3. Determine the missing number in each prime factorization. a) 80 X 2 X 2 X 2 X 5 e) 4968 = 23 x 33 x b) 198 = 2 X 3 X X 11 f) 297 = 3 X 11 c) 1750 = 2 x 53 x g) 2639 = 7 XX 29 d) 665 = X 7 X 19 h) 1331 = 11​

The temperature difference between the optimum temperatures of bacteria X and Y is 25°C.

To find the temperature difference between the optimum temperatures of bacteria X and Y, we subtract the temperature of bacteria Y from the temperature of bacteria X.

Temperature difference = Optimum temperature of bacteria X - Optimum temperature of bacteria Y

Temperature difference = -31°C - (-56°C)

When we subtract a negative number, it is equivalent to adding its positive value. Therefore, -(-56°C) is the same as +56°C.

Temperature difference = -31°C + 56°C

To add these temperatures, we need to consider the sign of the result. In this case, we have a negative temperature (-31°C) and a positive temperature (+56°C). When adding numbers with different signs, we subtract the smaller absolute value from the larger absolute value and use the sign of the number with the larger absolute value.

Absolute value of -31°C = 31°C

Absolute value of +56°C = 56°C

Since 56°C > 31°C, the result will have a positive sign.

Temperature difference = 56°C - 31°C = 25°C

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The triangle for which angle a =30\degree, angle b=45\degree, and a=20, side a ≈ 20, side b ≈ 28.284, and side c ≈ 38.636

Two angles (a and b) and one side (a) are provided for us to solve the triangle. Let's call the side across from angle a side A, the side across from angle b side B, and the side across from the final angle (angle c) side C.

Here, it is given that,

angle a = 30 degrees

angle b = 45 degrees

side a = 20

angle c = 180 - (angle a + angle b)

angle c = 180 - (30 + 45)

angle c = 180 - 75

angle c = 105 degrees

We know that, a/sin(A) = b/sin(B) = c/sin(C)

a/sin(A) = b/sin(B) = c/sin(C)

20/sin(30) = b/sin(45) = c/sin(105)

b/sin(45) = 20/sin(30)

b = (sin(45) * 20) / sin(30)

b ≈ (0.7071 * 20) / 0.5

b ≈ 14.142 / 0.5

b ≈ 28.284

Now,

c/sin(105) = 20/sin(30)

c = (sin(105) * 20) / sin(30)

c ≈ (0.9659 * 20) / 0.5

c ≈ 19.318 / 0.5

c ≈ 38.636

Thus, side a ≈ 20, side b ≈ 28.284, and side c ≈ 38.636.

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Answer:

The correct option is A

Step-by-step explanation:

From the question we are told that

   The average  number of meetings  hours per week is \(\mu= 18 \ hours\)

    The standard deviation is  \(\sigma = 5.2 \ hours\)

     The sample size is  n=  35

     The sample average per week is  \(p = 16.8 \ hours\)

From each solution statement we can deduce that the confidence level is  

    \(t = 95\)%

Thus the significance level is  \(\alpha = 0.05\)= 5%

The z value for the significance level is gotten as 1.96 from the z-table

    The confidence level interval for the sample mean is mathematically evaluated as

            \(\= x = \mu \pm (1.96 * \frac{\sigma }{\sqrt{n} } )\)

 Sustituting values

           \(\= x = 18 \pm (1.96 * \frac{5.2 }{\sqrt{35} } )\)

             \(\= x = 18 \pm1.7\)

=>               \(18 - 1.7 < \= x < 18 +1.7\)

                  \(16.3 < \= x < 19.7\)

Answer:

4 L 600 mL

Step-by-step explanation:

1 L = 1000 mL

so 27 L 600 mL = 27000 + 600 = 27600 mL

27600/6 = 4600 mL

4 L 600 mL.

Answer:

20

Step-by-step explanation:

2(a+3b)=2(10)

The value of 2a + 6b is 20.

To find the value of 2a + 6b, we can use the given equation:

a + 3b = 10

Now, we want to find 2a + 6b, which is simply twice the value of "a + 3b."

2a + 6b = 2(a + 3b)

Now, substitute the value of "a + 3b" from the given equation:

2(a + 3b) = 2(10)

2a + 6b = 20

So, the value of 2a + 6b is 20.

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Since the top of a mountain at its highest point is 13,385 feet, it'll be 2.5 miles.

Firstly, it is important to note that 5280 feet equals to 1 mile. In this case, we are given 13, 385 feet which is to be converted into miles. This will go thus:

= 13385 / 5280

= 2.5 miles.

Based on the above analysis, anytime you want to convert feets to miles, you simply have to divide by 5280. For example, if you want to convert 52840 feet to miles, this will be:

= 52840/5280

= 10 miles.

In conclusion, 13,385 feet will be 2.5 miles.

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Kai is 13 blocks from home. Jack is a greater distance away.

In this statement, 13 would represent the distance Kai is from home.... x would equal how much further away Jack is.

Hope this helps!!! Have an amazing day!!!! :)

Prakhar is 13 years older than his youngest sister. :) <3

Answer:        4.2

Step-by-step explanation: 14.70÷3.5=4.2

Answer: 20

Step-by-step explanation:

if 4x4=16 then 16 divided by 2 =8 witch is diviseble by 20

Answer:

181 MP3 players

Step-by-step explanation:

Given data:

Replacement of MP3 that fail within 3 years

expected lifetime of MP3 = 5 years

number of MP3 players purchased = 1000

number of MP3 players replaced in the first year = ?

To determine the number of MP3 replaced in the first year we will employ this formula:

\(E(To) = \frac{1}{u} = e_{x} ^{0} =\int\limits^a_0 {po} \, dt\)

a = ∞

since the given problem is an exponential distribution

1/u = 5 hence u = 0.2

next we will determine the number of MP3's to fail in its first year of purchase

qo = failure

po = success

number of purchase = 1000

attached below is the remaining part of the solution

The translation form of each shape is given as follows:

a) X to Z: (x, y) -> (x + 5, y + 2).

b) Z to X: (x, y) -> (x - 5, y - 2).

The four translation rules are defined as follows:

For the composition of translations, we add the coordinates, hence:

Hence the rule from X to Z is given as follows:

(x, y) -> (x + 5, y + 2).

From Z to X, we have the inverse rule, hence:

(x, y) -> (x - 5, y - 2).

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By analyzing the graph and evaluating the objective function at each vertex of the feasible region, we can find the optimal solution, which is the vertex that maximizes the objective function z = 3x + y.

To find the optimal solution of the given problem using the graphical method, we need to plot the feasible region determined by the given constraints and then identify the point within that region that maximizes the objective function.

Let's start by graphing the constraints:

1. Plot the line 2x - y = 5. To do this, find two points on the line by setting x = 0 and solving for y, and setting y = 0 and solving for x. Connect the two points to draw the line.

2. Plot the line -x + 3y = 6 using a similar process.

3. The x-axis and y-axis represent the constraints x ≥ 0 and y ≥ 0, respectively.

Next, identify the feasible region, which is the region where all the constraints are satisfied. This region will be the intersection of the shaded regions determined by each constraint.

Finally, we need to identify the point within the feasible region that maximizes the objective function z = 3x + y. The optimal solution will be the vertex of the feasible region that gives the highest value for the objective function. This can be determined by evaluating the objective function at each vertex and comparing the values.

Note: Without a specific graph or additional information, it is not possible to provide the precise coordinates of the optimal solution in this case.

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Answer:

Ron owns 1.25% of shares.

Step-by-step explanation:

400/50000 comes out to 0.0125 which can be converted into a decimal by moving the decimal two places to the right.

it is true

tbh am not sure

Answer:

Step-by-step explanation:

The correct answer is a. A larger sample size was used.As per the Law of Large Numbers, the more times an experiment is repeated, the closer the actual results will be to the expected probability. In this case, rolling the cube 100 times provides a larger sample size than rolling it only 20 times. The more rolls that are made, the greater the likelihood that the actual results will converge towards the expected probability of 1/2 for rolling an even number.Option b, The 100 tosses were controlled better, is not relevant to this scenario since the fairness of the cube is assumed.Option c, The expected probability changed when the cube was rolled 100 times, is not true. The expected probability of rolling an even number on a fair six-sided die is always 1/2, regardless of the number of times it is rolled.Option d, The thrower considered only the even rolls, and disregarded the odd rolls, is not a valid assumption. The question states that the number of even rolls was recorded, but it does not imply that odd rolls were disregarded.

The width of the duck pond is,

⇒ 27 feet

We can see that the given diagram is a rectangle,

And we know that,

Rectangles are four-sided polygons with all internal angles equal to 90 degrees. At each corner or vertex, two sides meet at right angles. The rectangle differs from a square in that its opposite sides are equal in length.

Now, By given diagram we have;

We have to given that;

Use the scale drawing to determine how wide the duck pond is.

And there are 4.5 feet in 1 square,

Therefore,

1 square is equal to 4.5 feet

So, we get;

The width of the duck pond is,

⇒ 6 square

We know that,

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Then to find width of duck pond in feet,

Multiply 6 with 4.5

⇒ 6 × 4.5 feet

⇒ 27 feet

Thus, The width of the duck pond is,

⇒ 27 feet

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Answer:

gradient = -1

Step-by-step explanation:

identify the y intercept ( the point where it meet the y- axis ) which denoted by c in the formula y =mx + c

in the graph :the y- intercept is 5 (c)

take the coordinate of any point that passes through the line :- for example (2,3)

in (2,3), the value of x is 2

the value of y is 3

using the formula y = mx + c find m with is the gradient ( unknown )

y = mx + c

3 = m2 + 5

2m + 5 = 3

we sent + 5 to the right and it changes sign to become -5

2m = 3 -5

we substract -5 from 3

2×m = -2

we send 2 to the other side so that m can be alone, it change to become divide since it was multiply

m = -2 ÷ 2

m = -1

the gradient ( unknown ) = -1

Answer:

the answer to this is very easy

Step-by-step explanation:

but i do not know

Answer:

Step-by-step explanation:

the least common denominator would be 4/10 and 2/10 but that isn’t an option. none of the answers provided are correct. there’s a mistake in the answers.

ANswer: 161.5ft???.....

Answer:

The minimum exam score to be awarded an A is about 8.52.

Step-by-step explanation:

Let X represent the scores on a common final exam.

It is provided that X follows a normal distribution with mean, μ = 71 and standard deviation, σ = 9.

It is provided that according to the department policy is that the top 10% of students receive an A.

That is, P (X > x) = 0.10.

⇒ P (X < x) = 0.90

⇒ P (Z < z) = 0.90

The corresponding z-score is:

z = 1.28

Compute the value of x as follows:

\(z=\frac{x-\mu}{\sigma}\\\\1.28=\frac{x-71}{9}\\\\x=71+(1.28\times 9)\\\\x=82.52\)

Thus, the minimum exam score to be awarded an A is about 8.52.

Salut/Hello!

Answer: D

Step-by-step explanation:

Total of male students: 100
Male students that like peas: 58
Male students that dislike peas: 100 - 58 = 42

Total of female students: 100
Female students that dislike peas: 64
Female students that like peas: 100 - 64 = 36

Total of people that like peas: 58 + 36 = 94
Total of people that dislike peas: 42 + 64 = 106


I hope it'll be useful! :]

Answer:

y is 0,3

Step-by-step explanation:

To find the x-intercept, substitute in

0

for

y

and solve for

x

. To find the y-intercept, substitute in

0

for

x

Answer:

(0,3)

Step-by-step explanation:

Two methods:

Method 1:  General method for any equation

Method 2: Method specific for parabolas in standard form

Method 1:  General method for any equation

For any two-variable equation to be graphed, the y-intercept is the point where the graph crosses the y-axis.  The y-axis is a vertical line through the origin (0,0).

