Sarah is 2 inches taller than the quotient of billy’s height and 5. Let b represent Billy’s height. write an expression that represents Sarah’s height

The vertex of the parabola is at (-2, 2), the line of symmetry of the parabola is at x = -2 and the parabola is open downwards

From the given parabola

The vertex of the parabola is at (-2, 2)

The vertex of the parabola is defined as the the point at the intersection of the parabola and its line of symmetry.

The line of symmetry is at x = -2

The parabola is open downwards

Hence, the vertex of the parabola is at (-2, 2), the line of symmetry of the parabola is at x = -2 and the given parabola is open downwards

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Answer:

69

Step-by-step explanation:

2y + x = 180 ( Linear Pair)

As x = 42

2y + 42 = 180

2y = 180- 42

2y = 138

y = 138/2

y = 69

Answer:

No.

Here's the break why it is not proportional...

\(3*4 = 12\\6*4=24\\9*4=36\\8*6=48\\10*6=60\)

The proportion breaks near the end because the multipliers no longer match.

Answer:

It is not proportional

Step-by-step explanation:

12 apples=$3                 60 apples=$10

/3               /3    But...     /10                /10

4 apples=$1                    6 apples=$1

The price went down so it's not proportional

Answer:

If this is for an f test, just use statcrunch lol

Step-by-step explanation:

Answer:

-2f - 16

Step-by-step explanation:

Combine Like Terms:

-2.8f +0.8f -13-3

-2f - 16

For the given matrix A, the minors M13, M23, M33 are 8, -4, and 10 respectively. The cofactors C13, C23, C33 are 8, 4, and 10 respectively. The determinant det(A) is 68.

To find the minors of a matrix, we need to find the determinants of the submatrices obtained by removing the row and column corresponding to the element of interest. In this case, the minors M13, M23, and M33 correspond to the determinants of the 2x2 submatrices obtained by removing the first row and the third column, second row and third column, and third row and third column, respectively.

To find the cofactors, we multiply each minor by a positive or negative sign based on its position in the matrix. The signs alternate starting with a positive sign for the top left element. In this case, the cofactors C13, C23, and C33 correspond to the minors M13, M23, and M33 respectively.

Finally, the determinant of a 3x3 matrix can be found by using the formula det(A) = a11C11 + a12C12 + a13C13, where a11, a12, and a13 are the elements of the first row of the matrix and C11, C12, and C13 are their corresponding cofactors. In this case, the determinant det(A) is 68.

Therefore, the minors M13, M23, M33 are 8, -4, and 10 respectively. The cofactors C13, C23, C33 are 8, 4, and 10 respectively. And the determinant det(A) is 68.

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Based on the given mean delivery time of 10:28am and the standard deviation of 0:55 mins, the estimated times within which 95% of the deliveries are made is (a) between 8:38 am and 12:18 pm.

To calculate this interval, we need to use the z-score formula, where we find the z-score corresponding to the 95th percentile, which is 1.96. Then, we multiply this z-score by the standard deviation and add/subtract it from the mean to get the upper and lower bounds of the interval.

The upper bound is calculated as 10:28 + (1.96 x 0:55) = 12:18 pm, and the lower bound is calculated as 10:28 - (1.96 x 0:55) = 8:38 am.

Therefore, we can conclude that the interval between 8:38 am and 12:18 pm represents the estimated times within which 95% of the deliveries are made based on the given mean delivery time and standard deviation.

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The correct answer is option D which is p ³+ 2; when p = 3 the number of plants is 29.

The complete question is given below:-

liana cubed the number of flowering plants in her garden, then added 2 vegetable plants. Let p represent the original number of plants in her garden. Which shows an expression to represent the total number of plants in her garden and the total number of plants if p = 3? 3 p minus 2; when p = 3 the number of plants is 7 3 p + 2; when p = 3 the number of plants is 11 p cubed minus 2; when p = 3 the number of plants is 25 p cubed + 2; when p = 3 the number of plants is 29

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The given expression is liana cubed the number of flowering plants in her garden, then added 2 vegetable plants.

If she cubed the number of the plants will be:- P³

Now she added two vegetable plants:- 2

Then the equation will be:- p³ + 2. Now we will put the value of p = 3 in the equation.

Total number of the plants = ( 3 )³ + 2 = 27 + 2 = 29

Therefore the correct answer is option D which is p³+ 2; when p = 3 the number of plants is 29.

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The circumference of the given circle is: 16πcm.

All points in a plane that are at a specific distance from a specific point, the center, form a circle. In other words, it is the curve that a moving point in a plane draws to keep its distance from a specific point constant.

Given: Area of a circle = 64π cm²

To find: Circumference of the circle.

Finding:

We know that the formula of the area of a circle = πr²,

On comparing it with the given value, we get:

πr² = π(64)

πr² = π(8)²

8² = r²

r = 8cm (as the side of a circle can never be negative).

Also, the formula of the circumference of a circle = 2πr

Thus, for the circle having radius 8 cm, circumference = 2π(8) = 16πcm.

Hence, The circumference of the given circle is: 16πcm.

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The main answer is that the infinite number of types of matter arises from the unique combinations of elements and their arrangements in terms of composition and geometry.

While the number of elements is limited, their combinations and arrangements allow for an infinite number of types of matter. Elements can combine in different ratios and configurations, forming various compounds and structures with distinct properties.

Additionally, the arrangement of atoms within a molecule or the spatial arrangement of molecules within a material can create different types of matter. These factors, along with the possibility of isotopes and different states of matter, contribute to the vast diversity and infinite types of matter despite the limited number of elements.

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To determine if there is evidence of a difference between the mean assembly times of employees trained in a computer-assisted, individual-based program and those trained in a team-based program, we can perform a two-sample t-test assuming equal variances.

a) Assumptions for the two-sample t-test:

1. Random sampling: The employees were randomly assigned to the two training groups. This assumption is satisfied as per the given information.

2. Independent samples: The assembly times of employees trained in the computer-assisted, individual-based program are independent of the assembly times of employees trained in the team-based program. This assumption is satisfied based on the random assignment of employees to the groups.

3. Normality: The assembly times within each group should follow a normal distribution. This assumption should be checked separately for each group using statistical tests or graphical methods such as normal probability plots or histograms.

4. Equal variances: The variances of assembly times in the two groups should be equal. This assumption can be tested using statistical tests such as Levene's test or by examining the ratio of the sample variances.

b) Other necessary assumptions:

1. Homogeneity of variances: As stated in the problem, the assumption is that the variances in the populations of the two training methods are equal. This assumption can be tested using statistical tests as mentioned above.

2. Independence of observations: The assembly times of one employee should not be influenced by the assembly times of other employees. This assumption is satisfied based on the information provided.

Once these assumptions are met, we can proceed with the two-sample t-test to test for a difference in the mean assembly times between the two training methods.

The test will provide a p-value that can be compared to the chosen level of significance (0.05) to determine if there is sufficient evidence to reject the null hypothesis of equal means.

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Answer:

1 2/3

Step-by-step explanation:

-4 1/3 ÷ -2 3/5

-13/3 ÷ -13/5

-13 x 5/ 3x -13

-65/-39

1 2/3

-14 is the value of the expression b - 3a at a =6 and b = 4.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Given an expression b - 3a

For this expression given,

a = 6 and b = 4

Thus the value of expression at given values

=> b - 3a

=> 4 - 3 * 6

=>4 - 18

=> -14

Therefore, the value of the expression b - 3a at a =6 and b = 4 is -14.

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Answer:

x = 24

Step-by-step explanation:

Now we have to,

→ find the required value of x.

The equation is,

→ x/12 = 2

Then the value of x will be,

→ x/12 = 2

→ x = 2 × 12

→ [ x = 24 ]

Hence, the value of x is 24.

\(\huge\text{Hey there!}\)

\(\mathsf{\dfrac{x}{12} = 2}\)

\(\mathsf{\dfrac{1}{12}x = 2}\)

\(\large\text{MULTIPLY 12 to BOTH SIDES}\)

\(\mathsf{\dfrac{1}{12}x\times 12 = 2 \times 12}\)

\(\large\text{Simplify it}\)

\(\mathsf{x = 12\times 2}\)

\(\mathsf{x = 24}\)

\(\huge\text{Therefore your answer should be:}\)

\(\huge\boxed{\mathsf{x = 24}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

Answer:

un prisma rectangular es una forma 3D con 6 caras rectangulares listo

Answer:The right answer is B

Step-by-step explanation:

If it's negative then it should be on the other side with one side down on the graph and one side on the left.(hope this helped you) :)

Answer:

nickel=2/5, quarter=4/15, dime=1/3

Step-by-step explanation:

Total number of coins in the bag = 6 + 5 + 4 = 15

Probability of getting a nickel =

\( \frac{6}{15} \)

which is also equivalent to

\( \frac{2}{5} \)

Probability of getting a quarter=

\( \frac{4}{15} \)

Probability of getting a dime=

\( \frac{5}{15} \)

which is equivalent to

\( \frac{1}{3} \)

Answer:

420

Step-by-step explanation:

We need to find the LCM of 1, 2, 3, 4, 5, 6 and 7. The LCM of 1, 2, and 4 is 4 and the LCM of 3 and 6 is 6 so the list becomes the LCM of 4, 5, 6 and 7. The LCM of 4 and 5 is 20, the LCM of 20 and 6 is 60 and the LCM of 60 and 7 is 420.

Answer:

420

Step-by-step explanation:

Prime factorization:

7 = 7

6 = 2 × 3

5 = 5

4 = 2 × 2

3 = 3

2 = 2

1 =  1

LCM: 7, 6, 5, 4, 3, 2, 1

2 × 2 × 3 × 5 × 7  = 420

Answer:

9

Step-by-step explanation:

I think you may be in the wrong level.

Division is one of the four fundamental arithmetic operations. The number of friends to whom Tyrell distributed cards is 9.

The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

Given that Tyrell gave 3 packs of baseball cards to his friends, while he gave each friend 1/3 of a pack. Therefore, the number of friends to whom Tyrell distributed cards can be found by dividing the total number of a deck of cards that Tyrell has by the number of cards that each of Tyrell's friends will have.

Thus, the number of friends to whom Tyrell distributed cards is,

Number of friends

= Total number of decks/ Cards each friend gets

= 3 packs / (1/3) packs per friend

= (3×3)/1 friends

= 9 friends

Hence, the number of friends to whom Tyrell distributed cards is 9.

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To find the number z such that the proportion of observations that are less than z in a standard normal distribution is 0.8, we need to determine the z-score that corresponds to a cumulative probability of 0.8.

In a standard normal distribution, the cumulative probability corresponds to the area under the curve to the left of a given z-score. Since we want to find the z-score that corresponds to a cumulative probability of 0.8, we are essentially looking for the value of z that leaves 80% of the area under the curve to the left.

Using a standard normal distribution table or a statistical calculator, we can find that the z-score that corresponds to a cumulative probability of 0.8 is approximately 0.84. This means that approximately 80% of the observations in a standard normal distribution are less than 0.84.

Therefore, the number z such that the proportion of observations that are less than z in a standard normal distribution is 0.8 is approximately 0.84.

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Answer:

it is actually 70

Step-by-step explanation:

Answer:

72

Step-by-step explanation:

x + ( x + 2 ) + ( x + 4 ) = 210

3x + 6 = 210

3x = 204

x = 68

Remember that x is the smallest, so we have to add 4 to 68 to get the largest of the 3 consecutive even integers: 68 + 4 = 72.

Answer:

b. Use sigma notation to represent the number of seats in the theater.

Answer:

10.8333..

Step-by-step explanation:

Multiply 6 by 10/ 60

Add 5 to answer/ 65

Divide answer by 6/ 65÷6

Use scientific calculator to convert to the decimal

10 5/6 as a decimal is 10.83.

A decimal is a non integer. It is separated by a point. An example of a decimal is 1.20.

In order to convert the mixed fraction to a decimal, first convert to an improper fraction: 10 5/6 = 65 / 6

The second step is to divide 65 by 6. Th result is 10.83

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The statement that best describes the use of spaces in folders and files names in ArcGIS is "Using spaces in folder and file names in ArcGIS is permitted but strongly discouraged."

ArcGIS is a geographic information system software that is used for creating, editing, analyzing, and sharing spatial data. The software is widely used by GIS professionals, environmental scientists, geographers, and other experts to manage and analyze spatial data.

In ArcGIS, it is possible to use spaces in folder and file names, but it is not recommended. This is because spaces can cause problems when the software tries to access files with spaces in their names. Therefore, it is better to use underscores or hyphens instead of spaces when naming folders and files in ArcGIS. This helps to avoid issues when working with data in ArcGIS.
The statement "Using spaces in folder names in ArcGIS is permitted but strongly discouraged" is the best description of the use of spaces in folder and file names in ArcGIS.

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Answer:

Step-by-step explanation:10 minutes 5 seconds per mile

6 minutes 15.93 seconds per kilometer

5.95 miles/hour

9.58 kilometers/hour

159.6 meters/minute

2.66 meters/second

Answer: 127

Step-by-step explanation:

The representation of D in the form D_x, D_y, where the x and y components are separated by a comma will be D[6.08,7.27]

Any vector oriented in two dimensions can be understood to have an impact in both directions. This implies that it may be divided into two halves. A component is a portion of a two-dimensional vector. The components of a vector assist to represent the vector's effect in a certain direction. The total impact of these two components is equivalent to the influence of the separate two-dimensional vectors. The two vector components can substitute the single two-dimensional vector.

Determine the x and y components for each vector A & B for vector A

Ax=sin (15) * 2=0.5176

Ay=cos (15) * 2=1.9318

for Vector B

Bx=cos (15) * 4=3.8637

By=sin (15)* 4=1.0352

The vector addition and scalar multiplication for x and y individually D=4.3 * A+B

Dx=4.3 *(sin (15) * 2)+cos (15) * 4

Dx=4.3 * 0.5176+3.8637

Dx=6.0893

Dy=4.3 *(cos (15) * 2)-sin (15) * 4

Dy=4.3 * 1.9318-1.0352

Dy=7.2715

D[6.08,7.27]

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The actual question may be:

Express D in the form D_x, D_y, where the x and y components are separated by a comma using two significant figures.

Answer:

25

Step-by-step explanation:

(0,0) to (12,0) => the distance = 12

(12,0) to(7,12) => the distance =

√[(12-0)²+(7-12)²]=√(144+5) =√169 = 13

so, the total distance = 12+13 = 25

Answer:

B

Step-by-step explanation:

Here, we want to choose the equation representing the time it will take if they worked together

Let the amount of tasks to be done be t

pedro will work at a rate of t/3

Camela will take t/2

So the joint rate will be

t/2 + t/3

This joint rate will be equal to 1

Thus, we have

t/2 + t/3 = 1

For given Step function also known as piecewise function, The range of g(x)  is {-3,2,5} i.e. C.

What exactly is a piecewise function?

A piecewise function has several definitions in various x intervals. The graph of a piecewise function is split into sections that correspond to each of its definitions. The absolute value function is an outstanding example of a piecewise function. Let us look at why it was given that name. We know that an absolute value function is defined as f(x) = |x|.

f(x)=(x if x x≥0)

-x if x<0)

This piecewise function should be interpreted as

When x is higher than or equal to 0, f(x) equals x.

When x is less than zero, f(x) equals -x.

Now,

As range of a given function is given by its y values, here it will be given by values of g(x) and as we can see from question for values of x, g(x) is always equal to -3,2,5.

Hence,

           The range of g(x) is {-3,2,5}.

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