Write a compound inequality to represent all of the numbers between -4 and 6.

Answer:

m = 1/3, b = 2

Step-by-step explanation:

The equation is already written is slope-intercept form, y = m x + b.

Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

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Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

Answer:

153.1

Step-by-step explanation:

Without just estimating, I actually solved the problem with basic division and that's the answer.

(If you need a better explanation, I can totally do that)

Answer:

4/3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Since the Tootsie Roll lollipop is a sphere

volume of sphere= \(\frac{4}{3}piR^3\) = -0.25 \(in^3/min\)

the negative sign indicates that the volume is decreasing

upon differentiating

as the diameter given is =0.75 so radius will be = 0.375

\(dV/dt = 4piR^2*dR/dt\)

so \(dR/dt = 0.25/4*3.14 *(0.375)^2\)

So the radius is decreasing at the rate of dR/dt= 0.142in/min

Answer:

1 pound of nachos = $4.71

1 pound of candy = $4.71/5 = $.94

1 pound of nuts = $4.71/3 = $1.57

Step-by-step explanation:

total price for 3 pounds of candy and 3 pounds of nuts = $30

total price for 1 pound of nachos and 5 pounds of candy

= $12.43 + $30 = $42.43

let 1 pound = $x

thus according to the question,

x + 5x + 3x = $42.43

(total cost of 1 pound of nachos, 5 pounds of candy and 3 pounds of nuts)

9x = $42.43

x = $42.43/9 = $4.71

1 pound of nachos = $4.71

1 pound of candy = $4.71/5 = $.94

1 pound of nuts = $4.71/3 = $1.57

SOLUTION

Let us give a pictorial view of the question.

Where

Therefore, the angle of elevation is 48 degrees.

a) P(psychology student)  = 1/3. b) P(psychology or anthropology student)  = 5/6. c) P(not sociology student)= 5/6

(a) The probability of choosing a psychology student is the number of psychology students divided by the total number of students:

P(psychology student) = 4/(6+2+4) = 4/12 = 1/3

(b) The probability of choosing a psychology student or an anthropology student is the sum of the number of psychology and anthropology students divided by the total number of students:

P(psychology or anthropology student) = (4+6)/(6+2+4) = 10/12 = 5/6

(c) The probability of not choosing a sociology student is the number of non-sociology students divided by the total number of students:

P(not sociology student) = (6+4)/(6+2+4) = 10/12 = 5/6

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Answer:

(x + i) (x - i)

Step-by-step explanation:

The expression x^2 + 1 is a sum of squares, which means that it cannot be factored using real numbers. However, it can be factored using complex numbers.

To factor x^2 + 1, we can use the fact that i^2 = -1, where i is the imaginary unit.

We can rewrite x^2 + 1 as:

x^2 + 1 = x^2 - (-1)

Now, we can use the difference of squares formula to factor x^2 - (-1):

x^2 - (-1) = (x + i)(x - i)

Therefore, the factored form of x^2 + 1 is:

(x + i)(x - i)

Answer:

The point at the bottom has to move over 2 to the left to be aligned with the point at the top however they will have a 3 space in between the 2 same for the point at the top, the top point moves over 2 to the right to be aligned with the bottom point, then they will have a 3 square space between each other.

Answer:Around 3 spaces between?

Step-by-step explanation:

The equation of the line containing the paints A and B is y = -1/3x + 4

from the question, we have the following parameters that can be used in our computation:

The graph

Where, we have

(6, 2) and (0, 4)

A linear equation is represented as

y = mx + c

Where

c = y when x = 0

So, we have

y = mx + 4

Using the other points, we have

6m + 4 = 2

So, we have

6m = -2

Evaluate

m = -1/3

So, we have

y = -1/3x + 4

As an equation, we have

y = -1/3x + 4

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Answer:

B; There is only one (x,y) solution and y is negative

Step-by-step explanation:

First, I graphed the two equations. Attached is an image of the equations graphed. Next, I looked for overlapping points. Wherever the two points overlap, there is a solution. When looking at the graph, we can see the lines overlap at only one point, (0,-1). Since y is negative, the answer must be B; there is only one (x,y) solution and y is negative.

If this answer helped you, please leave a thanks!

Have a GREAT day!!!

The distance between points R and S is  \(\sqrt{ (185)\). The correct answer is D. She made no errors.

Heather's work to find the distance between two points, R(-3,-4) and S(5,7), is shown:

RS = √(-4) (-3))² + (7 − 5)²

= √(-1)² + (2)²= √1 + 4

= √5

The error is with the order of subtraction in the formula for the distance between two points.

Heather did not make any errors in calculating the distance between two points. Therefore, the correct answer to the question above is (OD) She made no errors.

The formula for the distance between two points, A (x1, y1) and B (x2, y2), in the coordinate plane is given as;

dAB = \(\sqrt{  ((x^2 - x1)^2 + (y2 - y1)^2)\)

Comparing the given question with the formula above, we have;

A = R (-3, -4) and B = S (5, 7)The distance, AB = RS.

Therefore, we have;

RS = \(\sqrt{ ((5 - (-3))^2 + (7 - (-4))^2)\)

On solving the above equation;RS = \(\sqrt{ ((5 + 3)^2 + (7 + 4)^2)\)RS

= \(\sqrt{ (8^2 + 11^2)RS\)

= \(\sqrt{ (64 + 121)RS\)

= \(\sqrt{ (185)\)

Therefore, the distance between points R and S is  \(\sqrt{ (185)\).

From the calculation, it is clear that Heather did not make any errors while calculating the distance between two points. The answer obtained by Heather is correct.

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Answer:

Since you are looking for the scale factor of ABC to DEF the answer is 8 because DEF is 8 times larger than ABC

Step-by-step explanation:

Approximately 99.7% of scores lie in the shaded region.

We have,

The empirical rule, also known as the 68-95-99.7 rule, provides an estimate of the percentage of scores that lie within a certain number of standard deviations from the mean in a normal distribution.

According to this rule:

Approximately 68% of scores lie within 1 standard deviation of the mean.

Approximately 95% of scores lie within 2 standard deviations of the mean.

Approximately 99.7% of scores lie within 3 standard deviations of the mean.

Now,

In the given scenario, the shaded region represents the area between -2 and 3 standard deviations from the mean on the x-axis.

This encompasses the area within 3 standard deviations of the mean.

And,

Since 99.7% of scores lie within 3 standard deviations of the mean, we can estimate that approximately 99.7% of scores lie in the shaded region.

Therefore,

Approximately 99.7% of scores lie in the shaded region.

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Answer:

what is the question you are asking?

Answer:

Mr. adhakari deposited a sum of RS 2400 in a bank at 5% per year simple interest. how much interest would he get at the end of 4 year ?​ - 480 rs

The area of the segment is 9( π-2) units²

The area of a figure is the number of unit squares that cover the surface of a closed figure.

A segment is the area occupied by a chord and an arc. A segment can be a major segment or minor segment.

Area of segment = area of sector - area of triangle

area of sector = 90/360 × πr²

= 1/4 × π × 36

= 9π

area of triangle = 1/2bh

= 1/2 × 6²

= 18

area of segment = 9π -18

= 9( π -2) units²

therefore the area of the segment is 9(π-2) units²

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The polynomial with the given zeros is:;

P(x) = (300/108)*x*(x + 1)*(x - 1)*(x - 3/2)

Remember that if a polynomial has the zeros a, b, c, and d, then we can write it as:

P(x) = K*(x - a)*(x - b)*(x - c)*(x - d)

Where K is a coefficient.

Here the zeros are 0, -1, 1, 3/2

Then we can write:

P(x) =K*(x - 0)*(x + 1)*(x - 1)*(x - 3/2)

P(x) =K*x*(x + 1)*(x - 1)*(x - 3/2)

We also know that when x = -3, P(x) = 300

Then we can write:

300 = K*(-3)*(-3 + 1)*(-3 - 1)*(-3 - 3/2)

300 = K*(-3)*(-2)*(-4)*(-9/2)

300 = K*108

300/108 = K

Then the polynomial is:

P(x) = (300/108)*x*(x + 1)*(x - 1)*(x - 3/2)

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Answer:

1372 ft^3

Step-by-step explanation:

Volume of sphere =\(\frac{4}{3}\)πr^3

here π is 3 and radius = 7

4/3 * 3 * 7^3

1372ft^3

Answer:

14ft

Step-by-step explanation:

Answer:NONE

Step-by-step explanation:

No question asked

Yes, the graph of linear equation is always a straight line.

Each term in a linear equation has an exponent of 1, and when this algebraic equation is graphed, it always produces a straight line. It is called a "linear equation" for this reason.

Consider the equation y = mx + c to define a linear function with a straight line as its graph.

We are aware that the rate of change, m, for a linear function is constant. On the graph, shifting by 1 always causes you to go up by m as shown in attached image.

The graph thus resembles a staircase. It is a straight line because it always rises in equal-sized steps.

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Answer:

P>_5(10)^t

P<_1,000

Step-by-step explanation:

As per the concept of normal distribution, the two diameters of the bolt that has separate the top 3% and the bottom 3% are 5.2836 mm and 5.0764 mm respectively .

Normal distribution:

Normal distribution means the probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean and it has the bell shaped curve.

Given,

The diameters of bolts produced in a machine shop are normally distributed with a mean of 5.18 millimeters and a standard deviation of 0.07 millimeters.

Here we need to find the two diameters that separate the top 3% and the bottom 3% and these diameters could serve as limits used to identify which bolts should be rejected. we have also round off the result into nearest hundredth.

Here we have the given question with the values of,

The value of Mean is 5.18 millimeters

The value of Standard deviation is 0.07 millimeters.

