4. Do you agree with the statement that“ cubic functions must have at least 1 x-intercept but not more than 3, whereas quadratic functions may or may not have x-intercepts.
Provide evidence to support your answer.

Nora covered a total distance of 13 miles during these sessions.

The parameter is represented by the line plot.

We can find the following frequency table from the line plot:

Distance   Frequency

0                    0

1/2                  4

1                     3

1 1/2               1

2                    2

2 1/2               1

3                    0

The overall separation from the line plot is then shown as

Total distance = sum of the distance-frequency product

The following equation can be found in mathematics.

Total distance = (0 * 0) + (1/2 * 4) + (1 * 3) + (1 1/2 * 1) + (2 * 2) + (2 1/2 * 1) +

(3 * 0)

Rank the total number of products

Total distance = 13

The total distance is therefore 13 units.

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Answer:

We use the rule,

\((a^b)^c = a^{bc}\)

a. (10^7)²

\((10^7)^2 = 10^{(7)(2)} = 10^{14}\)

10^14

b. (10^9)³

\((10^9)^3 = 10^{(9)(3)} = 10^{27}\)

10^27

c. (10^6)³

\(10^{(6)(3)}= 10^{18}\)

10^18

d. (10^2)³

\(10^{(2)(3)} = 10^{6}\)

10^6

e. (10³)²

\(10^{(3)(2)}=10^{6}\)

10^6

f. (10^5)^7

\(10^{(5)(7)} = 10^{35}\)

10^35

Step-by-step explanation:

Answer:

-------------------

As per recipe, 700 g apples is enough to make apple crumble for 8 people.

For 6 people Shahina needs:

Since she has 550 grams of apple, which is more than 525 grams, she can make it for 6 people.

Answer:

With 550g of apples and enough other ingredients, Shahina can make apple crumble for 6 people according to the given recipe.

Step-by-step explanation:

Let's compare the recipe requirements with the available ingredients to determine whether Shahina can make apple crumble for 6 people with the given ingredients.

The recipe serves 8 people and requires the following quantities of ingredients:

Shahina has 550g of apples, which is sufficient to meet the apple requirement of the recipe.

Now, let's calculate the ratio of the other ingredients needed per person

For sugar:

240g / 8 people = 30g/person

For flour:

180g / 8 people = 22.5g/person

For butter:

40g / 8 people = 5g/person

Since the recipe is designed to serve 8 people, we can use these ratios to adjust the quantities for 6 people:

For sugar:

30g/person * 6 people = 180g

For flour:

22.5g/person * 6 people = 135g

For butter:

5g/person * 6 people = 30g

Comparing these adjusted quantities to the available ingredients, we see that Shahina has enough sugar, flour, and butter to make an apple crumble for 6 people.

Using the standard normal distribution table, the area under the curve is 0.949 squared units

The area under the standard normal curve corresponding to z > -1.62 can be found using a standard normal distribution table. The table gives us the proportion of the area under the standard normal curve that is to the left of a certain z-value. To find the area to the right of -1.62, we subtract the area to the left of -1.62 from 1.

From the standard normal distribution table, the area to the left of -1.62 is approximately 0.051. Therefore, the area to the right of -1.62 is 1 - 0.051 = 0.949.

So, the area under the standard normal curve corresponding to z > -1.62 is approximately 0.949.

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The probability that their mean weight gain during freshman year is between 0 kg and 3 kg is 70%

It is a branch of mathematics that deals with the occurrence of a random event.

Given,

Amounts of weight that male college students gain during their freshman year are normally distributed

mean of μ = 1.1 kg and

Standard deviation of o= 4.6 kg.

Z score=x-μ/o

=25-1.1/4.6

=23.9/4.6

=5.196

Z score=x-μ/o

=25-1.1/0

=0

Z score=25-1.1/3

=23.9/3

=7.966

By observing the z table the probability that their mean weight gain during freshman year is between 0 kg and 3 kg is 70%

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you can start by dividing the total length of the road by the distance that can be repaired per week:

13 km ÷ 3 1/2 km/week = 3.71 weeks

Rounding up, it will take 4 weeks to repair the entire 13 km stretch of road.

Answer: Posted in the picture

Step-by-step explanation: -2/5 is to the left since it is the x axis

and -3 is down since it is the y axis, so the answer is the black dot, on the left of the -3.

Hope this helps

And I hope I am right

The number of pennies weighing as much s earth is  193 × 10²⁴

Index forms are described as described as those forms that are used to represent numbers that are too large or small in more proper ways.

Other names for index forms are scientific notation and standard forms.

Ratio is described as the comparison of numbers or variables on the basis of their size.

It shows how many times one number contains another.

From the information given, we have that;

The earth weighs = 5. 972 × 10 ²⁴ kilograms

The penny weighs = 3.1 × 10 ⁻³ kilograms

Divide the values

= 5. 972 × 10 ²⁴/3.1 × 10 ⁻³

= 1.93 × 10 ²⁶

= 193 × 10²⁴

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Answer:

12.7  ==> distance of RS

24.2 ==> distance of RT

Step-by-step explanation:

Distance is always positive. So if you get a negative value, take the absolute value of the negative number:

For example, between point R and S:

-17.2 - (-4.5) =

-17.2 + 4.5 =  ==> subtracting a negative number is equivalent to adding a

                           positive number

-(17.2 - 4.5) = -12.7

-12.7 ==> |-12.7| = 12.7  ==> distance of RS

For RT:

-17.2 - 7 =

-(17.2 + 7) = -24.2

-24.2 ==> |-24.2| = 24.2 ==> distance of RT

The volume of right rectangular prism = 42 1/2 cm³.

We have,

height of prism = 2 cm

width of prism = 5 cm

length of prism = 4 1/4 cm  

Now, The volume of right rectangular prism = Length × Width × Height

Substitute all the values, we get;

= 2 × 5 × 4 1/4

= 10 × 17/4

= 170/4 cm³

= 42 1/2 cm³

Thus, The volume of right rectangular prism = 42 1/2 cm³

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According to the calculations we can conclude that Rosa can play 21 more minutes on Monday.

If 9 minutes represents 30% of the time Rosa can play video games, we can use proportional reasoning to find the total time she can play. Let x be the total time she can play in minutes.

9 / x = 30 / 100

We might cross-multiply and simplify to find x's value:

9 * 100 = 30 * x

900 = 30x

x = 900 / 30

x = 30

So Rosa can play a total of 30 minutes each day.

To find how many more minutes she can play on Monday, we subtract the time she has already played from the total time:

30 - 9 = 21

Therefore, Rosa can play 21 more minutes on Monday.

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Answer:

4

Step-by-step explanation:

We need to rewrite this in slope-intercept for which is

y=mx+b

So switch 4x and -5

y=4x-5

m is slope and b is y-intercept we need to find the slope so we look what is beside x which is 4 so the slope is 4

Hope this helps!

Answer:

600,000

Step-by-step explanation:

60,000 x 10

Answer:

hello

Step-by-step explanation:

have a great day...

Answer:

The  probability is   \(P(X < 3) = P(X \le 3-1 = 2 ) = 0.8074\)        

Step-by-step explanation:

From the question we are told that

   The  probability of a tornado is \(p = 0.11\)

    The sample  size is  \(n = 14\)

Since the number of tornadoes in any calendar year is independent of the number of tornadoes in any other calendar year and  there can be  only  outcome so we can evaluate probability using binomial distribution.

The probability of a tornado not occurring is mathematically evaluated

         \(q = 1 - p\)

=>      \(q = 1 - 0.11\)

=>      \(q = 0.89\)

The probability that there are fewer than 3 tornadoes in a 14-year period is mathematically represented as

      \(P(X < 3) = P(X \le 3-1 = 2 ) = \left n } \atop {}} \right. C_2 * p ^2 q^{n- 2 } + \left n } \atop {}} \right. C_1 * p ^1 q^{n- 1 } + \left n } \atop {}} \right. C_0 * p ^r q^{n- 0 }\)

      \(P(X < 3) = P(X \le 3-1 = 2 ) = \left 14 } \atop {}} \right. C_2 * (0.11) ^2 (0.89)^{14- 2 } + \left 14 } \atop {}} \right. C_1 * (0.11) ^1 (0.89)^{14- 1 } + \left 14 } \atop {}} \right. C_0 * (0.11) ^0 (0.89)^{14- 0 }\)

       \(P(X < 3) = P(X \le 3-1 = 2 ) = 91 * 0.0121*0.247 + 14 * 0.11*0.2198 + 1 * 1 * 0.197\)

\(P(X < 3) = P(X \le 3-1 = 2 ) = 0.8074\)        

The decimal equivalent of the largest Absolute value, 987654321, is 987,654,321.  the largest absolute value is 987,654,321 and the smallest absolute value is 123,456,789.

The largest and smallest absolute values using the digits 1 to 9, we need to arrange them in a way that maximizes or minimizes the resulting number. Let's consider the boxes as placeholders for the digits.

