Kendall is using the formula shown to find the surface area of the prism:ph+2B.Assuming the base is the shaded surface , use t for variables P, h and B I her formula.

Answer:c= a +b

Step-by-step explanation:

Answer:

y=-8x+4

Step-by-step explanation:

Isolate the Y variable by balencing the equation! Khan acadamy has great videos on how to do this!

Answer:

Y=4-8x

OR if you want it more specific (slope intercept form)

y= -8x+4

Same thing

Step-by-step explanation:

SO when asked for y you just have to isolate the y

SO we can do that by subtracting 2x on both sides

1/4y=1-2x

Now to get y isloated we can just divide 1/4 on each sides

y=4-8x

THere you go or if you want it in slope intercept form just reverse the signs when switching the positions becuase y=mx+b

y= -8+4

Step-by-step explanation:

directly proportional means

y = kx

with k being a constant factor for all values of x.

we get k by using the given data point (10, 15).

15 = k×10

k = 15/10 = 1.5

so, now for the other tree we know k and x and calculate y

y = 1.5×14.4 = 21.6 m

it is 21.6 m tall (its height is 21.6 m).

Answer:

Scalene triangle (Option C)

Step-by-step explanation:

In a scalene triangle , all its sides have different lengths.

According to the figure given in question , lengths of all sides differ from each other. So , the triangle in the figure is a scalene triangle.

There are not equivalent to each other because the equation 2x+5=9 is equivalent to 2x=4

Answer: no.

Step-by-step explanation: 2x + 5 = 9 so subtract 5 from each side you get 2x = 4

X= 2

If we substitute that back in 2(2) + 5 = 9 so

If you do -2(2) = 4 it’s -4=4 and it’s not equivalent to each other

Because the statement is not correct.

Answer:

\(a(1) = 144\)

\(a(n) = 144{( - \frac{1}{6} )}^{n - 1} \)

\(a(n) = - \frac{1}{6} a(n - 1)\)

Answer:

The average velocity of the object over the interval of time [2,6] is of 18 units of distance per unit of time.

Step-by-step explanation:

The average velocity can be calculated as the division of the position change by the time change.

Find the average velocity of the object over the interval of time [2,6 ].

6 - 2 = 4 units of time (t, min,...)

s(6) = 141, s(2) = 69

141 - 69 = 72 units of distance(m, km...)

72/4 = 18 u.d./u.t.

The average velocity of the object over the interval of time [2,6] is of 18 units of distance per unit of time.

a) The phasor form of E-field = xˆ 2cos(wt - kz) - yˆ 4cos(wt - kz) is 2√5 L(-63.43).

Polarization type is linearly polarised.

b) The phasor form of E-field = ?

E(z,t) = xˆ 2cos(wt + kz) - yˆ 4sin(wt + kz) is E(z,t) =2√5 L(-143.43). polarization type is elliptical.

We have given that

E⃗(z,t) =2xˆcos(wt - kz) - 4 yˆcos(wt - kz)

|r⃗ | = √((2cos(wt - kz))² + (- 4cos(wt - kz))²)

= √(4cos²(wt - kz) + 16cos²(wt - kz))

= √(20cos²(wt - kz))

= 2√5 cos(wt - kz)

φ = 4cos(wt - kz)/(2cos(wt - kz))

= tan⁻¹ 1(-2) = -63.43°

So, E(z,t) = 2√5 L(-63.43)

b) E(z,t) = xˆ 2cos(wt + kz) - yˆ 4sin(wt + kz)

= xˆ 2cos(wt + kz) - yˆ 4cos(wt + kz -π/2)

|r| = √((2cos(wt + kz))² + (- 4sin(wt -+kz))²)

= √20

phi = tan⁻¹(- 4cos(wt - kz)/(2cos(wt - kz)) - π/2

= tan⁻¹( -2) + π/2 = - 143.43

so, E(z,t) =2√5 L(-143.43)

E(z,t) = xˆ 2cos(wt - kz) - yˆ 4cos(wt - kz)

if wt = 0°

E(z,t) = xˆ 2cos(0 - kz) - yˆ 4cos(0- kz)

= 2xˆ - 4yˆ

wt = 30° , E(z,t) = xˆ 2cos( - kz) - yˆ 4cos(0- kz)

E(z,t) = √3/2(2) xˆ - √3/2(4) yˆ

= √3xˆ - 2√3yˆ

for wt = 45°

E(z,t) = √2 xˆ - 2√2 yˆ

for wt = 90° =>E(z,t) = 0

for wt = 60° , E(z,t) = xˆ - 2 yˆ as seen in above graph that is linear polarised

For part (b) ,

E(z,t) = 2 xˆcos(wt - kz) - 4yˆ sin(wt + kz)

From graph elliptical polarised,

for wt = 0 , E(0,t) = 2 xˆ

for wt = 90° , E(0,t) = -4yˆ

for wt =180° , E(0,t) = -2 xˆ

for wt = 270° , E(0,t) = -4yˆ

Hence, we get the answer of both parts.

