It takes Nadia 12 days to build a cubby house. If she and Vincent work together, they can finish building a cubby house in 8 days. Find the number of days, h, that it will take Vincent to build a cubby house by himself.

Answer:

\(k\le \:-18\)

Step-by-step explanation:

First, you add 66 to both sides so then the equation you are trying to solve will be: \(k-66+66\le \:-84+66\)

Finally, you simplify and get: \(k\le \:-18\)

Hope this helped!

Answer:

A. 33 and 23

Step-by-step explanation:

33 and 23 have a sum of 56 and a difference of 10, so the answer is A. 33 and 23

Answer:

C

Step-by-step explanation:

Answer:

46 miles

Step-by-step explanation:

First, set up an equation:

(48 + 58 + 68 + 50 + x) ÷ 5 = 54

Add the miles in the parentheses:

(48 + 58 + 68 + 50 + x) ÷ 5 = 54

48 + 58 + 68 + 50 = 224

(224 + x) ÷ 5 = 54

Multiply by 5 on each side:

[(224 + x) ÷ 5] × 5 = (54) × 5

(224 + x) = 270

Subtract 224 on each side to isolate x:

(224 + x) - 224 = (270) - 224

x = 46 miles

Hope this helps! I'd appreciate brainliest but if not that's fine!

Answer:

B, C

Step-by-step explanation:

In the first 30 days, plant B manufactured the most watches, in 80 days the plant C manufactured the most watches.

Answer:

The standard error between the sample mean is approximately 0.3412

Step-by-step explanation:

The equation for the standard error of a difference in sample mean of equal sample sizes is given as follows;

\(SE(\overline x_1 - \overline x_2)={\sqrt{\dfrac{s_{1}^{2} }{n_{1}}+\dfrac{s _{2}^{2}}{n_{2}}}}\)

The given parameters are;

The number of sample of southern grass cicadas, n₁ = 20

The mean body length of the southern grass cicadas, \(\overline x _1\) = 16.22 mm

The standard deviation, s₁ = 1.34 mm

The number of sample of citrus cicadas, n₂ = 20

The mean body length of the citrus cicadas, \(\overline x _2\) = 13.41 mm

The standard deviation, s₂ = 0.73 mm

\(SE(16.22 - 13.41)={\sqrt{\dfrac{1.34^{2} }{20}+\dfrac{0.73^{2}}{20}}} \approx 0.3412\)

The standard error between the sample mean, SE ≈ 0.3412

Each successive shape in the sequence has one more side than the preceding shape. Therefore, the 6th shape in the sequence, an octagon, has 8 sides,beginning with a triangle which has 3 sides

The 6th shape in this pattern is an octagon, which has 8 sides. This pattern follows a sequence of shapes, beginning with a triangle which has 3 sides, followed by a square which has 4 sides, then a pentagon which has 5 sides, and so on. Each successive shape in the sequence has one more side than the preceding shape. Therefore, the 6th shape in the sequence, an octagon, has 8 sides.

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Thee factory is able to provide 94.38 boxes per hour to the warehouse.

Rate = (2000 - 1245) / 8 = 94.38 boxes per hour

Therefore, the factory is able to provide 94.38 boxes per hour to the warehouse.

Boxes added in 40 hours = rate * time = 94.38 * 40 = 3,775.2

Therefore, the inventory at the end of a 40-hour work week would be:

1245 + 3775.2 = 5020.2 boxes

rate = (50000 - 1245) / time

Simplifying this equation, we get:

time = (50000 - 1245) / rate = 511.64 hours (rounded to two decimal places).

Therefore, it will take approximately 511.64 hours to fill the warehouse to its 50,000 box capacity,

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Therefore, The Coordinates of the THIRD VERTEX is:  ( 5, -3 )

        Calculate the midpoint of the given vertices:

        MidPoint = ( -5 + 5/2,  3 + 3/2 )

        MidPoint = ( 0, 3 )

        Distance = √( -5 -5 )^2 + ( 3 - 3 )^2

        Distance = √( -10 )^2  +  (0)^2

        Distance = √100

        Distance =  10

        Side Length =  10/√3

        Side Length = 10/1.7

        Side Length = 5.88

        Height = √3/2  *  Side Length

        Height  = 1.7/2  *  5.88

        Height  =  5

Since the origin lies inside the triangle, The Third Vertex will have a Positive  X-Coordinate and a Negative Y-Coordinate.

       ( x, y )

        x  =  -5 + x/2

        y   =  3 + y/2

       x  =  5

       y  = -3

        Hence, The Coordinate  of the Third Vertex is:  ( 5, -3 )

I hope this helps!

Answer:

r^1 = -3-square root21/4

r^2 = -3+square root21/4

Step-by-step explanation:

Answer:

y = 5 + 2.5x

Step-by-step explanation:

1: they start off with a $5 entry fee, so even if no pounds of apples were bought, they would still have to pay $5.

2: For each pound of apples bought, it costs 2.5, therefore if they bought 3 pounds, it would be 3 x 2.5, if they bought 7 pounds, it would be 7 x 2.5. If they bought x pounds, it would be x x 2.5 = 2.5x

3: Putting that together, the total cost is the entry fee plus the money spent on apples.

4: Y (total cost) = 5 + 2.5x

Hope this helps, let me know if you have any questions :)

Answer: Use main properties of powers

to simplify given equation.

1.

2.

3. Then the equation is

The bases are the same, so equate the powers:

2x=-3x-15,

2x+3x=-15,

5x=-15,

x=-3.

Answer: for x=-3.

Step-by-step explanation:

Answer:

40/31

Step-by-step explanation:

4x = (1/8)x + 5

=> 4x - 5 = (1/8)x

=> 8(4x-5) = x

=> 32x - 40 = x

=> 32x - x = 40

=> 31x = 40

=> x = 40/31

Using simple mathematical operations, the missing values are as follows:

(B) Dijon Mustard: 18g

(C) Barbeque sauce: 70g

(D) Worcestershire sauce: 10.35g

(E) Kosher salt: 1.5g

(F) Ground black pepper: 2.3g

(G) Crushed red pepper: 1.15g

So, we can calculate missing values as follows:

(B) Dijon Mustard: 18g

(C) Barbeque sauce: 70g

(D) Worcestershire sauce: 10.35g

(E) Kosher salt: 1.5g

(F) Ground black pepper: 2.3g

(G) Crushed red pepper: 1.15g

Therefore, using simple mathematical operations, the missing values are as follows:

(B) Dijon Mustard: 18g

(C) Barbeque sauce: 70g

(D) Worcestershire sauce: 10.35g

(E) Kosher salt: 1.5g

(F) Ground black pepper: 2.3g

(G) Crushed red pepper: 1.15g

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Answer:

Step-by-step explanation:

we are given that one angle is 40 degrees. The right angle below that is 90 degrees. Right angles will always equal 90 degrees. with the two angles how do we solve. Triangles no matter what will always be 180 degrees so,

40+90+x=180

130+x=180

-130     -130

x=50 degrees

Answer:

b

Step-by-step explanation:

..........................................

Answer:

85

Step-by-step explanation:

2(-4)^2=32

-10(-4)=40

32+40+13=85

Answer:

1=6

Step-by-step explanation:

Divide both sides of the equation by the same term

1=6

The best definition of SST is:

(C) The total amount of variation in the y variable.

The total sum of squares (SST) is a measure of the total variation in a data set. It represents the total amount of deviation of each data point from the mean of the data set.

The total sum of squares can be broken down into two components: explained variation and unexplained variation. The explained variation is the part of the total sum of squares that can be attributed to the influence of one or more variables on the response variable.

The sum of squares total, denoted SST, is the squared differences between the observed dependent variable and its mean. You can think of this as the dispersion of the observed variables around the mean – much like the variance in descriptive statistics.

The correct option is (C)

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Given:

Total number of curlers = 16

Pink Curlers = 1/4 of 16

Green Curlers = same with pink = 1/4 of 16

Soda Cans = 16 curlers minus pink and green curlers

To determine how many soda can curlers are in Carrie's head, let's determine first how many pink and green there are.

Since there are 1/4 of the curlers are pink, let's determine how many curlers exactly are pink by multiplying 1/4 to 16.

Therefore, there are 4 pink curlers. Similarly, there are also 4 green curlers since it is stated in the problem that they have the same count.

So, 16 curlers minus 4 pink and 4 green curlers, there are 8 soda cans curlers in Carrie's head.

The expected value of X, the sum of the number of spots on the dice and the number of coins that land heads up, can be calculated by finding the average of all possible outcomes. To find the expected value, we need to determine all the possible outcomes and their corresponding probabilities.

Let's first consider the possible outcomes for the dice. Each dice has six sides, so the sum of the spots on the dice can range from 3 (if all three dice show 1) to 18 (if all three dice show 6). There are a total of 6^3 = 216 possible outcomes for the dice.

Next, let's consider the possible outcomes for the coins. Each coin can either land heads up or tails up, so the number of coins that land heads up can range from 0 to 6. There are a total of 2^6 = 64 possible outcomes for the coins.

To find the expected value of X, we need to calculate the sum of all possible outcomes multiplied by their corresponding probabilities. Since the dice and coins are fair, each outcome has an equal probability of occurring.

To calculate the expected value, we can sum up the products of each outcome and its probability.

For example, the outcome X = 3 (dice show 1, no coins heads up) has a probability of (1/6) * (1/2)^6 = 1/384. So, the contribution of this outcome to the expected value is (3) * (1/384).

We repeat this calculation for all possible outcomes and sum up the contributions to get the expected value of X.

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The expected value of the lottery is $680 dollars which is among the options provided.

Expected value of a lottery refers to the amount that an individual will get on average after multiple trials. It is calculated as a weighted average of possible gains in the lottery with the weights being the probability of each gain.

Assuming that in a lottery you can win 2,000 dollars with a 30% probability, 0 dollars with a 50% probability, and 400 dollars otherwise, the expected value of this lottery is $720 dollars. This is because the probability of winning $2,000 is 30%, the probability of winning 0 dollars is 50%, and the probability of winning $400 is the remaining 20%.

Expected value = 2,000(0.30) + 0(0.50) + 400(0.20)

Expected value = 600 + 0 + 80

Expected value = 680 dollars

So, the expected value of the lottery is $680 dollars which is among the options provided.

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Using trigonometric relations we can see that:

y = 20

x = 40

Here we can see a right triangle and we want to find the missing side lengths, to do so we need to use trigonometric relations.

Remember that:

tan(a) = (opposite cathetus)/(adjacent cathetus)

Replacing what we know we will get:

tan(60°) = 20√3/y

Solving for x:

y = 20√3/(tan(60°)

y = 20

And for the hypotenuse we can use:

sin(a) = (opposite cathetus)/hypotenuse

sin(60°) = 20√3/x

Solving for y:

x =  20√3/sin(60°)

x  = 2*20 = 40

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To determine whether a critical point is a relative minimum or maximum using concavity, we need to examine the second derivative of the function at the critical point.

If the second derivative is positive, then the function is concave up, meaning it is shaped like a bowl opening upwards. At a critical point where the first derivative is zero, this indicates a relative minimum, as the function is increasing on either side of the critical point.

On the other hand, if the second derivative is negative, then the function is concave down, meaning it is shaped like a bowl opening downwards. At a critical point where the first derivative is zero, this indicates a relative maximum, as the function is decreasing on either side of the critical point.

If the second derivative is zero, then the test is inconclusive and further analysis is needed, such as examining higher order derivatives or using other methods such as the first derivative test.

Therefore, the concavity test is a useful method for determining the nature of critical points and whether they represent a relative minimum or maximum.

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Complete question is:

What we need to examine for a method for determining whether a critical point is a relative minimum or maximum using concavity.

The factor of the expression x² + 3x - 4 will be (x + 4) and (x - 1). And the variable 'x' represents the length of the rectangle.

The area of the rectangle is the multiplication of the two different sides of the rectangle. Then the rectangle's area will be

Area of the rectangle = L × W square units

Let 'x' be the length of the rectangle. Then the width will be (x - 5). Then the factors of the expression is given as,

A = x² + 3x - 4

A = x² + 4x - x - 4

A = x(x + 4) - 1(x + 4)

A = (x + 4) · (x - 1)

The factors of the expression x² + 3x - 4 will be (x + 4) and (x - 1). And the variable 'x' represents the length of the rectangle.

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The multiple of 2 means any number that is completely divisible by 2.

A multiple in mathematics is basically that number which is formed by multiplying a particular number and it is completely divisible by that number.

If we talk about the number 2, then the multiple of 2 will mean that any number that is formed by multiplying 2 into it.

For example, 6 is a number which can be written as 2 x 3.

Here, 3 is multiplying two times and it becomes 6, so, it is a multiple of 2. Also, if any number is appearing in the table of 2 then it is a multiple of 2.

