On a number line point a is located at -7 and B locate is located at 17 which number is 2/3 of the distance from A to B

Check the picture below.

Answer:

15 ways

Step-by-step explanation:

girl 1 and boy 1

girl 2 and boy 1

girl 3 and boy1

girl 1 and boy 2

girl2 and boy 2

girl 3 and boy 2

girl 1 and boy 3

girl 2 and boy 3

girl 3 and boy 3

girl 1 and boy 4

girl 2 and boy 4

girl 3 and boy 4

girl 1 and boy 5

girl 2 and boy 5

girl 3 and boy 5

This are interest added on a sum of money invested. Jack will have $168.95 more than Maya in his account

This are interest added on a sum of money invested. The formula for calculating compound amount is given as;

A = P(1 +r/n)^nt

Given the following parameter

P =$2100

rate r = 7 5/8% = 0.07625

time t = 12 years

n =12 (monthly)

Substitute

A = 1200(1+0.07625/12)^12(12)
A = 1200 (2.4895)
A = $2987.46

For Maya

A = 1200(1+0.07375)^12

A = 2818.50

Take the difference

Difference =$2987.46 - $ 2818.5

Difference = $168.95

Hence Jack will have $168.95 more than Maya in his account

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We can simplify the expression as follows:

(x2z)1/4/x-1/2z1/2 = (x2z)1/4 * (x1/2z-1/2)

Using the property of exponents: (a^b)^c = a^(bc)

x2z = x^(2 * 1) * z^(1 * 1) = x^2 * z

x1/2z-1/2 = x^(1/2 * 1) * z^(-1/2 * 1) = x^(1/2) * z^(-1/2)

Substituting back into the expression:

(x^2 * z)^(1/4) * (x^(1/2) * z^(-1/2))

= x^ (2 * 1/4) * z^(1 * 1/4) * x^(1/2) * z^(-1/2) = x^(1/2) * z^(1/4) * x^(1/2) * z^(-1/2)

Combining like terms:

x^(1/2) * z^(1/4) * x^(1/2) * z^(-1/2) = x^(1/2 + 1/2) * z^(1/4 - 1/2) = x^1 * z^(-1/4) = x * z^(-1/4)

So, the simplified expression is x * z^(-1/4) with positive exponents.

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To solve this problem we can evaluate te terms in the table in each equation so:

For A) y = -x + 7

we replace (3,10)

So A is incorrect.

For B) y = x + 7

we replace (3,10), (4,11), (5,12) and (6,13)

So B is the correct answer

Answer:

.001

Step-by-step explanation:

1 / 1000, so you move the decimal point over three places.

Answer:

The answer is A. 0.001

Step-by-step explanation:

1. Figure out what 10^3 is. It is 10 × 10 × 10, or just ten with three zeros. That's 1000.

2. Since it is 1/1000, it is the same thing as 1 ÷ 1000 which is 0.001. This is easy to figure out, since it is just 1 in the thousandths place or one with three zeros in front.

Answer:

Sin A = 15/17 = 0.8823529411....

Cos A = 8/17 = 0.4705882352...

Tan A = 15/8 = 1.875

Step-by-step explanation:

SOH CAH TOA!!!!

Answer:

B

Step-by-step explanation:

the counting number just before C5F16 is 3,072.

The class of the equation and the cross section equation are;

The equation is a hyperboloid of two sheets

The cross sections are;

Equation at z = 0 is; y²/8 - x²/8 = 1

Equation at y = -4 is; x²/8 + z² = 1

Equation at y = 0 is; x²/8 + z² = -1

Equation at y = 4 is; x²/8 + z² = 1

Equation at x = 0 is; y²/8 - z² = 1

An equation is a mathematical statement which indicates the equivalence two expressions by joining them with the '=' sign.

