A system of two linear equations is graphed on a coordinate plane. if the system of equations has infinitely many solutions, which statement must be true? A On the graph, there are no points (x,y)\left(x,y\right)(x,y) that satisfy both equations. B On the graph, there is exactly one point (x,y)\left(x,y\right)(x,y) that satisfies both the equations. C On the graph, any point (x,y)\left(x,y\right)(x,y) that satisfies one of the equations cannot satisfy the other equation. D On the graph, any point (x,y)\left(x,y\right)(x,y) that satisfies one of the equations must also satisfy the other equation.

Answer:

XDDDDDDDDDDDDDDDDDDDDDDDDDD

Step-by-step explanation:

LOL

Answer:

z/4 or 4/z i think or z divided by 4

Step-by-step explanation:

Yes, if a figure can be rotated 360° to be mapped onto itself, it is considered to have rotational symmetry.

This is because a 360° rotation means that the figure will return to its original position, making it symmetrical. Rotational symmetry is a type of symmetry where a figure can be rotated about a central point and still look the same. The degree of rotational symmetry depends on the number of times a figure can be rotated to match its original appearance. Therefore, if a figure can be rotated 360° and maintain its original appearance, it is said to have rotational symmetry of degree 1. This is true regardless of the size, orientation, or position of the figure. Yes, a figure that can be rotated 360° to be mapped onto itself is considered to have rotational symmetry. Rotational symmetry occurs when an object can be rotated around a central point and still appear the same as its original position. In the case of a 360° rotation, the figure returns to its initial configuration, confirming its rotational symmetry.

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The linking number of the circular DNA plasmid in its relaxed circular form is equal to 38700.

The linking number (Lk) of a circular DNA molecule is a topological property that represents the number of times the two strands of the DNA helix are intertwined around each other.

For a relaxed circular DNA molecule, the linking number is simply equal to the number of times the two strands cross each other.

The linking number of a circular DNA molecule can be calculated using the following equation:

Lk = (Tw + Wr)/Tw

Where Tw is the number of turns in the double helix and Wr is the number of times the DNA strands are wound around each other in a supercoiled state.

For a relaxed circular DNA molecule, the supercoiling is zero (Wr = 0), so the linking number is equal to the number of turns in the double helix (Tw).

The number of turns in the double helix can be calculated using the following equation:

Tw = Lk + Wr

Since Wr is zero for a relaxed circular DNA molecule, we can simplify the equation to:

Tw = Lk

We are given that the length of the circular DNA plasmid is 3150 base pairs. The number of turns in the double helix can be calculated using the formula:

Tw = (L × 360°) / (n × bp)

Where L is the length of the DNA molecule, n is the number of base pairs per turn (10.5 for B-DNA), and bp is the length of each base pair (0.34 nm).

Substituting the given values, we get:

Tw = (3150 × 360°) / (10.5 × 0.34 × 1\(0^-9 m)\)

Tw = 38700 turns

Therefore, the linking number of the circular DNA plasmid in its relaxed circular form is equal to 38700.

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Answer:

1.98 x 10³  

Step-by-step explanation:

1980  

= 1.98 x 1000   (note 1000 can be written as 10³)

= 1.98 x 10³   (answer)

A two-sample proportion test is used to analyze whether "liking cats" is a different proportion for males vs. females at the 0.10 level of significance. The p-value is the probability of obtaining a test statistic as extreme as the observed one.

To analyze whether "liking cats" is a different proportion for males vs. females at the 0.10 level of significance, we can use a two-sample proportion test. Here are the steps to perform the analysis:

Step 1: State the hypotheses The null hypothesis (H0) is that there is no difference in the proportion of males and females who like cats. The alternative hypothesis (Ha) is that there is a difference in the proportion of males and females who like cats.H0: p1 = p2Ha: p1 ≠ p2, where p1 is the proportion of males who like cats and p2 is the proportion of females who like cats.

