17
The points (0, 1) and (1, 4) are contained in the graph of an equation with only two variables, z and y.
Select all of the true statements.
There is exactly one equation in the form y = mx + b that contains these points.
B
There are two equations in the form y = mx + b that contain these points.
c
There are no equations in the form y = a. 6² that contain these points.
D There is exactly one equation in the form y = a b
that contains these points.
E There is more than one equation in the form y = a
b that contains these points.

The nearest whole number after rounding is, 14

Rounding a number to the nearest tenth means finding the nearest multiple of 0.1.

To do this, you need to look at the digit in the hundredths place (the second digit after the decimal point) of the number you want to round.

If that digit is 5 or greater, you round the number up by adding 0.1 to the nearest whole number.

If that digit is 4 or less, you round the number down by leaving the nearest whole number unchanged.

For example, rounding 3.456 to the nearest tenth gives 3.5, while rounding 3.444 to the nearest tenth gives 3.4.

Given that,

The decimal number  13.5,

after using rules of rounding,

it can be rounded as 14

Hence, the nearest whole number is 14

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The exists no solution for which the water depth 14 feet in the ocean near the shore.

We determine the function's period since that is the number of it takes hours for the ocean to return to its original depth of a specific number of feet.

The function's duration is 2π/ (π/6.2) = 12.4 hours.

When t = 0, midnight, or 12:00AM, it is low tide.

As a result, the next low tide will occur at 12:24 PM, or t = 12.4, 12.4 hours from now.

A high tide will occur halfway between those two low tides, at t=6.2 hours after midnight, or at 6:12AM.

Another high tide will occur at t=18.6 hours after midnight, or at 6:36 PM, 12.4 hours later.

If t = 0 is used in the equation, the low tide occurs at that time;

d = 35 - 28cos(pi/6.2)t

d = 35-28cos(pi/6.2)0

d = 35-28cos(0)

d = 35-28(1)

d - 35-28

d = 7

Therefore, there will never be 4 feet there because the lowest depth that may exist is 7 feet.

Thus, the exists no solution for which the water depth 14 feet in the ocean near the shore.

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Answer:

0.8 lessons per day

Step-by-step explanation: Times 6 by 30 then divide 150 by 180 and you get your answer. If you need to round if would be 1 lesson per day

Answer:

12

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

x=1 g(x)=-10

x=2 g(x)=-12

x=3 g(x)=-14

f(x)=x+4

=＞ g(x)=-2·(x+4)

Answer:

388

Step-by-step explanation:

4+6x64

multiply 6 and 64

6 times 64 = 384

Add 4 to 384

384+4=388

Answer:

Easy

problem: 4+6x64

and next: multiply 6 and 64 = = 384

Add 4 to the answer 384 + 4  = 388

384+4=388

Step-by-step explanation:

Hopes this helps and brainlest please!

Answer:

x = -5

Step-by-step explanation:

9 - 19 = 9x - 7x

2x = -10

The maximum burn rate ∣ΔM/Δt∣ that the engine could reach before the ship's acceleration exceeded 5 g and its human occupants began to lose consciousness is approximately 51.0 kg/s.

Acceleration is directly proportional to the force acting on an object. In simple terms, if the force on an object is greater, then it will undergo more acceleration. However, there are limitations to the acceleration that can be tolerated by the human body. At about 5 g (49.0 m/s2) for more than a few seconds, an average person starts to lose consciousness. Let's use this information to answer the given question.

Let the maximum burn rate |ΔM/Δt| that the engine could reach before the ship's acceleration exceeded 5 g be x.

Let the mass of the spaceship be m and the exhaust speed of the engine be v.

Using the formula for the thrust of a rocket,

T = (mv)e

After substituting the given values into the formula for thrust, we get:

T = (3.00 × 104)(2.50 × 103) = 7.50 × 107 N

Therefore, the acceleration produced by the engine, a is given by the formula below:

F = ma

Therefore,

a = F/m= 7.50 × 107/3.00 × 104= 2.50 × 103 m/s²

The maximum burn rate that the engine could reach before the ship's acceleration exceeded 5 g is equal to the acceleration that would be produced by a maximum burn rate. Therefore,

x = a/5g= 2.50 × 103/(5 × 9.8)≈ 51.0 kg/s

Therefore, the maximum burn rate ∣ΔM/Δt∣ that the engine could reach before the ship's acceleration exceeded 5 g and its human occupants began to lose consciousness is approximately 51.0 kg/s.

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The center of a normal curve is the mean of the distribution, making option C the right choice.

A normal distribution—also known as the bell curve or De Moivre distribution—occurs naturally in a variety of circumstances. Bell curve symmetry is present. The data will split in two, falling half to the left and half to the right of the mean.