The equation can be presented as follows;

y² = x² + 8·z² + 8

y² - x² - 8·z² = 8

y²/8 - x²/8 - z² = 1

The above equation is the equation of an hyperboloid of two sheets, where;

a² = 8, b² = 1, and c² = 8

Please find attached the diagram of the surface, created with an online 3D graphing tool.

The equation for the cross section at z = 0, can be obtained by plugging in z = 0, into the equation as follows;

y²/8 - x²/8 - 0 = 1

y²/8 - x²/8 = 1

The above equation is the equation of an hyperbola in the xy plane

The equation for the cross section at y = -4, can be obtained by plugging in y = -4, into the equation as follows;

4²/8 - x²/8 - z² = 1

- x²/8 - z² = 1 - 4²/8 = -1

- x²/8 - z² = -1

x²/8 + z² = 1

The above is an equation of an ellipse in the xz plane

The equation for the cross section at y = 0, can be obtained by plugging in y = 0, into the equation as follows;

0²/8 - x²/8 - z² = 1

- x²/8 - z² = 1

Therefore; x²/8 + z² = -1

The equation for the cross section at y = 4, can be obtained by plugging in y = 4, into the equation as follows;

4²/8 - x²/8 - z² = 1

- x²/8 - z² = 1 - 2 = -1

x²/8 + z² = 1

The above equation is the equation of an ellipse in the xz plane

The equation for the cross section at x = 0, can be obtained by plugging in x = 0, into the equation as follows;

y²/8 - 0²/8 - z² = 1

y²/8 - z² = 1

The equation is the equation of an hyperbola in the yz plane

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Answer:

what's the question?

Answer:

13, 16.5, 12

Step-by-step explanation:

-7x= -91 divide both sides by -7 to isolate x

\(\frac{-7}{-7} x=\frac{-91}{-7}\) any number divided by itself like in -7/-7 =1

x=13

0.5x + 1.75 = 10 subtract 1.75 from both sides

0.5x +1.75-1.75 =10 -1.75

0.5x = 8.25 divide by 0.5 both sides

\(\frac{0.5}{0.5} x=\frac{8.25}{0.5}\)

x=16.5

0.75h +3=12 subtract 3 from both sides

0.75h = 12-3 divide both sides by 0.75

\(h= \frac{9}{0.75}\) = 12

Answer:

(x−5) and (x−4)

Step-by-step explanation:

Answer:

I think its 10.8 65÷6 is 10.8

Answer:

8 hours

Step-by-step explanation:

If you subtract $17 from $65 you get $48 and divide by 6 you get 8 hours

Answer:  127.2

Step-by-step explanation: 1⁄2(a × b) + 3⁄2(b × s) is the formula for triangular pyramids. When you follow this formula for triangular pyramids, you will always get these correct.

Answer:

i forgot my answer this was my last weak module why am i so forgetfull

umm

127.2

Answer:

(st)(6)= s(6) * t(6)

Step-by-step explanation:

(st)(6)

(st)(x)= s(x) * t(x) we multiply it

(st)(6)= s(6) * t(6)

Hope this helps.

The simplified equation is (π2 / 2) * ∫[0, ∞] (x(2x-1) * e(-x) / (Γ(x) * Γ(1 - x)) DX

a. To prove B(x+1, y) = x * B(x, y), proceed as follows.

Start with B(x+1, y) = [(x+1)! * y!] / ((x+y+2)!) (using the definition of B(x, y)).

Rewrite 1 / (x+1) to (x+y+2 - (y+1)) / (x+y+2) .

Using the formula above, express B(x+1, y) as (x+y+2) / (x+y+2) * [(x+1)! to rewrite. * y!] / ((x+y+2)!) - (y+1) / (x+y+2) * [(x+1)! * y!] / ((x+y+2) !).

Simplify the formula to (x+y+2) / (x+y+2) * B(x, y) - (y+1) / (x+y+2) * B(x, y) increase.

Simplify further to B(x, y) - (y+1) / (x+y+2) * B(x, y).

