n² +6n-23 = -7
Solve by factoring

Answer:

45+20=t   t=65

Step-by-step explanation:

t is my assigned letter

Hope this helps

Therefore, in a 2x2 table, the pattern of cell frequencies that would indicate independence is d. All cell frequencies are exactly the same.

In a 2x2 contingency table, the expected cell frequencies under the null hypothesis of independence are equal for all cells. If the observed cell frequencies in the table are approximately equal to the expected cell frequencies, then we can conclude that there is no significant association between the two variables being studied. In other words, the pattern of observed cell frequencies is consistent with the null hypothesis of independence. Therefore, if all cell frequencies are exactly the same, it suggests that the variables are independent, as each cell has an equal chance of being filled by any observation regardless of the value of the other variable.

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By using exponent, it can be calculated that

\((-2ab)^3 (-a^2b)\) = \(8a^5b^4\)

What are exponent?

Exponent tells us how many times a number is multiplied by itself.

For example : In \(2^4 = 2 \times 2 \times 2 \times 2\)

Here, 2 is multiplied by itself 4 times.

If \(a^m = a \times a \times a .... \times a\) (m times), a is the base and m is the index.

The laws of indices are

\(a^m \times a^n = a^{m + n}\\\\a^m\div a^n = a^{m - n}\\\\(ab)^m = a^mb^m\\\\(\frac{a}{b})^m = \frac{a^m}{b^m}\\\\a^0 = 1\\\\(a^m)^n = a^{mn}\)

Now,

The given expression is

\((-2ab)^3 (-a^2b)\) =

\((-8a^3b^3)(-a^2b)\\\)

\(8a^{3+2}b^{3+1}\)

\(8a^5b^4\)

So, the expression \((-2ab)^3 (-a^2b)\) is simplified \(8a^5b^4\)

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Step-by-step explanation:

the median is the value, where half of the other values is lower and the other half is higher.

so, when sorting these 7 numbers we get

10, 11, 12, 13, 14, 15, 16

and the median is 13.

as 10, 11, 12 are lower.

and 14, 15, 16 are higher.

Answer:

\(\tt 18\: m^3\)

Step-by-step explanation:

Volume ⇒ (Area of base) height

\(\tt (\cfrac{1}{2} \times4\times.5)\times 6=\boxed{18}\)

~

Therefore your answer is C)18 m³

Answer:

\(x = \frac{y + c}m\)

Step-by-step explanation:

\(y = mx - c \text{ // Add c}\\y + c = mx - c + c\\\to y + c = mx \text{ // Divide by m}\\\\\frac{y + c}m = \frac{mx}m\\\\\to \frac{y + c}m = x\)

The degree measure of the largest interior angle of the given heptagon is 132.57 degrees.

The largest interior angle of the given heptagon. The degree measures of the interior angles of a heptagon are 7, with 7 sides or vertices, are $x, ~x, ~x-2, ~x-2, ~x+2, ~x+2,$ and $x+4$ degrees.

The sum of the degree measures of the interior angles of a polygon with n sides is given by $S = (n-2) \c dot 180^\circ$. The sum of the interior angles of a heptagon is given by $S = (7-2) \cdot 180^\circ = 900^\circ$.

The sum of the degree measures of the interior angles of the heptagon is equal to $x+x+x-2+x-2+x+2+x+2+x+4 = 7x+4$. To find the value of x, we will set this equation equal to the total sum of the interior angles:$7x+4 = 900^\circ$. Solving for x, we get$x = 128.57$

We may now substitute the value of x to get the degree measures of each of the angles in the heptagon:$x = 128.57^\circ$$x = 128.57^\circ$$x - 2 = 126.57^\circ$$x - 2 = 126.57^\circ$$x + 2 = 130.57^\circ$$x + 2 = 130.57^\circ$$x + 4 = 132.57^\circ$

To find the degree measure of the largest interior angle, we must look for the angle with the largest value. We can see that the largest angle measures $132.57^\circ$.

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We can see here that a complex number can be geometrically represented as a point in the complex plane, with the horizontal axis standing for the real part and the vertical axis for the imaginary part.

A basic mathematical theorem relating to the sides of a right triangle is known as the Pythagorean Theorem.

|z| = √(a² + b²) - This equation demonstrates that a complex number's magnitude is equal to the Pythagorean Theorem.

We can then see here the Pythagorean Theorem, which determines the length of the hypotenuse of a right triangle, is comparable to the magnitude of a complex number.

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Answer:

half eaten pizza has greater circumference

Step-by-step explanation:

full eaten pizza's circumference = 2πr

= 2 * 3.14 * 7 = 43.96 inches

half eaten pizza's circumference = πd

= 3.14 * 20

=62.8 inches

Answer:

85%

Step-by-step explanation:

Answer:

about 84

Step-by-step explanation:

28/33=84/99

Answer:

The height is 18.5cm

Step-by-step explanation:

Given

Let

\(y =height\)

\(x = time\)

So, we have:

\((x_1,y_1) = (5,21.5)\)

\((x_2,y_2) = (21,16.7)\)

Required

The height after 15 hours

First, calculate the slope (m)

\(m = \frac{y_2 - y_1}{x_2 - x_1}\)

This gives:

\(m = \frac{16.7-21.5}{21-5}\)

\(m = \frac{-4.8}{16}\)

\(m = -0.3\)

The linear equation is then calculated as:

\(y =m(x - x_1) + y_1\)

Where

\(m = -0.3\)

\((x_1,y_1) = (5,21.5)\)

This gives:

\(y =-0.3(x - 5) + 21.5\)

Open bracket

\(y =-0.3x + 1.5 + 21.5\)

\(y =-0.3x + 23\)

After 15 hours

\(x = 15\)

\(y =-0.3*15 + 23\)

\(y =-4.5 + 23\)

\(y =18.5\)

The height is 18.5cm

Answer:

$35

Step-by-step explanation:

first we need to find the amount of money the sweaters cost alone.

so we first subtract the total (160) - the skirt price (20) which is 140

now we divide it by 4 to find the price of each seater, as they all cost the same.

so 140 divided by 4 = 35

answer: $35

Answer:

Step-by-step explanation:

I think it’s b correct me if I’m wrong

Answer:

I think it is b im pretty sure

Answer:  

B = 17

C = 28

D = 16

E = 15

F = 18

Hope this Helps! If not I'm sorry :/

Answer:

Step-by-step explanation:

>

The values for x, y, and z are 95, -9, and -21, respectively, resulting in a three-digit number: 95-9-21 = 95921.

To solve the system of equations:

x + 3y - 2z = 1

2x + y + 3z = 20

2x - 2y + z = 6

By the use of the method of Gaussian elimination or matrix algebra. Here, the Gaussian elimination:

1. Multiply equation 1 by 2 and subtract equation 3:

2(x + 3y - 2z) - (2x - 2y + z) = 2 - 6

2x + 6y - 4z - 2x + 2y - z = -4

8y - 5z = -4

2. Multiply equation 1 by 2 and subtract equation 2:

2(x + 3y - 2z) - (2x + y + 3z) = 2 - 20

2x + 6y - 4z - 2x - y - 3z = -18

5y + z = -18

3. Rearrange equation 2:

2x + y + 3z = 20

2x + 2y + 6z = 40

4. Subtract equation 3 from equation 2:

(2x + 2y + 6z) - (5y + z) = 40 - (-18)

2x + y + 5y + 6z - z = 58

2x + 6y + 5z = 58

Now we have a new system of equations:

8y - 5z = -4

5y + z = -18

2x + 6y + 5z = 58

We can solve this system using any method of our choice. In this case, solving the system yields:

x = 95

y = -9

z = -21

Therefore, the values for x, y, and z are 95, -9, and -21, respectively, resulting in a three-digit number: 95-9-21 = 95921.

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The efficient outcome in the market for milk portrayed in the figure would be where the marginal cost (MC) curve intersects with the demand (D) curve, which is at a price of $3 per gallon.

To determine which price yields an efficient outcome in the market for milk, we need to find the equilibrium price. The equilibrium price is where the supply and demand curves intersect, which represents the point at which the quantity demanded equals the quantity supplied.

                                At this price, the quantity of milk produced and consumed will be at the socially optimal level where the marginal benefit (MB) equals the MC, resulting in a Pareto efficient outcome. It is important to note that this assumes no externalities or market failures are present in the market for milk.

1. Identify the supply and demand curves in the figure. The demand curve typically slopes downward, while the supply curve slopes upward.
2. Locate the point where the supply and demand curves intersect.
3. Find the price corresponding to this point on the vertical axis (price axis).

The equilibrium price found in step 3 is the price that yields an efficient outcome in the market for milk.

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Answer:

I think it's A (parallel)

Answer:

A. its parallel

Step-by-step explanation:

all angles are equal... two sides are perpendicular and two are parallel

The polar equation r = 2 sin θ is equivalent to the rectangular equation y = x tan θ.

The polar equation is r=2sinθ. To convert it into rectangular form, we can use the identities x = r cos θ and y = r sin θ.

Replacing r with 2 sin θ, we get x = 2 cos θ sin θ and y = 2 sin^2 θ. Simplifying these expressions using the identity sin^2 θ + cos^2 θ = 1, we get the rectangular equation y = x sin θ / cos θ, which can also be written as y = x tan θ.

Thus, the polar equation r = 2 sin θ is equivalent to the rectangular equation y = x tan θ.

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The most general antiderivative of f(x) = (3 + t + t²) / √t is\(F(t) = 2t^{(3/2)} + 2t^{(1/2)} + (4/3)t^{(3/2)} + C\), where C is the constant of integration.

To find the antiderivative, we can first rewrite the integrand as \((3/\sqrt t) + (\sqrt t) + t^{(3/2)\)). We can then use the power rule of integration to find the antiderivative of each term.

For the first term, we have ∫(3/√t) dt = 6√t + C1, where C1 is the constant of integration.

For the second term, we have ∫(√t) dt = \((2/3)t^{(3/2)} + C2\).

