Let m represent: Angle A is obtuse
Let n represent: Angle B is obtuse
Which is a symbolic representation of the following argument?
9340
mvn
MAN
omen
mvn
..MAN
O
m-n
MAN
mvn
man
man
mvn
Angle A is obtuse if and only if Angle B is obtuse.
Angle A is obtuse or Angle B is obtuse
Therefore, Angle A is obtuse and Angle B is obtuse.

Answer:

r < 35 or r ≥ 43

Step-by-step explanation:

We are told that when the bus driver leaves her first stop by 7:00 a.m., her route will take less than 35 minutes.

Since the time it takes to drive the route is r, then;

r < 35

Also, If she leaves after 7:00 a.M., she estimates that the same route will take no less than 43 minutes. Thus;

r ≥ 43

Thus;

r < 35 or r ≥ 43

so, he spend $42

nb: multiple by (-1) to be positive

Answer: you would use the last option

Answer:

x=\frac{0.48+\sqrt{0.0768}}{0.0096},\:x=\frac{0.48-\sqrt{0.0768}}{0.0096}

Step-by-step explanation:

(x-50)^2 is x^2+2500-100x*.0048 is .0048x. 2500*0.0048 is 12, and -100*0.0048=-.48.

So, we have .0048x^2+12-.48x+6, which is

.0048x^2+18-.48x=10. USing the quadratic formula, we get

x=\frac{0.48+\sqrt{0.0768}}{0.0096},\:x=\frac{0.48-\sqrt{0.0768}}{0.0096}

(Enter into symbolab.com to see theanswer)

The equation that relates dA/dt to dr/dt for a circle with radius R and area a = πr^2 is: dA/dt = 2πR * (dR/dt).

To derive this equation, we start with the formula for the area of a circle:

a = πr^2

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

dA/dt = 2πr * (dr/dt)

But we want to express dA/dt in terms of R and dR/dt, so we need to substitute r = R into this equation. Using the fact that a = πR^2, we can solve for r in terms of R:

r = sqrt(a/π) = sqrt(R^2) = R

Substituting r = R and simplifying, we arrive at the equation:

dA/dt = 2πR * (dR/dt)

This equation allows us to relate the rate of change of the area of a circle to the rate of change of its radius, which can be useful in various applications such as physics, engineering, and geometry.

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Answer:

dab is cool and fun noice

Answer:

$28,507.72

Step-by-step explanation:

y=35000 (1- .05)^4

y=35000 (.95)^4

y=35000(.81451)

y=28507

please like!

VVV                and rate stars! VVVV       :D

Answer:

graph below

Step-by-step explanation:

Graphing lines in slope intercept form:

The equation of the line is in \(y=mx+b\) form, which makes this easy for us.

\(y=-\frac{1}{3}x-2\)

The y intercept of this equation is -2 because of click clack, which means we will start there.

The slope is negative, so when we are graphing we will go down 1 and 3 to the right while graphing.

Answer: The correct answer is D

Step-by-step explanation:

Answer:

4π

Step-by-step explanation:

180 * 4 * π/180 radians

180s cancel out

4π radians

Both Mathew and James are exerting the same amount of force, which is 400 newtons.

Force is a measure of the interaction between two objects and is expressed in newtons (N). In this case, both Mathew and James are exerting a force of 400 newtons. The weight of the sled and the tree stump, both weighing 200 lbs, does not affect the force exerted by Mathew and James.

The weight of an object is the force exerted on it due to gravity. In this context, the weight of the sled and the tree stump is the same, 200 lbs. However, when comparing forces, we consider the amount of force applied by an individual, which is independent of the weight of the object being pushed or lifted.

Therefore, Mathew and James are exerting the same amount of force, which is 400 newtons.

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The correlation coefficient ρ for X and Y is ρ = -0.6675 in the given function.

The correlation coefficient is a statistical concept that aids in establishing a relationship between expected and actual values obtained through statistical experimentation. The calculated correlation coefficient's value explains why the difference between the predicted and actual values is so exact.

Correlation Coefficient value is always in the range of -1 to +1. A similar and identical relationship exists between the two variables if the correlation coefficient value is positive. Otherwise, it reveals how differently the two variables behave.

Pearson's correlation coefficient is calculated by taking the covariance of two variables and dividing it by the sum of their standard deviations. is typically used to represent it (rho).

The correlation coefficient is computed as,

\($ \rho & =\frac{{Cov}(X, Y)}{\sqrt{V(X)} \times \sqrt{V(Y)}}\)

\($=\frac{-0.0267}{\sqrt{0.04} \times \sqrt{0.04}}\)

= -0.6675

Thus, the correlation coefficient ρ for X and Y is ρ = -0.6675.

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Answer:

the answer is (-15,13)

Step-by-step explanation:

try to solve for x on one equation, like 8x+9y=-3

x=-9/3y-3/8

plug x in for the next equation

6((-9/8y)-3/8)+7y=1

(-27y/4)-9/4+7y=1

y/4-9/4=1

y/4=13/4

y=13

now plug in the y value for any equation

6x+7(13)=1

6x+91=1

6x=-90

x=-15

So the answer to the system of equations is (-15,13)

In total, 57 different palindromes are possible on a 12-hour digital clock displaying only the hours and minutes.

A palindrome is a number which reads the same forward as backward.

Consider the time from 1 hour to 9 hours.

In this case, the time will be of form x:yz.

There are 9 choices for x (1,2,3,4,5,6,7,8,9).

There are 6 choices for y (0,1,2,3,4,5).

So, in this time period, the number of palindromes will be 9*6=54.

Now, from 10 hours to 12 hours, the minutes are already determined, so there are only 3 palindromes in this case.

Therefore, there are (54+3)=57 palindromes on a 12-hour digital clock displaying only the hours and minutes.

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Answer:

A: 236 sqaure ft.

B: 4 cans

Step-by-step explanation:

Sure, I can help you with that.

Part A:

The total surface area of a rectangular prism is calculated using the following formula:

Total surface area = 2(lw + wh + lh)

where:

In this case, we have:

Plugging these values into the formula, we get:

Total surface area = 2(8*6+6*5+8*5) = 236 square feet

Therefore, the total surface area of the doghouse is 236 square feet.

Part B:

Since the bottom of the doghouse will not be painted, we only need to paint the top, front, back, and two sides.

The total surface area of these sides is 236-6*8 = 188 square feet.

Therefore,

we need 188 ÷ 50 = 3.76 cans of paint to paint the doghouse.

Since we cannot buy 0.76 of a can of paint, we need to buy 4 cans of paint.

Answer:

A)  236 ft²

B)  4 cans of paint

Step-by-step explanation:

The given diagram (attached) shows the doghouse modelled as a rectangular prism with the following dimensions:

The formula for the total surface area of a rectangular prism is:

\(S.A.=2(wl+hl+hw)\)

where w is the width, l is the length, and h is the height.

To find the total surface area of the doghouse, substitute the given values of w, l and h into the formula:

\(\begin{aligned}\textsf{Total\;surface\;area}&=2(6 \cdot 8+5 \cdot 8+5 \cdot 6)\\&=2(48+40+30)\\&=2(118)\\&=236\; \sf ft^2\end{aligned}\)

Therefore, the total surface area of the doghouse is 236 ft².

\(\hrulefill\)

As the bottom of the doghouse will not be painted, to find the total surface area to be painted, subtract the area of the base from the total surface area:

\(\begin{aligned}\textsf{Area\;to\;be\;painted}&=\sf Total\;surface\;area-Area\;of\;base\\&=236-(8 \cdot 6)\\&=236-48\\&=188\; \sf ft^2\end{aligned}\)

Therefore, the total surface area to be painted is 188 ft².

If one can of paint will cover 50 ft², to calculate how many cans of paint are needed to paint the doghouse, divide the total surface area to be painted by 50 ft², and round up to the nearest whole number:

\(\begin{aligned}\textsf{Cans\;of\;paint\;needed}&=\sf \dfrac{188\;ft^2}{50\;ft^2}\\\\ &= \sf 3.76\\\\&=\sf 4\;(nearest\;whole\;number)\end{aligned}\)

Therefore, 4 cans of paint are needed to paint the doghouse.

Note: Rounding 3.76 to the nearest whole number means rounding up to 4. However, even if the number of paint cans needed was nearer to 3, e.g. 3.2, we would still need to round up to 4 cans, else we would not have enough paint.

Answer:

heyyyyyyyyyyyyyyy

Step-by-step explanation:

Answer:

sheeshhhhhhhhhhhhh    

;)

Step-by-step explanation:

daddy chill

The limit of (2x-1)(3-x)/(x-1)(x+3) as x approaches infinity is 0.

To find the limit of the function (2x-1)(3-x)/(x-1)(x+3) as x approaches infinity, we will divide both the numerator and denominator through the highest power of x. In this case, the highest power of x is x², so we can divide both the numerator & the denominator through x²:

\([(2x-1)/(x^2)] * [(3-x)/((x-1)/(x^2)(x+3))]\)

Now, as x approaches infinity, every of the fractions within the expression procedures zero except for (2x-1)/(x²). This fraction techniques 0 as x procedures infinity because the denominator grows quicker than the numerator. therefore, the limit of the expression as x strategies infinity is:

0 * 0 = 0

Consequently, When x gets closer to infinity, the limit of (2x-1)(3-x)/(x-1)(x+3) is 0.

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Answer:

I think its 180

Step-by-step explanation:

Answer:

Let's identify what we know and what we are looking for. To start off, the question states that there is a flat rate of 500. This is the y intercept, because you start off with 500. It also states that it charges a fee of 50 per hour, which is your slope. So what we have now is y=50x+500. We know that A is asking how much it will be for 20 hours. We simply plug 20 into x, so we do y=50(20)+500 which gives 1500. For C, we repeat the same step and just plug in 50.

Answer:

Huong invests $4,817 in a savings account with a fixed annual interest rate of 3% compounded 2 times per year. This means that the interest is calculated every 6 months and added to the principal amount. The interest rate for each 6-month period is 1.5%.

After 12 years, the account balance will be:

$4,817 * (1 + 0.015)^24 = $6,245.46

The account balance will be $6,245.46 after 12 years.

Answer:

I don't know sorry but I really want brainliest

The answer is 1.5(a -3)

To arrange the consumer's budget constraint into slope-intercept form, we express it as y = mx + b, where y is the budget, x is the quantity, m is the slope, and b is the vertical intercept.

The consumer's budget constraint can be represented as:

I = p1x1 + p2x2

Rearranging the equation, we can isolate the dependent variable on one side:

p2x2 = I - p1x1

Dividing both sides by p2:

x2 = (I/p2) - (p1/p2)x1

Now the equation is in slope-intercept form, where:

y = x2

m = -(p1/p2)

x = x1

b = (I/p2)

Therefore, the vertical intercept (b) equals (I/p2).

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If the value of "a" in the quadratic function f(x) = 4x^2 + bx + c is 4, the function will have an upward-opening parabola and a positive leading coefficient.

If the value of "a" in the quadratic function f(x) = ax^2 + bx + c is 4, the function will have certain characteristics. Let's explore them in detail:

Vertex: The vertex of a quadratic function with the form f(x) = ax^2 + bx + c is given by the coordinates (-b/2a, f(-b/2a)). Since the coefficient "a" is positive (a = 4), the parabola opens upwards. Thus, the vertex will be the minimum point of the parabola.

Axis of Symmetry: The axis of symmetry is a vertical line that passes through the vertex of the parabola. In this case, the equation for the axis of symmetry is x = -b/2a.

Discriminant: The discriminant of a quadratic function is given by the expression b^2 - 4ac. It helps determine the nature of the roots of the quadratic equation. If the discriminant is positive, the quadratic equation has two distinct real roots. If it is zero, there is one real root (a perfect square). And if it is negative, the equation has two complex roots (conjugate pairs).

Shape of the Parabola: Since "a" is positive (a = 4), the parabola will open upwards. This means the y-values of the quadratic function will increase as x moves away from the vertex in either direction.

Overall, with a value of 4 for "a" in the quadratic function f(x) = ax^2 + bx + c:

The parabola opens upwards.

The vertex will be the minimum point of the parabola.

The axis of symmetry is given by x = -b/8.

The discriminant can be calculated using b^2 - 4ac to determine the nature of the roots.

The y-values of the quadratic function increase as x moves away from the vertex in either direction.

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The equation is, y = x-2

The table showing the values of x and y is:

x    1    2    3    4

y    -1   0    1     2

From the question, we have

y increases by 1 unit with 1 unit increase in x.

The equation is, y = x-2

Subtraction:

Subtraction serves as a representation for the act of removing items from a collection. The negative symbol stands for subtraction. For example, if four of the nine oranges that are stacked together (as in the above illustration) are then transported to a basket, the stack will now contain five oranges rather than nine. Therefore, the difference between 9 and 4 is 5, which equals 9 minus 4. In addition to applying it to natural numbers, subtraction can also be used with other kinds of numbers. The letter "-" represents subtraction. Minuend, subtrahend, and difference are the three numerical components that make up the subtraction operation.

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Question:

Solution:

The population growth is given by the following equation:

where P represents the number of individuals and t represents the number of years from the time of introduction. Now, if we have a population of 5656 fish, then the above equation becomes:

this is equivalent to:

this is equivalent to:

this is equivalent to:

now, the inverse function of the root function is the exponential function. So that, we can apply the exponential function to the previous equation:

this is equivalent to:

this is equivalent to:

now, we can apply the properties of the logarithms to the previous equation:

this is equivalent to:

we can conclude that the correct answer is:

9 years

Answer:

This represents 3 and one-third divided by two-thirds because 10/3 = 3 and 1/3.

Answer:

It is 3 and 1/3 divided by 2/3.  None of the choices given work.

Hope it helps <3

Answer:

y = 2/5x + 3

Step-by-step explanation:

The equation form/structure is y = mx + b.

m is the slope and b is the y-intercept

So to put it in an equation, it would be y = 2/5x + 3.

Answer:

D

Step-by-step explanation:

Option A doesn't give any statistical data, B is the same as A, and C doesn't show accurately how many students replied yes or no.

The reason that best supports Statement 4 in the

given proof is option A. Addition Property of Equality

The statement 4, "4x + 18 = 78," is an equation that is being derived from the previous statements in the proof. The left side of the equation (4x + 18) represents the value of m/X, which was given as 4x + 18 in statement 2.

The right side of the equation (78) represents the value of m2Y, which was given as 78° in statement 3.

Therefore, statement 4 is derived by substituting the known values of m/X and m2Y into the equation m/X = m2Y, which was given as statement 1.

The reason for this substitution is the Addition Property of Equality, which states that if you add the same value to both sides of an equation, the two sides remain equal.

In this case, the same value (4x + 18) is being added to both sides of the equation m/X = m2Y, resulting in the equation 4x + 18 = 78.

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