Note that B(x, y) can be expressed as (x / (x+y+1)) * B(x, y) .

Substitute this formula in the previous step to get,

x * B(x, y) - (y+1) / (x+y+2) * x * B(x, y).

x * B(x, y) - (y+1) / (x+y+2) * x * B(x, y)

= x * B(x, y)

You have now proved B(x+1, y) = x * B(x, y).

b. We wish to prove the identity Γ(2x) = ((2sin(πx))) * Γ(x) * Γ(x + 1/2).

Integrate ∫[0, ∞] (x(2x-1) * Start with dx.

Evaluating this integral using the permutation u = du is obtained.

Simplify the integral to (1/2) * Γ(x + 1/2).

Express sin(πx) as π / (Γ(x) * Γ(1 - x)).

Let the original integral be π * (2(2x-1) / π) * ∫[0, ∞] (x(2x-1) * e(-x) * (1/sin( πx) Rewrite.)) DX.

Substituting the equations,

The integral, π * (2(2x-1) / π) * ∫[0, ∞] (x(2x-1) *

We get * (π / (Γ(x) * Γ(1 - x)))) dx.

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Answer:

\(\sf 872\)

Step-by-step explanation:

Parentheses

\(9 + 3 = 12\)

\(=20^2\cdot \:2+6\cdot \:12\)

Exponents

\(20^2=400\)

\(=400\cdot \:2+6\cdot \:12\)

M/D(Multiply/Div.)

\(6\cdot \:12 = 72\)

\(=800+72\)

A/S(Add/Sub.)

\(800+72=872\)

\(\sf Thus,\\= 872\)

The measure of the angle x is 41.41° in the given triangle.

Triangle is a clοsed twο-dimensiοnal shape. It is a three-sided pοlygοn. All sides are made οf straight lines. The pοint where twο straight lines jοin is the vertex. Hence, the triangle has three vertices. Each vertex fοrms an angle.

Given that cos θ = side adjacent to angle x/hypotensive

Here, side adjacent to angle x = 6

hypotensive = 8

cos x = 6/8

x = arccos 6/8

x = 41.41°

Thus, the measure of the angle x is 41.41° in the given triangle.

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Answer:

The answer is shown below

Step-by-step explanation:

Let y(t) be the fraction of the population that has heard the rumor at time t and assume that the rate at which the rumor spreads is proportional to the product of the fraction y of the population that has heard the rumor and the fraction 1−y that has not yet heard the rumor.

a)

\(\frac{dy}{dt}\ \alpha\ y(1-y)\)

\(\frac{dy}{dt}=ky(1-y)\)

where k is the constant of proportionality, dy/dt =  rate at which the rumor spreads

b)

\(\frac{dy}{dt}=ky(1-y)\\\frac{dy}{y(1-y)}=kdt\\\int\limits {\frac{dy}{y(1-y)}} \, =\int\limit {kdt}\\\int\limits {\frac{dy}{y}} +\int\limits {\frac{dy}{1-y}} =\int\limit {kdt}\\\\ln(y)-ln(1-y)=kt+c\\ln(\frac{y}{1-y}) =kt+c\\taking \ exponential \ of\ both \ sides\\\frac{y}{1-y} =e^{kt+c}\\\frac{y}{1-y} =e^{kt}e^c\\let\ A=e^c\\\frac{y}{1-y} =Ae^{kt}\\y=(1-y)Ae^{kt}\\y=\frac{Ae^{kt}}{1+Ae^{kt}} \\at \ t=0,y=10\%\\0.1=\frac{Ae^{k*0}}{1+Ae^{k*0}} \\0.1=\frac{A}{1+A} \\A=\frac{1}{9} \\\)

\(y=\frac{\frac{1}{9} e^{kt}}{1+\frac{1}{9} e^{kt}}\\y=\frac{1}{1+9e^{-kt}}\)

At t = 2, y = 40% = 0.4

c) At y = 75% = 0.75

\(y=\frac{1}{1+9e^{-0.8959t}}\\0.75=\frac{1}{1+9e^{-0.8959t}}\\t=3.68\ days\)

Answer:

Explanation below

Step-by-step explanation:

First, it seems you are trying to get the 95% confidence interval (not just interval) for the predicted rate of Childhood Asthma in the city.

