two congruent triangles.

Answer: 7.1 units

Step-by-step explanation:

Using Pythagorean theory, c^2 - a^2 = b^2

We know c= 10

We know a=7

We are looking for b

10^2 - 7^2 = b^2

51= b^2

Take square root of both sides

7.1=b

Answer:

Option D

Step-by-step explanation:

There are no real solution for the given equation

Answered by GAUTHMATH

Answer:

18 because we will multiply them all together

formula applied was lbh multiplied together. Mark me as the brainliest

Step-by-step explanation:

Answer:

Roses 2.70, Lillies 2.45, Carnations 1.60

Answer:

The probability is [tex]\frac{3}{4^7}[/tex].

Step-by-step explanation:

Total questions = 7

Number of choices of each question = 4

Probability to give the correct answer = 1/4

Probability to give the wrong answer = 3/4

Probability to give 1 answer wrong

[tex]\frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{3}{4}\\\\= \frac{3}{4^7}[/tex]

Answer:

x = -3,y = 2

Step-by-step explanation:

3x-2y = -13

4x-3y = -18

~~~~~~~~~~~~~~~~

9x -6y = -39

-8x+6y = 36

x = -3

-12 -3y = -18

-3y = -6

y = 2

Answer:

Step-by-step explanation:

To evaluate such, the following must be comprehended:

Slope: Rise/Run.

X-intercept: The peculiar point in which the observed linear data intersects the x-axis.

Y-intercept: The peculiar point in which the observed linear data intersects the y-axis.

To evaluate for the slope, which is defined as the agglomerate distance between two points contained within linear data, the following equation must be utilized:

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

Points utilized or given: (-1, 2) and (7, 2).

2 - 2 / 7 + 1 = 0/8 ==> 0

Henceforth, the slope for the particular configuration, as provided, is understood as zero (0).

Utilizing the integral of one of the points provided, as well as slope evaluated for, the following equation could be exploited:

Point-Slope Formula:

Y- y1 = m(x - x1)

Y - 2 = 0(x - 7)

Y - 2 = 0

Y = 2

Hence, the answer to the peculiar interrogate is disclosed as 2, which is identified as where the horizontal line intersects the y-axis at (0, 2).

*I hope this helps.

Answer:

y = -2x - 6

Step-by-step explanation:

Going from the first point to the second, we see x decreasing by 8 from 1 to -7 (this is the 'run') and y increasing by 16 from -8 to +8 (this is the 'rise').  Thus, the slope of the line through these two points is m = rise/run =  16/(-8) = -2.

Using the point-slope formula y - k = m(x - h) and the point (1, -8), we get:

y + 8 = -2(x - 1), or

y = -8 - 2x + 2, or

y = -2x - 6 (in slope-intercept form)

Answer:

0.858

Step-by-step explanation:

2 1/2 from oz to pound is 0.156 and then mutiply that by 5.50 is 0.858

Answer:

Step-by-step explanation:

[tex][(6^{2}+8^{2})^{\frac{1}{2}}]^{3} = [(36+64)^{\frac{1}{2}}]^{3}\\\\= [(100)^{\frac{1}{2}}]^{3}\\\\= 10^{3}\\\\= 1000[/tex]