help me please !!!!!

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Answer: The number is 13

Explanation:

13(2) - 27 = -1

I hope this helped!

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- Zack Slocum

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Answer:

∠1 = 103°

Step-by-step explanation:

supplementary angle to 136° = 180° - 136° = 44°

∠1 = 180° - 33° - 44° = 103°

Step-by-step explanation:

Let the unnamed angle in the triangle be x.

x + 136 = 180 (Sum of angles on the same straight line)

x = 180 - 136

= 44

Angle 1 + x + 33 = 180 (Sum of angles in a triangle)

Angle 1 + 44 + 33 = 180

Angle 1 + 77 = 180

Angle 1 = 180 - 77

= 103

Component 3 must be started on day 197 to meet the delivery date of day 200.

To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.

(a) Backward schedule:

Operation    |  Work Center  |  Time (hours)  |  Start Day

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

Final Assembly |   Work Center 1  |        1       |     200

Sub-assembly 1 |   Work Center 2  |        2       |     199

Component 4     |   Work Center 3  |        3       |     197

Component 2     |   Work Center 4  |        4       |     196

Component 3     |   Work Center 5  |        3       |     ????

(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.

From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.

Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.

Hence, component 3 must be started on day 197 to meet the delivery date of day 200.

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Since a is parallel to b , taking CE as transversal

m< CED = m<3 = 58° (alternate interior angles)

Answer:

Step-by-step explanation:

Since line A is parallel to line B, then angle 1 and angle D are alternate interior and are congruent. That means that angle 1 is 60. Angle 2 can be found by  subtracting 60 + 58 from 180:

180 - 60 - 58 = 62. Now to find angle 3, we just subtract angle 1 and angle 2 from 180:

180 - 60 - 62 = 58 (which works out perfectly because angle 3 and angle E are congruent as we just found out!)

Answer:

Step-by-step explanation:

30% mark represents:

So

The difference is:

Answer:

25 students

Step-by-step explanation:

Answer:

3,333.33

Step-by-step explanation:

Let Sharon's wage be represented with x

Sharon's wage under scheme a = 0.06x + x

Sharon's wage under scheme b = 0.045x + x + 50

If her wage is equal under both schemes, the two schemes are equal in value and can be equated to find her wage

0.045x + x + 50 =  0.06x + x

1.06x = 1.045x + 50

Collect like terms

1.06x - 1.045x = 50

0.015x = 50

x = $3,333.33

The probability of the sixth child being born as a boy is 0.5 or 50%. It is irrespective to the five boys born previously.

Since probability of a girl or boy being born is 50%,

Probability of Girl being born, P(G) = ½

Probability of boy being born, P(B) = ½

When one is calculating the probability of any one of the two events occurring or both evens have a chance of occurring, considering the events are non-mutually exclusive, the rule of addition is used.

Rule of addition: P(A or B)= P(A) + P(B) –P(A+B)

Where P(A)- probability that event A takes place

P(B)- Probability that event B takes place

P(A+B)-  probability of both events taking place.

In this case, both events cannot take place simultaneously, i.e., they are mutually exclusive, hence,

P(G or B)= ½ + ½ = 2/4 = ½ = 0.5.

Therefore, Probability of boy being born is 0.5

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Answer:

z = 11

Step-by-step explanation:

To solve this equation, divide each side by 11.

11 z = 121

11z/11 = 121/11

z = 11

Answer:

To find the value of Z in this equation, we need to isolate Z on one side of the equation. To do that, we can use the inverse operation of multiplication, which is division. We can divide both sides of the equation by 11, which is the coefficient of Z. This will cancel out the 11 on the left side and leave Z alone. On the right side, we can use a calculator or long division to find the quotient of 121 and 11. The result is 11 as well. Therefore, we can write:

11 • z = 121

(11 • z) / 11 = 121 / 11

z = 11

The value of Z in this equation is 11.

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To plot the graph of the function:

According to your graphing software, we need to find the smallest value of the function, and any point at the positive slope side of the function. Let's start with the minimum point. Let's use the general formula for an absolute value function:

The coefficients 'b' and 'c' determinates how much the function was translated from the origin. The 'b' determinates in the x-axis, and the 'c' determinates in the y-axis.

If the 'b' is positive, the function translated to the left, if it is negative the function translated to the right.

If the 'c' is positive the function went up, and if it is negative it went down.

Now let's analyze our h(x) function. Our coefficients are:

Which means our minimum point is

Now, we just need to calculate any point to the right of x = -1.

Let's calculate for x = 0.

The second point is (0,7)

To determine the number of yards Ben will walk in one hour, we need to convert his speed from feet per second to yards per hour.

First, let's convert Ben's speed from feet per second to feet per hour: Speed in feet per hour = Speed in feet per second * 60 seconds * 60 minutes. Speed in feet per hour = 6 ft/s * 60 s * 60 min = 21,600 ft/hour. Next, we need to convert the speed from feet per hour to yards per hour. Since there are 3 feet in a yard: Speed in yards per hour = Speed in feet per hour / 3. Speed in yards per hour = 21,600 ft/hour / 3 = 7,200 yards/hour.

Therefore, Ben will walk 7,200 yards in one hour if he maintains a steady pace of 6 ft per second.

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Step-by-step explanation:

we know that xy+yz=xz

so if we fill in what we know

5m+1m=25

solve from there

Step-by-step explanation:

In the first term 3 is the Coefficient

In the second term (x+2) is the variable

In the last term 4 is the constant

Answer:

Except 4(a+b+2)

Step-by-step explanation:

It's 4a+4b+8 when expand

The length of fencing required is 34.34 feet.

Data;

To find the total length of fencing required, we have to find the perimeter of a rectangle since the garden has a rectangular shape.

\(P = 2(L + W)\)

We can substitute the values in the formula of perimeter above and proceed to solve.

\(P = 2(L+W) \\P = 2(12.67 + 4.5) \\P = 2(17.17)\\P = 34.34ft\)

The length of fencing required is 34.34 feet.

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The measure of U is 180 degrees. z is the incentre it has 360 degrees, W=102 degrees, the angle T is 114.5 and angle V is 114.5 degrees

A triangle is a three-sided polygon that consists of three edges and three vertices.

Given,

In Diagram, if Z is the incenter of AWXY,

m/WYX= 86° and m/WXZ = 33°,

We need to find the measure of other angles.

As z is the incentre it has 360 degrees.

The measure of U is 180 degrees.

By angle sum property we find Measure of W

W+45+33=180

W+78=180

W=180-78

W=102

The measure of quadrilateral is 360 degrees

T+V+45+86=360

x+x+45+86=360

2x+131=360

2x=229

x=114.5

So, the angle T is 114.5 and angle V is 114.5

Hence, The measure of U is 180 degrees. z is the incentre it has 360 degrees, W=102 degrees, the angle T is 114.5 and angle V is 114.5 degrees

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The slope of the line shown is -2/3

The formula for calculating the slope of a line is expressed according to the formula

Slope = Rise/Run

Slope = y₂-y₁/x₂-x₁

Using the coordinate point (-9,-2) and (-6, -4)

Slope = -4+2/-6+9
Slope = -2/3

Slope = negative two third

Hence the slope of the line shown is -2/3

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The correct answer is option C. At the point (2,1) on the curve x² - xy + y²= 3, the derivative dy/dx exists, and the tangent line at that point is neither horizontal nor vertical.

To determine the correct option, we need to analyze the properties of the curve x² - xy + y² = 3 at the point (2,1). First, let's find the derivative dy/dx. Taking the derivative of the given equation implicitly with respect to x, we get:

2x - y - x(dy/dx) + 2y(dy/dx) = 0

Rearranging the terms, we have:

dy/dx = (2x - y) / (x - 2y)

Now, substituting the values x = 2 and y = 1 into the expression for dy/dx, we can determine its value at the point (2,1):

dy/dx = (2(2) - 1) / (2 - 2(1)) = 3 / 0

Since the denominator is zero, dy/dx is undefined at (2,1). Therefore, option D, stating that dy/dx does not exist at (2,1) and the tangent line at that point is vertical, is incorrect.

However, we can still determine the nature of the tangent line at (2,1). Although the derivative is undefined, it is still possible for the tangent line to exist and have a defined slope. In this case, the tangent line would be neither horizontal nor vertical. Therefore, option C, which states that dy/dx exists at (2,1) and the tangent line at that point is neither horizontal nor vertical, is the correct answer.

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Given a sample size of n = 177 and number of successes x = 121, the sample proportion would be p = x/n = 121/177 ≈ 0.6848.To find the 99% confidence interval, we will use the z-score corresponding to 99% confidence, which can be found using a standard normal distribution table or calculator.

We have: population

z = 2.576 (rounded to three decimal places) Using this z-score and the sample proportion,

we can find the margin of error (ME) as follows:

ME = z × √(p(1-p)/n)

= 2.576 × √(0.6848 × 0.3152/177)

≈ 0.0790

Finally, we can construct the confidence interval by adding and subtracting the margin of error from the sample proportion:

p ± ME = 0.6848 ± 0.0790 = (0.6058, 0.7638)

Therefore, the 99% confidence interval for a sample of size 177 with 121 successes is 0.606 < p < 0.764.

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11.1% of porcelain tile has strength up to 185 per square inch, while 6% has strength of 206.4 per square inch.

a. To find the percent of its popular porcelain tile that will have breaking strengths at most 185 pounds per square inch, we can use the Z-score formula. The Z-score formula is Z = (x - μ) / σ. In this problem, x is 185, μ is 200, and σ is 6.2. Plugging these values into the formula, we get Z = -2.42. To find the percent of tiles that have a breaking strength of at most 185 pounds per square inch, we can use a Z-score table. Looking up -2.42 on the Z-score table, we get a probability of 0.011, or 11.1%.

Z = (x - μ) / σ.

x=185

μ =200

σ = 6.2

Z = -2.42

Hence, probability = 0.011, or 11.1%.

b. The strongest 6% of its popular porcelain tile will have a breaking strength of 206.4 pounds per square inch. To find this value, we can use the Z-score formula again. This time, we will use a positive Z-score of 1.645, which corresponds to a probability of 0.06. Plugging this value into the formula, we get,

x = μ + (Z * σ).

Thus, x = 200 + (1.645 * 6.2) = 206.4.

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Therefore, the measure of the central angle whose radii define the given arc is approximately 83.077 degrees.

The length of an arc on a circle is given by the formula:

Arc Length = (Central Angle / 360°) * Circumference

In this case, we know the arc length is 6π centimeters, and the radius of the circle is 13 centimeters. The circumference of the circle can be calculated using the formula:

Circumference = 2π * Radius

Substituting the radius value, we get:

Circumference = 2π * 13

= 26π

Now we can use the arc length formula to find the central angle:

6π = (Central Angle / 360°) * 26π

Dividing both sides of the equation by 26π:

6π / 26π = Central Angle / 360°

Simplifying:

6 / 26 = Central Angle / 360°

Cross-multiplying:

360° * 6 = 26 * Central Angle

2160° = 26 * Central Angle

Dividing both sides by 26:

2160° / 26 = Central Angle

Approximately:

Central Angle ≈ 83.077°

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Answer:

Step-by-step explanation:

To find y = f(g(x)) replace the x in f(x) by g(x):-

y = 4^(x - 3)

---> y = 4^x  * 4^-3

---> y = (4)^x / 64

Answer: The answer is 25! :)

Give brainiest?

Answer:  5*sqrt(5)

This is the same as sqrt(125).

It approximates to roughly 11.1803

=========================================================

Explanation:

Vector u is 5 units long as indicated by the notation ||u|| = 5. Some math books would say |u| = 5, and it's the same thing. The double bars are probably more fitting because it helps emphasize we're looking for the length of a vector and we're not using absolute value bars.

The second equation ||u|| = (1/2)*||v|| can be rewritten into ||v|| = 2*||u|| telling us that vector v is twice as long compared to vector u. Since vector u is 5 units long, that must mean vector v is 10 units long.

The two vectors are orthogonal, i.e. they are perpendicular. The vector u+v represents the diagonal of the rectangle as shown below in the attached image. Vector u is horizontal, v is vertical, and u+v is the diagonal. Technically we don't know where vector u is pointed along a compass (it may or may not be pointing directly east), but I find it's easier to have it set up like this. The answer will be the same regardless of where vector u is pointed. Rotations don't affect vector lengths.

We can see that vector u+v effectively breaks down component-wise into the horizontal component u and vertical component v (think of them as x and y components respectively).

Furthermore, note how there are two right triangles that form when we draw in the diagonal of the rectangle.

To find the length of vector u+v, we apply the pythagorean theorem.

a^2+b^2 = c^2

( ||u|| )^2 + ( ||v|| )^2 = ( ||u+v|| )^2

( 5 )^2 + ( 10 )^2 = x^2

25 + 100 = x^2

125 = x^2

x^2 = 125

x = sqrt(125)

x = sqrt(25*5)

x = sqrt(25)*sqrt(5)

x = 5*sqrt(5) is the length of vector u+v

In other words, ||u+v|| = 5*sqrt(5)

Keep in mind that this trick using the pythagorean theorem only works when vectors u and v are orthogonal. The process to find ||u+v|| for non-orthogonal vectors u,v is a bit more complicated.

Answer:

69.08m

Step-by-step explanation:

Circumference of a circle = πd where

d is the diameter of the circle

Given

diameter = 22metres

circumference of the circle = 3.14(22)

circumference of the circle  = 69.08m

Hence the circumference of the circle is 69.08m

Answer:

d i think sorry if im wronge

Step-by-step explanation:

Answer:

$3.6

Step-by-step explanation:

I looked it up, I don't know how to do that on my own

Oii boy, that's so simple -_-

See,

JL = JK + kL (isn't it?)

7 = y + 5

7 - 5 = y

2 = y

What's the problem u were getting here?

Given statement solution is :- a) Power set for two sets A and B with any 2 elements:

Set A: {1, 2}, Set B: {3, 4}

Power set of A: {{}, {1}, {2}, {1, 2}}

Power set of B: {{}, {3}, {4}, {3, 4}}

b) Power set for two sets A and B with any 3 elements:

Set A: {1, 2, 3}, Set B: {4, 5, 6}

Power set of A: {{}, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3}}

Power set of B: {{}, {4}, {5}, {6}, {4, 5}, {4, 6}, {5, 6}, {4, 5, 6}}

c) Power set for two sets A and B with any 4 elements:

Set A: {1, 2, 3, 4}, Set B: {5, 6, 7, 8}

Power set of A: {{}, {1}, {2}, {3}, {4}, {1, 2}, {1, 3}, {1, 4}, {2, 3}, {2, 4}, {3, 4}, {1, 2, 3}, {1, 2, 4}, {1, 3, 4}, {2, 3, 4}, {1, 2, 3, 4}}

Power set of B: {{}, {5}, {6}, {7}, {8}, {5, 6}, {5, 7}, {5, 8}, {6, 7}, {6, 8}, {7, 8}, {5, 6, 7}, {5, 6, 8}, {5, 7, 8}, {6, 7, 8},

a) Power set for two sets A and B with any 2 elements:

Set A: {1, 2}, Set B: {3, 4}

Power set of A: {{}, {1}, {2}, {1, 2}}

Power set of B: {{}, {3}, {4}, {3, 4}}

Set A: {apple, banana}, Set B: {cat, dog}

Power set of A: {{}, {apple}, {banana}, {apple, banana}}

Power set of B: {{}, {cat}, {dog}, {cat, dog}}

Set A: {red, blue}, Set B: {circle, square}

Power set of A: {{}, {red}, {blue}, {red, blue}}

Power set of B: {{}, {circle}, {square}, {circle, square}}

b) Power set for two sets A and B with any 3 elements:

Set A: {1, 2, 3}, Set B: {4, 5, 6}

Power set of A: {{}, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3}}

Power set of B: {{}, {4}, {5}, {6}, {4, 5}, {4, 6}, {5, 6}, {4, 5, 6}}

Set A: {apple, banana, orange}, Set B: {cat, dog, elephant}

Power set of A: {{}, {apple}, {banana}, {orange}, {apple, banana}, {apple, orange}, {banana, orange}, {apple, banana, orange}}

Power set of B: {{}, {cat}, {dog}, {elephant}, {cat, dog}, {cat, elephant}, {dog, elephant}, {cat, dog, elephant}}

Set A: {red, blue, green}, Set B: {circle, square, triangle}

Power set of A: {{}, {red}, {blue}, {green}, {red, blue}, {red, green}, {blue, green}, {red, blue, green}}

Power set of B: {{}, {circle}, {square}, {triangle}, {circle, square}, {circle, triangle}, {square, triangle}, {circle, square, triangle}}

c) Power set for two sets A and B with any 4 elements:

Set A: {1, 2, 3, 4}, Set B: {5, 6, 7, 8}

Power set of A: {{}, {1}, {2}, {3}, {4}, {1, 2}, {1, 3}, {1, 4}, {2, 3}, {2, 4}, {3, 4}, {1, 2, 3}, {1, 2, 4}, {1, 3, 4}, {2, 3, 4}, {1, 2, 3, 4}}

Power set of B: {{}, {5}, {6}, {7}, {8}, {5, 6}, {5, 7}, {5, 8}, {6, 7}, {6, 8}, {7, 8}, {5, 6, 7}, {5, 6, 8}, {5, 7, 8}, {6, 7, 8},

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The percentage strength of neomycin in the final compounded product is approximately 2.5%.

To determine the percentage strength of neomycin in the final compounded product, we need to calculate the weight of neomycin in the cream and divide it by the total weight of the cream.

Neomycin (5%) cream: 30g

The neomycin content is 5% of the total cream weight. To find the weight of neomycin in the cream, we multiply the cream weight by the neomycin percentage:

Weight of neomycin = 30g × 0.05 = 1.5g

Now, to calculate the percentage strength of neomycin in the final compounded product, we divide the weight of neomycin by the total weight of the cream and multiply by 100:

Percentage strength of neomycin = (Weight of neomycin / Total weight of cream) × 100

Percentage strength of neomycin = (1.5g / 60g) × 100 ≈ 2.5

Therefore, the percentage strength of neomycin in the final compounded product is approximately 2.5%.

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