what is the cube root of -27​

Where the above is given, the required angle m∠BAC = 45°.

In triangle ABC. AC represents the foreman’s line of sight to the top of the landfill. Landfill height is BC

The triangle is geometric shape which includes 3 sides and sum of interior angle should not grater than 180°

According to conditions angle b = 90°

The sum of angles of a triangle= 180°

That is a + b + c = 180

Therefore, c = a

       a = (180 - b)/2

          = (180 - 90) / 2

          = 90 / 2

          = 45°

Hence, the required angle m∠BAC = 45°

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Full Question:

Although part of your question is missing, you might be referring to this full question:

Question 1 Create Triangle ABC by drawing AC. Segment AC represents the foreman’s line of sight to the top of the landfill. What is Angle m BAC?

Answer:

6 hours is your answer, good luck

Answer:

6 hours

Step-by-step explanation:

Answer:

\( \boxed{x = -14} \)

Step-by-step explanation:

\(Solve \: for \: x: \\ \implies - x+8 + 3x=x - 6 \\ \\ Grouping \: like \: terms, \: - x + 8 + 3x = ( - x + 3x) +8 : \\ \implies ( - x+3x)+8=x - 6 \\ \\ 3x - x=2x: \\ \implies \boxed{2x} +8=x - 6 \\ \\ Subtract \: x \: from \: both \: sides: \\ \implies( 2x- \boxed{x})+8=(x- \boxed{x})-6 \\ \\ 2x - x = x: \\ \implies \boxed{x}+8=(x-x)-6 \\ \\ x - x = 0: \\ \implies x+8=-6 \\ \\ Subtract \: 8 \: from \: both \: sides: \\ \implies x + (8 - \boxed{8}) = - \boxed{8} - 6 \\ \\ 8 - 8 = 0 : \\ \implies x = - 8 - 6 \\ \\ - 8 - 6 = - 14 : \\ \implies x = - 14\)

Answer: x=3

Step-by-step explanation: Step 1: Simplify both sides of the equation.

21x−5=7+17x

21x+−5=7+17x

21x−5=17x+7

Step 2: Subtract 17x from both sides.

21x−5−17x=17x+7−17x

4x−5=7

Step 3: Add 5 to both sides.

4x−5+5=7+5

4x=12

Step 4: Divide both sides by 4.

\(\frac{4x}{4}\) = \(\frac{12}{4}\)

So Final Answer: x=3

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Answer:

x=3

Step-by-step explanation:

21x-5=7+17x

21x-17x=7+5

4x= 12

x=12÷4

x=3

Answer:

163 times

Step-by-step explanation:

Let us first find how many minutes she was on the International Space Station:

1 hour = 60 minutes

114.1 hours = 114.1 * 60 = 6846 minutes

The station orbits earth every 42 minutes. Therefore, the number of times the station will orbit the earth during her stay is:

6846 / 42 = 163 times

Answer:

I am not super positive this is the answer but I think it is 900

Step-by-step explanation:

Volume = LxWxH

In linear equation, 90 ft  is  the distance between the two players .

What in mathematics is a linear equation?

Let player 1 distance  from home plate = x ft

 so, dx/dt = 20 ft/sec

let player 2 distance from 2nd base  = y ft

       dy/dt = 15 ft/sec

we know that baseball around is of square type with length 90 ft .

 we have to find change in s.

   x = 40 ft ,     y = 50 ft

applying Pythagoras .

                     S² = (90)²  +  ( 90 - ( x + y ) )²

                     S² = ( 90)² + ( 90 - ( 50 + 40 ))²

                     S² = 90²

                     S = 90

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If the region bounded by the curves y=x2−4x and y=4x is revolved about the line y=−4, the integral for the volume of the solid that is generated is  V = \(\int\limits^4_0\\\) 2πx(x^2-8x-12) dx

To find the volume of the solid generated by revolving the region bounded by the curves y=x^2-4x and y=4x about the line y=-4, we need to use the method of cylindrical shells.

First, we need to determine the limits of integration. The two curves intersect at x=0 and x=4. Thus, we will integrate from x=0 to x=4.

Next, we need to determine the height of each cylindrical shell. The distance between the line y=-4 and the curve y=x^2-4x is (x^2-4x)-(-4) = x^2-4x+4 = (x-2)^2. The distance between the line y=-4 and the curve y=4x is 4x-(-4) = 4x+4. Thus, the height of each cylindrical shell is (x-2)^2 - (4x+4) = x^2-8x-12.

Finally, we need to determine the radius of each cylindrical shell. The radius is simply x.

Thus, the integral that will determine the volume of the solid generated is given by:

V = \(\int\limits^4_0\\\) 2πx(x^2-8x-12) dx

After solving the integral, we get the volume of the solid generated by revolving the region bounded by the curves y=x^2-4x and y=4x about the line y=-4.

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Answer:

I may be wrong but I beileve its A(-20)

Step-by-step explanation:

Answer: Hey there The answer is simple is -20

Step-by-step explanation:

(2)(12)/-3-12=-20

hope this helps

Answer: -6

Step-by-step explanation: a negative minus a negative becomes a negative plus the positive version of the number

Answer:

1,253 in³

Step-by-step explanation:

The container can be split into two rectangular prisms. Adding their volumes together will give us the volume of the container.

The formula for the volume of a rectangular prism is length×width×height or base×height

Let's substitute!

(l×w×h)+(l×w×h)

=(7×5×5)+(11×14×7)

=175+1078

=1,253 in³

Hope this helps!

Answer: you are correct. The answer is the first option and if you don't believe me look at my explanation.

Step-by-step explanation: Since a ratio can also be written as a fraction, 3:12 = 3/12. So what you do is simplify 3/12 to get 1/4 which equals 1:4.

The segment AB is a radius and the notation is ↔ AB

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

The circle

On the circle, we can see that

The segment AB goes from the center of the circle to a point on the circle

A line that goes from the center of the circle to a point on the circle is the radius of the circle

This means that the segment AB is a radius and the notation is ↔ AB

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Answer:

The estimated answer would be 8

Step-by-step explanation:

When you divide 32 by 4 the answer is 8 and so using mental math you can estimate the answer to be 8 or somewhere around it

Answer:

The width is 8 inches.

Step-by-step explanation:

Let the width be x. Per the question, the length should be 2x + 5. Set up a perimeter equation and solve for x.

I have attached the work to your problem.

Please see the attachment below.

I hope this helps!

The measure of the differences of all observations from the mean, expressed as a single number is called the "standard deviation". It is a commonly used measure of the amount of variability or dispersion within a set of data.

The standard deviation is calculated by taking the square root of the variance, which is the average of the squared differences between each observation and the mean.

It is expressed in the same units as the data itself, and provides a way to understand how spread out the data is from the average or mean value.

A small standard deviation indicates that the data points tend to be close to the mean, while a large standard deviation indicates that the data points are more spread out.

The standard deviation can be used to compare the variability of different sets of data, and can also be used in statistical tests to determine if the difference between two sets of data is statistically significant.

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Answer:

12/6 simplified to lowest terms is 2/1.

Step-by-step explanation:

Divide both the numerator and denominator by the HCF

12 ÷ 6

6 ÷ 6

Reduced fraction:

12/6 simplified to lowest terms is 2/1.

Answer: 2:1

Step-by-step explanation:

12:6

Both left and right can be divided by 6, like a fraction, reduce.

= 2:1

The given expression is a simplified algebraic equation: (1/2) * a^2 - 3b + 2c. It represents a combination of variables a, b, and c with their respective coefficients.

Utilizing symbols and operations, an algebraic equation illustrates the equivalence or inequivalence of two expressions. These generated expressions may hold variables that have varying values.

The premise centered around calculus is to arrive at a solution by acquiring the correct value(s) of these variable(s), ultimately fulfilling the outlined specification in the problem. Algebraic equations can range from uncomplicated linear problems to elaborate polynomials and trigonometric functions.

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The ratio of the leading coefficients and the equation of the horizontal asymptote is degree of numerator and denominator is equal.

The term coefficients in math is defined as the coefficient of the term of highest degree in a polynomial.

Here we have given that  the ratio of the leading coefficients and the equation of the horizontal asymptote.

The term horizontal asymptote is known as  a horizontal line y = b where the graph approaches the line as the inputs approach ∞ or –∞.

As we all know that if the degree of the numerator is equal to the degree of the denominator, then the horizontal asymptote is equal to the ratio of the leading coefficients.

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Showing that the legs of trapezoid CDEF are non-parallel (they have different slopes) and are congruent (they have the same length), we can prove that it is an isosceles trapezoid.

An isosceles trapezoid can be described as trapezoid whose non-parallel sides or legs are congruent to each other, that is, they have equal lengths.

Two segments can only be considered parallel to each other only if they have the same slope.

Given that CDEF is a trapezoid, to prove that it is an isosceles trapezoid, we have to find the slope of the two legs and also their lengths.

Given:

C(0, 2), D(2, 4), E(7, 3), and F(1, –3)

Find slopes of CF and DE:

Slope of CF = change in y/change in x = (2 -(-3))/(0 - 1) = 5/-1 = -5

Slope of DE = change in y/change in x = (4 - 3)/(2 - 7) = 1/-5 = -1/5

The legs of the trapezoid, CF and DE have different slopes.

Using the distance formula, \(d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\), the lengths of the legs are:

CF = √26

DE = √26

Since the legs of trapezoid CDEF have the same length and different slopes (non-parallel), therefore, we can prove that it is an isosceles trapezoid.

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Answer: [B] y - 7 < 2x - 6

Step-by-step explanation:

         We will input (0, 0) into the inequalities to solve this question.

[A] y +7 < 2x + 6

    7 < 6

[B] y - 7 < 2x - 6

    - 7 < - 6

[C] y - 6 < 2x - 7

    - 6 < - 7

[D] y + 7 < 2x - 6

    7 < - 6

         The only answer option that works for this problem is option B;

                  -7 is less than -6

Answer:

B) y - 7 < 2x - 6

Step-by-step explanation:

Substitute (0, 0) in the each of the inequality and check if it satisfies the inequality.

b) 0 - 7 < 0 - 6

        -7 < - 6

(-7) is less than (-6). So, (0,0) is the solution of this inequality.

Answer:

answer is b

Step-by-step explanation:

Answer:

Part A:

To calculate the measures of center, we need to find the mean and median of each set of data.

For Bay Side School:

Mean = (2 x 12 + 1 x 10 + 1 x 8 + 3 x 6 + 1 x 5 + 1 x 4 + 1 x 3 + 1 x 2) ÷ 15 = 6.4

Median = (5 + 5) ÷ 2 = 5

For Seaside School:

Mean = (2 x 10 + 1 x 8 + 2 x 7 + 2 x 6 + 1 x 5 + 1 x 2) ÷ 9 ≈ 7.11

Median = (5 + 6) ÷ 2 = 5.5

Part B:

To calculate the measures of variability, we need to find the range and interquartile range (IQR) of each set of data.

For Bay Side School:

Range = Largest value - Smallest value = 8 - 2 = 6

IQR = Q3 - Q1 = (6 + (8 ÷ 2)) - (3 + (5 ÷ 2)) = (6 +4) - (3+2.5) =4.5

For Seaside School:

Range = Largest value - Smallest value =8 -2=6

IQR=Q3-Q1=(7+(8÷2))−(5+(0÷2))=(7+4)−(5+0)=6

Part C:

If you are interested in a smaller class size, Seaside School is a better choice for you because it has a smaller mean and median than Bay Side School. The mean and median are both measures of center, so they give us an idea of what the typical class size is like at each school. Since Seaside School has smaller values for both measures of center, it is likely that the classes are smaller on average at Seaside School.

For x = 0, the sides of parallelogram are equal.

A parallelogram is a straightforward quadrilateral with two sets of parallel sides in Euclidean geometry. A parallelogram's facing or opposing sides are of equal length, and its opposing angles are of similar size.

There are six crucial parallelogram characteristics to be aware of:

Congruent sides are those when AB = DC.

Congruent opposite angels are D = B.

(A + D = 180°) Consecutive angles are supplementary.

All angles are correct if just one of them is.

A parallelogram's diagonals cut each other in half.

A parallelogram is a four-sided, two-dimensional form in geometry. This particular quadrilateral example has equal and parallel opposite sides.

As the sides of parallelogram are parallel and equal,

2x + 15 = x + 15

2x = x

x = 0

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A correlation coefficient based on the observational study cannot be used to support a claim of cause and effect. The correct answer is D: never.

Correlation does not imply causation, and while a strong correlation between two variables may suggest that there is a relationship between them, it does not prove that one variable causes the other. Observational studies are particularly susceptible to confounding variables, which can make it difficult or impossible to determine whether a relationship between two variables is causal or not.

To establish causality between two variables, a randomized controlled experiment is required. In a randomized controlled experiment, the experimenter can manipulate the independent variable and observe the effect on the dependent variable, while controlling for other variables that might affect the outcome. By randomly assigning subjects to different treatment groups, the experimenter can ensure that any differences in the outcome between groups are due to the treatment, rather than some other factor.

Therefore, while a correlation coefficient can be a useful tool for describing the relationship between two variables, it cannot be used to establish causality.

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The effect on the graph of the parent function after transformation is:

C.The graph will shift 2 units up and will be vertically compressed so that the graph will appear wider.

The vertical shift depends on the value of k. The vertical shift is described as:

f(x) = f(x) + k - The graph is shifted up k units.

f(x) = f(x) − k - The graph is shifted down k units.

Now, we are told that  f(x) = x³, is transformed to f(x) = ¹/₂x³ + 2

Thus, the graph is shifted up by 2 units.

Compressing and stretching depends on the value of a.

When a is greater than 1: Vertically stretched

When a is between 0 and 1: Vertically compressed

In this case, a is 1/2 which is between 0 and 1 and so is Vertically compressed

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Answer:

There were 240 more credit card sales than cash sales.

Step-by-step explanation:

By using the ratio 8:3 I was able to determine that if there were 144 cash sales that would mean that there would be 384 credit card sales. However, the question asks "How many more credit card sales were there than cash sales?" Meaning that we need to find the difference. 384-144= 240.

This means that there were 240 more credit card sales than cash sales.

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