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Answer:

2

Step-by-step explanation:

1+1=2

Answer:

\(y = \frac{3}{2}x + 5\)

y = (3/2)x + 5

Step-by-step explanation:

The format of an equation of a line is \(y = mx + b\). Y and X are the coodinates of a point along the line. b is the y intercept (where it crosses the Y axis). m is the slope. This format is called slope-intercept form.

First, you need to find the slope of the line. You can do this using the slope formula, which is \(m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\). \(y_{1}\) and \(x_{1}\) are the x and y values of a point along the line, and \(y_{2}\) and \(x_{2}\) are the x and y values of a different point along the line that has a greater x value. Lastly, \(m\) is the slope of the equation, same as slope-intercept form.

To find the slope, you have to plug in your points. (-4, -1) has a smaller X value so we'll replace the \(y_{1}\) and \(x_{1}\) with those coordinates. We'll replace \(y_{2}\) and \(x_{2}\) with the other point, (2, 8)'s coordinates.

Now, the equation is \(m = \frac{8-(-1)}{2-(-4)}\). TO solve, just simplify the right side. 8 minus negative one is 9 (since subtracting negative numbers is the same as adding. 2 minus negative 4 is 6. Now we're left with \(m = \frac{9}{6}\), and 9 over 6 simplifies to \(m = \frac{3}{2}\). So the slope is \(\frac{3}{2}\), or 1.5. This means the Y value goes up 1.5 for every 1 the x value goes up.

Now, you have to find the Y intercept. To do this, you can make a table and fill in missing values by adding the slope to the Y every time we increase the X:

x    |   y
-----------
-4   |   -1
-3   |  0.5
-2   |  2
-1    | 3.5
0    |  5

Since the X is 0, the line is crossing the Y axis at (0, 5). The y intercept is 5.

Now finally, you just have to plug in the slope and y intercept into slope-intercept form, which is \(y = mx + b\), as mentioned above. B is the y intercept, so we replace that with five, making \(y = mx + 5\). M is the slope, so you replace that with \(\frac{3}{2}\). This makes the equation \(y = \frac{3}{2}x + 5\). And that's your answer!

Hopefully this helps, good luck!

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The equivalent expression is

\(x^{3/2}y^{19/2}\)

Option C is the correct answer.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

√(xy³) x (\(x^{1/2} y^4\))²

This can be written as,

[ √ means 1/2, √a = \(a^{1/2}\)]

√(xy³) = \(x^{1/2}y^{3/2}\)

(\(x^{1/2} y^4\))² = x\(y^8\)

Now,

√(xy³) x (\(x^{1/2} y^4\))²

=  \(x^{(1/2 + 1)}y^{(3/2 + 8)}\)

= \(x^{3/2}y^{19/2}\)

Thus,

The equivalent expression is

\(x^{3/2}y^{19/2}\)

Option C is the correct answer.

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Answer:

177.44ml

Step-by-step explanation:

i just know

The equation for total cost of buying and shipping the records is

76.4x + 80

We have,

She buys 3 in good condition

So, the cost for 3 good condition

= 3 (10.5x)

= 31.5 x

and, She buys 1 in Fair condition

So, the for 1 fair condition

= 5x

and, She buy 2 new condition then the price is

= 39.9 x

So, the equation for total cost of buying and shipping the records is

= 31.5x + 5x + 39.9x + 8

= 76.4x + 8

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The minimum head diameter that will fit the clientele is apprοximately 4.8 inches, and the maximum head diameter that will fit the clientele is apprοximately 8.4 inches.

The radius is the length frοm any pοint οn the surface tο the centre. Similar tο this, the diameter οf a circle is defined as the distance thrοugh its centre between any twο pοints οn its surface.

We may utilise the typical nοrmal distributiοn tο identify the head dimensiοns that will fit the majοrity οf the clients since the pοpulatiοn οf pοssible custοmers has head diameters that are nοrmally distributed.

The standard variatiοn is 0.9 inches, while the average head diameter is 6.6 inches. We need tο identify the z-scοres that cοrrelate tο these prοbabilities in οrder tο determine the head diameters that will fit all males with the exceptiοn οf thοse whοse head diameters fall within the 2.6% range, either the lοwest οr largest.

Using a standard nοrmal distributiοn table οr calculatοr, we find that the z-scοre cοrrespοnding tο a prοbability οf 0.026 (smallest 2.6%) is apprοximately -1.88, and the z-scοre cοrrespοnding tο a prοbability οf 0.974 (largest 2.6%) is apprοximately 1.88.

We can use these z-scοres tο find the cοrrespοnding head diameters using the fοrmula:

z = (x - μ) / σ

where z is the z-scοre, x is the head diameter, μ is the mean head diameter, and σ is the standard deviatiοn οf head diameters.

Fοr the smallest 2.6%, we have:

-1.88 = (x - 6.6) / 0.9

Sοlving fοr x, we get:

x = -1.88(0.9) + 6.6 ≈ 4.8 inches

Fοr the largest 2.6%, we have:

1.88 = (x - 6.6) / 0.9

Sοlving fοr x, we get:

x = 1.88(0.9) + 6.6 ≈ 8.4 inches

Therefοre, the minimum head diameter that will fit the clientele is apprοximately 4.8 inches, and the maximum head diameter that will fit the clientele is apprοximately 8.4 inches.

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Answer:

The Answer is C and D

Step-by-step explanation:

Just did it

Answer:

Step-by-step explanation:

100/10 to the 4 power is 0.01

well, if you had the cash right now, you can put it down cold for 5995.67 bucks

OR

put as a downpayment now 759 and then over 48 months pay 129.95 each month, well, 129.95  48 times is 129.95 * 48 = 6237.6, now let's add the 759 down and that's 6237.6 + 759 = 6996.6.

well, heck if you had the cash it'd be 5995.67, if you don't is 6996.6, their difference is 6996.6 - 5995.67 = 1000.93.

The approximate 90% confidence interval for this situation is given as follows:

(70244, 70632).

The bounds of the confidence interval are given by the rule presented as follows:

\(\overline{x} \pm z\frac{\sigma}{\sqrt{n}}\)

In which:

From the z-table, the critical value for a 95% confidence interval is given as follows:

z = 1.645.

The parameters are given as follows:

\(\overline{x} = 70438, \sigma = 645.3, n = 30\)

The lower bound of the interval is given as follows:

\(70438 - 1.645 \times \frac{645.3}{\sqrt{30}} = 70244\)

The upper bound of the interval is given as follows:

\(70438 + 1.645 \times \frac{645.3}{\sqrt{30}} = 70632\)

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Consider the integral

\(\displaystyle \int_{-\infty}^\infty \frac{5 + 2x^2}{1 + x^2} e^{-x^2} \, dx\)

which is the negative of yours. Bit strange to integrate over \((\infty,-\infty)\), but if that's what you actually intended, just multiply the final result by -1. Of course, I've already canceled the superfluous factors of \(x^2\).

Expand the integrand into partial fractions.

\(\displaystyle \int_{-\infty}^\infty \frac{5 + 2x^2}{1 + x^2} e^{-x^2} \, dx = \int_{-\infty}^\infty \left(2 + \frac3{1+x^2}\right) e^{-x^2} \, dx\)

Recall that for \(\alpha>0\),

\(\displaystyle \int_{-\infty}^\infty e^{-\alpha x^2} \, dx = \sqrt{\frac\pi\alpha}\)

Now let

\(\displaystyle I(a) = \int_{-\infty}^\infty \frac{e^{-ax^2}}{1+x^2} \, dx\)

Together, these give

\(\displaystyle \int_{-\infty}^\infty \frac{5 + 2x^2}{1 + x^2} e^{-x^2} \, dx = 2\sqrt\pi + 3I(1)\)

Differentiate \(I(a)\) under the integral sign with respect to \(a\) to obtain a simple linear differential equation.

\(\displaystyle \frac{dI}{da} = -\int_{-\infty}^\infty \frac{x^2 e^{-ax^2}}{1+x^2} \, dx \\\\ ~~~~~~~~ = - \int_{-\infty}^\infty \left(1 - \frac1{1+x^2}\right) e^{-ax^2} \, dx \\\\ ~~~~~~~~ = -\sqrt{\frac\pi a} + I(a)\)

Solve for \(I(a)\) with the initial value \(I(1) = \sqrt\pi\). Using an integrating factor,

\(\displaystyle \frac{dI}{da} - I(a) = -\sqrt{\frac\pi a} \\\\ e^{-a} \frac{dI}{da} - e^{-a} I(a) = -\sqrt{\frac\pi a}\,e^{-a} \\\\ \frac{d}{da}\left[e^{-a} I(a)\right] = -\sqrt{\frac\pi a}\,e^{-a}\)

By the fundamental theorem of calculus,

\(\displaystyle e^{-a} I(a) = e^{-a}I(a)\bigg|_{a=0} - \sqrt\pi \int_0^a \frac{e^{-\xi}}{\sqrt\xi} \, d\xi \\\\ I(a) = \pi e^a - \sqrt\pi \, e^a \int_0^a \frac{e^{-\xi}}{\sqrt\xi} \, d\xi\)

so that

\(\displaystyle I(1) = \pi e - \sqrt\pi\,e \int_0^1 \frac{e^{-\xi}}{\sqrt\xi} \, d\xi\)

Substitute \(t=\sqrt\xi\).

\(\displaystyle I(1) = \pi e - 2\sqrt\pi\,e \int_0^1 e^{-t^2} \, dt\)

Recall the error function,

\(\mathrm{erf}(x) = \displaystyle \frac2{\sqrt\pi} \int_0^x e^{-t^2} \, dt\)

which we can use to write

\(I(1) = \pi e - 2\sqrt\pi e \cdot \dfrac{\sqrt\pi}2\,\mathrm{erf}(1) = \pi e - \pi e \,\mathrm{erf}(1)\)

Finally, we arrive at

\(\displaystyle \int_{-\infty}^\infty \frac{5 + 2x^2}{1 + x^2} e^{-x^2} \, dx = \boxed{2\sqrt\pi + 3\pi e - 3\pi e \, \mathrm{erf}(1)}\)

Answer: 13

Step-by-step explanation:

4x+3y=-5 solve x :    

4x = -3y + -5           | -3y

1x = -0.75y + -1.25  | : 4

-3x + 7y = 13 solve x :

-3x + 7y = 13              | -7y

-3x = -7y = 13             | : (-3)

Equalization Method Solution: -0.75y+-1.25=2.333y+-4.333

-0, 75y - 1,25 = 2,333y - 4, 333 solve y:

-0, 75y - 1,25 = 2,333y -4, 333    | -2,333y

-3, 083y - 1,25 = -4,333               | + 1, 25

-3. 083y = -3,088                         | : (-3, 083)

y = 1

Plug y = 1 into the equation 4x + 3y = -5 :

4x + 3 · 1           | Multiply 3 with 1

4x + 3 = -5        | -3

4x = -8              | : 4

x = -2

So the solution is:

y = 1, x = -2

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Answer:

4 7/10 quarts

Step-by-step explanation:

9 1/2 = 9.5

4 4/5 = 4.8

9.5 - 4.8 = 4.7 = 4 7/10

Answer:

Step-by-step explanation:

Find the slope of the line using slope equation:

Use one of the points and the point-slope equation:

This can be converted to slope-intercept form:

Answer:

It is C

Step-by-step explanation:

Trust me, i got it right

Answer:

C

Step-by-step explanation:

have a great rest of your day!! btw Ill view ur profile!! :)

Mr. Lloyd could use his credit card to buy the TV. Therefore, option  A is the correct answer.

Using a credit card to make a purchase requires that the buyer have a credit limit that is large enough to cover the amount of the purchase. Mr. Lloyd does not have enough money in his bank account to pay for the television, so he would not be able to use a credit card to make the purchase.

Options B, C, and D are all viable options for Mr. Lloyd. He could save up money and pay cash for the television at a later date, or he could use his debit card to make the purchase when he has enough money in his bank account. He could also save money and use his debit card at a later date when he has enough money in his bank account.

Therefore, option  A is the correct answer.

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Mr. Lloyd wants to buy a new television, but he does not have enough money in his bank account to pay for one. Which of these is NOT an option for Mr. Lloyd?

A) He can use his credit card to buy the television now.

B) He can save money and pay cash for the television at a later date.

C) He can use his debit card to buy the television now.

D) He can save money and use his debit card to buy the television at a later date.

For given function function f(x)=-x+3-2, the domain is x > -3 and the range is y ≤ 2. So, correct option is D.

The function f(x)=-x+3-2 is a linear function in the form y=mx+b, where m is the slope and b is the y-intercept. In this case, the slope is -1 and the y-intercept is 1. Therefore, the graph of the function is a straight line that intersects the y-axis at (0,1) and has a slope of -1, meaning that it decreases by 1 for every 1 unit increase in x.

The domain of the function is the set of all possible values of x for which the function is defined. Since there are no restrictions on the value of x in the equation f(x)=-x+3-2, the domain is all real numbers, or (-∞, ∞).

The range of the function is the set of all possible values of y that the function can output. In this case, the lowest possible value of y occurs when x approaches positive infinity, and the highest possible value of y occurs when x approaches negative infinity. Therefore, the range is all real numbers less than or equal to 2, or y ≤ 2.

So, the domain is x ∈ (-∞, ∞) and the range is y ≤ 2. Alternatively, the domain can also be expressed as x > -3, since that is the minimum value of x at which the function is defined.

Correct option is D.

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Complete question is:

What are the domain and range of the function f(x)=-x+3-2?

A) domain: -3 -2

B) domain: -3 -3 range: y<-2

C) domain: x>-3 range:y>-2

D) domain : x>-3 range: y ≤ 2

The expression 8x + 4y is not equivalent to 4(2x + 1). Therefore, 8x + 4y = 4(2x + y)

Two expressions are said to be equivalent if they have the same value irrespective of the value of the variable(s) in them.

Equivalent expressions are expressions that have similar value or worth but do not look the same.

Let's determine whether the expression 8x + 4y is equivalent to 4(2x + 1).

Let's factorise to know whether the expressions are equivalent.

Therefore, using the common factors,

8x + 4y = 4(2x + y)

Hence, the expression are not equivalent .

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Answer:

Step-by-step explanation:

put all of the sets in a mean median and mode calcultor then add the three numbers toghter

The value of g(h(10)) is 2√2. the correct option is A.

Given that the functions are g(x)=√x-4 and h(x)=2x-8.

A function is defined as the relationship between a set of inputs where each input has an output.

Firstly, we will find the value of h(10) by substituting x=10 in the function h(x)=2x-8.

h(10)=2(10)-8

h(10)=20-8

h(10)=12

Now, we will find g(h(10)) where h(10)=12.

By substituting h(10)=12 in g(h(10)), we get

g(h(10))=g(12).

Further, we will find g(12) by substituting x=12 in the function g(x)=√x-4, we get

g(12)=√(12-4)

g(12)=√8

g(12)=2√2

Hence, the value of function g(h(10)) when g(x)=√x-4 and h(x)=2x-8 is 2√2.

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Answer:

To simplify this expression, we need to combine like terms. To do that, we need to combine terms that have the same variables raised to the same powers.

First, we will combine the terms in the first set of parentheses:

(4m²n² + 6m²n)

We see that the terms have the same variables, m and n, and the same powers, 2 and 1, respectively. We can combine these terms by adding their coefficients:

(4m²n² + 6m²n) = (4 + 6)m²n = 10m²n

Next, we will combine the terms in the second set of parentheses:

(8m²n^ - 7m²n² - 13m²n)

In this case, we see that the first two terms have the same variables and powers, so we can combine them by adding their coefficients:

(8m²n^ - 7m²n² - 13m²n) = (8 - 7)m²n^ - 13m²n = m²n^ - 13m²n

We can then combine the remaining term with the first term in the expression:

m²n^ - 13m²n + 10m²n = m²n^ + (-13 + 10)m²n = m²n^ - 3m²n

Finally, we will combine the terms in the third set of parentheses:

(14m²n - 2m^n² + 9m²n)

In this case, we see that the first two terms have the same variable and power for the m variable, but the powers of the n variable are different. Since we cannot combine these terms, we will need to leave them as is. We can, however, combine the remaining term with one of the other terms:

(14m²n - 2m^n² + 9m²n) = 14m²n - 2m^n² + (9 + (-14))m²n = 14m²n - 2m^n² - 5m²n

We can then combine this expression with the previous one:

14m²n - 2m^n² - 5m²n + m²n^ - 3m²n = (14 - 1)m²n - 2m^n² - (5 - 3)m²n = 13m²n - 2m^n² - 2m²n

Finally, we have simplified the expression as much as possible:

(4m²n² + 6m²n) - (8m²n^ - 7m²n² - 13m²n) - (14m²n - 2m^n² + 9m²n) = 13m²n - 2m^n² - 2m²n