fanny wants to spend an equal amount of money on presents for her friends if she has 62 dollars about how much money can she spend on each present

On solving the provided question, we can say that the new equation of the line is = (y +6) = 1/2(x-3) => x - 2y = 9

A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.

coordinates are (3, -6)

the perpendicular equation is y = -2x

so, m. the slope = 1/2

the new equation of the line is = (y +6) = 1/2(x-3)

2y + 12 = x = 3

x - 2y = 9

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There are 20.65% of the total number of students increased on the honor roll.

Percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100.

Here, For last year

         Total boys for honor roll = 100

          total girls for honor roll = 84

          total students for honor roll = 100+84 = 184

For present year,

      Boys for honor roll = 100 + 100X0.17 = 117

      Girls for honor roll = 84 + 84X0.25 = 105

      Total students = 117 + 105 = 222

Increment in total students = 222 - 184 = 38

% increment in total student = 38 X 100 / 184

                                                = 0.2065 X 100

                                                = 20.65 %

Thus, there are 20.65% of the total number of students increased on the honor roll.

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The physiological responses that occur in response to low blood levels of calcium are bones release calcium into the blood, the kidneys retain more calcium, intestines absorb more calcium

Calcium is a chemical element which plays an important role in building and maintaining strong bones. It also plays other significant roles in blood clotting, muscles contraction, and normal heart rhythms regulation, and nerve functions. Calcium ions are essential in several cellular processes and the body tightly regulates calcium levels within a narrow physiological range as relatively small changes can have dramatic effects, including heart failure, muscle and brain dysfunction, and even death. Blood calcium levels are regulated by parathyroid hormone (PTH), produced by the parathyroid glands. PTH is released in response to low blood calcium levels and improves calcium levels by targeting the skeleton, the kidneys, and the intestine. The physiological responses that occur in response to low blood levels of calcium are bones release calcium into the blood, the kidneys retain more calcium, intestines absorb more calcium

Note: The question is incomplete as it is missing options which are a) liver releases calcium into the blood. b) bones release calcium into the blood. c) kidneys retain more calcium. d) intestines absorb more calcium.

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Given that \(\(T(n)\) = \(10n^2-3n\)\) if (\(\(n=1\)\)), you have to prove it by induction. So, we have proved it by induction that  \($$\(T(n)=10n^2-3n\)$$\)  if ( n= 1). The given statement is true for all positive integers n

Let's do it below: The base case (n=1) is given as follows: \(T(1)\) =\(10\cdot 1^2-3\cdot 1\\&\)=\(7\end{aligned}$$\). This implies that \(\(T(1)\)\) holds true for the base case.

Now, let's assume that \(\(T(k)=10k^2-3k\)\) holds true for some arbitrary \(\(k\geq 1\).\)

Thus, for n=k+1, T(k+1) = \(10(k+1)^2-3(k+1)\\&\) = \(10(k^2+2k+1)-3k-3\\&\)=\(10k^2+20k+7k+7\\&\) = \(10k^2-3k+20k+7k+7\\&\) = \(T(k)+23k+7\\&\) = \((10k^2-3k)+23k+7\\&\) =  \(10(k+1)^2-3(k+1)\).

Therefore, we have proved that the statement holds true for n=k+1 as well. Hence, we have proved it by induction that  \($$\(T(n)=10n^2-3n\)$$\)  if (n=1). Therefore, the given statement is true for all positive integers n.

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Answer:

A) Yes

B) Yes

C) Yes

Step-by-step explanation:

A) Yes, the solution to 2 linear inequalities can be none when the 2 lines representing the 2 inequalities on a graph are parallel to each other and thus would never intersect at a point.

B) Yes the solution to 2 linear inequalities can be a single point when the 2 lines representing the 2 inequalities on a graph intersect at a single point.

C) Yes the solution to 2 linear inequalities can be infinite number of solutions when the 2 lines representing the 2 inequalities on a graph overlap each other thereby making just a single line whereby all the coordinates of both inequalities intersect each other.

Answer:

Step-by-step explanation:

The formula for the volume of a right circular cylinder is:

V = πr²h

where "r" is the radius of the base, "h" is the height, and π is the mathematical constant pi (approximately 3.14).

Substituting the given values, we get:

V = π(5)²(6)

V = 150π cubic inches

Since we are asked to give the volume in cubic inches and not in terms of pi, we can approximate π as 3.14 to get:

V ≈ 150(3.14) ≈ 471

Therefore, the volume of the cylinder is approximately 471 cubic inches, which is closest to option (d) 150.

The three points to plot for the equation 2y = 3x + 11 are (0, 5.5), (1, 7), and (-1, 4).

To graph the equation 2y = 3x + 11, we can choose any three points that satisfy the equation. Let's select three points and plot them on a coordinate plane:

Point 1:

Let's set x = 0 and solve for y:

2y = 3(0) + 11

2y = 0 + 11

2y = 11

y = 11/2 = 5.5

So, the first point is (0, 5.5).

Point 2:

Let's set x = 1 and solve for y:

2y = 3(1) + 11

2y = 3 + 11

2y = 14

y = 14/2 = 7

The second point is (1, 7).

Point 3:

Let's set x = -1 and solve for y:

2y = 3(-1) + 11

2y = -3 + 11

2y = 8

y = 8/2 = 4

The third point is (-1, 4).

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Answer:

Step-by-step explanation:

Have you heard of PEMDAS

Answer:

Side Length

AB = 3.61

BC =  2.0

CD=   3.61

AD = 2.0

Step-by-step explanation: plato answer

Answer:

AB = 3.61

BC =  2.0

CD=   3.61

AD = 2.0

Step-by-step explanation:

Answer: (i) Interval for proportion of underpaid nurses: 0.15 ± 0.0415.

(ii) Interval for difference in proportion: 0.03 ± 0.0641

Step-by-step explanation: Confidence Interval for a representation of the proportion is calculated by:

\(p_{hat}\) ± z.\(\sqrt{\frac{p_{hat}(1-p_{hat})}{n} }\)

(i) \(p_{hat}\) is the proportion, in this case, of underpaid nurses: \(p_{hat}\) = 0.15

Confidence Interval is 90%, so z = 1.645

The interval is:

0.15 ± 1.645.\(\sqrt{\frac{0.15(0.85)}{200} }\)

0.15 ± 1.645*0.0252

0.15 ± 0.0415

Which means that, in 90% of times, the proportion of underpaid nurses wil be between 0.1085 and 0.1915.

(ii) For the difference in proportions:

\(p_{hat_1}-p_{hat_2}\) ± z.\(\sqrt{\frac{p_{hat_1}(1-p_{hat_1})}{n_{1}}+\frac{p_{hat_2}(1-p_{hat_2})}{n_{2}} }\)

The proportion for the second hospital is \(p_{hat_2}\) = 0.12 and, since it is the same confidence interval, z = 1.645.

Calculating:

(0.15-0.12) ± 1.645.\(\sqrt{\frac{0.15(0.85)}{200} + \frac{0.12(0.88)}{120} }\)

0.03 ± 1.645*0.0389

0.03 ± 0.0641

The 90% confidence interval for the difference in proportions of nurses being underpaid is between 0.0341 and 0.0941

Answer:

Domain: (−∞, ∞)

Range: (0, ∞)

Step-by-step explanation:

Most of the function has a Domain of (−∞,∞), which is the domain of this function.

The Range is: (0,∞)

Answer: The domain is all real numbers and the range is all numbers greater than but not equal to zero

Step-by-step explanation:

You can tell this by looking at the graph, all real numbers are accepted as the input (domain) but the function has a horizontal asymptote at y=0 and has no y values below 0.

To find the indefinite integral of ∫(5/x - 5/(5√x)) dx, we will integrate each term separately. The indefinite integral of (5/x - 5/(5√x)) with respect to x, on the domain of positive real numbers, is given by 5 ln |x| - 2√x + C.

The integral of 5/x with respect to x is given by:

∫(5/x) dx = 5 ln |x| + C1,

where ln represents the natural logarithm and C1 is the constant of integration.

The integral of -5/(5√x) can be simplified as follows:

∫(-5/(5√x)) dx = -∫(1/√x) dx = -2√x + C2,

where C2 is the constant of integration.

Putting the results together, we have:

∫(5/x - 5/(5√x)) dx = 5 ln |x| - 2√x + C,

where C = C1 + C2 is the combined constant of integration.

Therefore, the indefinite integral of (5/x - 5/(5√x)) with respect to x, on the domain of positive real numbers, is given by 5 ln |x| - 2√x + C.

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Answer:

well 700m is 2296.59 feet

and 1km is 3280.84 feet

and 300m is 984.252 feet

Step-by-step explanation:

hope this helps :)

The equation for the axis of symmetry for the given parabolic graph is found as: x = 3.

A parabola is the graph of a quadratic function and features a vertical line passing through its vertex as its axis of symmetry.

The graph is also symmetric, with the axis of symmetry being a vertical line that passes through the vertex.

Thus, the equation for the axis of symmetry for the given parabolic graph is found as: x = 3.

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Answer:

Step-by-step explanation:

Answer:

Isosceles Triangle

Step-by-step explanation:

An isosceles triangle is a triangle with exactly two congruent sides.

Please mark me the brainliest!?!

there is no equations

Hey There!

Step-by-step explanation:

Which of the matrices are equal?

Two matrices are said to be equal if: Both the matrices are of the same order i.e., they have the same number of rows and columns A m × n = B m × n .

The distance between the highest and lowest points in new york is given by 11,774 m.

In order to find the distance between the highest and lowest points in new york, calculate the difference between the highest point and the lowest point.

Distance between the highest and lowest points in new york = Highest points in New York - Lowest points in New York

= 6,850 m - (-4,924 m)

= 6,850 m + 4,924 m

= 11,774 m

Therefore, 11,774 m is the distance between the highest and lowest points in new york

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Answer:

sorry I donot know

I wish I could help

To find the area of a composite figure, break it down and calculate the area of each individual component and sum up the areas of these components.

1. Identify the different components: Analyze the composite figure and identify its individual shapes or regions. These could be rectangles, triangles, circles, or any other regular or irregular shapes.

2. Calculate the area of each component: Use the appropriate formulas or methods to find the area of each individual shape or region. For example, the area of a rectangle is calculated by multiplying its length by its width, the area of a triangle is calculated using the formula (base * height) / 2, and the area of a circle is calculated using the formula π * (\(radius^2\)).

3. Sum up the areas: Add up the areas of all the individual components to find the total area of the composite figure. Make sure to use consistent units throughout the calculations.

It's important to note that in some cases, the composite figure may have overlapping or intersecting regions. In such cases, you may need to subtract the overlapped areas or apply additional calculations to accurately determine the total area.

While there are online calculators available to find the area of composite figures, it's beneficial to understand the process and formulas involved so that you can manually calculate the area in situations where a calculator is not accessible or when dealing with more complex composite figures.

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Answer:

first one

Step-by-step explanation:

The following options are true:

If a and b are invertible nxn matrices, then ab^t is invertible.

If b and c are inverses of a matrix a, then b = c.

If a and b are invertible nxn matrices, then ab^t is invertible.

For a matrix to be invertible, it must have a unique inverse. If a and b are invertible nxn matrices, it means that they have unique inverses. Taking the transpose of b, denoted as b^t, does not affect the invertibility of the matrix. Therefore, the product ab^t is also invertible.

If b and c are inverses of a matrix a, then b = c.

If b and c are inverses of a matrix a, it means that when they are multiplied with a in any order, the result is the identity matrix. The identity matrix is unique, and it is the only matrix that, when multiplied with another matrix, yields the same matrix. Since b and c both serve as inverses for a, they must be the same matrix in order to satisfy the condition for inverses. Therefore, b is equal to c.

In summary, the options that are true are:

If a and b are invertible nxn matrices, then ab^t is invertible.

If b and c are inverses of a matrix a, then b = c

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Answer:

After 4 minutes

Step-by-step explanation:

After 1 min: Ant 1 is 9.75 mm underground. Ant 2 is 14.5 mm underground.

