can someone please solve #7

The given point (8, -15) is located in the third quadrant of the coordinate plane.

In this quadrant, the x-coordinate is negative and the y-coordinate is also negative.

Let us consider some common functions to determine which of them are positive in the third quadrant:

A linear function is of the form f(x) = mx + b,

where m is the slope and b is the y-intercept. In the third quadrant, both the slope and y-intercept are negative.

Therefore, if m > 0, then f(x) is negative for all x-values in the third quadrant.

If m < 0, then f(x) is positive for all x-values in the third quadrant.

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Answer:

The volume of a cylinder is given by the formula V = πr^2h, where r is the radius of the base and h is the height of the cylinder.

The diameter of the base is 20in, so the radius is half of that, or 10in.

Plugging in the given values, we get:

V = π(10in)^2(16in)

V = 1600π cubic inches

V ≈ 5026.55 cubic inches (rounded to the nearest tenths place)

Therefore, the volume of the cylinder is approximately 5026.55 cubic inches.

Answer: The cylinder's volume is roughly 5026.55 cubic inches.

explanation: The volume of a cylinder is calculated using the formula V = r2h, where r is the radius of the base and h is the cylinder's height.

The radius of the base is half the diameter of the base, or 10in.

With the provided values, we get: V = (10in)2(16in).

1600 cubic inches = V

V 5026.55 cubic inches (rounded to the nearest tenths of a millimeter)

As a result, the cylinder's volume is roughly 5026.55 cubic inches.

The student can select the questions in 10 different ways.

We have,

The student can select any 3 out of the 5 essay questions.

The number of ways to do this can be calculated using the binomial coefficient formula:

C(5, 3) = 5! / (3! x 2!)

= (5 x 4 x 3) / (3 x 2 x 1)

= 10

Therefore, the student can select the questions in 10 different ways.

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The volume of the solid is 94.375 ft³.

We have,

From the figure,

We can have three rectangles.

So,

Rectangle A area.

= 2 x 6

= 12 ft²

Rectangle B area.

= (9 - 2 - 3) x (6 - 2(1/2))

= (4 x 12 - 2.5)

= (48 - 2.5)

= 45.5 ft²

Rectangle C area.

= 3 x 6

= 18 ft²

Now,

Adding the area of the rectangles.

= 12 + 45.5 + 18

= 75.5 ft²

This is our base area.

Now,

The volume of the solid.

= 75.5 ft² x 1(1/4) ft

= 94.375 ft³

Thus,

The volume of the solid is 94.375 ft³.

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The volume of the hexagonal pyramid is 508.93 cubic inches.

The formula for the volume of a pyramid is:

Volume = (1/3) x base area x height

In this case, we are given that the base of the pyramid is a regular hexagon with an area of 92 square inches, and the height is 6 inches.

To find the volume of the pyramid, we need to first find the area of one of the triangles that make up the hexagonal base. Each of the six triangles in the base is an equilateral triangle, so we can use the formula for the area of an equilateral triangle to find the area of one of the triangles:

Area of an equilateral triangle = ([tex]\sqrt{3}[/tex]/4) x [tex](side)^{2}[/tex]

Since the base of the pyramid is a regular hexagon, all six sides are equal. Let's call the length of one side "s". Then we have:

Area of one triangle = ([tex]\sqrt{3}[/tex]/4) x [tex]s^{2}[/tex]

To find the total area of the hexagonal base, we can multiply the area of one triangle by the number of triangles in the base:

Area of hexagonal base = 6 x([tex]\sqrt{3}[/tex]/4) x [tex]s^{2}[/tex]

We are given that the area of the hexagonal base is 92 square inches, so we can solve for "s":

6 x ([tex]\sqrt{3}[/tex]/4) x [tex]s^{2}[/tex] = 92

([tex]\sqrt{3}[/tex]/4) x [tex]s^{2}[/tex] = 92/6

[tex]\sqrt{3}[/tex]  x [tex]s^{2}[/tex] = 46

[tex]s^{2}[/tex]  = 46/[tex]\sqrt{3}[/tex]  

s ≈ 6.21 inches

Now that we know the length of one side of the hexagonal base, we can find the area of the base by using the formula for the area of a regular hexagon:

Area of hexagonal base = (3[tex]\sqrt{3}[/tex]  /2) x  [tex]s^{2}[/tex]  

Area of hexagonal base ≈ 254.47 square inches

Finally, we can use the formula for the volume of a pyramid to find the volume of the hexagonal pyramid:

Volume = (1/3) x base area x height

Volume = (1/3) x 254.47 x 6

Volume ≈ 508.93 cubic inches

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Answer:

n1=0 n2=4 n3=8 n4=12

Step-by-step explanation:

tn=4(n-1) is the formula to determine the value of the nth term, so all you have to do is plug in what term you want for the variable and solve.

for example

n1=4(1-1)=0

n2=4(2-1)=4

n3=4(3-1)=8

n4=4(4-1)=12

Hope you understand and have a great day.

The table that correctly represents the ratio is

Students           Adults

5                         2

15                       6

25                      10

(option d).

Ratios are a way of comparing two quantities by expressing their relationship in a simplified form. They are commonly used in various real-life situations, such as determining the student to adult ratio on a field trip. In this case, the ratio of students to adults is given as 5 to 2, which means that for every 5 students, there are 2 adults present on the trip.

To represent this ratio in a table, we need to choose values that are in the same proportion as the given ratio. For example, if we have 10 students, we need to have 4 adults (since 5 to 2 is equivalent to 10 to 4). Similarly, if we have 15 students, we need to have 6 adults.

Looking at the given tables, we can see that only option D correctly represents the ratio of 5 to 2. In this table, for every 5 students, there are 2 adults, and the other values in the table are also in the same proportion as the ratio.

Therefore, option D is the correct table that represents the ratio of students to adults on the field trip.

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The solution is : the value of y is 7.

Here, we have,

The perimeter of a rectangle is found by

P = 2 (l+w)

P = 2( 3y+3+2y)

Combine like terms

P = 2(5y+3)

We know the perimeter is 76

76 = 2(5y+3)

Divide each side by 2

76/2 = 2/2(5y+3)

38 = 5y+3

Subtract 3 from each side

38-3 = 5y+3-3

35 = 5y

Divide each side by 5

35/5 = 5y/5

7 =y

We want the length of AD = BC = 2y

AD = 2y=2*y = 14

Hence, The solution is : the value of y is 7.

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In the given experiment, the researchers and the subjects would not know which medication the subjects are taking, which will help to ensure that the results are accurate and unbiased.

Double-blind means that neither the subjects nor the researchers conducting the experiment will know which group each subject is assigned to. This is important to reduce the chances of bias influencing the results. For example, the doctors may be more likely to report more positive results in the group taking the new medication if they know which group the subject is in. By remaining blind to the group assignment, the doctors can objectively report the results without bias.

Therefore, in the given experiment, the researchers and the subjects would not know which medication the subjects are taking, which will help to ensure that the results are accurate and unbiased.

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The area covered by the face of the building which has the shape of a parallelogram would be = 2,464m².

The parallelogram is defined as a type of quadrilateral that has two sides that are parallel which are opposite each other.

To calculate the area of one face of the building, the formula that needs to be used is the formula for the area of a parallelogram.

That is;

Area of parallelogram = base × height.

where;

height = 28 meters.

Base = 88 meters.

Therefore the area of the parallelogram = 28×88 = 2,464m²

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The equation of the line which passes through the points (-4,-5) and (6,4) is [tex]y = \frac{9}{10}x - \frac{7}{5}[/tex].

The formula for equation of line is expressed as;

y = mx + b

Where m is slope and b is y-intercept.

The line passes through the points (-4,-5) and (6,4).

First, detremine the slope of the line using the slope formula:

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

m = ( 4 - (-5) ) / ( 6 - (-4) )

m = ( 4 + 5 ) / ( 6 + 4 )

m = ( 9 ) / ( 10 )

m = 9/10

Next, using the point-slope form, plug in one of the given points and slope m = 9/10 to find the equation of the line.

Using the point (-4,-5):

y - y₁ = m(x - x₁)

[tex]y - (-5) = \frac{9}{10}( x - (-4))\\ \\ y + 5 = \frac{9}{10}( x + 4)\\\\ y + 5 = \frac{9}{10}x + \frac{18}{5}\\\\ y = \frac{9}{10}x + \frac{18}{5} - 5\\ \\ y = \frac{9}{10}x - \frac{7}{5}[/tex]

Therefore, the equation of line is [tex]y = \frac{9}{10}x - \frac{7}{5}[/tex].

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The simplified expression with only positive exponents is 2197x⁻⁵/z¹⁰.

Now, let's look at the expression you provided: 13x⁻⁵y⁰/5⁻³z⁻¹⁰. We want to simplify this expression by using only positive exponents.

To do this, we can use the following rules:

A negative exponent means we take the reciprocal of the base raised to the positive exponent.

A zero exponent means the base is equal to 1. For example, y⁰ is the same as 1.

When dividing two terms with the same base, we can subtract the exponents.

Now, let's apply these rules to simplify the expression:

13x⁻⁵y⁰/5⁻³z⁻¹⁰

= 13x⁻⁵/5⁻³z⁻¹⁰

= 13(5³/z¹⁰)x⁻⁵

= 2197x⁻⁵/z¹⁰

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The estimated population mean with

80% confidence =  [30.856, 33.135]

90% confidence = [30.543, 33.456]

Since, For a population with unknown mean  and known standard deviation , a confidence interval for the population mean, based on a simple random sample of size n, is x + - z*  × σ /√n  , where z* is the upper (1-C)/2 critical value for the standard normal distribution.

Here, Population standard deviation = 5.6

Sample mean = 32

Sample size = 40

Given confidence level = 80%

at 80% confidence level = 1.28

Upper confidence interval = 33.135

Lower confidence interval = 30.865

Population mean lies between [30.856, 33.135] at 80% confidence level.

Given confidence level = 90%

at 90% confidence level = 1.65

Upper confidence interval =33.456

Lower confidence interval = 30.543

Population mean lies between [30.543, 33.456] at 90% confidence level.

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Answer:

0.46

Step-by-step explanation:

Pretty easy actually, you just have to take the degree of the red area and divide it by the total which is 360°

Probability = 165/360 = 0.458333 = 0.46 (nearest hundredth)

Answer:

95234

Step-by-step explanation:

5602 x 17 = 95234

There are 10 pentagons to form close ring.

In the pentagon

The number of sides = 5

Let interior angles of pentagon = q degree

Therefore,

p = (5-2)x180/5 = 108

q = 360 -2p = 360- 2x108 = 144

Now, q = (n-2)x180/n

 ⇒ 144 = (n-2)x180/n

 ⇒  -36n = -360

 ⇒ n = 10

Hence, n = 10

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The depth of the water after 5 minutes is 29 inches.

Given that Samantha is draining her swimming pool.

The function D (t) models the depth of the water, in inches, minutes after she began draining the pool,

We need to find the depth of the water after 5 minutes,

So according to the table it is 29 inches.

Hence the depth of the water after 5 minutes is 29 inches.

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David is studying Giraffe.

The correct option is (d)

Here, The table of the given information is:

Animal                      speed               Type                Habitat

Elephant                   25 mph            Mammal           Grassland

Sailfish                      68 mph            Fish                   Oceans

Giraffe                       32 mph            Mammal           Grassland

Dolphin                     30 mph            Mammal           Oceans

And, The options are given :

David is studying a mammal, but Ping is not.

Therefore, Ping is studying Sailfish.

The animal that Mandy is studying can be found in the ocean.

Therefore, Mandy is studying Dolphin.

The animal that Alan is studying is slower than the animal that David is studying,

Therefore, Alan is studying Elephant which is slower than Giraffe.

Finally David is studying Giraffe.

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Answer:

468ft²

Step-by-step explanation:

Triangles: 9x12=108 (sides)

TIP: Since there are two of these triangles, you don't need to divide by 2

Rectangles: 12x10=120 (bottom)

                    9x10=90 (Back)

                    15x10=150 (top)

108+120+90+150=468ft²

Answer:

The volume is 200.7 cm^3

Step-by-step explanation:

The volume of a cylinder is:

Vol = pi•r^2•h

The radius and height were given, so fill them in.

V = pi • (4.4)^2 • 3.3

V = 200.710071

This is the answer you get if you use the pi key on the calculator.

Round to the nearest tenth.

V = 200.7

The volume is 200.7cm^3.

***(If your teacher/class/text/program says to use 3.14 for pi, the answer will come out as 200.6)

The a whole number or in simplest form is 2.2.

We are given that;

Right rectangle length=33 and height=11, left triangle length=11 height=5

Now,

The length of the right rectangle is 33 and the length of the left rectangle is 11. To find the scale factor, we divide the length of the right rectangle by the length of the left rectangle:

33 / 11 = 3

This means that the right rectangle is 3 times as long as the left rectangle. The scale factor is 3.

We can check our answer by comparing the heights:

The height of the right rectangle is 11 and the height of the left rectangle is 5. To find the scale factor, we divide the height of the right rectangle by the height of the left rectangle:

11 / 5 = 2.2

Therefore, by fraction the answer will be 2.2.

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The many log statement 2log(w) + log(7) - 3log(x) - 8log(y) converted to a single log statement is  [tex]log(\frac{7w^2}{x^3y^8})[/tex].

Given the logarithm expression in the question:

2log(w) + log(7) - 3log(x) - 8log(y)

To convert the logarithm into a single logarithm.

First, simplify using the logarithmic rule:

nlog(a) = log(aⁿ)

Hence:

2log(w) + log(7) - 3log(x) - 8log(y)

log( w² ) + log(7) - log( x³ ) - log( y⁸ )

Next, using the product property of logarithm.

log(a) + log(b) = log(ab)

log( 7w²) - log( x³ ) - log( y⁸ )

Using the quotient property of logarithm.

log(a) - log(b) = log(a/b)

log( 7w²/x³ ) - log( y⁸ )

Still using the quotient property of logarithm.

[tex]log( \frac{\frac{7w^2}{x^3} }{y^8} ) \\ \\Simplify\\\\log( \frac{7w^2}{x^3}*\frac{1}{y^8})\\ \\ log(\frac{7w^2}{x^3y^8})[/tex]

Therefore, the single log is [tex]log(\frac{7w^2}{x^3y^8})[/tex].

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Answer: $1.69

Step-by-step explanation:

To find Lenaert's expected gain, we need to calculate the average value of a single bill if he selects and keeps one bill from the bag.

First, let's calculate the total value of all the bills in the bag:

3 x $1 = $3

5 x $5 = $25

6 x $10 = $60

1 x $20 = $20

Total value = $3 + $25 + $60 + $20 = $108

Now, let's calculate the probability of selecting each type of bill:

Probability of selecting a $1 bill = 3/15 = 0.2

Probability of selecting a $5 bill = 5/15 = 0.33

Probability of selecting a $10 bill = 6/15 = 0.4

Probability of selecting a $20 bill = 1/15 = 0.067

Finally, we can calculate the expected value of a single bill with the formula:

Expected value = (probability of selecting a bill) x (value of the bill)

So Lenaert's expected gain if he selects and keeps one bill from the bag is:

(0.2 x $1) + (0.33 x $5) + (0.4 x $10) + (0.067 x $20) = $1.69

Therefore, Lenaert can expect to gain an average of $1.69 if he selects and keeps one bill from the bag.

The experimental probability of the next balloon sold being green is 4/15.

Probability is a crucial concept in the field of mathematics that is used to measure the likelihood of an event happening.

According to the information given, the number of green balloons sold is 20, and the total number of balloons sold is the sum of all the colors, which is:

20 + 17 + 12 + 19 + 7 = 75

Now we can use these numbers to calculate the experimental probability of a green balloon being sold:

Experimental probability of a green balloon being sold = Number of green balloons sold / Total number of balloons sold

Experimental probability of a green balloon being sold = 20 / 75

Experimental probability of a green balloon being sold = 4/15

This means that if we randomly select a balloon from the store, the likelihood of it being green is 4 out of 15 or approximately 0.27 or 27%.

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Answer:

4/15

Step-by-step explanation:

The following statements are true:

Line AB and line CG are parallel.

Line CG and line RS are perpendicular.

Line segment CG lies in plane X.

Given information:

Planes X and Y intersect at a right angle.

Lies in plane X and do not intersect.

A) Line AB and Line CG are parallel: As both lines, AB and CG lie in plane X.

Thus, both are parallel and options A is the correct option.

B) Line AB and Line RS are parallel: As the line, AB lies in the plane X and the line RS lies in the plane Y.

Thus both are perpendicular and not parallel. Option B is the incorrect option.

C) Line CG and Line RS are perpendiculars: As the line CG lies in the plane x and the line RS lies in the plane Y.

Thus both are perpendicular. Option C is the correct option.

D) Line AB and Line RS must intersect: line RS passes from the middle of the plane Y and line AB passes from the left of the plane X centre.

Thus they do not intersect each other. Option D is the incorrect option.

E) Line segment CG lies in plane X: As shown in the diagram, line CG lies in plane X. Thus option E is the correct option.

F) Line segment RS lies in plane X: As shown in the diagram, and the line lies RS in plane Y. Thus option F is the incorrect option.

Hence, the following statements are true:

Line AB and line CG are parallel.

Line CG and line RS are perpendicular.

Line segment CG lies in plane X.

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The complete question is =

Planes X and Y intersect at a right angle. Line A B and Line C G lie in plane X and do not intersect. Line R S lies in plane Y.

Vertical plane x intersects horizontal plane y. Line R S is horizontal on plane y. Lines A B and C G are vertical and beside each other on plane x. A right angle is indicated between the lines on the y plane and x plane. Lines A B and D G are parallel.

Which statements are true? Select three options.

Line A B and Line C G are parallel.

Line A B and Line R S are parallel.

Line C G and Line R S are perpendicular.

Line A B and Line R S must intersect.

Line segment C G lies in plane X.

Line segment R S lies in plane X.

The value of x is 18.9( 1 decimal place).

The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.

sin(tetha) = opp/hyp

cos(tetha) = adj/hyp

tan(tetha) = opp/adj

The inverse of sin , cos and tan are cosec, sec and cot respectively.

Here, opposite side to the angle is x and the adjascent is 17, therefore to calculate the value of x, we use tan function.

tan 48 = x/17

x = tan48 × 17

x = 1.111 × 17

x = 18.9( 1 d.p)

therefore the value of x is 18.9

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Answer:

Step-by-step explanation:

Quadratics Practice (Up to Quiz 8-1) Flashcards

its on quizlet<3

The number of prescriptions were filtered in second hour that is the value of missing data is 13.

Hence, the correct option is (A).

We know that the mean of a data set is given by,

Mean = Total value of observations/Number of observations.

Here numbers of prescriptions in each hour of 8 hours be 18, x, 22, 25, 16, 24, 22, 28.

So the total value of observations = 18 + x + 22 + 25 + 16 + 24 + 22 + 28 = 155 + x

Number of observations here the number of hours = 8.

So the mean = (155 + x)/8

and given that mean is 21.

According to data we can say that,

(155 + x)/8 = 21

155 + x = 21*8 = 168

x = 168 - 155 = 13

So the number of prescriptions were filtered in second hour is 13.

So the correct option is (A).

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