If the point (7, 3) is on the graph of an equation, which statement must be true?
A. There are solutions to the equation for the values X= 7 and x= 3.
B. The values x= 3 and y= 7 make the equation true.
C. The values x= 7 and y= 3 are the only values that make the equation true.
D. The values x= 7 and y= 3 make the equation true.​

Answer:

84 cm²

Step-by-step explanation:

Surface area of the polyhedron = the sum of the areas of each parts of the net = area of 2 triangles + area of each of the 3 rectangles

Area of 2 triangles:

Base = 4 cm

Height = 3 cm

Area of the 2 triangles = 2(½*base*height)

= 2(½*4*3) = 4*3 = 12 cm²

Area of rectangle with the following dimensions:

Length = 6 cm

Width = 4 cm

Area = length * width = 24 cm²

Area of rectangle with the following dimensions:

Length = 6 cm

Width = 5 cm

Area = length * width = 30 cm²

Area of rectangle with the following dimensions:

Length = 6 cm

Width = 3 cm

Area = length * width = 18 cm²

Surface area of the polyhedron = 12 + 24 + 30 + 18 = 84 cm²

Answer:

D. x=y+2z

Step-by-step explanation:

if you expand out the first equation (x) you will get: a^2+b^2+c^2+2ab+2bc+2ac

then looking at all of the choices, it can be seen that the third equation (z) needs to be multiplied by to get 2ab+2bc+2ac and then added to the second equation (y) which would result in D being the correct answer.

D. x=y+2z

Answer:

A.

Step-by-step explanation:

I believe the answer is A. (Line JK and line LM will be parallel) because lines EF and GH are parallel. Therefore if the are just reflected, the new set of lines will also be parallel.

EF: (-9,1) (-4,9)

\(\frac{1-9}{-9+4}\) = \(\frac{-8}{-5}\) = \(\frac{8}{5}\) or 1.6

GH: (-5,-2) (0,6)

\(\frac{-2 - 6}{-5-0}\) = \(\frac{-8}{-5}\) = \(\frac{8}{5}\) or 1.6

Same slope and different y-intercept means the lines a parallel

a. The probability that a yellow disk will be selected is 1 out of 5.

b. It is **likely** that a yellow disk will be randomly selected from the bag.

a. The probability that a yellow disk will be selected can be calculated by;

P = 5 / 25

P = 1/5

The probability of randomly selecting a yellow disk is calculated by dividing the number of yellow disks by the total number of disks. In this case, there are 5 yellow disks and 25 total disks, so the probability is 5/25 = 1/5. This means that there is a 20% chance of randomly selecting a yellow disk.

b. The likelihood of randomly selecting a yellow disk is described as "likely" because the probability is greater than 1/10. A probability of 1/10 or less is considered "unlikely", while a probability of greater than 1/10 is considered "likely".

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Is this how we solve it?

8 6/12 by - 6 4/5 = A

Hope this helps

i think that's how  we are supposed to do the problem can someone do a walk through for me with variables so i can find it on my own i just need help. I was trying to find a tutor cause I'm confused. But is that how were supposed to do it cause tutor.com isn't working.

Most likely we have to simplify and then subtract it? I hope that's how you solve it!

nvm i think i got it

Answer:

1.9x+2(1.5)>30

Step-by-step explanation:

1.9(15)+2(1.5)

28.5+3

31.5 dollars

therefore the equation is grater than 30 dollars

You have to determine the distance of the diagonals of the polygons.

Asuming each square of the grid corresponds to one unit, to determine said distances you have to count the squares.

For the second polygon the diagonals are HF= 6 and GE= 9

For the third polygon the diagonals are LJ=2 and KI= 3

Jace bought 4 cookies and 2 brownies from the bakery.

Let x represent the number of cookies and y represent the number of brownies.

Since he bought $9 worth of cookies and brownies. Each cookie costs $0.75 and each brownie costs $3. hence:

0.75x + 3y = 9      (1)

Also, he bought twice as many cookies as brownies, hence:

x = 2y

x - 2y = 0     (2)

Solving equation 1 and 2 simultaneously gives x = 4, y = 2

Hence Jace bought 4 cookies and 2 brownies from the bakery.

The equation in point - slope form for line will be y + 5x = -23 .

A line is given which passes through point (-3 , -8 ) and has a slope m = -5 .

We have to find out an equation in point slope form for the line.

What is the point slope form of a line ?

The point slope form of line is ( y - \(y_{1}\) ) = m ( x - \(x_{1}\) ).

As per the question ,

slope (m) = - 5

and line is passing through ( \(x_{1}\) , \(y_{1}\) ) = ( -3 , -8 )

∴

( y - \(y_{1}\) ) = m ( x - \(x_{1}\) )

y + 8 = -5 ( x + 3 )

y + 8 = -5x - 15

y + 5x = - 23

Thus , the equation in point - slope form for line will be y + 5x = -23.

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−  14x/ 3  i think this would be the answer

​  

Answer:

0 hundreds

0 tens

7 ones

.

4 tenths

0 hundredths

8 thousandths

Standard form=7.408

Step-by-step explanation:

Lets first solve (7x1)+(4x1/10)+(8x1/1000)

7+0.4+0.008

Simplify:

7.408

The probability that all six share attacks are non fatal will be 0.02768.

The probability that an attack is non fatal is 55%. Therefore, the probability that all six share attacks are non fatal will be:

= 55%^6

= 0.55^6

= 0.02768

The probability that two or more are fatal will be:

= 0.3025 + 0.166 + 0.0915 + 0.050 + 0.02768

= 0.63768

The expected number of non fatal shark attacks will be:

= 3/6 = 0.5

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Answer:42

Step-by-step explanation: 42x0=42

Answer:

i think its c

Step-by-step explanation:

sorry if im worng

Answer i believe its a or d

Step-by-step explanation:

im not to sure but i did try to do the math on it so.

Answer:

Hello your question is incomplete below is the missing value

determine the probability that the number who have a high school degree as their highest educational level is exactly 32

answer : P( x = 32 ) = 0.08

Step-by-step explanation:

Given ;

n = 100 , p = 0.304

np = 100 * 0.304 = 30.4

n( 1 - p ) = 100 ( 1 - 0.304 ) = 69.6

applying normal approximation to the Binomial to determine mean value and standard deviation ( because:  np and n(1-p)  > 5 )

mean = np = 30.4

std = \(\sqrt{np(1-p)}\) = \(\sqrt{30.4(69.6)}\) = 4.6

Determine the probability of exactly 32

P( X = 32 ) = P( 31.5 < X < 32.5 )

                 = P( (31.5 - 30.4) / 4.6  < X  < (32.5 - 30.4) / 4.6 )

                 = P ( 0.24 < Z < 0.46 )

                 = p( Z < 0.46 ) - p( Z< 0.24 )   ( using standard tables )

                 = 0.6772 - 0.5948 = 0.0824  ≈ 0.08

The expression using only positive exponents is 1/(5¹² * 32³ * 9¹⁵)

Given that

5-12 * 32-3 * 9-15

Express properly

So, we have

5⁻¹² * 32⁻³ * 9⁻¹⁵

By using the definition of negative exponents, we have

1/5¹² * 1/32³ * 1/9¹⁵

By using the rules of exponents to simplify, we have

1/(5¹² * 32³ * 9¹⁵)

So, the solution is 1/(5¹² * 32³ * 9¹⁵)

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Answer:

AB= 7.45

Anwer C)

Step-by-step explanation:

Cos (angle) = Nearest side / Huypothenuse

Cos(20)      = 7 / AB

Cos(20) * AB = (7 /AB) * AB

Cos (20) * AB = 7

(Cos(20) *AB) / Cos(20) = 7 / Cos(20)

AB = 7 / cos(20)

AB=    7.45

Answer:

I think it is 103. If I was wrong I am sorry (´。＿。｀)

Step-by-step explanation:

The probability that the contestant wins at least one car is 3/5.