After 2 min: Ant 1 is 9.5 mm under. Ant 2 is at 14 mm under.

After 3 min: Ant 1 is 9.25 mm under.

After 4 min: Ant 1 is 9 mm under. Ant 2 is 13.5 mm under.

Ant 2 is now closer to the surface than Ant 1.

Answer:

x ≤ 13

Step-by-step explanation:

hope this helps

The variance for acceptable products in the sample is 11.76.

The variance for  a random variable X representing the number of acceptable products in the sample can be determined using the formula:

Var(X) = n * p * (1 - p)

Where:

n is the number of products in the sample

p is the probability of a product being acceptable

In this case, n = 600 and p = 98% = 0.98

Substituting the values into the formula:

Var(X) = 600 * 0.98 * (1 - 0.98)

Var(X) = 600 * 0.98 * 0.02

Var(X) = 11.76

Therefore, the variance for acceptable products in the sample is 11.76.

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The sum of the polynomials is 3x² + 6x + 4.

(A) If Two independent events, A and B, are such that P(A) = 0. 2 P(A U B) = 0. 8, then probability P(B) =  5/8.

The possibility of the result of any random event is referred to as probability. This term refers to determining how likely an event is to occur. What are the chances of getting a head when we toss a coin in the air, for instance? The quantity of outcomes depends on the response to this question. Here, the outcome could be either head or tail. Thus, there is a 50% chance that the result will be a head.

The probability serves as a gauge for the likelihood that an event will occur. It gauges how likely an event is to occur. The probability equation is given by;

P(E) = Number of Favourable Outcomes/Number of total outcomes

We know that

P(A∪B) = P(A) + P(B) - P(A∩B)

P(A∪B) = P(A) + P(B) - P(A).P(B)

0.8 = 0.2 + P(B) - 0.2.P(B)

0.5 = P(B)  - 0.2.P(B)

0.5 = 0.8.P(B)

P(B) = 0.5/0.8

P(B) = 5/8

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Answer:

17 inches, 4 inches

Step-by-step explanation:

Let the width = x.

Then the length is 2x + 9.

area = length × width

area = (2x + 9)x

area = 2x² + 9x

area = 68

2x² + 9x = 68

2x² + 9x - 68 = 0

2 × 68 = 136

136 = 2³ × 17

8 × 17 = 136

17 - 8 = 9

2x² + 17x - 8x - 68 = 0

x(2x + 17) - 4(2x + 17) = 0

(x - 4)(2x + 17) = 0

x = 4 or x = -17/2

2x + 9 = 8 + 9 = 17

The length is 17 inches, and the width is 4 inches.

Answer:

The dimensions are 17 inches (length) by 4 inches (width).  

Step-by-step explanation:

W = Width

L = Length

Since the problem says that the length, L, equals 9 more inches than 2 times its width, the equation would be:

L = 9+2*W

This would be the same as:

L = 2W + 9

The formula for the area of a rectangle is:

L*W = Area

In the problem, we are given that the area equals 68 inches, so after plugging in the variables for the equation, we get:

(2W+9) * (W) = 68

Then we distribute:

2W^2 + 9W = 68

Then we set it equal to zero:

2W^2 + 9W - 68 = 0

Then we factor it out:

(2W+17) (W-4) = 0

We set each part equal to zero:

2W +17 = 0

2W = -17

W = -17/2

W-4 = 0

W = 4

Since we know that the lengths can only be positives, we disregard the negative solution. Therefore, W, the width, is equal to 4.

We then plug it into the equation to solve for length.

L = 2(4) + 9

L = 17

Then we plug in the lengths and widths to the solution. (FYI: it is typically written as length x width.)

We get:

The dimensions are 17 inches by 4 inches.

Answer:

18

Step-by-step explanation:

the range is how far from the smallest number to the biggest number in the set so 22-4 is 18

Work Shown:

Range = max - min = 22 - 4 = 18

The range represents the distance from the smallest item to the largest item. It tells us how spread out the data set is, in a sense.