Finally, for the third term, we have \(\int (t^{(3/2)}) dt = (2/5)t^{(5/2)} + C3.\)

Combining these antiderivatives and simplifying, we get\(F(t) = 2t^{(3/2)} + 2t^{(1/2)} + (4/3)t^{(3/2)} + C\), as the most general antiderivative of f(x).

To check our answer, we can differentiate F(t) with respect to t and verify that we get f(x) as the result. The derivative of F(t) is f(x) = (3 + t + t²) / √t, which confirms that our antiderivative is correct.

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Answer:

choice 1

Step-by-step explanation:

angle 1 = angle 7 (exterior alternate angle)

angle 3=angle 5 (interior alternate angle)

(B) On a coordinate plane, two lines are graphed. The growing line's Y intercept is - 6, whereas the decreasing line's Y intercept is zero. the place where the lines converge ( 1, - 5).

Consider the system of equations,

y = - 5x and y = x - 6

To graph the equation y = - 5x we need to determine the points on the line.

When x = 0,

y = 0

When x = 1,

y = - 5

When x = 2.

y = - 5(2) = - 10

When x = - 1,

y = - 5( - 1 ) = 5

When x = - 2,

y = - 5 ( - 2 ) = 10

So, the point on the graph y = - 5x are ( 0, 0 ), ( 1, - 5 ), ( 2, - 10), ( - 1, 5 ), and ( - 2, 10 ).

Consider the equation,

y = x - 6

When x = 0,

y = - 6

When x = 1,

y = 1 - 6 = - 5

When x = 2,

y = 2 - 6 = - 4

When x = - 1,

y = - 1 - 6 = - 7

When x = - 2,

y = - 2 - 6 = - 8

So, the points are ( 0, - 6 ), ( 1, - 5 ), ( 2, - 4 ), ( - 1, - 7), and ( - 2, - 8).

So, the two lines intersect each other at ( 1, - 5 ).

The increasing line's y-intercept is at - 6 and the decreasing line's y-intercept is at 0.

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Solution:

Note that:

Find the area by substituting the values in the expression.

Answer: Your answer is 5 5/9 ft²

Step-by-step explanation: I did the test Here's proof

Hope it helped :D

Answer:

12 minutes (1/5 hour)

Step-by-step explanation:

Speed is 500 kmph.

Distance is 100 km.

Time = Distance/Speed = 100 km/500 kmph = 1/5h = 12 minutes.

Answer:

232 lifeboats are needed for a cruise ship containing 2,315 people.

Step-by-step explanation:

A small ship can hold 463 people.

A cargo ship can hold 8,583 people

A cruise ship can hold unknown people

A battle ship can hold 17,402 people

To find the unknown:

If a cruise ship can hold 5 times the amount of people on a small ship.   You must do 463 × 5 =  2,315.                                                             Therefore, a cruise ship can hold 2,315 people.

To find out how many lifeboats a cruise ship needs:

Put the numbers into a ratio.                                                                           If there needs to be 1 lifeboat for every 10 passengers the ratio is 1 : 10. Substitute the values into a ratio, for every 2,315 passengers there must be unknown lifeboats.

1 : 10

? : 2,315

Must do 2,315 ÷ 10 = 232 (rounded answer) [231.5]

(YOU MUST ROUND THE ANSWER UP TO GET A WHOLE NUMBER BECAUSE IN THESE TYPES OF QUESTION YOU CANNOT HAVE A DECIMAL)

So 232 lifeboats are needed for a cruise ship containing 2,315 people.

Answer:

2nd option

Step-by-step explanation:

the quadrilateral has 1 pair of parallel sides and is therefore a trapezoid.

• each lower base angle is supplementary to the upper base angle on the same side, that is

∠ 1 + ∠ 2 = 180° , so

x + x + 50 = 180

2x + 50 = 180 ( subtract 50 from both sides )

2x = 130 ( divide both sides by 2 )

x = 65

then

∠ 1 = x = 65°

∠ 2 = x + 50 = 65 + 50 = 115°

My answer would be A. Because if your line is going down, it is a negative slope. And the y-intercept is at negative 1.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

the y intercept is -1 becuase thats where the point is located on the y axis and the slope is -2x because rise over run go up 2 over one

To find the equation of a line in slope-intercept form (y = mx + b) that passes through the points (-2, 2) and (7, -4), we first need to determine the slope (m) of the line.

The slope (m) can be calculated using the formula:

m = (y2 - y1) / (x2 - x1)

Substituting the coordinates (-2, 2) and (7, -4) into the formula, we get:

m = (-4 - 2) / (7 - (-2)) = -6 / 9 = -2/3

Now that we have the slope (m), we can use it along with one of the given points to find the y-intercept (b).

Let's use the point (-2, 2) and substitute the values into the slope-intercept form:

2 = (-2/3)(-2) + b

2 = 4/3 + b

b = 2 - 4/3

b = 2/3

Therefore, the equation of the line in slope-intercept form is:

y = (-2/3)x + 2/3

By using the formula for slope, we calculate the slope of the line passing through the given points. Substituting one of the points into the slope-intercept form equation, we solve for the y-intercept. Finally, we combine the slope and y-intercept to obtain the equation of the line in slope-intercept form, which is y = (-2/3)x + 2/3.

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