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

For 1 car, we consider two possible outcomes:

P(1 car) = 2/6 x 4/5 + 4/6 x 2/5

P(1 car) = 8/15

For no car in either door

P(no car) = 4/6 x 3/5

P(no car) = 2/5

The probability that the contestant wins at least one car is the sum of the probability of one car and the probability of two cars:

P(2 cars) = 2/6 x 1/5

= 1/15

P(1 car) + P(2 cars) = 8/15 + 1/15

= 3/5

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Answer:

5

Step-by-step explanation:

-9 + x = -4

( move +x to right and -4 to left)

-9 +4= -x

[sign changes when number is moved]

-5= -x

[negative signs cancel out each other/ divide both sides by negative sign]

x = 5

Answer:

x = 0.85476

Step-by-step explanation:

4ˣ/9ˣ=½

9ˣ / 4ˣ = 2

(9/4)ˣ = 2

2.25ˣ = 2 .... aⁿ = x     logₐx = n

log₂.₂₅2 = x

x = 0.85476

The measure of angle QOB is 90° and the measure of angle COZ is 150°

Angles on a straight line relate to the sum of angles that can be arranged together so that they form a straight line.

The sum of angles on a straight line is 180°

since angle LOB = 150° and line OB is perpendicular to line OQ

Therefore the angle between perpendicular lines is 90°. This means that angle QOB = 90°

Since LOB = 150°,

LOQ = 150-90 = 60°

Since OC is the bisector of angle LOQ,

COQ = 60/2 = 30°

Therefore angle COZ = 30+ 90+30

= 150°

the measure of angle COZ is 150°

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Answer: The measure of angle QOB is 90° and the measure of angle COZ is 150°

Step-by-step explanation:

There are 14 dogs and 46 chickens in the farmyard.

The supposition that there are d dogs and c chickens.

Each chicken has two legs, but each dog has four.

Consequently, the total number of legs may be written as follows:

4d + 2c

Since we are aware that there are 148 legs in total, we can construct the following equation:

4d + 2c = 148

We may create another equation since we know that there are a total of 60 heads (dogs and chickens):

d + c = 60

Now that we have two equations with two variables, we may answer them both at the same time.

2d + 2c = 120 is the result of multiplying the second equation by two.

When we deduct this from the first equation, we obtain 2d = 28.

So, d = 14.

Reintroducing this into the second equation, we get:

14 + c = 60

So, c = 46.

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Answer:

1)  The functions are not inverses.

\(\textsf{2)} \quad g^{-1}(n)=&\dfrac{3}{8}n-\dfrac{7}{8}\)

\(\textsf{3)} \quad g^{-1}(x)&=\sqrt[3]{\dfrac{1}{2}-\dfrac{1}{2}x}\)

Step-by-step explanation:

The inverse composition rule states that if two functions are inverses of each other, then their compositions result in the identity function.

Given functions:

\(g(x) = 4 + \dfrac{7}{2}x \qquad \qquad f(x) = 5 - \dfrac{4}{5}x\)

Find g(f(x)) and f(g(x)):

\(\begin{aligned} g(f(x))&=4+\dfrac{7}{2}f(x)\\\\&=4+\dfrac{7}{2}\left(5 - \dfrac{4}{5}x\right)\\\\&=4+\dfrac{35}{2}-\dfrac{14}{5}x\\\\&=\dfrac{43}{2}-\dfrac{14}{5}x\\\\\end{aligned}\)                 \(\begin{aligned} f(g(x))&=5 - \dfrac{4}{5}g(x)\\\\&=5 - \dfrac{4}{5}\left(4 + \dfrac{7}{2}x \right)\\\\&=5-\dfrac{16}{5}-\dfrac{14}{5}x\\\\&=\dfrac{9}{5}-\dfrac{14}{5}x\end{aligned}\)

As g(f(x)) or f(g(x)) is not equal to x, then f and g cannot be inverses.