Here we have to consider the following two cases, they are.

Case 1

We need to find x₁ such that that is P(X > x₁) = 3% when we convert it into decimal then we get P (X > x₁) = 0.03

So, as per the probability,

P (X ≤ x₁) = 1 - 0.03 = 0.97

So, z corresponding to the value of p = 0.97 is 1.48

Apply the given values to the formula of normal distribution then we get,

=> 1.48 = (x₁ -  5.18) /0.07

=> 0.1036 = x₁ - 5.18

Therefore, the value of x₁ is  5.2836

So, the diameter of the both with separate top 3% is 5.2836.

Case 2:

Next we have to take P(X < x₂) = 3% when we convert it into decimal then we get P (X < x₂) = 0.03

So, as per the given probability, the value of

P (X ≤ x₂) = 1 - 0.03 = 0.97

So, z corresponding to but here we have to use the negative because of the less than concept p = 0.97 is -1.48

Apply the values on the formula of normal distribution then we get,

-1.48 = (x₂ -  5.18) /0.07

Move the value to the other side

-0.1036 = x₂ - 5.18

When we simplify it,

x₂ =  5.0764

So, the diameter of the both with separate bottom 3% is 5.0764

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The negations of the given statements with the application of De Morgan's law and/or conditional law.

a) ∃x (¬P(x) ∨ ¬R(x))

De Morgan's law:

∃y ∀z(¬P(y) ∧ ¬Q(z))

b) ∃y ∀z(¬P(y) ∧ ¬Q(z))

The double negation:

∃y ¬∃z(P(y) ∨ Q(z))

c) ¬∃x (P(x) ∨ (∀z (¬R(z)) → (∀z ¬Q(z))))

The conditional law:

¬∃x (P(x) ∨ (∀z (¬R(z)) → (∀z ¬Q(z))))

Let's form the negation of the given statements and apply De Morgan's law and/or conditional law, when applicable:

a) ∀x (P(x) ∧ R(x))

The negation of this statement is:

∃x ¬(P(x) ∧ R(x))

Now let's apply De Morgan's law:

∃x (¬P(x) ∨ ¬R(x))

b) ∀y∃z(¬P(y) → Q(z))

The negation of this statement is:

∃y ¬∃z(¬P(y) → Q(z))

Using the conditional law, we can rewrite the negation as:

∃y ¬∃z(¬¬P(y) ∨ Q(z))

c) ∃x (P(x) ∨ (∀z (¬R(z) → ¬Q(z))))

The negation of this statement is:

¬∃x (P(x) ∨ (∀z (¬R(z) → ¬Q(z))))

Using the conditional law, we can rewrite the negation as:

¬∃x (P(x) ∨ (∀z (R(z) ∨ ¬Q(z))))

Applying De Morgan's law:

¬∃x (P(x) ∨ (∀z ¬(¬R(z) ∧ Q(z))))

Simplifying the double negation:

¬∃x (P(x) ∨ (∀z ¬(R(z) ∧ Q(z))))

Using De Morgan's law again:

¬∃x (P(x) ∨ (∀z (¬R(z) ∨ ¬Q(z))))

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Answer:

x = 5

Step-by-step explanation:

for the figures to be proportional then the ratio of corresponding sides must be in proportion, that is

\(\frac{x}{20}\) = \(\frac{3}{12}\) ( cross- multiply )

12x = 20 × 3 = 60 ( divide both sides by 12 )

x = 5

Answer:

The correct answer is B, also may be Brain??

Step-by-step explanation:

The perimeter of a rectangle can be calculated using the formula P = 2l + 2w, where l is the length and w is the width. If the length of the rectangle is 25 cm and we want the perimeter to be greater than 90 cm, we can set up an inequality to solve for the width: 2l + 2w > 90.

Substituting the value for the length gives 2 * 25 + 2w > 90, which simplifies to 50 + 2w > 90. Subtracting 50 from both sides gives 2w > 40, and dividing by 2 gives w > 20.

So the width of the rectangle must be greater than 20 cm to make the perimeter greater than 90 cm. The correct answer is B: width > 20 cm.

Answer:

i'm guessing this but not 100% sure

Step-by-step explanation:

Let w = the width

P = 2l + 2w

2w + 2(25) > 90

2w + 50 > 90

2w > 40

w > 20 cm

Answer:

A

Step-by-step explanation:

If you substitute the values given in the question, i.e. (-10,3), the only equation that satisfies this solution is A.

Try substituting

x for (-10)

y for (3)

Answer:

45/49

Step-by-step explanation:

The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. Finally, simplify the fractions if needed.

9/14 * 10/7 = 90/98

divide the numerator and the denominator by 2.

90 * 2 = 45

98 * 2 = 49

45/49

Answer:

-6 \(\sqrt{35}\)

Step-by-step explanation:

Answer:

\(6\sqrt{35}i\)

Step-by-step explanation: