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Answer:

\(3x^2-19x-14\)

Step-by-step explanation:

\(( 3x + 2 ) ( x - 7 )\)

\(=3x^2-21x+2x-14\)

\(=3x^2-19x-14\)

Answer:

c

Step-by-step explanation:

Hello!!!

(3x+2)(x-7)

This type of math, we can use the FOIL method (First Outer Inner Last).

The foil method is (a+b)(c+d) = ac + ad + bc + bd

So: (3x+2)(x-7) = 3x * x, + 3x * (-7), + 2 * x, + 2 * (-7)

We can simplify to: 3x^2 -21x + 2x -14; btw, ^ is squared so, x^2, is x squared

Then we can add -21x and 2x because they are like terms:

3x^2 - 19x - 14

Answer: linear/first degree

Step-by-step explanation:

 (6-t-t^4)+(9t+t^4)

=6-t-t^4+9t+t^4

=8t+6

The degree of a polynomial is determined by the highest degree in the polynomial. The highest degree in this binomial is one, which is first degree or known as linear.

Hope this helps!! :)

Please let me know if you have any question

Answer:

-30x-27y = -21

Step-by-step explanation:

We know that;

-30x-27y = 3(-10x-9y)

Recall, -10x-9y = -7

Thus; -30x-27y = 3(-7) = -21

Answer:

order of operations

Step-by-step explanation:

When you enter a formula with more than one mathematical operation, the formula is not necessarily calculated left to right because excel calculations follow the mathematical rules called the order of operations.

The equation AB=BC for \(A=BCB^{-1}\).

The solution of AB = BC  for A, assuming that A,B and C are square matrices and B is invertible is

We have to solve the equation

AB = BC given that these all are square matrices and B is invertible.

Write the required Equation:

Multiply both sides by inverse of B

The multiplicative inverse of a matrix is the matrix that gives you the identity matrix when multiplied by the original matrix.

⇒\(ABB^{-1} =BCB^{-1}\)

⇒\(AI=BCB^{-1}\)

⇒\(A=BCB^{-1}\)

Therefore, the solution of AB = BC is \(A=BCB^{-1}\).

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Answer:

distance = 7.07 units

Step-by-step explanation:

x difference = 7

y difference = -1

using the Pythagorean theorem:

7² + -1² = d²

d² = 49 + 1 = 50

d = 7.07

Answer:

7.1

Step-by-step explanation:

distance between the x is 7 and y is 1

And to find the hypotenuse, you use the quadratic formula, 7^2 + 1^2 = c^2

c=50

and take the square root, which is 7.071, rounds to 7.1

Answer:

36

Step-by-step explanation:

3x+5+2x-5 = 180 ( being linear pair)

5x = 180

x= 36

The most appropriate test statistic to use for an experiment on relaxation techniques is matched pairs test. So, option(a) is right one.

For determining the validity of an asserting claim, the appropriate test statistic is formulated based on the population parameter to be tested from the estimated test statistic. Determining a claim related to a single parameter (e.g., the population mean) an appropriate test statistic, i.e., t-statistic or z-statistic is chosen based on the sample size. Also, In the case of claim related to examining the relationship between two population parameters, the two-sample test for t- or z statistic is formulated, based on appropriate sample sizes. We have an experiment related to relaxation techniques. The subject's brain signals were noted before and after the relaxation exercises. Claim is that relaxation exercise slowed the brain waves. There is two data sets one before and other after the relaxation exercise. So, for check the claim is true or not we use the matched pairs. The matched-pair t-test (or paired t-test or dependent t-test) that is used when the data from the two groups can be presented in pairs.

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Answer:

7.52 seconds

Step-by-step explanation:

The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation:

\(y = -16x^2+110x+77\)

The rocket will hit the ground when its height is zero, so when y = 0.

Therefore, to find the time that the rocket will hit the ground, substitute y = 0 into the given equation and solve for x using the quadratic formula.

\(x=\dfrac{-b \pm \sqrt{b^2-4ac}}{2a}\quad\textsf{when }\:ax^2+bx+c=0\)

For the given equation:

Substitute the values of a, b and c into the quadratic formula and solve for x:

\(x=\dfrac{-110 \pm \sqrt{110^2-4(-16)(77)}}{2(-16)}\)

\(x=\dfrac{-110 \pm \sqrt{12100+4928}}{-32}\)

\(x=\dfrac{110 \pm \sqrt{17028}}{32}\)

\(x=\dfrac{110 \pm 6\sqrt{473}}{32}\)

\(x=\dfrac{55\pm 3\sqrt{473}}{16}\)

Therefore, the two solutions for x are:

\(x=7.51535559...\)

\(x=-0.640355594...\)

As time cannot be negative, the only valid solution is:

\(x=7.51535559...\)

Therefore, the rocket will hit the ground at 7.52 seconds (to the nearest hundredth of a second) after its launch.

A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. A low standard deviation means data are clustered around the mean, and a high standard deviation indicates data are more spread out.

A) A t-interval with 6 degrees of freedom: Mean +/- 0.76 * Standard Deviation

B) A t-interval with 2 degrees of freedom: Mean +/- 1.82 * Standard Deviation

C) A z-interval: Mean +/- 1.645 * Standard Deviation

Therefore, the intervals in order from narrowest to widest are:

A) A t-interval with 6 degrees of freedom,

C) A z-interval, and

B) A t-interval with 2 degrees of freedom.

The order from narrowest to widest is:

C) z-interval

A) t-interval with 6 degrees of freedom

B) t-interval with 2 degrees of freedom

Also,

The z-interval will be the narrowest because the z-distribution has a smaller variance than the t-distribution. The t-interval with 6 degrees of freedom will be wider than the z-interval because the t-distribution has a larger variance than the z-distribution.

Finally, the t-interval with 2 degrees of freedom will be the widest because the t-distribution has the largest variance when degrees of freedom is low.

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Answer:

Step-by-step explanation:

Step-by-step explanation:

(1) The range of set A is greater than the range of set B.

This statement  gives only the range which means only outermost values but what about the other values. For example-11,0,0,0,11 and -10,-10,0,10,10

Clearly, Former one has higher range but lower standard deviation.

(2) Sets A and B are both evenly spaced sets.

Evenly spaced is fine. However, we don't know the spacing since that is required to know the deviation.

For, example, sets A{2,4,6,8,10} and B {1,2,3,4,5} so in this case SD of A> SD of B. Or,  we can have B{2,4,6,8,10} and A{1,2,3,4,5} so in this case SD of B> SD of A.

The deadweight loss of a tax depends on the responsiveness of both producers and consumers to changes in the price of the good.

A tax of $1.50 a chocolate bar will cause the price of chocolate bars to increase, resulting in a decrease in the quantity of chocolate bars bought. The demand curve for chocolate bars will shift to the left.

Consumers are going to be less willing to buy chocolate bars if the cost is higher. Producers, on the other hand, would be willing to supply less of the chocolate bars since they would be earning less profit.The burden of the tax is divided between consumers and producers.

Consumers will pay some of the tax because they will have to pay a higher price for the chocolate bar, but producers will also pay some of the tax because they will receive less money per chocolate bar sold. However, since the demand for chocolate is inelastic, consumers will bear the majority of the tax burden.

The deadweight loss is the economic inefficiency caused by the imposition of a tax. It is a loss of consumer and producer surplus that occurs when a market is not in equilibrium. A deadweight loss is incurred when taxes raise the price of a good above the equilibrium level. In other words, a deadweight loss is incurred when taxes result in a loss of consumer and producer surplus.

The deadweight loss of a tax is typically calculated as the area between the supply and demand curves from the new equilibrium price and quantity, compared to the original equilibrium price and quantity.

The magnitude of the deadweight loss depends on the elasticity of demand and supply for the good being taxed.

Therefore, the deadweight loss of a tax depends on the responsiveness of both producers and consumers to changes in the price of the good.

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When testing for NULL values to find Customers who have no Orders, which column is best to include in the WHERE clause below:

WHERE __________ IS NULL

The primary key from the Orders table

The correct answer to the question is (b) IS NOT NULL.  This operator is used in SQL queries to find the rows that have a value in the specified column, i.e., the rows that are not null.

A null value represents an unknown or missing value, and it can be assigned to a column when there is no data available for that attribute. In SQL, null values are not equivalent to zero or an empty string, and they cannot be compared using the regular comparison operators. Hence, the IS NOT NULL operator is used to filter out the rows that have a valid value in the specified column.  For example, if we have a table of employees with columns such as employee_id, first_name, last_name, and department_name, we can use the IS NOT NULL operator to find the employees who have a valid department_name assigned to them. The query would be:

SELECT employee_id, first_name, last_name

FROM employees

WHERE department_name IS NOT NULL;

This query would return all the rows from the employees table where the department_name column is not null, i.e., the employees who have a department assigned to them. In summary, the IS NOT NULL operator is used to filter out null values from a column and retrieve the rows that have valid data.

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Answer:

Step-by-step explanation:

-(2.6m + 5) = -1(2.6m + 5) = -1•2.6m +(-1)•5 = -2.6m - 5

Answer:

-2

Step-by-step explanation:

h(-5) represents the y value when x is -5.

Answer:1.all real numbers

2.x=0

3.no solution

Step-by-step explanation:

The values of Z such that e² = 2 + i√3 are Z = ln(2 + i√3) + 2πik, where k is an integer.

To find the values of Z, we can start by expressing 2 + i√3 in polar form. Let's denote it as re^(iθ), where r is the modulus and θ is the argument.

Given: 2 + i√3

To find r, we can use the modulus formula:

r = sqrt(a^2 + b^2)

= sqrt(2^2 + (√3)^2)

= sqrt(4 + 3)

= sqrt(7)

To find θ, we can use the argument formula:

θ = arctan(b/a)

= arctan(√3/2)

= π/3

So, we can express 2 + i√3 as sqrt(7)e^(iπ/3).

Now, we can find the values of Z by taking the natural logarithm (ln) of sqrt(7)e^(iπ/3) and adding 2πik, where k is an integer. This is due to the periodicity of the logarithmic function.

ln(sqrt(7)e^(iπ/3)) = ln(sqrt(7)) + i(π/3) + 2πik

Therefore, the values of Z are:

Z = ln(2 + i√3) + 2πik, where k is an integer.

The values of Z such that e² = 2 + i√3 are Z = ln(2 + i√3) + 2πik, where k is an integer.

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Answer:

x = 78º

y = 35º

Step-by-step explanation:

These are isosceles triangles

two angles are congruent

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

x + 51 + 51 = 180

x = 180 - 102

x = 78º

y + y + 110 = 180

2y = 70

y = 35º

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Answer:

6.3 is correct

Step-by-step explanation:

According to the attachment, The given figures are similar to each other therefore the sides are proportional to each other.

\(\tt\frac{10.4}{5.2} =\frac{12.6}{x}\)

Cross multiplying the values,

\(\tt 10.4\) × \(\tt 5.2~x~12.6\)

Simplifying further,

⇒ \(\tt x=\frac{5.2~x~12.6}{10.4}\)

⇒ \(\tt x=\frac{65.52}{10.4}\)

⇒ \(\tt x=6.3\)

Thus the answer of x is 6.3.

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The space-mean speed of the four vehicles is approximately 64 mph.

The given information about the speeds of four vehicles measured at the midpoint of a roadway section are as follows:Vehicle Speed (mph)A 55B 50C 74D 78The space-mean speed of the four vehicles can be found out by the following formula:Space-mean speed = {Sum of the individual speeds of the vehicles}/{Number of vehicles}Space-mean speed = (55 + 50 + 74 + 78)/4Space-mean speed = 257/4Space-mean speed ≈ 64 mph (rounded to the nearest mph)

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This would give us the coordinates for E as (1, 4).  Similarly, we can use the same method to find the coordinates for F, G, and H.  F would be (7,2), G would be (9,-5), and H would be (3,-6).

The coordinates of E can be found by taking the average of the x and y coordinates of points A and B.  This would give us the coordinates for E as (1, 4).  Similarly, we can use the same method to find the coordinates for F, G, and H.  F would be (7,2), G would be (9,-5), and H would be (3,-6).  To find the coordinates for these points, we use the formula \((x1 + x2)/2, (y1 + y2)/2\).  For example, to find the x coordinate for E, we would use (-2 + 4)/2 = 1, and for the y coordinate of E, we would use (3 + 5)/2 = 4.  We can then use this formula to find the coordinates for all of the midpoints.Step 1: Find coordinates of E, F, G, and H E: (1, 4) F: (7, 2) G: (9, - 5) H: (3, - 6) Step 2: Calculate the perimeter of the quadrilateral ABCD,Perimeter = |AB| + |BC| + |CD| + |DA = |(-2, 3) - (4, 5)| + |(4, 5) - (10, -1)| + |(10, -1) - (8, -9)| + |(8, -9) - (-2, 3)| = (6 + 14 + 18 + 10) = 48

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Answer:

-9

Step-by-step explanation:

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

Explanation:

We can use the SSS congruence theorem to prove triangle WZX is congruent to triangle YZX. Then that leads to angle WZX = angle YZX.

In short, we've proven that ZX bisects angle WZY. Similarly, segment WY cuts angle XYZ in half. The proof is the same idea as mentioned in the first paragraph. For any rhombus, the diagonals always bisect the angles inside the rhombus.

Also, for any rhombus, the adjacent angles are supplementary.

So,

(angle WZY) + (angle XYZ) = 180

(angle WZY) + (136) = 180

angle WZY = 180 - 136

angle WZY = 44 degrees

Then we cut this in half to get the measure of angle XZY

angle XZY = (angle WZY)/2

angle XZY = (44)/2

angle XZY = 22 degrees

Set this equal to the 10x-8 expression and solve for x.

10x-8 = 22

10x = 22+8

10x = 30

x = 30/10

x = 3

Answer:

there are 4 boys for every 5 girls.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Could you try putting it into equation format? it's really confusing.

But: assuming that \(h(x)=\sqrt{8x+6}\)

The most obvious would be \(f(x)=\sqrt{x}\) and \(g(x)=8x+6\)

With f coming first.

The length of AC in triangle BAC is equal 10.7 units

In trigonometry, the cosine rule says that the square of the length of any side of a given triangle is equal to the sum of the squares of the length of the other sides minus twice the product of the other two sides multiplied by the cosine of angle included between them.

The formula is given as

AC² = AB² + BC² - 2(AB)(BC) cos AC

AC² = 6² + 7² - 2(6)(7)cos110

AC = 10.7

Using cosine rule, the length of AC is 10.7 unit.

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The calculated value of the volume of the rectangular prism is 18 cubic centimeters

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

The dimensions of a rectangular prism are 1.5 cm by 6 cm, by 2 cm

The volume of a rectangular prism is given by the formula:

V = l x w x h

where l, w, and h are the length, width, and height of the prism, respectively.

In this case, the length is 1.5 feet, the width is 6 feet, and the height is 2 feet.

Therefore, the volume is:

V = 1.5 cm x 6 cm x 2 cm

V = 18 cubic cm

So the volume of the rectangular prism is 18 cubic cm

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Complete question

The dimensions of a rectangular prism are 1.5 cm by 6 cm, by 2 cm

The volume of the rectangular prism is the product of its length, width, and height. What is the volume of the rectangular prism in simplest terms? Type the correct answer in the box. Use numerals instead of words. The volume of the rectangular prism is cubic centimeters

Answer: 24

Step-by-step explanation: Edmentum Answer