For each image, explain whether it's correct or not. If it's not, explain why.

Answer: 72.36

Step-by-step explanation:

To find the total amount of salt in the bowl after Omar poured 13.2 grams, we need to add the initial amount of salt in the bowl to the amount of salt Omar added.

The initial amount of salt in the bowl was 59.16 grams.

Omar added 13.2 grams of salt to the bowl.

To find the total amount of salt in the bowl now, we add these two amounts: 59.16 + 13.2 = 72.36

Therefore, the bowl contains 72.36 grams of salt now.

9514 1404 393

Answer:

  58.7 °F

Step-by-step explanation:

At 5000 feet, the airplane is 5 times 1000 feet above the ground, so the temperature will have dropped 5 times 1.2 °F.

  64.7 - 5×1.2 = 64.7 -6.0 = 58.7

At 5000 feet, the temperature is 58.7 °F.

The additional fencing that the gardener needs to purchase is nine and one over two ft.

A square is an object that has four sides that have equal length.  The four angles in a square are right angles. The total length needed to fence the square garden would be equal to the perimeter of the garden. The perimeter of the garden is the sum of the length of the four sides of the garden.

Perimeter of the square garden = 4 x length

4 x 3 3/4

4 x 15/4 = 15 feet

The next step is to subtract the perimeter of the square garden from the fencing the gardener already has.

Fencing that should be purchased = 15 - 5 1/2 = 9 1/2 feet

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Answer: if you dont show the picture i cant answer!

Step-by-step explanation:

Step-by-step explanation:

area of trapezoid=(a+b)×h divided by 2

=(9+19)×4 divided by2

=28×4 divided by2

=112 divided by 2

=56m square

Answer:B

Step-by-step explanation:

Step-by-step explanation:

This is a circle with center, h,k = 3,2 and radius = 2

   circle equation is   ( x-h)^2 + (y-k)^2 = r^2

so:

(x-3)^2 + (y-2)^2 = 4

For two-sample t-tests, results cannot be compared between studies. The test statistic is given, as well as a p-value. This test is also known as a matched sample or paired t-test. It is assumption of normal distribution.

The paired-samples t-test, also known as the dependent-samples t-test, is a statistical technique used to determine whether the mean difference between two sets of observations is zero. In a paired-samples t-test, each subject or entity is measured twice to obtain a pair of observations. Common uses of the paired-samples t-test are case-control studies or repeated measures designs.

A normal distribution is a type of continuous probability distribution in which most data points cluster toward the middle of the range and the rest decrease symmetrically toward one extreme. The middle of the range is also called the mean of the distribution.

The normal distribution is also known as the Gaussian distribution or probability bell curve. It is symmetrical about the mean, indicating that values ​​close to the mean occur more frequently than values ​​far from the mean.

Assumption:

The Normalization Assumption is cautioned because so many experiments are based on the assumption of a normal distribution. is required. In most cases, the assumption of normality makes sense.

However, there is an important special case where this is not the case. Understanding the normal distribution assumptions helps researchers understand the limitations of their experiments and understand their own research and where it went wrong.

The assumption of normal distribution can be relaxed in some situations, but the analysis is more complicated. The simplest analysis is obtained when the physical process can be approximated by a normal distribution. However, even if the distribution is non-normal, it retains some basic properties. For example, you can assume symmetry, such as the t distribution, even if the distribution is not truly normal.

In fact, many different non-normal distributions are just variations of the normal distribution. For example, there are distributions with long tails that represent variations in a normal distribution. Such distributions are also common.

The reason for the normal distribution assumption is that it is usually the simplest mathematical model available. Moreover, it is remarkably ubiquitous, found in most natural and social phenomena. So the assumption of normality is usually a good first approximation.

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Answer:

The amount of salt in the tank after t minutes is

y= 16e^(t/100)kg

Step- by-step Explanation

The tank contain 3000L of the brine

The rate is 30L/ min

The solution is mixed thoroughly, therefore, the rate in= rate out

dy/dt= rate in to the tank= rate out of the tank

CHECK THE ATTACHMENT FOR DETAILED EXPLANATION

Check the picture below.

Answer:

7.2

Step-by-step explanation:

The amplitude is half the difference between the maximum and the minimum.

A = (7.7 − (-6.7)) / 2

A = 7.2

By considering these rules and properties of integers, the correct result of 6 was obtained.

When writing the response, I considered the following information:

The product or quotient of two integers with different signs is negative. This rule was used to determine that 2(-12) equals -24, not 24.

To subtract an integer, add its opposite. This rule was applied when subtracting -30 from -24, resulting in -24 - (-30) = -24 + 30.

To add integers with opposite signs, subtract the absolute values. The sum has the same sign as the integer with the greater absolute value.

This rule was used to calculate -24 + 30 = 6, where the absolute value of 30 is greater than the absolute value of -24.

By considering these rules and properties of integers, the correct result of 6 was obtained.

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Answer:

360

Step-by-step explanation:

first do 12x6 and then do the answer of thst times 5

Answer:

72 seconds.

The 6th floor is 2 times the amount of walking from the ground floor to the third, so the time to walk to the 6th floor will be twice as long too.

36 * 2 = 72

Step-by-step explanation:

Hope it helps! =D

The exponent in the term 5x⁶ is of the expression 6

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

Expression: 5x6+3yr-7yz2+2y/z

Rewrite the expression properly

So, we have the following representation

5x⁶ + 3yr - 7yz² + 2y/z

From the above expression, the spotlight is on the first term

i.e. 5x⁶

Considering an expression represented as axⁿ

Where x is a variable, the exponent is n

Using the above as a guide, we have the exponent of 5x⁶ to be 6

Hence, the exponent is 6

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Answer:

38

Step-by-step explanation:

perimeter = 2(l+b)

Where l is the length of the rectangle

b is the breadth of the rectangle

P = 2(15+4)

P = 2 × 19

P = 38

The number of campers who chose soccer as their favourite activity is 87.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that the total number of campers is 300. The percentage of campers playing soccer is 29%.

The number of campers will be calculated as:-

Number = 300 x 29%

Number = ( 300 x 29 ) / 100

Number = 87.

Therefore, the number of campers who chose soccer as their favourite activity is 87.

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Step-by-step explanation:

Types of fees and charges

Monthly account keeping or service fee. The fee you pay for an organisation to manage your bank account. ...

Internet banking fee. ...

EFTPOS transaction fee. ...

ATM transaction fee. ...

Non-bank or foreign ATM fee. ...

Telephone banking transaction fee. ...

Branch withdrawal fee. ...

Cheque withdrawal fee.

Answer:

The two solutions for \(\sin \theta = 0.731353701\) are \(\theta_{1} \approx 47^{\circ}\) and \(\theta_{2}\approx 133^{\circ}\), respectively.

Step-by-step explanation:

The sine function is positive in the first and second quadrants, that is, \(0^{\circ}< \theta < 180^{\circ}\). Then, there are two solutions for the given value by means of the following inverse trigonometrical function:

\(\theta = \sin^{-1} 0.731353701\)

\(\theta_{1} \approx 47^{\circ}\) and \(\theta_{2}\approx 133^{\circ}\)

The two solutions for \(\sin \theta = 0.731353701\) are \(\theta_{1} \approx 47^{\circ}\) and \(\theta_{2}\approx 133^{\circ}\), respectively.

Answer:

2x² + 5x + c = 0

For this quadratic equation to have one double root, the discriminant must equal 0.

5² - 4(2)(c) = 0

25 - 8c = 0

c = 25/8

2x² + 5x is not a perfect square because the coefficient of x², 2, is not a perfect square.

2x² + 5x is not a perfect square.

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Answer:

Option B

Find their difference in absolute value

\(\\ \bull\longmapsto |-4-1|\)

\(\\ \bull\longmapsto |-5|\)

\(\\ \bull\longmapsto 5\)

Answer:

P(8) = 1/9

Step-by-step explanation:

There are 9 balls, 1,2,3,4,5,6,7,8,9

We want to get ball 8

P(8) = number of balls marked 8/ total number of balls

       = 1/9

Answer:

P = 1/9

Step-by-step explanation:

Probability of selecting the ball marked with 8

\(\sf Probability = \dfrac{Number\: of \:favorable\: outcomes }{ Total \:number\: of\: possible\: outcomes}\\\\\sf Probability = \dfrac{1 }{9}\)

Answer:

x + 5 - 3 + 8 = 12

Step-by-step explanation:

x = 2 books

Heuristic is 0 for every city Heuristic is 1 for every city Selecting an inadmissible heuristic has a -50% penalty.

To find the shortest path to a destination city from a start city using roads (e.g., traveling from Arad to Bucharest) using A* search, the following heuristics are admissible:

Manhattan distance ("go first east/west and then north/south") between a city and start city.

Euclidean distance ("as the crow flies") between a city and destination city.

Euclidean distance ("as the crow flies") between a city and start city.

Manhattan distance ("go first east/west and then north/south") between a city and destination city.

The following heuristics are inadmissible:

Twice the Euclidean distance ("as the crow flies") between a city and destination city.

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Answer: a= \(\sqrt{2}\)\(\frac{d}{2}\) = \(\sqrt{2.}\)\(\frac{15}{2}\) = about 10.61 cm

Step-by-step explanation:

given that the diagonal of square is 15cm . We need to find out the length of the side . Now see the attached image. From image it is clear that im in triangle ABC ,

a² + a² = (15cm)² [Pythagoras theorem]

2a² = 225cm²

a² = 225cm²/2

a = √{225cm²}/√2

a = 15/√2cm = 15/1.414 cm

a = 10.6 cm [ required answer]

and we are done!

-Rishabh

Answer:

1. 3

2. 5

3. 13

Step-by-step explanation:

there is your answers :)

\(\boxed{\boxed{\pink{\bf \leadsto Option \ A \ is \ correct .}}}\)

Given that , Paul needs 27 plants to fill his garden and has $99 to spend. Lilies cost $5 each and tulips cost $2 each.

Now we need to find which set of linear equations represent the above situation. So ,

Sum of number of lilies and tulips is 27 .

\(\implies \bf n( Tulips) + n(Lilies ) = 27 \\\\\bf\implies \boxed{ \bf l + t = 27 }\)

Now , cost of each lily is $5 and tulip is $2 . And he has $99 in total . So ,

\(\bf\implies n_{tulips} \times cost_{tulip} + n_{lilies} \times cost_{lilies} = Money \ that \ Paul \ has. \\\\\bf \implies t\times \$2 + l \times \$5 = \$ 99 \\\\\implies \boxed{\bf 2t + 5l =\$ 99 }\)

Hence we can see that our ans matches with option (a) which is ,

\(\red{\bf Option \ A}\begin{cases} \bf l + t = 27 \\\\\bf 2t + 5l = 99 \end{cases}\)

Answer:

78.9

Step-by-step explanation:

         \(\dfrac{a}{Sin \ A}=\dfrac{b}{Sin \ B} =\dfrac{c}{Sin \ C}\)

To find the value of b, we consider,

     \(\dfrac{b}{Sin \ B}=\dfrac{a}{Sin \ A}\)

Substitute the value a, A and B,

      \(\dfrac{b}{Sin \ 142^\circ}=\dfrac{42}{Sin \ 19}\\\\\\\dfrac{b}{0.62}=\dfrac{42}{0.33}\\\\\)

        \(b =\dfrac{42}{0.33}*0.62\\\\\\b= 78.9\)

Answer:

79.4

Step-by-step explanation:

42/sin19 = b/sin142

b(sin19) = 42(sin142)

b = 42(sin142) / sin19 = 79.4

Answer:

C.)

Step-by-step explanation:

that is exactly the definition of the derivative.

the derivative is the limit of

(f(x+h) - f(x))/((x+h) - x) = (f(x+h) - f(x))/h

with h going to 0.

this is the limit of the standard rate of change concentrated on a single point = the slope of the tangent at that point.

Answer:

(x - 2)(x + 2)

Step-by-step explanation:

(x - 2)(x + 2) = x² - (2)² [Since (a - b)(a + b) = a² - b²]

                   = x² - 4

There are two terms in this expression. Therefore, the give term is a binomial.

(2x - 1)(x + 4) = 2x(x + 4) - 1(x + 4) [Distributive property]

                    = 2x² + 8x - x - 4

                    = 2x² + 7x - 4

There are three terms in this polynomial. Therefore, the given polynomial is a trinomial.

(x + 4)(x + 1) = x(x + 1) + 4(x + 1)

                   = x² + x + 4x + 4

                   = x² + 5x + 4

This polynomial is having 3 terms therefore, it's a trinomial.

(m - 4)(m + 1) = m(m + 1) - 4(m + 1)

                     = m² + m - 4m - 4

                     = m² - 3m - 4

Therefore, this polynomial is a trinomial.

Since (x - 2)(x + 2) is a binomial, so this expression doesn't belong to this group.