Step 2: Check the assumptions Before proceeding with the test, we need to check whether the assumptions are met. The following assumptions must be satisfied: Independence: The samples of males and females must be independent of each other. This means that the response of one person should not influence the response of another person. Randomness: The samples of males and females must be selected randomly from the population. Success-Failure Condition: Both samples must have at least 10 successes and 10 failures.

Step 3: Calculate the test statisticWe can use the following formula to calculate the test statistic:

\(z = (p1 - p2) / sqrt(p_hat * (1 - p_hat) * (1/n1 + 1/n2))\) , where p_hat is the pooled proportion, n1 is the sample size of males, and n2 is the sample size of females.p_hat = (x1 + x2) / (n1 + n2), where x1 is the number of males who like cats, and x2 is the number of females who like cats.

Step 4: Find the p-valueThe p-value is the probability of obtaining a test statistic as extreme as the one we observed, assuming the null hypothesis is true. We can find the p-value using a normal distribution table or a calculator. The p-value for a two-tailed test is:P-value = P(z < -z_alpha/2) + P(z > z_alpha/2), where z_alpha/2 is the z-value corresponding to the level of significance alpha/2.

Step 5: Make a decision and interpret the resultsFinally, we compare the p-value to the level of significance alpha. If the p-value is less than alpha, we reject the null hypothesis and conclude that there is evidence of a difference in the proportion of males and females who like cats. If the p-value is greater than alpha, we fail to reject the null hypothesis and conclude that there is not enough evidence to support a difference in the proportion of males and females who like cats.

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Answer:

$16

Step-by-step explanation:

If 3 rides cost $28 and 6 rides cost 40, each ride costs $4. 28 - (3 x 4) = $16 admission fee

Answer: eggplant, Garlic, Brussels sprouts, Kale, Green peas, Swiss chard.

Step-by-step explanation:

The equilibrium price is $0 and the equilibrium quantity is 5 units.

To find the equilibrium price and quantity, we need to set the quantity demanded equal to the quantity supplied and solve for the equilibrium values.

Setting Q_d = Q_s, we can equate the equations for demand and supply:

-2Q - 2Q_d = -5 + 3Q_s

Since we know that Q_d = Q_s, we can substitute Q_s for Q_d:

-2Q - 2Q_s = -5 + 3Q_s

Now, let's solve for Q_s:

-2Q - 2Q_s = -5 + 3Q_s

Combine like terms:

-2Q - 2Q_s = 3Q_s - 5

Add 2Q_s to both sides:

-2Q = 5Q_s - 5

Add 2Q to both sides:

5Q_s - 2Q = 5

Factor out Q_s:

Q_s(5 - 2) = 5

Q_s(3) = 5

Q_s = 5/3

Now that we have the value for Q_s, we can substitute it back into either the demand or supply equation to find the equilibrium price. Let's use the supply equation:

P = -5 + 3Q_s

P = -5 + 3(5/3)

P = -5 + 5

P = 0

Therefore, the equilibrium price is $0 and the equilibrium quantity is 5 units.

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The cost of fencing the semicircular statutory garden is $616.80

The problem is requires fencing of a semicircular garden

The perimeter of a semicircle is given by the formula

= 1/2 ( πd ) + d

d = diameter = 30 feet

π = 3.14

calculating the perimeter

perimeter of the semicircle = 1/2 ( πd ) + d

perimeter of the semicircle = 1/2 ( π * 30 )+ 30

perimeter of the semicircle = 15π + 30

perimeter of the semicircle = 15 * 3.14 + 30

perimeter of the semicircle = 77.1

cost of the material

= perimeter of the garden * cost per linear foot

= 77.1 * 8

= $616.8

the cost of fencing the garden is calculated to be $616.80

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Answer: No, -0.0022 is not less that -0.022

Step-by-step explanation:

1. We know that the bigger the negative number the lesser it is ( 0.022 is a bigger number than 0.0022) but since it's a negative number it's less in value.

Answer:

9x

Step-by-step explanation:

Think of a cake as a very short cylinder.  Volume of a cylinder=πr²h

small cake:  V = π(8/2)²(3) = 151 in³

large cake:  V=  π(24/2)²(3) = 1357 in³

1357/151  ≈ 9

large cake is 9 time greater in volume than the small cake

shortcut solution:  24/8 = 3,    3² = 9

Answer:

5/6

Step-by-step explanation:

The results of previous dice rolls don't have any effect on the result the next time the die is rolled.

The relative frequency of getting a 5 on the next roll is 5/6

Relative frequency is the ratio of the considered sub group's count to the total count. (so its frequency of the considered sub group relative to the total frequency). Conditional relative frequency is relative frequency conditional to some special characteristic.

We are given that a fair die is rolled 25 times. it landed on the number 5 eight times.

We need to find the relative frequency of getting a 5 on the next roll

relative frequency = 5/6

The results of previous dice rolls that have any effect on the result the next time the die is rolled.

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Answer:

NO

1,2,3,6

Step-by-step explanation:

THOSE ARE CORRECT

√8=2.8

Answer:

c

Step-by-step explanation:

The given surface is the pyramid and the area of the pyramid is \(301.98978\).

The formula to calculate the total surface area of a triangular pyramid is\(\frac{1}{2} (a*b)+\frac{3}{2}(b*s)\)

Calculate the area of each triangular face. This can be done using the formula for the area of a triangle: \(\frac{1}{2} bh\), where b is the base of the triangle and h is the height of the triangle.

In this case, the base is one of the sides of the base triangle, and the height is the slant height of the pyramid.

Add up the areas of all the triangular faces and the area of the base to get the total surface area of the pyramid.

Add the area of the square.

Therefore the  given surface is the pyramid and the area of the pyramid is \(301.98978\).

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Data for the question :

1 3/4, 2 1/2, 2, 2 3/4, 1, 1 3/4, 1 1/4, 3, 3 1/4, 3 3/4, 2, 2

Answer:

Julie is Incorrect

Step-by-step explanation:

Given the data:

1 3/4, 2 1/2, 2, 2 3/4, 1, 1 3/4, 1 1/4, 3, 3 1/4, 3 3/4, 2, 2

The least amount of time spent is : 1

The most amount of time spent is 3 3/4

According to Julie ; the most amount of time spent is equal to 1 1/2 the least amount of time spent.

That is,

3 3/4 = 1 * 1 1/2

3 3/4 = 15/4

1 * 3/2 = 3/2

Hence, she is incorrect ;

15/4 ≠ 3/2

Answer:

The range of the graph is:

-3 ≤ y ≤ 3

Hence, option (B) is correct.

Step-by-step explanation:

We know that the range of a function is the set of values of the dependent variable 'y' for which a function is defined.

From the given graph, it is clear that the graph goes down at y=-3 and then goes up to y=3  and then goes down again.

In fact, this indicates that the range of the graph lies between y=-3 to y=3

Therefore, the range of the graph is:

-3 ≤ y ≤ 3

Hence, option (B) is correct.

The 2 unknown numbers are 4 and 5 .

Let the numbers be x and x + 1.

From the given information,

\(\dashrightarrow\sf \ \ \ x^2 + (x + 1)^2 = 41 \\ \\ \\ \)

\(\dashrightarrow\sf \ \ \ 2 {x}^{2} + 2x + 1 = 41 \\ \\ \\ \)

\(\dashrightarrow\sf \ \ \ 2 {x}^{2} + 2x + 1 - 41=0 \\ \\ \\ \)

\(\dashrightarrow\sf \ \ \ {x}^{2} + x - 20 = 0 \\ \\ \\ \)

\(\dashrightarrow\sf \ \ \ (x + 5)(x - 4)=0 \\ \\ \\ \)

\(\dashrightarrow\sf \ \ \ { \underline{ \boxed{ \bf{ \red{x = - 5,4}}}}} \ \bigstar \\ \\ \)

But, as we know -5 is not a natural number,

Hence, x = 4 .

So the 2 unknown numbers are :

★ Solution :

Let the number be x and x + 1.