To determine the largest absolute value:

We place the digit 9 in the leftmost box, as it is the largest digit among 1 to 9. Then we arrange the remaining digits, 8, 7, 6, 5, 4, 3, 2, and 1, from largest to smallest in the remaining boxes. This gives us the number 987654321, which is the largest possible number using the given digits. Therefore, the largest absolute value is 987654321.

To determine the smallest absolute value:

We place the digit 1 in the leftmost box, as it is the smallest digit among 1 to 9. Then we arrange the remaining digits, 2, 3, 4, 5, 6, 7, 8, and 9, from smallest to largest in the remaining boxes. This gives us the number 123456789, which is the smallest possible number using the given digits. Therefore, the smallest absolute value is 123456789.

To find the decimal equivalent of these numbers, we simply read the digits from left to right. The decimal equivalent of the largest absolute value, 987654321, is 987,654,321. The decimal equivalent of the smallest absolute value, 123456789, is 123,456,789.

Thus, the largest absolute value is 987,654,321 and the smallest absolute value is 123,456,789.

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The dimensions of the box if it is to use the minimum possible amount of metal are,

⇒ 2.714 m, 2.714 m, 1.358 m

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

A container with an open top is to have 10 m³ capacity.

Now,

Let the dimensions are x, y and z.

Since, Volume of box = 10 m³

Hence, We get;

⇒ xyz = 10

⇒ z = 10/xy

Since, A container is open in top.

Hence, The surface area = 2xz + 2yz + xy

Substitute z = 10/xy;

⇒ S.A = 2x (10/xy) + 2y (10/xy) + xy

          = 20/y + 20/x + xy

For minimum metal;

⇒ d (S.A)/ dx = 0

⇒ - 20/x² + y = 0

⇒ y = 20/x²  ..(i)

And, d (S.A) / dy = 0

⇒ - 20/y² + x = 0

⇒ x = 20/y²   ..(ii)

Divide equation (i) and ((ii);

⇒ x = y

Hence, We get;

⇒ xyz = 10

⇒ x³ = 10

⇒ x = 2.714

And, y = 2.714

So, The value of z is,

⇒ z = 10/xy

⇒ z = 10 / 2.714×2.714

⇒ z = 1.358 m

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Answer: your wasting my time

Step-by-step explanation: stop wasting peoples time thank you

Answer:

A)

\(\left \{ {{80} \atop {20}} \} * \left \{ {{60} \atop {20}} \} * \left \{ {{40} \atop {20}} \} * \left \{ {{20} \atop {20}} \}\)

B)

\(\left \{ {{20+4-1} \atop {4-1}} \} = \left \{ {{23} \atop {3}} \}\)

C)

= \(\left \{ {{17+4+1} \atop {4-1}} \} = \left \{ {{20} \atop {3}} \}\)

D)

= \(\left \{ {{20} \atop {3}} \} - \left \{ {{17} \atop {3}} \}\)

Step-by-step explanation:

A) How many ways can you put all Jellybeans in a row

Total number of Jellybeans = 80

The first jellybeans = 20 yellow , second is 20 orange jellybeans , third is 20 red jellybeans , fourth is 20 green jellybeans

Therefore the number of ways the Jellybeans can be put in a row is :

\(\left \{ {{80} \atop {20}} \} * \left \{ {{60} \atop {20}} \} * \left \{ {{40} \atop {20}} \} * \left \{ {{20} \atop {20}} \}\)

B) How many ways are there to select a handful of 20 jellybeans

lets assume:

yellow jellybeans = a , orange jellybeans = b , red jellybeans = c , green jellybeans = d

a + b + c + d = 20

This is the number Non-negative integer solutions

= \(\left \{ {{20+4-1} \atop {4-1}} \} = \left \{ {{23} \atop {3}} \}\)

C) This is also the number of Non-negative integer solutions but in this case the value of C ≥ 3

hence the number of ways to select a handful of 20 jellybeans that contains at least 3 red

= \(\left \{ {{17+4+1} \atop {4-1}} \} = \left \{ {{20} \atop {3}} \}\)

D) In this case the value of C ≥ 3 and B ≤ 2

Hence the number of ways to select a handful of 20 jellybeans that contains at least 3 red and at most 2 orange

= \(\left \{ {{20} \atop {3}} \} - \left \{ {{17} \atop {3}} \}\)

Answer:

  B.  a line segment

Step-by-step explanation:

The wording "straight path" tells you the figure is a line or part of a line. The description "two endpoints" tells you the part of the line is bounded, hence must be ...

  a line segment

A. A circle has no end points is not a straight path

C. An angle is the space between two rays. Those have one common endpoint.

D. A ray is part of a line with one end point.

The value of a4 would be equal to -666.

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

Given that \(a_0=10\) and \(a_n+1=-5a_n\)

This is a recursive formula. So we can simply substitute in each value. For instance, a₂

Use the recursive definition repeatedly.

a2 = -5(6) +4 = -26

 a3 = -5(-26) +4 = 134

 a4 = -5(134) +4 = -666

Therefore, the value of a4 is -666

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Answer:

\(\huge\boxed{\text{2 hours, 54 minutes, and 58 seconds}}\)

Step-by-step explanation:

Logan can complete 1/5 of the job each hour, and Angis can complete 1/7 of the job each hour.  Thus, together, they complete 12/35 of the job per hour: (1/5 + 1/7 = 7/35 + 5/35 = 12/35).

In one hour they complete 12/35 of the job, so:

1 hour * 35 = 12/35 jobs

35 hours = 12 jobs

35 hours / 12 = 1 job

2.916 hours = 1 job

.916 hours = 54.96 minutes

.96 minutes = 57.6 seconds ≈ 58 seconds

Hope it helps :) and let me know if you want me to elaborate.

Answer:

Depends on the type of box, but most likely one box of crayons because 32 packs are sold.

Do you have answer choices?

Answer:

x=-1

Step-by-step explanation:

w-2=-8-5w

-2=-8-6w

+8 +8

6=-6w

divide 6 in both side

x=-1

hope this help.

By plugging in the values given into \(c * \frac{bc}{4} - (7 - a)\) and using BODMAS rule, the algebraic expression can be evaluated as 47

\(\mathbf{c * \frac{bc}{4} - (7 - a) = 47}\)

Given the algebraic expression, \(c * \frac{bc}{4} - (7 - a)\), to evaluate the expression if a = 4, b = 8, and c = 5, plug in the values into the equation as shown below:

\(5 * \frac{(8)(5)}{4} - (7 - 4)\\\)

\(5 * \frac{40}{4} - (3)\\\\5*10 - 3\)

Applying the BODMAS rule, multiply before you subtract

= 50 - 3

= 47

Therefore, by plugging in the values given into \(c * \frac{bc}{4} - (7 - a)\) and using BODMAS rule, the expression can be evaluated as 47

\(\mathbf{c * \frac{bc}{4} - (7 - a) = 47}\)

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11. Angle KEF = 40°, Angle KEJ = 50°

12. Angle HEF = 115°, Angle KED = 140°

13. Angle JEF = 90°, Angle KEF = 90°

14.   Angle DEF = 180°

The study of points, lines, and shapes in two and three dimensions, as well as their properties and relationships, is the focus of the mathematical discipline known as geometry.

11.  Acute angles: Those angles are less than 90 degree angles.

     Angle KEF = 40°

     Angle KEJ = 50°

     Angle KEH = 75°

     Angle JEH = 25°

     Angle HED = 65°

12. Obtuse angles: Those angles are more than 90 degree angles.

     Angle HEF = 115°

     Angle KED = 140°

13. Right angle: Those angles are 90 degree angle.

     Angle JEF = 90°

     Angle KEF = 90°

14. Straight angle: Those angles make 180 degree angle.

     Angle DEF = 180°

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Foreign direct investment helps improve the economic situation of a recipient country by increasing employment opportunities in the country that the company invests in.

When foreign companies invest in a recipient country, they often establish or expand their operations, which requires hiring local workers. This leads to job creation and reduces unemployment rates in the recipient country.

Increased employment opportunities result in more individuals having access to income and improved standards of living.

Foreign direct investment also contributes to the transfer of technology, knowledge, and skills to the recipient country. Multinational companies often bring advanced technologies, production techniques, and management practices that may not have been available or widely adopted in the recipient country.

Furthermore, foreign direct investment stimulates domestic investment and encourages the growth of local businesses. When foreign companies invest in a recipient country, they often form partnerships or engage in supply chain relationships with local firms.

Overall, foreign direct investment increases employment opportunities, fosters technology transfer, and stimulates domestic investment, all of which contribute to improving the economic situation of a recipient country.

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Answer:

1/2

Step-by-step explanation:

There are 4 possibilities:

First ball Second ball

1. Black Pink

2. Black Black

3. Pink Pink

4. Pink Black

The first and the forth options are the the probabilities that there is picked one ball for each color. (2 possibilities )

The second and the third options are the probabilities that there ate picked 2 balls of same colour.

(2 possibilities)

There are 4 possibilities in total. So the probability is 2/4=1/2

The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

From the figure, the area of triangles can be calculated using the:

Area = (1/2)height×base length

Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)

Area of three triangle = 1/2(24×3) = 36 square units

Area of the figure = area of three triangle + area of the rectangle

= 36 + 6×4

= 60 square units

Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

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