This city's particulate is 13 ppm.

The answer is "not reasonable".

Why?

This is because no data is given on the children in the city. 13 ppm is the value for the city's particulate; it is not the mean value for the predicted rate of childhood asthma in the city. If this mean value were available, the 95% confidence interval would be created around this mean.

In h(x) = 4x^2 + 3x - 2, there is an x contained with h as well as an x in the expression. To find h(j + 1), we'll need to plug in (j + 1) everywhere that there is an x.

h(j + 1) = 4(j + 1)^2 + 3(j + 1) - 2

h(j + 1) = 4(j^2 + 2j + 1) + 3j + 3 - 2

h(j + 1) = 4j^2 + 8j + 4 + 3j + 3 - 2

h(j + 1) = 4j^2 + 11j + 5

Hope this helps!

Answer:

x/3

Step-by-step explanation:

Let the number be x.

Quotient simply means to divide a number by another number without any remainder.

For example, a quotient of 2 simply means that a number divided by 5 would have a value that is equal to 2 without any remainder; 10/5 = 2.

Therefore, translating the word problem into an algebraic expression we have;

Quotient = x/3

Answer:

This a place where kids can go

Step-by-step explanation:

in crisis

Answer:

This is a place kids can play

Step-by-step explanation:

In crisis

Answer:

x=0, y=0

x=2, y=4

Step-by-step explanation:

Answer:

x = 2, y = 4.

Step-by-step explanation:

x^y = y^x

Substitute y = 2x in the above:

x^2x = (2x)^x

x^2x = 2*x * x^x      Divide both sides by x^x:

x^2x / x^x = 2*x

x^(2x-x) = 2^x

x^x = 2^x

So x = 2.

and y = 2x = 4.

We can also make x = 0 and y = 0  but

I'm not sure if  this result is valid because 0^0 is undefined.

Looking further into this there seems to be different opinions on this with some mathematicians say 0^0 = 1, so x=0, y = 0 may be acceptable.

Answer:

-3 -27-1,9

Step-by-step explanation:

899 plus 8

The slope of the points (-3, -27) and (1, 9) will be;

⇒ m = 9

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Two points on the line are (-3, -27) and (1, 9).

Now,

Since, The equation of line passes through the points (-3, -27) and (1, 9).

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (9 - (-27)) / (1 - (-3))

m =  36 / 4

m = 9

Thus, The slope of the points (-3, -27) and (1, 9) will be;

⇒ m = 9

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The graph of the function g(x) = x + 3 is a straight line that passes through the point (0, 3) on the y-axis and has a slope of 1.

To understand how to plot the graph, let's consider a few points on the line.

We can choose any values for x and calculate the corresponding values for g(x).

Let's start with x = 0.

Substituting this value into the function, we get g(0) = 0 + 3 = 3.

So, the point (0, 3) is on the graph.

Next, let's choose x = 1.

Substituting this value into the function, we get g(1) = 1 + 3 = 4.

This gives us another point on the line, (1, 4).

Similarly, we can choose more values for x and calculate the corresponding values for g(x).

For example, if we let x = -1, we get g(-1) = -1 + 3 = 2, giving us the point (-1, 2).

By connecting these points and extending the line in both directions, we obtain a straight line that represents the graph of g(x) = x + 3.

The line has a positive slope of 1, which means it rises by 1 unit vertically for every 1 unit it moves horizontally.

Overall, the graph of g(x) = x + 3 is a straight line that passes through the point (0, 3) and has a slope of 1.

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