\(\hrulefill\)

To find the inverse of a function, swap the dependent and independent variables, and solve for the new dependent variable.

Calculate the inverse of g(n):

\(\begin{aligned}y &= \dfrac{8}{3}n + \dfrac{7}{3}\\\\n &= \dfrac{8}{3}y + \dfrac{7}{3}\\\\3n &= 8y + 7\\\\3n-7 &= 8y\\\\y&=\dfrac{3}{8}n-\dfrac{7}{8}\\\\g^{-1}(n)&=\dfrac{3}{8}n-\dfrac{7}{8}\end{aligned}\)

Calculate the inverse of g(x):

\(\begin{aligned}y &= 1-2x^3\\\\x &= 1-2y^3\\\\x -1&=-2y^3\\\\2y^3&=1-x\\\\y^3&=\dfrac{1}{2}-\dfrac{1}{2}x\\\\y&=\sqrt[3]{\dfrac{1}{2}-\dfrac{1}{2}x}\\\\g^{-1}(x)&=\sqrt[3]{\dfrac{1}{2}-\dfrac{1}{2}x}\\\\\end{aligned}\)

Answer:

1.

If the composition of two functions is the identity function, then the two functions are inverses. In other words, if f(g(x)) = x and g(f(x)) = x, then f and g are inverses.

For\(\bold{g(x) = 4 + \frac{7}{2}x\: and \:f(x) = 5 -\frac{4}{5}x}\), we have:

\(f(g(x)) = 5 - \frac{4}{5}(4 + \frac{7}{2}x)\\ =5 - \frac{4}{5}(\frac{8+7x}{2})\\=5 - \frac{2}{5}(8+7x)\\=\frac{25-16-14x}{5}\\=\frac{9-14x}{5}\)

\(g(f(x)) = 4 + (\frac{7}{5})(5 - \frac{4}{5}x) \\=4 + (\frac{7}{5})(\frac{25-4x}{5})\\=4+ \frac{175-28x}{25}\\=\frac{100+175-28x}{25}\\=\frac{175-28x}{25}\)

As you can see, f(g(x)) does not equal x, and g(f(x)) does not equal x. Therefore, g(x) and f(x) are not inverses.

Sure, here are the inverses of the functions you provided:

2. g(n) = (8/3)n + 7/3

we can swap the roles of x and y and solve for y to find the inverse of g(n). In other words, we can write the equation as y = (8/3)n + 7/3 and solve for n.

y = (8/3)n + 7/3

n =3/8*( y-7/3)

Therefore, the inverse of g(n) is:

\(g^{-1}(n) = \frac{3}{8}(n - \frac{7}{3})=\frac{3}{8}*\frac{3n-7}{3}=\boxed{\frac{3n-7}{8}}\)

3. g(x) = 1 - 2x^3

We can use the method of substitution to find the inverse of g(x). We can substitute y for g(x) and solve for x.

\(y = 1 - 2x^3\\2x^3 = 1 - y\\x = \sqrt[3]{\frac{1 - y}{2}}\)

Therefore, the inverse of g(x) is:

\(g^{-1}(x) =\boxed{ \sqrt[3]{\frac{1 - x}{2}}}\)

The calculated value of the probability of B is (c) 0.25

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

P(A or B) = 0.3

P(A and B) = 0.2

P(A/B) =0.8

First, we have

P(A/B) = P(A and B)/P(B)

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

0.2/P(B) = 0.8

So, we have

P(B) = 0.2/0.8

Evaluate

P(B) = 0.25

Hence, the probability of B is 0.25

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Answer:

0.40

Step-by-step explanation:

5/13 = 0.38461538461. Hundreths place is the 2nd number after decimal so if you round 8 it'll be .40

Answer:

5/13 as a decimal to the nearest hundredth is 0.39 or 0.40.

Step-by-step explanation:

You simply need to divide 5 by 13, and you get 0.384615, but round to the nearest hundredth gets you 0.40