The characteristics of a normal curve are as follows:

Thus, the center of a normal curve is the mean of the distribution, making option C the right choice.

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Answer: A

Step-by-step explanation:

The sum of m and p --> (m + p)

(Because sum means addition)

Multiply 3 by --> × 3

--

Combined that would be either:

3 × (m + p)

or

(m + p) × 3 --> which is option A

Have a good day :)

option A.(m+p)×3

is the correct answer

hope it helps you have a good day

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The figure depicts right triangles within a rectangle. In order to complete the statements correctly, we need to analyze the relationships between the sides of the triangles and the sides of the rectangle.

In the figure, the right triangles are formed by drawing diagonal lines inside the rectangle. Let's consider the statements one by one:

The hypotenuse of each right triangle is a side of the rectangle: This statement is true. In a right triangle, the hypotenuse is the longest side and it coincides with one of the sides of the rectangle.

The area of each right triangle is half the area of the rectangle: This statement is true. The area of a right triangle can be calculated using the formula A = (1/2) * base * height. Since the base and height of each right triangle correspond to the sides of the rectangle, the area of each right triangle is half the area of the rectangle.

The sum of the areas of the right triangles is equal to the area of the rectangle: This statement is true. Since each right triangle's area is half the area of the rectangle, the sum of the areas of all the right triangles will be equal to the area of the rectangle.

By understanding the properties of right triangles and rectangles, we can correctly complete the statements in the given figure.

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Answer: The sales tax rate is 3%.

Step-by-step explanation: $12.90 is 3% of $430.

The sales tax rate is approximately 3%.

To find the sales tax rate, we can divide the amount of sales tax by the cost of the item before tax, and then multiply by 100 to express it as a percentage.

Given that the item costs $430 before tax and the sales tax is $12.90, we can calculate the sales tax rate as follows:

Sales tax rate = (Sales tax / Cost before tax) * 100

Sales tax rate = ($12.90 / $430) * 100

Sales tax rate ≈ 0.03 * 100

Sales tax rate ≈ 3%

Therefore, the sales tax rate is approximately 3%.

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Answer:

x = 1

Step-by-step explanation:

The vertex of the graph is (1, - 3 )

The axis of symmetry is a vertical line passing through the vertex with equation

x = c

where c is the value of the x- coordinate of the vertex , that is

x = 1 ← equation of axis of symmetry

Answe

Step-by-step explanation:

By using the fact that EBC and ABE are supplementary angles, we will see that the measure of angle EBF is 106 degrees.

First, we can notice that angles EBC and ABE are supplementary angles, which means that their measures add up to 180°.

Then we can write:

m∠EBC + m∠ABE = 180°

Replacing what we know we get:

3y + 10 + 2y - 20 = 180°

Now we can solve this linear equation for y, we will get:

5y - 10 = 180

5y = 180 + 10

y = 190/5 = 38

Then we have that:

EBC = 3*38 + 10 = 124°

ABE = 2*38 - 20 = 56°

Now, in the image it says that:

ABE = 2b = 56°

then b = 56°/2 = 28°

And ABF = 7b - 24 = 162°

Then:

EBF = ABF - ABE = 162° - 56° = 106°

We conclude that the measure of angle EBF is 106 degrees.

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When using a one-way within-groups ANOVA, the variability due to individual differences is reduced, resulting in a more accurate assessment of the effect of the independent variable on the dependent variable.

To minimize the variation between individuals, their scores are evaluated within the same group rather than comparing them across different groups.

The within-groups ANOVA method utilizes identical individuals in different conditions or treatments to counteract personal variances, thereby enabling a more accurate measurement of the independent variable's impact.

By adopting this method, the analysis gains greater statistical strength, resulting in a more heightened aptitude to identify genuine effects of the independent factor on the dependent element.

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An exponential function. The explanation involves solving the differential equation f'(x) = kf(x) using separation of variables, and the long answer includes a more detailed derivation of the general solution.

If f(x) is a function whose derivative is a constant multiple of itself, then we can write this as:
f'(x) = kf(x)
where k is a constant. This is a first-order homogeneous differential equation, which has the general solution:
f(x) = Ce^(kx)
where C is a constant of integration. This is an exponential function.

To see why an exponential function is the solution to the differential equation f'(x) = kf(x), we can use the technique of separation of variables. We can write:
f'(x)/f(x) = k
Now we can integrate both sides with respect to x:
∫ f'(x)/f(x) dx = ∫ k dx
ln|f(x)| = kx + C
where C is another constant of integration. Solving for f(x), we get:
f(x) = Ce^(kx)
as before.
This means that any function of the form Ce^(kx) satisfies the differential equation f'(x) = kf(x), where k is a constant. This includes functions like 2e^(3x), 0.5e^(0.2x), and so on.