\(\rule{130}1\)

\(\underline{ \large \purple{ \mathscr{\dag\:A \bf{ccording} \: to \: \mathscr {Q} \bf{uestion} ....}}}\)

\(:\implies\sf x^2 + (x + 1)^2 = 41 \\\\\\:\implies\sf 2x^2 + 2x + 1 - 41 = 0\\\\\\:\implies\sf 2x^2 + 2x + 40 = 0\\\\\\:\implies\sf x^2 + x - 20 = 0\\\\\\:\implies\sf x^2 + x - 20 = 0\\\\\\:\implies\sf x^2 + x - 20 = 0\\\\\\:\implies\sf x^2 + 5x - 4x - 20 = 0\\\\\\:\implies\sf x(x + 5) - 4(x + 5) = 0\\\\\\:\implies\sf (x + 5)(x - 4) = 0\\\\\\:\implies\underline{\boxed{\sf x = -5, 4}}\)

⠀

We know that -5 is not a natural number. Hence, x = 4.

\(\therefore\:\underline{\textsf{The two consecutive natural number is \textbf{4 and 5}}}.\)

The surface area of building with the skyview is found as 331.625 sq. yd.

A solid shape having six square faces is called a cube. Because every square face shares a comparable side length, each face is the same size. A cube has 8 vertices and 12 edges. An intersection of three cube edges is referred to as a vertex.

Total area = TSA of cuboid + CSA of hemisphere - area of circle

Total area = 2(lb + bh + hl) + 2πr² - πr²

Total area = 2(6*10 + 10*6 + 6*6) + 2*3.14*2.5² - 3.14*2.5²

On simplification:

Total area = 331.625

Thus, surface area of the building with the skyview is found as 331.625 sq. yd.

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Step-by-step explanation:

ram is true because when 2.5 is multiplied to .5 centimeters then answered becomes 12.5 centimeters square

The correct option is the fourth one, the slope and y-intercept are different.

Here we have the linear equation:

3x - 5y = 4

We know that it is dilated by a scale factor of 5/3, so let's find the dilation.

We can rewrite the linear equation as:

-5y = 4 - 3x

y =  (3/5)x - 4/5

Now let's apply the dilation:

y = (5/3)*[ (3/5)x - 4/5]

y = x - 4/3

Then we can see that the slope and the y-intercept are different, the correct option is 4.

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If a scatter plot displays data that shows a positive correlation, then the correlation coefficient will be closest to +1.

The correlation coefficient is a numerical measure of the strength and direction of the linear relationship between two variables. It ranges from -1 to +1, with -1 indicating a perfect negative correlation, +1 indicating a perfect positive correlation, and 0 indicating no correlation.

Since the scatter plot displays data that shows a positive correlation, the correlation coefficient will be positive and closer to +1 than to 0 or -1. The exact value will depend on the strength of the correlation. If the data points are tightly clustered around a straight line, the correlation coefficient will be closer to +1, indicating a strong positive correlation. If the data points are more spread out, the correlation coefficient will be smaller, but still positive, indicating a weaker positive correlation.

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The converse of the statement "If a figure is a square, its diagonals divide it into isosceles triangles" would be:

"If a figure's diagonals divide it into isosceles triangles, then the figure is a square."

The converse statement is not necessarily true. While it is true that in a square, the diagonals divide it into isosceles triangles, the converse does not hold. There are other shapes, such as rectangles and rhombuses, whose diagonals also divide them into isosceles triangles, but they are not squares. Therefore, the converse of the statement is not always true.

Therefore, the converse of the given statement is not true. The existence of diagonals dividing a figure into isosceles triangles does not guarantee that the figure is a square. It is possible for other shapes to exhibit this property as well.

In conclusion, the converse statement does not hold for all figures. It is important to note that the converse of a true statement is not always true, and separate analysis is required to determine the validity of the converse in specific cases.

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Answer:

960

Step-by-step explanation:

Boom! If I get this wrong I am bad.... :(

Answer:

960

Step-by-step explanation:

I took the test look