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Answer:

At least two congruent sides

At least two congruent angles

At least one segment that is an angle bisector, while also being a median, while also being a perpendicular bisector, while also being an axis of symmetry.

Step-by-step explanation:

Answer:

In Equilateral triangles, the sides and angles are equal in length.

In Isosceles triangles, however, 2 sides are equal and 2 angles are equal in length.

The speeds for each of the given distance and times are;

A) 45 miles per hr

B) 22 miles per hr

C) 30 miles per hr

D) 50 miles per hr

E) 65 miles per hr

To convert the given values of distance and time to speed in miles per hour, we will just divide the time by the distance. Speed = distance/time

A) 135 miles in 3 hours. Thus;

Speed = 135/3 miles per hour = 45 miles per hr

B) 22 miles in 1 hour. Thus;

Speed = 22/1 miles per hr = 22 miles per hr

C) 7.5 miles in 1/4 hour. Thus;

Speed = 7.5/(1/4) miles per hour = 30 miles per hr

D) 100/3 in 2/3 hour. Thus;

Speed = (100/3 ÷ 2/3) = 50 mph

E) 97.5 in 1.5 hours. Thus;

Speed = 65 miles per hr

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Thus, the curl of the vector field F = (x2 − y2) i + 4xy j is (2x − 2y) k.

The curl of a vector field is a measure of how much the field rotates around a point. To compute the curl of the given vector field F = (x2 − y2) i + 4xy j, we need to calculate the cross product of the gradient operator (del) and F.

Using the formula for the curl, we have:
curl F = (∂Fz/∂y − ∂Fy/∂z) i + (∂Fx/∂z − ∂Fz/∂x) j + (∂Fy/∂x − ∂Fx/∂y) k

Where Fx, Fy, and Fz are the components of F in the x, y, and z directions, respectively.

In this case, F has no z-component, so we can simplify the formula to:
curl F = (∂Fy/∂x − ∂Fx/∂y) k

Now, let's calculate the partial derivatives:
∂Fx/∂y = 0 - (-2y) = 2y
∂Fy/∂x = 2x - 0 = 2x

Therefore, the curl of F is:
curl F = (2x − 2y) k

This means that the field rotates around the z-axis with a magnitude proportional to the difference between x and y. The curl is zero when x equals y, which corresponds to a point of no rotation.

In summary, the curl of the vector field F = (x2 − y2) i + 4xy j is (2x − 2y) k.

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The estimated value of the explanatory variable is not statistically significant at the 5%-level if a. the t-statistic is greater than 2.5.

The t-test is a hypothesis testing technique used to decide whether the estimated coefficient of a linear regression model is statistically significant or not. The t-value is used to measure the size of the difference between the estimated coefficient and the hypothesized value. When the t-value exceeds a critical value, such as 2.5, the estimated value of the explanatory variable is not significant at the 5%-level. It implies that the null hypothesis, which assumes that the explanatory variable's coefficient is zero, cannot be rejected.

The p-value is a measure of the probability of obtaining a more extreme value of the test statistic than the observed value if the null hypothesis is true. A small p-value implies that the null hypothesis should be rejected. When the p-value is less than 0.05, it means that the estimated value of the explanatory variable is significant at the 5%-level.

The confidence interval is a range of values that is expected to include the true value of the population parameter with a specified level of confidence. A 95% confidence interval means that the true value of the population parameter lies within the range 95% of the time. The 95% confidence interval does not contain zero implies that the estimated value of the explanatory variable is statistically significant at the 5%-level since it suggests that the population parameter is different from zero at the 5%-level. Conversely, if the 95% confidence interval contains zero, the estimated value of the explanatory variable is not statistically significant at the 5%-level since it means that the population parameter is not different from zero at the 5%-level. Therefore, it is essential to examine the t-statistic, p-value, and confidence interval while conducting hypothesis testing to make an informed decision.

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Answer:

The answer is 9².

Step-by-step explanation:

9⁵ = 59049

9³ = 125

59049 ÷ 125 (9⁵ ÷ 9³) = 81

9² (9 × 9) = 81

Answer:

27

Step-by-step explanation:

(3^−9)(3^6)(3^6)

=1/19683(3^6)(3^6)

=1/19683(3^6)(3^6)

=(1/19683(729))(3^6)

=1/27(3^6)

=1/27(729)

=27

Answer:

27^3

Step-by-step explanation: