In the xy-plane, what is the y-intercept of the graph of the equation y = 6 (x - 1) (x + 3)? ​

Answer:

Step-by-step explanation:

Set notation { } is used in this case, to represent the domain and the range.

The values that go into T are the domain while the values that come out of T are the range.

The domain comprises all x (independent) values while the range comprises all y (dependent) values.

This should be applied in the clear definition of the relation T.

Answer:

Step-by-step explanation:

b

The values that used to create the box and whisker plot

[using these values]

Minimum value: Lower whisker: 12

Q1: 23.5

Q2 (median): 36

Q3: 46

Maximum value: Upper whisker: 56

Here, we have,

Step 1: Order the data set from smallest to largest:

12, 19, 28, 32, 34, 38, 45, 47, 50, 56

Step 2: Calculate the lower quartile (Q1), median (Q2), and upper quartile (Q3):

Q1 (25th percentile): The value that separates the lowest 25% of the data from the rest. Since we have 10 data points, the first quartile will be the average of the 2.5th and 3.5th data points. In our case, it's the average of the 2nd and 3rd data points:

Q1 = (19 + 28) / 2 = 23.5

Q2 (50th percentile or median): The value that separates the lowest 50% of the data from the rest. Since we have an even number of data points, the median will be the average of the 5th and 6th data points:

Q2 = (34 + 38) / 2 = 36

Q3 (75th percentile): The value that separates the lowest 75% of the data from the rest. Since we have 10 data points, the third quartile will be the average of the 7.5th and 8.5th data points. In our case, it's the average of the 7th and 8th data points:

Q3 = (45 + 47) / 2 = 46

Step 3: Calculate the interquartile range (IQR):

IQR = Q3 - Q1 = 46 - 23.5 = 22.5

Step 4: Determine the whiskers:

Lower whisker: The smallest value that is not smaller than Q1 - 1.5 * IQR

Upper whisker: The largest value that is not larger than Q3 + 1.5 * IQR

Lower whisker limit: 23.5 - 1.5 * 22.5 = -10

Upper whisker limit: 46 + 1.5 * 22.5 = 79.5

Our data points are all within these limits, so the lower whisker is at the smallest value, 12, and the upper whisker is at the largest value, 56.

Now, you can plot the box and whisker plot using these values:

Minimum value : Lower whisker: 12

Q1: 23.5

Q2 (median): 36

Q3: 46

Maximum value: Upper whisker: 56

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create a box and whisker plot for the following set of data

12, 19, 28, 32, 34, 38, 45, 47, 50, 56

Answer:

d) 63 square units

Step-by-step explanation:

x = 3 units (base - b)

y = 6 units (width - w)

h = 7 units (length and height - l and h)

For the triangles:

Area of a triangle: 1/2*b*h

A = 1/2 * 3 * 7

A = 1/2 * 21

A = 10.5

*Since there are two triangles, it would be 10.5 * 2 = 21

For the rectangle:

Area of a rectangle: l*w

A = 7 * 6

A = 42

Now, we add them together:

A = 42 + 21

A = 63 square units

Therefore, the area of the parallelogram is 63 square units

Hope this helps!

Answer:-7

Step-by-step explanation:

|-5 - 4| = -9

|1 + -3|= -2

|-9 - -2| = -7

Answer:

Step-by-step explanation:

\(|a-b|-|c+d|=|-5-4|-|1+(-3)|=|-9|-|-2|=9-2=7\)

Absolute value is just the distance from 0 and therefore is always positive.

Answer:

1.a=5cm

Surface area :6a²=6×5²=150cm²

2.r=3cm

h=5cm

total surface area of cylinder =2πr(r+h)

=2π×3(3+5)=48π cm²

3.

l=4m

b=5m

h=2m

now.surface area =2(lb+lh+bh)

=2(4*5+4*2+5*2)

=76m²

4.

r=6cm

surface area =4πr²=4*π*6²=144πcm²

5.

slant height (S)=8cm

length =breadth=(L)=4cm

Surface area of pyramid =area of base + 2* area of trainglular face

=L²+2*S*L

=4²+2*8*4

=80cm²

Question 24 :

P594.65 : 35 days

P594.65/7 : 35/7 days

P84.95 : 5 days

⇒ A. P84.95

Question 25 :

88.75 + 85.5 + 90.5 + 87.25 / 4

352/4

88

⇒ B. 88

Question 26 :

I = P × r × t

I = 580.00 × 0.065 × 1

I = P37.70

⇒ B. P37.70

The freighter is approximately 164.33 miles from the city.

We can use the Law of Cosines to solve this problem. Let's label the distances as follows:

d: distance between the city and the freighter

x: distance between the city and the island

y: distance between the island and the freighter

First, we need to find x using the given coordinates:

N23°38'W is equivalent to S23°38'E, so we have:

cos(23°38') = x/48

x = 48cos(23°38') ≈ 42.67 miles

Next, we can use the coordinates of the freighter to find y:

N11°26'E is equivalent to E11°26'N, and N12°16'W is equivalent to S12°16'E. This means that the angle between the island and the freighter is:

23°38' + 11°26' + 12°16' = 47°20'

cos(47°20') = y/d

We can rearrange this equation to solve for y:

y = dcos(47°20')

Now we can use the Law of Cosines to solve for d:

d² = x² + y² - 2xy cos(90° - 47°20')

d² = 42.67² + (d cos(47°20'))² - 2(42.67)(d cos(47°20')) sin(47°20')

d² = 1822.44 + d² cos²(47°20') - 2(42.67)(d cos(47°20')) sin(47°20')

d² - d² cos²(47°20') = 1822.44 - 2(42.67)(d cos(47°20')) sin(47°20')

d² (1 - cos²(47°20')) = 1822.44 - 2(42.67)(d cos(47°20')) sin(47°20')

d² sin²(47°20') = 1822.44 - 2(42.67)(d cos(47°20')) sin(47°20')

d² = (1822.44 - 2(42.67)(d cos(47°20')) sin(47°20')) / sin²(47°20')

d ≈ 164.33 miles

Therefore, the freighter is approximately 164.33 miles from the city.

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The value of the expressions will be:

2x² + 3x + 4, when x=1 is equal to 9.

(x+y)², when x=2 and y=2 is equal to 16.

5x² + 2x, when x=2 is equal to 24.

(x+y)³, when x=7 and y=3 is equal to 1000.

2x² + 3x + 4, when x=1 is:

= 2(1)² + 3 + 4

= 2 + 3 + 4

= 9.

(x+y)², when x=2 and y=2 is equal to:

= (2 + 2)²

= 4²

= 16.

5x² + 2x, when x=2 is equal to:

= 5(2)² + 2(2)

= 20 + 4

= 24.

(x+y)³, when x=7 and y=3 is equal to:

= (7 + 3)³

= 10³

= 1000.

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Answer:

13.75 m/sec

Step-by-step explanation:

Since the 'per second' part stays the same, simply multiply 22 kilometers by the reciprocal of 1.6:

\(22(\frac{1}{1.6})\)

then simplify the fraction:

\(= 22(\frac{10}{16})\)

\(= 22(\frac{5}{8})\)

and solve to get

\(= 13 \frac{3}{4}\) miles per second as the answer.

or optionally:

13.75 m/sec

Answer:

Correct answers are:

g(x) has the maximum greatest value.

h(x) has a a range of all negative numbers.

Step-by-step explanation:

Let us learn about the domain and range of a function first.

Domain of a function is the input that we give to the function for which there is a valid output.

For example, let us consider a function:

\(y=F(x) = x^2\)

So, the value of 'x' that we provide to the function is known as the domain of function.

Range of a function is the output value when any input is given to the function.

For example,

\(y=F(x) = x^2\)

Let us put x = 4, which will be in the domain of function.

the output will be y = 16 which will be in the range of the function.

Now, let us consider the given functions f(x), g(x) and h(x).

Domain of f(x) i.e. the value of x for which the output is defined is:

{-2, -1, 1, 2}

Range of f(x) = \(\{4, 4\frac{1}2, 5\frac{1}2, 6\}\)

Max value of f(x) = 6

Domain of g(x) i.e. the value of x for which the output is defined is:

{-2, -1, 1, 2}

Range of g(x) = \(\{6, 6\frac{1}2, 7\frac{1}2, 8\}\)

Max value of g(x) = 8

Domain of h(x) i.e. the value of x for which the output is defined is:

{-2, -1, 1}

Range of h(x) = \(\{-3, -2\frac{1}2, -1\frac{1}2\}\)

Max value of h(x) = \(-1\frac{1}2\)

For x = 2, the value of h(x) is not given i.e. it is not defined at x = 2, so it is not in the domain. So, domain of all the three functions is not same.

So, the correct options are:

g(x) has the maximum greatest value.

h(x) has a a range of all negative numbers.

Answer:

B,D

Step-by-step explanation:

Edge 2020 100%

\(\huge\mathcal {♨Answer♥}\)

(01)

(02)

(03) Yes, The xavier is correct.

8.953 > 8

8.953 < 9

8.953 is bigger than 8 and smaller than 9.

9.000 - 8.953 = 0.047

(04)

(05)

(06)

(07)

(08)

☆...hope this helps...☆

_♡_mashi_♡_

The perimeter of the square is 16√5 mm, and the area of the square is 80 mm².

To calculate the perimeter and area of the square, we can use the formulas:

Perimeter = 4 * side length

Area = side length * side length

Substituting the given side length of 4√5mm into the formulas, we have:

Perimeter = 4 * 4√5mm = 16√5mm

Area = (4√5mm) * (4√5mm) = 16 * 5mm = 80mm²

Therefore, the perimeter of the square is 16√5mm, and the area of the square is 80mm².

Please note that the values are based on the provided side length of 4√5mm. If there are any changes to the side length, the perimeter and area will differ accordingly.

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The perimeter of the square is 16√5 mm, and the area of the square is 80 mm².

I took the test on plato.

Answer: and I oop skssss

Step-by-step explanation:

Scores between 23 & 59 will give Paul a C for the semester (an average between 70 and 79).

The sum of the scores on the first three, hundred point tests

= 82 + 88 + 87 = 257.

The total score required in four 100-point tests to get an average score of 70 = 70X4= 280.

The total score required in four 100-point tests to get an average score of 79 = 79X4= 316.

Therefore, the score on the fourth test should be between (280-257) & (316-57) i.e, 23 & 59 to get an average score of 70 & 79.

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Answer:

It's a isosceles triangle, i am not saying its clearly implied in the diagram with the red lines.... Which state that both the sides have same length

Hence if on ne side makes 55 with the base therefore the side with same length will make 55 with the base too

Hence its

55+55+x=180

X= 180-55-55

X= 70 degree

Therefore x is 70 degree

Answer:234534 pounds greater

Step-by-step explanation: 230,99987389x7=76

The numbered spot at which all the runners will be next to one another is spot 19.

Least Common Multiple is the meaning of the acronym LCM. The lowest number that may be divided by both numbers is known as the least common multiple (LCM) of two numbers. It may also be computed using two or more real numbers.

Starting with the runner on the outside track, the provided parameters are;

The runner covered n₁ = 5 places on the outside track, which is the number of spaces.

Next, the inner runner will traverse n₂ spaces, which equals one space.

The following inner runner will cover n₃ = 3 spaces.

The subsequent runner will traverse n₄ = 2 spaces.

The Lowest Common Multiple, or LCM, of all the runners' speeds or the total number of spaces they cover in the same amount of time, determines where all the runners will be placed next to one another.

LCM(5, 1, 3, 2) = 30 is the LCM of 5, 1, 3, and 2.

Time = 30/ = 6

Consequently, when the first runner has covered 30 places, we have;

Six time units have been expended.

The runner comes to a stop at position 30- (30 -19) = Position 19.

First runner's new destination is Spot 19.

The distance covered simultaneously by runner 2 is 6 x 1 = 6.

The distance covered by two runners running simultaneously equals six spaces.

Second runner's new position: 6 spaces plus spot 13 equals spot 19.

The combined distance covered by the three runners is 6 x 3 = 18.

The distance runner 3 covers 18 spaces simultaneously.

Third runner's new position: 18 spaces + Spot 1 = 19 spaces

Runner 4 covers a distance of 6 x 2 = 12 at the same time.

Distance runner 4 journeys equals 12 spaces

Runner 4's new position is now 12 spaces Plus Spot 7 = Spot 19.

Therefore, all the runners will be next to one another is spot 19.

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Answer: $400

Step-by-step explanation:

Discount = 15%

The original price/value of an item is always 100%

So selling price (%) = original price - discount = 100%-15% = 85%

We got selling price as 85%

This implies that 85% = 340

Let's find 1% first, then 100%

1% = 340÷85 = 4

100% = 4 × 100 = $400

The usual (normal/original) price is $400

Juan sold a bicycle at a discount of 15% if the selling price was $340 then the usual price of the bicycle was $400.

percentage, a relative value indicating hundredth parts of any quantity.

Let's represent the usual price of the bicycle by P.

Since Juan sold the bicycle at a discount of 15%, the selling price (S) would be 85% of the usual price (P).

We can express this relationship as an equation:

S = 0.85P

We also know that the selling price of the bicycle was $340.

Substituting S = $340 into the equation above, we get:

$340 = 0.85P

To find P, we can solve for it:

P = $340 / 0.85

P = $400

Therefore, the usual price of the bicycle was $400.

