Based on a survey, a principal claims that 55 out of 100 students are
boys. If there are a total of 4,200 Ludents in the school, how many
students can you predict are girls? *
Your answer

Answer: Okay, but what's the question?

Step-by-step explanation:

The given expression involves complex numbers and requires simplification to standard form. The first step involves multiplying the expressions inside the parentheses and then combining like terms. The final result will be in the form a + bi, where a and b are real numbers.

To simplify the expression, we multiply the terms inside the parentheses:

\($$(5 + \sqrt{5})(6 - \sqrt{-10}) = 30 - 5\sqrt{5} + 6\sqrt{-10} - \sqrt{5}\sqrt{-10}$$\)

Next, we simplify the square root terms:

\($$\sqrt{-10} = \sqrt{10}\sqrt{-1} = \sqrt{10}i$$\\$$\sqrt{5}\sqrt{-10} = \sqrt{5}\sqrt{10}\sqrt{-1} = \sqrt{5}\sqrt{10}i$$\)

Substituting these values back into the expression, we have:

\($$30 - 5\sqrt{5} + 6\sqrt{-10} - \sqrt{5}\sqrt{-10} = 30 - 5\sqrt{5} + 6\sqrt{10}i - \sqrt{5}\sqrt{10}i$$\)

Now, we combine like terms:

\($$30 - 5\sqrt{5} + 6\sqrt{10}i - \sqrt{5}\sqrt{10}i = 30 - 5\sqrt{5} + (6\sqrt{10} - \sqrt{5})i$$\)$

This is the simplified form of the expression, where the real part is \($30 - 5\sqrt{5}$\) and the imaginary part is \($6\sqrt{10} - \sqrt{5}$\). The result is in the standard form a + bi, where \($a = 30 - 5\sqrt{5}$ and $b = 6\sqrt{10} - \sqrt{5}$\).

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Answer:

q 3 = 3/12.2/9 q4 = 15/40.14/39

The given fractions have equal value, so Liam is correct.

Equivalent fractions are defined as fractions that have different numerators and denominators but the same value. For example, 2/4 and 3/6 are equivalent fractions because they are both equal to 1/2. A fraction is part of a whole. Equivalent fractions represent the same part of a whole.  

Liam is claiming that the fraction -(5/12) is equivalent to 5/-12.

Thus, we can say that:

The fraction  -(5/12) can be described as the opposite of a positive number divided by a positive number. A positive number divided by a positive number always results in a positive quotient and its' opposite is always negative.

The fraction 5/-12 can be described as a positive number divided by a negative number which always results in a negative quotient

The fractions have equal value, so Liam is correct

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Answer:

I wish I've known, but try using Symbo-Lab or Math-Way. They help a lot.

Step-by-step explanation:

Answer:

2x+3=9x-5

Step-by-step explanation:

I hope I am helping you

The average value of f over the rectangle [0,6] x [0,1] is approximately 3.427.

The average value of a function f over a rectangle R is given by:

avg(f) = (1/Area(R)) * double integral of f over R

Here, f(x,y) = 5e^(yx) + e^y and R = [0,6] x [0,1]

The area of R is given by:

Area(R) = (6 - 0) * (1 - 0) = 6

So, the average value of f over R is:

avg(f) = (1/6) * double integral of f over R

We can evaluate the double integral using iterated integration. First, we integrate f with respect to y from 0 to 1, and then integrate the result with respect to x from 0 to 6:

integral of f(x,y) dy = integral of (5e^(yx) + e^y) dy

= (5x/2)e^(yx) + e^y + C

where C is the constant of integration.

Now, we integrate this result with respect to x from 0 to 6:

integral of [(5x/2)e^(yx) + e^y] dx = [(5/2) * integral of xe^(yx) dx] + integral of e^y dx

= [(5/2) * (1/y)e^(yx) - (5/2)(1/y^2)(e^(yx) - 1)] + ey + C

where C is another constant of integration.

Therefore, the average value of f over R is:

avg(f) = (1/6) * [(5/2) * (1/y)e^(yx) - (5/2)(1/y^2)(e^(yx) - 1) + ey] evaluated from y=0 to y=1 and x=0 to x=6

avg(f) = (1/6) * [(5/2) * (1/e^6 - 1) - (5/2)(1/e - 1/e^6) + e - 1]

avg(f) = (1/6) * [(5/2) * (1 - e^-6) - (5/2)(e^-1 - e^-6) + e - 1]

avg(f) = (1/6) * [(5/2) * (1 - e^-6 - e^-1 + e^-6) + e - 1]

avg(f) = (1/6) * [(5/2) * (1 - e^-1) + e - 1]

avg(f) ≈ 3.427

Therefore, the average value of f over the rectangle [0,6] x [0,1] is approximately 3.427.

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Answer: $210

Step-by-step explanation:

i’m over here doing the same work- $210 the answer.

Answer:

x = 69

Step-by-step explanation:

x+x+(x-27) = 180

3x = 207

x = 69

The total cost  of he meat with tax and tip is $ 22.42

To calculate the total cost with tax and tip, we need to follow these steps:

multiply the meal cost by the tip rate. when  the tip rate is 18%, we have:

Tip amount = $19.00 * 0.18 = $3.42

Add the meal cost, sales tax, and tip amount to get the total cost:

Total cost = Meal cost + Sales tax + Tip amount

= $19.00 + $3.42

= $ 22.42

Therefore, the total cost with tax and tip is $22.42

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The dimensions that will admit the most light are, the breadth of the rectangular window is  \(2b = \frac{20+10\pi }{4+3\pi }\), the length of the window is \(2l = \frac{40}{4+3\pi }\) and the radius of the semicircular arc is  \(l= \frac{20}{4+3\pi }\).

In the given question,

Let the length and breadth of the rectangular part of the window be 2l and 2b respectively. So the radius of the semicircular arc will be l.

The total perimeter of the window will be 1 length of the rectangle, 2 breadths of the rectangle, and the length of the semicircular arc.

l+2b+πl = 10

(1+π)l+2b = 10

\(b = \frac{1}{2} [10-(1+\pi )l]\)

To admit maximum light through the window implies that the area of the window is maximized.

The area of the window will be:

\(A = (2l)(2b)+\frac{\pi l^{2} }{2}\)

\(= 4lb+\frac{\pi l^{2} }{2} \\= 2l[10-(1+\pi )l] +\frac{1}{2} \pi l^{2}\)

\(= 20l-2l^{2} -2\pi l^{2} +\frac{1}{2} \pi l^{2}\)

\(= 20l-2l^{2} - \frac{3}{2} \pi l^{2}\)

For the area to be maximum,

\(\frac{dA}{dl} =0\\20 -4l -3\pi l = 0\\l= \frac{20}{4+3\pi }\)

\(b = \frac{1}{2} [10-(1+\pi )\frac{20}{4+3\pi }\\b = \frac{10+5\pi }{4+3\pi }\)

Therefore, the breadth of the rectangular window is \(2b = \frac{20+10\pi }{4+3\pi }\), the length of the window is \(2l = \frac{40}{4+3\pi }\) and the radius of the semicircular arc is \(l= \frac{20}{4+3\pi }\).

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Answer:

\(f(x) = 10*(b)^x\)

Step-by-step explanation:

exponential function : \(y=a*(b)^x\)

where a = y intercept and b = factor ( what you multiply by )

looking at the table the y intercept is at (0,10) so a = 10

so we now have y = 10 * (b)^x

to find the factor we simply plug in one of the ordered pairs.

note that the ordered pair chosen does not effect the outcome

i chose (2,250)

we have y = 10 * (b)^x

(x,y) = (2,250)

250 = 10 * (b)^2

divide both sides by 10

25 = b^2

take the square root of both sides

5 = b

the final equation would be f(x) = 10 * (b)^x

The largest number which divides 70 and 125 , leaving remainders of 5 and 8 is 13.

To find the largest number that divides 70 and 125, leaving remainders of 5 and 8, respectively, we can follow these steps:

Subtract the remainders from their respective numbers:

70 - 5 = 65 and

125 - 8 = 117.

Find the factors of each resulting number:

Factor of 65 = 5 and 13

factor of 117 = 3 and 13

Determine the highest common factor (HCF) of the resulting factors:

The HCF of 5 = 1

the HCF of 13 = 1

the HCF of 3 = 3

the HCF of 13 = 13

Therefore, the largest number that divides 70 and 125, leaving remainders of 5 and 8, respectively, is 13.

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Answer: See explanation

Step-by-step explanation:

At sit and Stay School, 12 lessons cost $96. The unit rate for each lesson will be:

= $96/12 = $8

At Canine Community Center, 25 lessons cost $125. The unit rate will be:

= $125/25 = $5

The better deal is at Canine Community as it's cheaper.

The unit rate for lessons at Sit and Stay School is $8 per lesson

The unit rate for lessons at Canine Community Center is $5 per lesson

The lower unit rate is $5 which is that of Canine Community.

The lessons at Canine Community are the better deal.

Answer:

B

Step-by-step explanation:

8 1/2 - 2 = 6 1/2

6 1/2 + 4 3/4 = 11 1/4

The calculated elements in the set B is {4, 5, 6}

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

The above means that

U = {1, 2, 3, 4, 5, 6}

The numbers greater than 3 in the above set are

Elements = 4, 5 and 6

This means that the elements in the set B is {4, 5, 6}

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Answer:

T = 0.7(220 – a)

Step-by-step explantion:

Hope it helped

Answer:

good morning is that has to go to the one that has to be done by the time to khow hasgot is a good idea to go

Step-by-step explanation:

Rhodes college football and I will be done by then to khow hasgot and I will send it out to me and decor is he still in the one I will send you the election results and

The ranking from highest to lowest surface area to volume ratio is: 1. Sphere 2. Box 3. Cube.

To rank the objects based on their surface area to volume ratios, we need to compare the ratios of surface area to volume for each object. Let's start with the sphere. The surface area of a sphere with radius r is given by the formula 4πr².

In this case, the radius is 0.62 inches. Therefore, the surface area of the sphere is approximately 4π(0.62)² square inches. The volume of the sphere is given by the formula (4/3)πr³.

Substituting the radius of 0.62 inches, we find that the volume of the sphere is approximately (4/3)π(0.62)³ cubic inches.

To calculate the surface area to volume ratio, we divide the surface area by the volume. In this case, we have (4π(0.62)^2) / [(4/3)π(0.62)^3] = 3 / 0.62. Next, let's consider the cube.

The surface area of a cube with side length s is given by the formula 6s²

In this case, the side length is 1 inch. Therefore, the surface area of the cube is 6(1)² square inches. The volume of the cube is given by the formula s³

Substituting the side length of 1 inch, we find that the volume of the cube is 1³ cubic inch. Dividing the surface area by the volume, we have (6(1)²) / 1 = 6.

Finally, let's look at the box. The surface area of a box with dimensions length, width, and height is given by the formula 2(length × width + width × height + height × length). In this case, the dimensions are 1 inch, 0.5 inch, and 2 inches respectively. Therefore, the surface area of the box is 2(1 × 0.5 + 0.5 × 2 + 2 × 1) square inches. The volume of the box is given by the formula length × width × height. Substituting the dimensions, we find that the volume of the box is 1 × 0.5 × 2 cubic inches. Dividing the surface area by the volume, we have [2(1 × 0.5 + 0.5 × 2 + 2 × 1)] / (1 × 0.5 × 2).

Comparing the surface area to volume ratios, we find that the sphere has the highest ratio, followed by the box, and then the cube. So, the ranking from highest to lowest surface area to volume ratio is: 1. Sphere 2. Box 3. Cube

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Answer:

A

Step-by-step explanation:

This is because vertical angles are always congruent, they cross diagonally which makes them equal to each other.

When two perpendiculars line intersect the angles formed must be a right angle. Hence option b is correct.

The angle can be defined as the one line inclined over other line.

Here, When perpendicular lines intersect each other the angle formed between them is 90 degree. So the angles are right angles.

Thus, when two perpendiculars line intersect the angles formed must be a right angle.

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Answer:

Step-by-step explanation:

15

The number of miles for which the cost of Uber and Lyft is the same is 30.

How to solve linear equations?
Given that the largest power of the variable (or pronumeral) in these equations is 1, linear equations are also known as first-degree equations. A line on the quadratic system is represented by a linear equation. This equation's general form is axe + b = 0, where a, b, and x are all integers and x is the variable. The y-axis is parallel to this form of equation's single solution, which it symbolizes.
The steps that should be followed while solving linear equations are listed below:
1) We must first determine which variable we need to isolate.
2) Next, make a distinction between variables and constants.
3) Arrange the constants on the right and the variables on the left.
4) Using established axioms, we carry out algebraic operations to determine the variable's value.

Let the number of miles covered be = x
Given, the cost of travel = Pickup Fee + Cost per mile
Given, the pickup fee for Uber = $ 0
The cost per mile for Uber = $ 0.25
Again, the pickup fee for Lyft = $ 3
The cost per mile for Lyft = $ 0.15
Thus, the cost of travel for Uber = 0 + 0.25x -- (i)
Also, the cost of travel for Lyft = 3 + 0.15x -- (ii)
As per question, (i) and (ii) are equal.
Thus, 0 + 0.25x = 3 + 0.15 x ⇒ (0.25 - 0.15)x = 3 ⇒ 0.10x = 3
⇒ x = 3/0.10 ⇒ x = 30
Thus, for 30 miles  the cost of Uber and Lyft is the same.

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Answer:

x<−31

Step-by-step explanation:

Answer:

i am pretty sure the answer will be

Step-by-step explanation:

x>8

Answer:

Step-by-step explanation:

(h)

\(KE= \frac{1}{2}mv^{2} \\KE=\frac{mv^{2} }{2} \\2KE=mv^{2}\\2KEm=v^{2} \\v=\sqrt{2KEm}\)

(g)

\(s=\frac{(u+v)t}{2} \\2s=(u+v)t\\\frac{2s}{t}=u+v\\u= \frac{2s}{t}-v\)

(i)

\(s=ut+\frac{1}{2} at^{2} \\s-ut=\frac{at^{2} }{2} \\2s-2ut=at^{2} \\\sqrt{2s-2ut}=at\\a=\sqrt{2s-2ut}-t\)

(j)

\(\frac{pV}{T} =nR\\T=\frac{pV}{nR}\)

(k)

\(a^{2} -b^{2} +c^{2} \\a^{2} +c^{2} =b^{2} \\b=\sqrt{a^{2} +c^{2} }\)

(i)sinθ\(=\frac{a}{b}\)

       θ=\(\frac{a}{sin(b)}\)

No, the transformation given is not a reflection, hence the statement is false.

A transformation is a process that manipulates a polygon or other two-dimensional object on a plane or coordinate system. The original shape of the object is called the Pre-Image, and the final shape and position of the object is the Image under the transformation.

Given is a figure, showing some transformation, we need to identify whether the transformation is a reflection or not,

So, by the observation of the figure, we see that, the figure is similar to the preimage, and in reflection we obtain a flip image of the preimage,

A reflection reflects a point or shape across a given line. we do not get the same results after performing reflection transformation.

The figure is showing a translational transformation instead of reflection transformation.

Hence, the statement is wrong.

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The question do not have figure, the question is solved for the figure attached

The slope-intercept form is a linear equation written in the form y = mx + b, where m is the slope and b is the y-intercept. It is used to graph linear functions on a coordinate plane.

