Michael typed 430 minutes in 5 minutes. If she continues at this rate, how many words could Michael type in 12 minutes?

Answer:

asdawdad

Step-by-step explanation:

Answer:

28.86338

Step-by-step explanation:

find the area of the whole circle and then divide by 3, since the shaded part is about 1/3 of the whole cricle.

Answer:

i know but 20c = 15m

Step-by-step explanation:

?

Answer:

-3 < x ≤ -1

Step-by-step explanation:

we know that

The solution of the graph is equal to the interval  

All real numbers greater than -3 and less than or equal to -1

so the combined inequality is equal to -3 < x ≤ -1!!!!

The statement a base class cannot contain a pointer to one of its derived classes is false because a base class can indeed contain a pointer to one of its derived classes.

In object-oriented programming, a base class can have a pointer to one of its derived classes. This is known as upcasting or polymorphism. Upcasting allows for the flexibility of treating derived class objects as instances of the base class.

By using pointers, a base class can refer to derived class objects and access their member functions and variables. This enables the base class to work with different derived classes without needing to know their specific types.

Pointers to derived classes can be stored in base class member variables or passed as function parameters. This allows for dynamic binding and the ability to invoke overridden functions based on the actual derived class type at runtime.

This concept is fundamental to achieving polymorphism and code reusability in object-oriented programming languages like C++ and Java. It facilitates the implementation of inheritance hierarchies and the ability to work with objects of different derived classes through a common base class interface.

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Explanation:

The weight of A is 2/3 that of B. This flips to saying "the weight of B is 3/2 that of A". Because 3/2 = 1.5, we can then have this equation

B = 1.5A

The statement "C is 75% the weight of D" leads to the equation

C = 0.75D

----------------------------

The sum of A and B is triple that of the sum of C and D, giving us this equation:

A+B = 3(C+D)

Plug in the previous two equations we found in the previous section. Afterward, solve for the variable "A".

A+B = 3(C+D)

A+1.5A = 3(0.75D+D)

2.5A = 3(1.75D)

A = 3(1.75D)/2.5

A = 2.1D

----------------------------

Let's revisit the first equation we set up, and then apply substitution like so:

B = 1.5A

B = 1.5*2.1D

B = 3.15D

----------------------------

There's a lot of equations to keep track of. The key equations are these:

A = 2.1D

B = 3.15D

C = 0.75D

The one common factor of all these equations is the variable "D". This will be useful when setting up the ratio A:B:C:D

We'll go from the ratio

A:B:C:D

to

2.1D:3.15D:0.75D:1D

afterward we can divide all four parts by the GCF variable D, to arrive at

2.1:3.15:0.75:1

----------------------------

This last section will focus on converting each part of that ratio into integers. This is done by multiplying all four parts by 100 (as shown in the 2nd step).

Then we divide all parts by the GCF 5 to get the final reduced ratio.

2.1:3.15:0.75:1

100*2.1:100*3.15:100*0.75:100*1

210:315:75:100

5*42:5*63:5*15:5*20

42:63:15:20

Answer: -1

Step-by-step explanation:

f(x)=-x-5

f(-4)=-(-4)-5

f(-4)=4-5

f(-4)=- 1

Answer:

in what sentence all i see is the letters no image above

If MX, MY, sX, and sY are known, the additional number that would be the most helpful to know for calculating the regression line for X and Y is r.

In the context of simple linear regression, r means the correlation between the predictor variable, x, and the response variable, y. And r² means the proportion of the variance in the response variable which can be explained by the predictor variable in the regression model.

It is also considered as denotation of the Pearson correlation coefficient, that is a measure of any linear trend between two variables. The value of r ranges between −1 and 1. When r = zero, it means that there is no linear association between the variables.

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Answer: ∞

Step-by-step explanation: ∞

Answer:

Step-by-step explanation:

You want to know if the binomial 2x³ -10x can be factored further than 2x(x² -5) and how you can tell.

Usually, when we say "factor p(x)", where p(x) is a polynomial, we mean we want it factored to factors that have integer coefficients. In many cases, the result will be a product of linear and/or quadratic factors. Here, ...

  2x³ -10x = 2x(x² -5) . . . . . is factored to integers

When we want the polynomial "factored completely", or "factored to linear factors" the restriction that coefficients be integers or real numbers is removed. The difference of squares can be factored further, but irrational values are required:

  = 2x(x -√5)(x +√5) . . . . . factored completely to linear factors

You can tell if further factoring is possible by looking at the roots of the non-linear factors in question. If those roots are rational, you can continue factoring. If they are irrational or complex, then the problem statement will tell you whether further factoring is desired.

__

Additional comment

Of course, you need to be familiar with methods of factoring and of determining the possible rational roots of a polynomial. (A good graphing calculator can help.)

Answer:

1331cm³

Step-by-step explanation:

Volume of a cube = s³

= 11³

= 1331cm³

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The distance from point A to point B is given as follows:

592.1 feet.

The three trigonometric ratios are the sine, the cosine and the tangent, and they are defined as follows:

For each angle, we have that:

Hence the position A is obtained as follows:

tan(9º) = 142/A

A = 142/tangent of 9 degrees

A = 896.6 feet.

The position B is obtained as follows:

tan(25º) = 142/B

B = 142/tangent of 25 degrees

B = 304.5 feet.

The distance from the two points is given as follows:

896.6 - 304.5 = 592.1 feet.

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Answer:

61 gallons

Step-by-step explanation:

16 cups per gallon: 976 cups/16 cups= 61 gallons

Answer:

61 gallons

Step-by-step explanation:

if you converted 976 cups to gallons, you would have 61 gallons.

P.S. your calculator should have volume calculations on it.

If the function passes through the origin, when x is equal to zero y must be equal to zero.

Replacing x=0 in the functions, we have:

Power function

y=(0)^n=0

We see that the power function must pass through the origin.

Root function

y=(0)^(1/n)=0

We see that the root function must pass through the origin.

Reciprocal function

y=1/0 = undefined

We see that the reciprocal function does not pass through the origin.

Exponential function

y=b^0=1

We see that the exponential function does not pass through the origin.

The answers are the options A and B.

Answer:

Answer:5.86÷12=0.5 in nearest penny

Step-by-step explanation:this number kind of problem u solve it using inversely proportional method one one quantity is decreasing which is the ounce

Step-by-step explanation:

Answer:

0.5

Step-by-step explanation:

Answer:118.6

Step-by-step explanation:

Answer:

  118.6°

Step-by-step explanation:

You want the value of the obtuse angle marked x in the triangle with sides 20, 23, and 37.

In the given triangle, the relevant formulation of the law of cosines is ...

  b² = a² +c² -2ac·cos(B)

Solving for angle B, we get ...

  B = arccos((a² +c² -b²)/(2ac))

  B = arccos((20² +23² -37²)/(2·20·23)) ≈ 118.6°

The value of x is about 118.6°.

Ben can plot the residuals, create a histogram and Q-Q plot, or use statistical tests such as the Shapiro-Wilk test.

To test for the normality of residuals in a multiple regression model, Ben can use several methods. Here are a few options:

Plot the residuals: Ben can create a scatter plot of the residuals against the predicted values. If the residuals are normally distributed, they should be evenly scattered around the zero line. If there is a pattern or if the residuals are skewed, this indicates non-normality.

Histogram and Q-Q plot: Ben can create a histogram of the residuals and compare it to a normal distribution. He can also create a Q-Q plot (quantile-quantile plot), which compares the quantiles of the residuals to the quantiles of a normal distribution. If the residuals are normally distributed, they should fall along the diagonal line in the Q-Q plot.

Statistical tests: Ben can use statistical tests to formally test for normality of residuals. One commonly used test is the Shapiro-Wilk test, which tests whether the residuals are drawn from a normal distribution. If the p-value is greater than 0.05, Ben can conclude that the residuals are normally distributed.

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The price of the book at the furniture store is $150

Given the parameters:

The price of book in the furniture store would be :

Hence, we have :

125 + (0.2 * 125)

125 + 25

= 150

Therefore, the price at the furniture store is $150

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A sphere thrown upward at a 45-degree angle to the horizontal in a classroom elastically bounces off the ceiling while still rising

At time t = 0, a sphere is launched with an initial velocity at a 45-degree angle to the horizontal in a classroom. The sphere follows a parabolic trajectory as it rises due to the upward component of its initial velocity and experiences the downward pull of gravity. While the sphere is still ascending, it reaches the ceiling and collides with it.

During the elastic collision, the sphere's motion is reversed. It rebounds off the ceiling, changing its direction but maintaining its kinetic energy. As a result, the sphere starts descending with the same speed it had before the collision but in the opposite direction. The angle of descent will also be 45 degrees to the horizontal, mirroring the angle of the initial launch.

Throughout the entire process, neglecting air resistance, the total mechanical energy of the sphere is conserved since the collision with the ceiling is elastic.

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The volume of the balloon is 32π/3 ft³, and the rate at which the surface area is increasing is 16π square feet per minute.

The volume V of a balloon is given as V = (4/3)πr³, where r is the radius of the balloon.

Differentiating both sides of the equation concerning time t, we get

dV/dt = 4πr²(dr/dt).

Here, dV/dt represents the rate at which the volume is changing, which is 4 ft³/min as given in the problem.

the volume is 32π/3 ft³, we can substitute these values into the equation

4 = 4πr²(dr/dt)

To simplifying, we have

r²(dr/dt) = 1/π

The surface area A of a balloon, we can use the formula

A = 4πr².

Differentiating both sides of the equation concerning time t, we get dA/dt = 8πr(dr/dt).

We need to find dA/dt when V = 32π/3 ft³.

From the volume formula, we know that V = (4/3)πr³. Setting V = 32π/3, we can solve for r

(4/3)πr³ = 32π/3

r³ = 8

r = 2

Now, substitute r = 2 into the equation for dA/dt

dA/dt = 8π(2)(dr/dt)

Substituting the value of dr/dt from earlier

dA/dt = 8π(2)(1/π)

dA/dt = 16π

Therefore, when the volume of the balloon is 32π/3 ft³, the rate at which the surface area is increasing is 16π square feet per minute.

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Answer: To find the tip amount in dollars for each order, you need to multiply the total bill amount by the tip percentage.

For the first order of 4 dishes, the total bill amount is $8 per dish * 4 dishes = $<<8*4=32>>32.

The tip amount is $32 * 20% = $6.40.

For the second order of 6 dishes, the total bill amount is $8 per dish * 6 dishes = $<<8*6=48>>48.

The tip amount is $48 * 14% = $6.72.

For the third order of 7 dishes, the total bill amount is $8 per dish * 7 dishes = $<<8*7=56>>56.

The tip amount is $56 * 11% = $6.16.

So, the tip amounts from least to greatest are $6.16, $6.40, and $6.72.

Answer:

1.b

2.c

Step-by-step explanation:

f(x)+g(x)

3x-2+6-4x

-x+4

4-x. addition is commutative

3x²*4x/(3x2*2x)

2

Answer:

first one is B

second one is c

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

8/2=4

Answer:

Infinitely many solutions are available for this equation

Step-by-step explanation:

In conclusion, the correct answer is d) Straight.

The correct answer is d) Straight.

In geometry, an angle is formed by two rays that have a common endpoint. Angles can be classified based on the measure of their degree. A straight angle measures 180 degrees, which is the same as a straight line. It is formed by two opposite rays that point in opposite directions, and they create a straight line.

Therefore, an angle that measures 180 degrees is called a straight angle. In a straight angle, the two rays point in opposite directions and form a straight line. This angle is not acute, obtuse, or right because it doesn't form a triangle, and the degree measure is not less than 90 degrees or greater than 90 degrees.

In conclusion, the correct answer is d) Straight.

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The first term of the infinite geometric series is 625.Let's dive deeper into the explanation.

We are given that the sum of the infinite geometric series is \(\( \frac{15625}{24} \)\)and the common ratio is\(\( \frac{1}{25} \).\)The formula for the sum of an infinite geometric series is \(\( S = \frac{a}{1 - r} \)\), where \( a \) is the first term and \( r \) is the common ratio.
Substituting the given values into the formula, we have \(\( \frac{15625}{24} = \frac{a}{1 - \frac{1}{25}} \).\)To find the value of \( a \), we need to isolate it on one side of the equation.
To do this, we can simplify the denominator on the right-hand side.\(\( 1 - \frac{1}{25} = \frac{25}{25} - \frac{1}{25} = \frac{24}{25} \).\)
Now, we have \(\( \frac{15625}{24} = \frac{a}{\frac{24}{25}} \).\) To divide by a fraction, we multiply by its reciprocal. So, we can rewrite the equation as \( \frac{15625}{24} \times\(\frac{25}{24} = a \).\)
Simplifying the right-hand side of the equation, we get \(\( \frac{625}{1} = a \).\)Therefore, the first term of the infinite geometric series is 625.
In conclusion, the first term of the given infinite geometric series is 625, which corresponds to option (a).



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Hello,

We have A(3, 5) and B(5, 6)

\(m=\frac{y_{B}-y_{A}}{x_{B}-x_{A}} =\frac{6-5}{5-3} =\frac{1}{2}\)  

We know the line contain the point (3, 5)

    y = 1/2x + b

⇔ 5 = 1/2 × 3 + b

⇔ 5 = 3/2 + b

⇔ 5 - 3/2 = b

⇔ b = 10/2 - 3/2

⇔ b = (10 - 3)/2

⇔ b = 7/2

\(\boxed{y = \frac{1}{2}x + \frac{7}{2} }\)

x = \(\sqrt{2+\sqrt{2+\sqrt{2+...} } }\) = 2

We have to find the value of x = \(\sqrt{2+\sqrt{2+\sqrt{2+...} } }\)

First take squares on both sides, then,

⇒ x² = 2 + \(\sqrt{2+\sqrt{2+\sqrt{2+...} } }\)

As the terms inside the square roots are non terminating, we can substitute x = \(\sqrt{2+\sqrt{2+\sqrt{2+...} } }\) into the above equation.

i.e.,  x² = 2 + x

⇒ x² - x -2 = 0

This is a quadratic equation which can be solved using factorization.

⇒  x²+(-2+1)x +(-2.1) = 0

⇒ (x-2)(x+1) = 0

So x = 2 or -1

But here the value of √2 is positive and square root of sum of positive numbers will always be positive.

So we can conclude that

x = \(\sqrt{2+\sqrt{2+\sqrt{2+...} } }\) = 2

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