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The percent of the bags of chips weigh less than 176 grams is b 16%

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

Mean = 180

Standard deviation = 4

Bags of chips weigh less than 176 grams

This means that

x = 176

So, the z-score is

z = (176 - 180)/4

Evaluate

z = -1

The percent of the bags of chips weigh less than 176 grams is represented as

P = P(z < -1)

Using a graphing calculator, we have

Percentage = 0.15866

So, we have

Percentage = 16%

Hence , the percentage is 16%

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Answer:

0.8919 = 89.19% probability of filling a cup between 33 and 35 ounces.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

A soft drink machine outputs a mean of 29 ounces per cup. The machine's output is normally distributed with a standard deviation of 4 ounces.

This means that \(\mu = 29, \sigma = 4\)

What is the probability of filling a cup between 33 and 35 ounces?

This is the p-value of Z when X = 35 subtracted by the p-value of Z when X = 33.

X = 35

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{35 - 29}{4}\)

\(Z = 1.5\)

\(Z = 1.5\) has a p-value of 0.9332.

X = 33

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{33 - 29}{4}\)

\(Z = 1\)

\(Z = 1\) has a p-value of 0.0413.

0.9332 - 0.0413 = 0.8919

0.8919 = 89.19% probability of filling a cup between 33 and 35 ounces.

Answer:

0.1598

Step-by-step explanation:

Answer:

It really depends on how much percent of your overall grade tests count as. But, usually they count for about 60% of your grade (depending on what grade you are in). You have about 65% at the lowest and a 75% at the highest. But, I'm just going by what my school does, I don't know how your school grades tests.

Step-by-step explanation:

Answer:

\(The\) \(Answer\) \(Is:\) \(\frac{3}{9}\) \(&\)& \(\frac{5}{15}\)

Step-by-step explanation:

Divide by 4 , 2nd fraction Divide by 5:

3/4 ≠ 4/5

5/6 ≠ 6/5 We can already see it.

Divide by 3. . .

2/4 ≠ 3/4

Divide by 3 , 2nd fraction Divide by 5:

1/3 = 1/3 \(Perfect!\)

The answer is, \(\frac{3}{9}\) & \(\frac{5}{15}\)

Answer: -27/8

Step-by-step explanation:

9 (-2/3)(3/4)^2

(-18/3)(9/16)

(-6)(9/16)

-(6*9)/16

-54/16

-27/8

Answer:

Since the part we can see is half of the whole figure, and there are six sides then in total there are 12 sides. A "12-gon" is called a dodecahedron. This is the answer.

Dodecahedron is the name of the platonic solid, option A is correct.

a polygon is a plane figure made up of line segments connected to form a closed polygonal chain

A dodecahedron or duodecahedron is any polyhedron with twelve flat faces.

The most familiar dodecahedron is the regular dodecahedron with regular pentagons as faces, which is a Platonic solid.

A regular dodecahedron has 12 faces and 20 vertices, whereas a regular icosahedron has 20 faces and 12 vertices. Both have 30 edges.

Hence,  dodecahedron is the name of the platonic solid shown.

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Answer:

12

Step-by-step explanation:

equation is 4P2

answer would be 12

41/2 days is equivalent tο 492 hοurs.

Divisiοn is an arithmetic οperatiοn that invοlves splitting a quantity intο equal parts οr determining hοw many times οne quantity is cοntained within anοther. It is cοmmοnly denοted by the symbοl ÷ οr /, and can be written as a fractiοn οr as a ratiο.

We knοw that there are 24 hοurs in day therefοre,

Tο cοnvert 41/2 days tο hοurs, we can use the fact that there are 24 hοurs in οne day:

41/2 days x 24 hοurs/day = 41 x 12 = 492 hοurs

Therefοre, 41/2 days is equal tο 492 hοurs.

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If the acceleration of the object becomes 9m/s², the force will be 24N

From the information, the moving object, the force acting on the object varies directly with the object's acceleration. When a force of 36N acts on a certain object, the acceleration of the object is 6m/s². The constant will be:

y = k/x

y = force.

x = acceleration

k = constant of proportionality.

k = 36 × 6

k = 216

If the acceleration of the object becomes 9m/s², the force will be:

= 216 / 9

= 24

The force is 24N.

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The number that is thought in the form of expression will be 2x - 4.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Let the number be 'x'. Then the expression is given as,

⇒ (x - 4) × 2

Simplify the expression, then we have

⇒ (x - 4) × 2

⇒ 2x - 4

The number that is thought in the form of expression will be 2x - 4.

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Answer:

x = 47

Step-by-step explanation:

x + 121 = 4x - 20

-3x + 121 = - 20

-3x = -141

x = 47

So, the answer is x = 47