Let's break down the problem and write the equation in slope-intercept form.

The total cost (y) of renting a bicycle consists of a flat fee of $10 and an additional $5 per hour. This can be written as:

y = 5x + 10

In this equation, "y" represents the total cost, "x" represents the number of hours, the slope (5) represents the hourly rate, and the y-intercept (10) represents the flat fee.

Now, we'll calculate the cost for Emily to rent a bicycle for 6 hours:

y = 5(6) + 10
y = 30 + 10
y = 40

So, it would cost Emily $40 to rent a bicycle for 6 hours.

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The mean absolute deviation and the IQR of the data are;

Mean absolute deviation = 5.2

The interquartile range, IQR = 12.5

The mean absolute deviation, (MAD) is a measure of variability of a set of data. The is the average of the absolute values of differences of the data points from the mean of the data set.

First part

The absolute differences of the data points from the are;

|5 - 12| = 7, |18 - 12| = 6, |6 - 12| = 6, |18 - 12| = 6, |13 - 12| = 1

The average of the absolute differences = (7 + 6 + 6 + 6 + 1)/5 = 5.2

The mean absolute deviation for the set of data is; 5.2

Second part

The interquartile range, IQ3, is the spread of the middle 50% of the data.

IQR = The difference between the third quartile, Q₃, and the first quartile, Q₁

IQR = Q₃ - Q₁

The data in order is; 5, 6, 13, 18, 18

The first quartile, Q₁ = (5 + 6)/2 = 5.5

The third quartile, Q₃ = (18 + 18)/2 = 18

Therefore; IQR = Q₃ - Q₁ = 18 - 5.5 = 12.5

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Answer:

Hmmm

Step-by-step explanation:

Answer is 1st and 3rd shape

Whose area is 4 units

Answered by Gauthmath must click thanks and mark brainliest

Answer:

Perimeter of ΔPRS = 35.91 units

Step-by-step explanation:

From the figure attached,

By applying triangle sum theorem in the given triangle PRS,

m∠P + m∠R + m∠S = 180°

45° + m∠R + 60° = 180°

m∠R = 75°

By applying sine rule,

\(\frac{\text{sinP}}{RS}= \frac{\text{sinS}}{PR}=\frac{\text{sinR}}{PS}\)

\(\frac{\text{sin}(45^{\circ})}{10}= \frac{\text{sin}(60^{\circ})}{PR}=\frac{\text{sin}(75^{\circ})}{PS}\)

\(\frac{\text{sin}(45^{\circ})}{10}= \frac{\text{sin}(60^{\circ})}{PR}\)

PR = 12.25 units

\(\frac{\text{sin}(45^{\circ})}{10}=\frac{\text{sin}(75^{\circ})}{PS}\)

PS = 13.66 units

Perimeter of triangle PRS = PR + PS + RS

                                            = 12.25 + 13.66 + 10

                                            = 35.91

The answer to the equation f(x+1)-f(x) is 4. This is because when we evaluate the equation, we are taking the difference between two values of f(x).

To evaluate f(x+1)-f(x), we need to use the distributive property of multiplication over addition. This means we can break up the expression f(x+1) into 4(x+1) and 7, then add them together. We do the same with f(x), which can be broken up into 4x and 7.We can then subtract the two expressions, which gives us the following equation:[4(x+1) + 7] - [4x + 7] = 4x + 4 + 7 - 4x - 7 = 4.This shows us that when f(x+1) is subtracted from f(x), the answer is 4. This is because when we look at the equation f(x) = 4x + 7, we can see that when 1 is added to the x value, the result is 4 more than the original expression. The 4 is the result of the additional value of x + 1 in the expression 4(x+1).

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Answer:D

Step-by-step explanation:

A hypothesis is an educated guess based on facts you can prove it right or wrong so to me D makes the most sense.

(I’m also still in HS but excel in these kinds of questions this is an educated guess that I believe to be true because A and C are both technically correct and B isn’t so that leaves D)