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The cosine of angle ABM is sqrt(2) / 4.Let's consider the regular tetrahedron ABCD with M being the midpoint of CD. We can use the properties of equilateral triangles to determine the cosine of angle ABM.

First, we can find the length of AM by considering the right triangle ABM. Since AB and BM are equal edges of the equilateral triangle ABM, we can use the Pythagorean theorem to find AM:

AM = sqrt(AB^2 - BM^2)

Next, we can find the length of AB by considering the equilateral triangle ABC. Since all sides of an equilateral triangle are equal, we have:

AB = BC = CD = DA

Now, we can use the dot product formula to find the cosine of angle ABM:

cos(ABM) = (AB . AM) / (|AB| |AM|)

where AB . AM is the dot product of vectors AB and AM, and |AB| and |AM| are the magnitudes of these vectors.Substituting the values we have found, we get:

cos(ABM) = [(AB^2 - BM^2) / 2AB] / [sqrt(AB^2 - BM^2) AB]

Simplifying this expression gives:

cos(ABM) = (1 - (BM/AB)^2) / (2 sqrt(1 - (BM/AB)^2))

Since the tetrahedron is regular, we know that AB = BC = CD = DA, and therefore BM = AD/2. Substituting these values, we get:

cos(ABM) = (1 - (1/4)^2) / (2 sqrt(1 - (1/4)^2))

Simplifying this expression gives:

cos(ABM) = sqrt(2) / 4.

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The cosine of angle ABM is square (2)/4. Consider the tetrahedron ABCD where M is the center of CD. We can use the product of equilateral triangles to determine the cosine of angle ABM.

First, we can find the length of AM from triangle ABM. Since AB and BM are equilateral triangles ABM, we can use the Pythagorean theorem to find AM:

AM = sqrt(AB^2 - BM^2)

which is the resolution.

Equilateral triangle ABC.

Since all sides of the triangle are equal:

AB = BC = CD = DA

Now, we can find the cosine of angle ABM using the dot property:

cos (ABM) = (AB .AM ) / (AB AM )

EU. AM is the product of the vectors AB and AM, AB and

AM is the magnitude of the vectors. Substituting the value we found, we get:

cos(ABM) = [(AB^2 - BM^2) / 2AB] / [sqrt(AB^2 - BM^2) AB], simplifying this expression to give:

cos(ABM) = (1 - (BM/AB)^2) / (2 sqrt(1 - (BM/AB)^2))

Since the tetrahedron is regular, we know AB = BC = CD = DA, BM = AD/2. Substituting these values, we get:

cos(ABM) = (1 - (1/4)^2) / (2 sqrt(1 - (1/4)^2))

Simplifies this expression to give:

cosine(ABM) = square root(2)/4.

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if we do a vertical line test on that graph, we'll find that a vertical line will pass by and hit the line only once on its way down, only once meaning the graph is the graph of a function.

well, is really how high and low it goes or namely over the y-axis.

well, it goes up up up to 3 then U-turns and back down it goes, now the graph has arrowheads, meaning the graph keeps on going towards infinity, vertically as well as horizontally since it's a parabola, so the range will be

well, is simply how left and right it goes or namely over the x-axis.

judging from the arrowheads it moves from infinity to infinity, so

By analyzing the degrees and leading coefficients, you can determine how the rational function behaves at the extreme ends of the x-axis.

To determine the end behavior of a rational function, you need to examine the degrees of the numerator and denominator polynomials. The end behavior refers to how the function behaves as the input (x-values) approaches positive or negative infinity.

Here are the steps to determine the end behavior of a rational function:

1. Identify the highest power of x in the numerator and denominator. Let's call them n and m, respectively.

2. If n < m, the degree of the denominator is greater than the numerator. In this case, the function's end behavior is determined by the degree of the denominator.

  - If m is even, the function approaches the horizontal axis (y = 0) as x approaches both positive and negative infinity.

  - If m is odd, the function approaches opposite infinities: positive infinity as x approaches negative infinity and negative infinity as x approaches positive infinity.

3. If n = m, the degree of the numerator is equal to the denominator. In this case, the leading coefficients of the numerator and denominator determine the end behavior.

  - The function approaches the ratio of the leading coefficients as x approaches both positive and negative infinity.

4. If n > m, the degree of the numerator is greater than the denominator. In this case, the function's end behavior is determined by the degree of the numerator.

  - If n is even, the function approaches positive infinity as x approaches both positive and negative infinity.

  - If n is odd, the function approaches opposite infinities: positive infinity as x approaches positive infinity and negative infinity as x approaches negative infinity.

By analyzing the degrees and leading coefficients, you can determine how the rational function behaves at the extreme ends of the x-axis.

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To estimate the integral √(ln(2)) ln(x) dx within an accuracy of 0.01 using upper and lower sums for a uniform partition of the interval [1, e], we need to divide the interval into at least n subintervals. The answer is obtained by finding the minimum value of n that satisfies the given accuracy condition.

We start by determining the interval [1, e], where e is approximately 2.718. The function ln(x)^2 is increasing, meaning that its values increase as x increases. To estimate the integral, we use upper and lower sums with a uniform partition. In this case, the width of each subinterval is (e - 1)/n, where n is the number of subintervals.

To find the minimum value of n that ensures the accuracy condition S - S < 0.01, we need to evaluate the difference between the upper sum (S) and the lower sum (S) for the given partition. The upper sum is the sum of the maximum values of the function within each subinterval, while the lower sum is the sum of the minimum values.

Since ln(x)^2 is increasing, the maximum value of ln(x)^2 within each subinterval occurs at the right endpoint. Therefore, the upper sum can be calculated as the sum of ln(e)^2, ln(e - (e - 1)/n)^2, ln(e - 2(e - 1)/n)^2, and so on, up to ln(e - (n - 1)(e - 1)/n)^2.

Similarly, the minimum value of ln(x)^2 within each subinterval occurs at the left endpoint. Therefore, the lower sum can be calculated as the sum of ln(1)^2, ln(1 + (e - 1)/n)^2, ln(1 + 2(e - 1)/n)^2, and so on, up to ln(1 + (n - 1)(e - 1)/n)^2.

We need to find the minimum value of n such that the difference between the upper sum and the lower sum is less than 0.01. This can be done by iteratively increasing the value of n until the condition is satisfied. Once the minimum value of n is determined, we have the required number of subintervals for the given accuracy.

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No, the statement "In spherical geometry, the sum of the angles in a triangle equals 180 degrees." is not true.

The term triangle in geometry refers the polygon with three vertices, sides and angle.

Here we have given the statement "in Euclidean geometry the sum of the angles in a triangle equals 180 degrees"

And we need to find whether this is this also true in spherical geometry.

Basically, the sum of the angles of a spherical triangle is not equal to 180°. Because, we know that the sphere is a curved surface, where locally the laws of the flat Euclidean geometry are good approximations.

Therefore, here in a small triangle on the face of the earth, then the sum of the angles is only slightly more than 180 degrees.

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Answer: I'd say reflection

Answer:

It is a reflection

Step-by-step explanation:

In Geometry, a reflection is known as a flip. A reflection is a mirror image of the shape. An image will reflect through a line, known as the line of reflection. A figure is said to reflect the other figure, and then every point in a figure is equidistant from each corresponding point in another figure.

Answer:

2/5

Step-by-step explanation:

6/10 simplified to 2/5

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The simplified form of the radical expression √121a⁹⁰ is 11a⁴⁵.

To simplify the given radical expression, we can break down the number 121 and the variable a⁹⁰ into their respective factors. The square root of 121 is 11 because 11 * 11 = 121. Similarly, we can simplify a⁹⁰ by dividing the exponent 90 by 2, which gives us a⁴⁵.

Therefore, the simplified form of √121a⁹⁰ is 11a⁴⁵.

In more detail, the number 121 is a perfect square, as it can be expressed as the square of 11. So, taking the square root of 121 yields the value 11.

Regarding the variable a⁹⁰, we can simplify the exponent 90 by dividing it by 2, resulting in a⁴⁵. This simplification is possible because raising a variable to an even exponent can be represented as the square of that variable raised to half the exponent.

Combining the simplified values, we get 11a⁴⁵ as the simplified form of √121a⁹⁰.

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The prime factorization of the number 21 is:

21 = 3*7

We want to write the prime factorization of 21.

To do so, we just need to divide the number by prime numbers.

The first prime number we can try is 2, if we divide by 2 we get:

21/2 = 10.5

This is not an integer, so 2 is not a factor.

The next one is 3:

21/3 = 7

Now we can rewrite:

21 = 3*7

Where 3 and 7 are prime numbers, so that is the prime factorization.

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Answer(s): This is for the Lab assignment. Although it may be different for everyone!

What is cosD, in simplest form?

A) 3/5

What is sinK?

A) 12/13

What is tanA?

D) 15/8

What is sinB?

B) 8/17

The volume of the hemisphere is 301.44mm²

Any circle drawn around the Earth that divides it into two equal halves is called a hemisphere. Examples is a ball cut into two part. Each part will be an hemisphere.

The volume of an hemisphere is expressed as;

V = 2/3πr³

where v is the volume and r is the radius

Here, r = 12mm

Therefore;

V = 2/3 × ×3.14 × 12²

V = 904.32/3

V = 301.44mm²

therefore the volume of the hemisphere is 301.44mm²

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