solve 3(3+3) + 3(3+3)​

Danielle viewed 7 movies on demand, thus you must divide her 35 dollars among them. So the monthly charge for Danielle's cable bill is $5.

Danielle pays a monthly charge of $69 for her cable bill.

She also pays a fee every time she watches a movie on demand.

Last month Danielle watched 7 movies on demand, and her total monthly bill was $104.

We have to find the monthly charge for Danielle's cable bill to choose.

Remove the monthly fee of 69 dollars for cable service from the total of 104 dollars, then check the statement to see that there is still a mystifying 35 dollars on it.

Danielle viewed 7 movies on demand, thus you must divide her 35 dollars among them, giving you the result of $5 per on-demand movie.

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Answer: D

Step-by-step explanation:

Answer:

\(6x^{2}+10x-12\)

Step-by-step explanation:

Answer: 127

Step-by-step explanation:

150 fruits times 15% = 22.5 rotten fruits

150 total -22.5 rotten=127.5 fres fruits

You can't have half a fruit so I chose to round down to 127

Answer:

2.41860465*10^-2

Step-by-step explanation:

Just use your calculator

Answer:

Step-by-step explanation:

☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆

☁Brainliest is greatly appreciated!☁

Hope this helps!!

- Brooklynn Deka

The volume of a cylinder of radius r and height h is given by the equation presented as follows:

V = πr²h.

The volume of a cone is a third of the volume of a cylinder, hence:

V = πr²h/3.

For both cases, the height variable h has an exponent of one, hence:

If we had doubled the radius for example, the volume would be multiplied by 2² = 4, as the radius is squared.

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A possible set of scores for the students is: 4, 4, 6, 6, 6

We are given that five students took the quiz. If the lowest score is 4 and the highest score is 6, we can say that the set of values ​​can be expressed as:

4, x, y, z, 6

Here we can see that the mode is 6 and the mean is 5.2. Therefore, at least one other student of hers has scored her 6, which could result in:

4, x, y, 6, 6

Therefore:

(4 + x + y + 6 + 6)/5 = 5.2

16+x+y=26

x + y = 10

So the other two numbers are probably 6 and 4, because 6 is the mode, so they can't both be 5.

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We can't use the AAA to prove triangles are congruent.

What is the Angle-Angle-Angle(AAA) rule of congruence?

The Angle-Angle-Angle (AAA) congruence rule states that if two triangles have the same three angles, then they are congruent. This means that the two triangles have the same size and shape.

No, the Angle-Angle-Angle (AAA) congruence rule does not provide a way to prove that two triangles are congruent. In fact, it is possible for two triangles to have the same three angles but still be different in size and shape.

To prove that two triangles are congruent, it is necessary to use one of the other congruence rules, such as the Side-Side-Side (SSS) congruence rule, the Side-Angle-Side (SAS) congruence rule, or the Angle-Side-Angle (ASA) congruence rule. These rules take into account both the angles and the side lengths of the triangles, which allows for a more comprehensive comparison of the triangles' size and shape.

Hence, we can't use the AAA to prove triangles are congruent.

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Answer:

Step-by-step explanation:

a  : 1,000

b : 350

Answer:

45

Step-by-step explanation:

Use Pythagoras theorem to solve

Answer:

7

Step-by-step explanation:

4 is half of 8 so if s is 4 then the fraction is 8/4. simplified it is 2/1, and that is 2 wholes so 2. the equation rewritten is 9-2 and that = 7.

Answer:

the answer should be -185

Answer:

0

Step-by-step explanation:

1/2 (18 + 14)- (18 - 14)^2

=1/2 (32) - 4^2

=16 - 16

=0

The importance of the standard normal distribution arises from the fact that any normal random variable can be transformed or standardized into the standard normal random variable to derive the relevant probabilities.

The normal distribution is a continuous probability distribution used to model random variation around the mean of a variable.The importance of the standard normal distribution arises from the fact that any normal random variable can be transformed. It is characterized by two parameters: the mean (μ) and the standard deviation (σ). The standard normal distribution is a special case with a mean of zero and a standard deviation of one, denoted by Z. It has a bell-shaped curve, and the area under the curve between two values represents the probability of observing a value in that interval.

To transform a normal distribution into the standard normal distribution, standardization is employed. This process involves subtracting the mean of the normal distribution from the random variable and dividing the result by the standard deviation. The resulting standardized value has a mean of zero and a standard deviation of one, following the formula: z = (x - μ) / σ.

Once the standard normal distribution is obtained, probabilities can be calculated using the z-table. This table provides the area under the curve of the standard normal distribution to the left of a given value of z. By looking up the relevant value in the z-table, the probability of observing a value less than or equal to that z-value can be determined.

For example, let's consider a normal distribution with a mean of 70 and a standard deviation of 10. To find the probability of observing a value less than 80, we standardize the value as follows: z = (80 - 70) / 10 = 1. We then consult the z-table and find the area under the curve to the left of z = 1, which is 0.8413. Therefore, the probability of observing a value less than or equal to 80 in the original normal distribution is 0.8413.

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Answer:

162

Step-by-step explanation:

a=\(\frac{a+b}{2} h\)

a=base and the base is 13 ft.

b= also means base which is 23 ft.

h= height which is 9 ft.

so 13+23 is 36

36/2 is 18

and 18 times 9 is 162

sorry for the lengthy answer but i hope this helps :) have a nice day !!

The given statement "The hypotenuse of a right triangle will be the diameter of the circumscribed circle of the triangle" has been justified below.

What is Right angled triangle?

A right angled triangle, also known as a right triangle, is a triangle in which one of the interior angles measures exactly 90 degrees (a right angle). This 90 degree angle is formed between the two legs of the triangle, which are the sides that are adjacent to the right angle. The third side of the right angled triangle is called the hypotenuse, and it is opposite to the right angle.

Consider a right triangle ABC, where angle ABC is the right angle, and let O be the circumcenter of the triangle. We want to show that the hypotenuse AB is the diameter of the circle.

First, we note that the perpendicular bisector of the side AB passes through O, since O is equidistant from A and B. Similarly, the perpendicular bisector of the side AC also passes through O, since O is equidistant from A and C.

Now, since the angle at B is a right angle, the midpoint of the hypotenuse AB is equidistant from A, B, and C. Therefore, the perpendicular bisector of AB also passes through the midpoint of AB.

Therefore, the perpendicular bisectors of AB and AC intersect at point O, which is the circumcenter of the triangle. Moreover, since OA and OB are both radii of the circumcircle, we have that AB is a diameter of the circle, as required.

Thus, we have shown that the hypotenuse of a right triangle is the diameter of the circumscribed circle of the triangle.

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Answer:

Step-by-step explanation:

Answer:

B. y ≤ –3x + 5

Step-by-step explanation:

Its B, all y-values are less than -3x+5. also consider root by setting -3x+5=0

x=5/3 is positive so its the second one

...................................................................................................................................................

Answer:

Step-by-step explanation:

we know that

The solution of the inequality is the shaded area below the solid line (the gray area)

The slope of the solid line is negative

The y-intercept of the solid line is positive

The equation of the solid line is equal to  

therefore

the equation of the inequality is equal to

In the given formula we have variables:

If we have to solve it for P then it should be called 'Principal' or 'Loan amount'.

If we have to solve it for n then it should be called 'Number of payments' or 'Number of installments'.

Since n is the power of a number we need logarithm to solve it for n.

Answer:

"Principal (loan amount)"

"Term of the loan (in months)" or "Number of monthly payments"

Logarithms

Step-by-step explanation:

Monthly Payment Formula

\(M=\dfrac{Pr\left(1+r\right)^n}{\left(1+r\right)^n-1}\)

where:

If we solve for P, the name of the formula is "Principal (loan amount)".