Any y-intercept is on that line, and to get to that point starting from the origin, one can't travel left or right to get to the y-intercept point (without moving back to the y-axis).  The only movement would be up or down.

Since no left-right movement will happen, the x-coordinate is zero.

For any two-variable equation, the x and y coordinates of any point on the graph are linked by the equation.  If it is known that the x-value is zero, the y-value associated with that x-value is given by substituting zero into the equation everywhere there is an "x", and solving for "y".

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

\(y=-4(0)^2-(0)+3\)

Order of operations requires exponents before multiplication, or addition & subtraction...

\(y=-4(0)-(0)+3\)

multiplication...

\(y=0-0+3\)

addition & subtraction, from left to right...

\(y=3\)

So, when the x-value is zero, the y-value is three.  Therefore, the ordered pair representing that point is (0,3).

Method 2: Method specific for parabolas in standard form

The given equation is the equation for a parabola (as stated in the question), and it is given in "standard form": \(y=ax^2+bx+c\), where a, b, and c are real numbers (and a isn't equal to zero, because then the x-squared term would be zero, and the equation would really just be a linear equation).

Note that for our equation, it is in standard form if we rewrite the equation to only use addition, \(y=-4x^2+-1x+3\), where \(a=-4, ~b=-1 ~ \text{and}~c=3\)

For a parabola in standard form, the y-intercept is always at a height of "c".

So, the y-intercept would be (0,3).

The number of hours that James have to work each week will be 25 hours.

The word problem in mathematics simply refers to a question that is written as a sentence or in some cases more than one sentence which requires an individual to use his or her mathematics knowledge.

In this case, James has a job moving lawns during the summer. Suppose the formula for calculating the number of hours he will have to work each week is five times the difference of thirty-eight and three times the difference of fifteen and four hours.

The number of hours that James have to work each week will be:

= 5(38) - 3(15 - 4)

= 5(38) - 3(11)

= 5(38 - 33)

= 5 × 5

= 25 hours

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Answer: what unit is this?

Step-by-step explanation:yeah I’ll need the unit to solve this question

The system of equations plotted on graph 3 has two solutions.

In the given figure, three different parabola and lines are drawn.

The intersection of the parabola and the line represent the solution of that system of equations.

Graph 1:

The parabola and the line do not intersect at each other.

Therefore, the equation has no solution.

Graph 2:

The parabola and the line intersect each other at one point, that is (1, 1).

Therefore, the equation has one solution.

Graph 3:

The parabola and the line intersect each other at two points that is (4, 1) and (0.5, -1).

Therefore, the equation has two solutions.

Therefore, the system of equations plotted on graph 3 has two solutions.

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Answer:

c

Step-by-step explanation:

third graph

Approximately 34.658 Hispanic females out of 26,000 to have this particular disease.

A woman or girl who identifies as Hispanic or Latino, which usually refers to persons of Spanish-speaking origin or lineage from Latin America or Spain, is referred to as a "Hispanic female."

The proportion of Hispanic females with the disease is 1 in 750, which can be expressed as:

1 / 750 = 0.001333

This means that for every 750 Hispanic females, one is expected to have the disease.

To calculate the expected number of Hispanic females with the disease in a group of 26,000, we can multiply the proportion by the total number of Hispanic females:

0.001333 * 26,000 = 34.658

So we would expect approximately 34.658 Hispanic females out of 26,000 to have this particular disease.

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Answer:

The answer is d on edge2020

Step-by-step explanation:

I got the answer right

Step-by-step explanation:

-zomba

Answer:

2 31/33

Step-by-step explanation:

this is a IMPROPER FRACTION once the absolute value of the top number or numerator [97] is greater than absolute value of numerator is greater than denominator[33] so the equivalent fraction is a MIXED NUMBER which is made up of a whole number [2] ans proper fraction [31/33]