If we solve for n, the name of the formula is "Term of the loan (in months)" or "Number of monthly payments".

When solving for n, we need to use logarithms:

\(\boxed{\begin{aligned}M&=\frac{Pr\left(1+r\right)^n}{\left(1+r\right)^n-1}\\\\M(\left(1+r\right)^n-1)&=Pr\left(1+r\right)^n\\\\\frac{\left(1+r\right)^n-1}{\left(1+r\right)^n}&=\frac{Pr}{M}\\\\1-\frac{1}{\left(r+1\right)^n}&=\frac{Pr}{M}\\\\\frac{1}{\left(r+1\right)^n}&=1-\frac{Pr}{M}\\\\\left(r+1\right)^{-n}&=1-\frac{Pr}{M}\\\\\ln \left(r+1\right)^{-n}&=\ln \left(1-\frac{Pr}{M}\right)\\\\-n\ln(r+1)&=\ln\left(1-\frac{Pr}{M}\right)\\\\n&=\frac{-\ln\left(1-\frac{Pr}{M}\right)}{\ln(r+1)}\end{aligned}}\)

Thus, the value of the function for the given Laplace transformation is:

y(t)=(1/6)*∫[0,t]sin(6(t-u))du+30u(t-3)sin(6(t-3))

To take the Laplace transform of both sides of the given differential equation, we will use the fact that L{y''(t)}=s^2Y(s)-s*y(0)-y'(0) and L{g(t)}=G(s), where G(s) is the Laplace transform of g(t).

Thus, we have:
s^2Y(s)-s*0-0+36Y(s)=G(s)

Simplifying:
Y(s)(s^2+36)=G(s)

Solving for Y(s):
Y(s)=G(s)/(s^2+36)

To take the inverse Laplace transform of both sides, we will use the fact that L^-1{F(s)/s}=∫[0,∞]f(t)dt and L^-1{F(s)/(s^2+w^2)}=1/w*sin(wt).

Thus, we have:
y(t)=L^-1{Y(s)}=L^-1{G(s)/(s^2+36)}

Breaking up G(s) into two terms based on the definition of g(t), we have:
y(t)=L^-1{(t/(s^2+36))+(30e^(-3s)/(s^2+36))}

Taking the inverse Laplace transform of the first term:
L^-1{(t/(s^2+36))}=∫[0,t](1/6)*sin(6(t-u))du

Taking the inverse Laplace transform of the second term:
L^-1{(30e^(-3s)/(s^2+36))}=30u(t-3)sin(6(t-3))

Thus, our final solution for y(t) is:

y(t)=(1/6)*∫[0,t]sin(6(t-u))du+30u(t-3)sin(6(t-3))

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The surface area of the balloon is increasing at a rate of 5 square centimeters per second when the radius is 5 cm.

A) We know that the volume of a sphere is given by:

V = (4/3)πr^3

Taking the derivative of both sides with respect to time, we get:

dV/dt = 4πr^2 (dr/dt)

where dV/dt is the rate of change of volume (which is 10 cubic centimeters per second in this case), dr/dt is the rate of change of radius, and 4πr^2 is the surface area of the sphere.

Rearranging the equation, we get:

dr/dt = (1 / (4πr^2)) dV/dt

Substituting dV/dt = 10 cubic centimeters per second, we get:

dr/dt = (1 / (4πr^2)) (10) = (5 / (2πr^2)) cubic centimeters per second

Therefore, the expression for the rate at which the radius of the balloon is increasing is dr/dt = (5 / (2πr^2)) cubic centimeters per second.

B) When the diameter is 40 cm, the radius is 20 cm. We can use the expression we derived in part (A) to find the rate at which the radius is increasing:

dr/dt = (5 / (2πr^2)) cubic centimeters per second

Substituting r = 20 cm, we get:

dr/dt = (5 / (2π(20^2))) cubic centimeters per second

dr/dt ≈ 0.00198 cm/s (rounded to 5 decimal places)

Therefore, the radius of the balloon is increasing at a rate of approximately 0.00198 cm/s when the diameter is 40 cm.

C) When the radius is 5 cm, the surface area of the sphere is given by:

A = 4πr^2

Taking the derivative of both sides with respect to time, we get:

dA/dt = 8πr (dr/dt)

We can use the expression we derived in part (A) to find the rate at which the radius is increasing:

dr/dt = (5 / (2πr^2)) cubic centimeters per second

Substituting r = 5 cm and dr/dt = (5 / (2πr^2)) cubic centimeters per second, we get:

dA/dt = 8π(5) ((5 / (2π(5^2))))

dA/dt = 5 cubic centimeters per second

Therefore, the surface area of the balloon is increasing at a rate of 5 square centimeters per second when the radius is 5 cm.

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Answer:

b

Step-by-step explanation:

(2x + 6) x (-5x -9)

-10x^2 -18 - 30 -54

-10x^2 - 38 - 54

Answer:

y=2x+4

Step-by-step explanation:

2 is the slope, you can see that with rise over run. 4 is the y intercept

Answer:

y=2x+4

Step-by-step explanation:

Look at the y-axis if the point that touches the y-axis is 4

Then the slope is 2

you go down 2 which is -2 (Since down is negative)

and you go left 1 which is -1 (Since left is negative)

now the equation looks like this:

y=-2/-1x+4

Simplify: (negative and negative cancel each other out making it positive)

y=2x+5

Erosion should be the right answer

Answer:

Volcanic Eruptions, Mountain Range Formations, Earthquakes

Step-by-step explanation:

The given parabolic equation is y = 4x - x² and the point is (1, 3). We are to determine the slope of the tangent line at (1, 3) and then obtain an equation of the tangent line.  we must first calculate the derivative of the given equation.

We can do this by using the power rule of differentiation. The derivative of x² is 2x. So the derivative of y = 4x - x² is dy/dx = 4 - 2x.Since we want to find the slope of the tangent line at (1, 3), we need to substitute x = 1 into the equation we just obtained. dy/dx = 4 - 2x = 4 - 2(1) = 2. Therefore, the slope of the tangent line at (1, 3) is 2.We can now write the equation of the tangent line. We know the slope of the tangent line, m = 2, and we know the point (1, 3).

We can use the point-slope form of the equation of a line to obtain the equation of the tangent line. The point-slope form of the equation of a line is given as: y - y₁ = m(x - x₁)where m is the slope, (x₁, y₁) is a point on the line.Substituting in the values we have, we get:y - 3 = 2(x - 1)We can expand this equation to obtain the slope-intercept form of the equation of the tangent line:y = 2x + 1Therefore, the equation of the tangent line to the parabola y = 4x - x² at the point (1, 3) is y = 2x + 1.

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Answer:

U equal them

Step-by-step explanation:

An divide

Answer:

See attached image.

Step-by-step explanation:

How about this answer to both?  I've seen cylindrical-conic tanks in a local brewery.  The tank is a cone with a cylinder on top.  It's important to know the volumes of both the cylinder and the cone.

Step-by-step explanation:

Answer:

Additive identity

Step-by-step explanation:

When a number that when added to any number it results in itself as the sum

hm, well I cant write a story FOR you, but I can give ya some ideas! I suggest going a more comedic route, something over dramatic to fit the fact you have to write a story about math symbols haha. maybe a forbidden love story between them. maybe personify the symbols in your writing, making them more human. or go full crazy and make them walking talking symbols. maybe they're doodles on a white board, making an epic adventure through the scribbles! dont over think creative prompts like this, just have fun and be creative! happy writing ♡

Answer:

Step-by-step explanation:

Factor

7

out of

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7

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4

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+

35

x

−

21

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+

7

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5

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.

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5

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Answer:

The cube root of 48 equals the cube root of 6 times 2.

Step-by-step explanation: