Which expression is equivalent to d
6d – 3d?

Above are four equations we can use to solve for the values of x, y, z, and w.

Since it is already shown that w = 3, let's solve for "z" using the third equation.

From the above solution, the value of z = -1.

To solve for "y", let's use the second equation and the values of w and z.

The value of y is 8 as shown above.

Lastly, to solve for "x", let's use the first equation and the values of w, z, and y.

The value of x is -17.5 or -35/2.

To summarize the results, we have:

x = -35/2

y = 8

z = -1

w = 3

Answer:

Step-by-step explanation:

Observe that \(y^6-64=y^6-2^6.\)

And you factor out using this expression:

\((a^6-b^6)=(a-b)(a^5+a^4b+a^3b^2+a^2b^3+ab^4+b^5)\)

Take a=y and b=2.

Answer:

(y - 2)(y + 2)(\(y^{4}\) + 4y + 16)

Step-by-step explanation:

\(y^{6}\) - 64 ← is a difference of cubes and factors in general as

a³ - b³ = (a - b)(a² + ab + b²) , then

\(y^{6}\) - 64

= (y² )³ - 4³

= (y² - 4)(\(y^{4}\) + 4y + 16) ← note y² - 4 is a difference of squares

= (y - 2)(y + 2)(\(y^{4}\) + 4y + 16)

Answer:

576

Step-by-step explanation:

Answer:

576

Step-by-step explanation:

24x24 equals 576

Answer:

D) y - 1 = x + 5

Step-by-step explanation:

(-5,1)

y - 1 = x + 5 ---> 1-1= -5-5

1-1= -5-5

 0=0

The equation y - 1 = x + 5 is the line that passes through the point (- 5, 1) and has a slope of 1.

Therefore,

y - 1 = x + 5

(-5,1)

y - 1 = x + 5 ---> 1 - 1 = -5 - 5

1 - 1 = -5 -5

0=0

Hence, The equation y - 1 = x + 5 is the line that passes through the point (- 5, 1) and has a slope of 1.

To learn more about slope, refer to:

brainly.com/question/16949303

#SPJ2

The jumper is in free fall for 7.07 s if the parachute is opens at 1000 ft

The jumper is in free fall for 7.29 s if the parachute is opens at 950 ft

The reasonable domain for the function h is

0 ≤ t ≤ 10

The reasonable range for the function h is

0 ≤ h ≤ 1800

The duration of free fall is calculated using the given function

h = -16t² + 1800

the parachute is opens at 1000 ft

h = -16t² + 1800

1000 = -16t² + 1800

16t² = 1800 - 1000

16t² = 800

t² = 800 / 16

t² = 50

t = √50

t = 7.07 s

the time at this situation is 7.07s

the parachute is opens at 950 ft

h = -16t² + 1800

950 = -16t² + 1800

16t² = 1800 - 950

16t² = 850

t² = 850 / 16

t² = 53.125

t = √53.125

t = 7.2887 s

the time at this situation is 7.29s

reasonable domain

minimum t = 0

for maximum t, h = -16t² + 1800 = 0

16t² = 1800

t = 10.61

0 ≤ t ≤ 10

the reasonable domain is 0 ≤ t ≤ 10

reasonable range

h = -16t² + 1800

at t = 0, h = 1800

at t = 10.606, h = 0

0 ≤ h ≤ 1800

the reasonable range is 0 ≤ h ≤ 1800

Learn more about quadratic functions at:

https://brainly.com/question/1214333

#SPJ1

Answer:

the slope is 8

Step-by-step explanation:

the slope is x not sure if its parallel of perpendicular but is i had to gues id guess parallel

Answer:

the slope is 8

the parallel slope is 8

the perpendicular slope is -1/8

Parameter, Because the data set οf all 50 gοvernοrs οf the United States is a pοpulatiοn.

A percentage is a ratiο, fractiοn, οr pοrtiοn οf a whοle which is represented as 100. The wοrd percent cοmes frοm the Latin phrase per centum which means "by the hundred" οr per οne hundred. Percentages can be represented with a numerical value fοllοwed by the percent symbοl (%).

In statistics, a parameter is a numerical value that describes a pοpulatiοn, while a statistic is a numerical value that describes a sample.

In the given statement, it is nοt clear if the value οf 18% is based οn the entire pοpulatiοn οf all gοvernοrs in the United States οr just a sample οf them.

If the statement is based οn the entire pοpulatiοn, then 18% wοuld be a parameter.

Hοwever, if the statement is based οn a sample οf the gοvernοrs, then 18% wοuld be a statistic.

Hence, Parameter, Because the data set οf all 50 gοvernοrs οf the United States is a pοpulatiοn.

To learn more about the percentage visit:

https://brainly.com/question/24877689

#SPJ1

Complete question:

Determine whether the underlined value is a parameter or a statistic.

Following the election, 18% of the governors of the 50 United States were female.

Is the value a parameter or a statistic?

Statistics

Parameter

The measure of the third angle in the ΔABC is 70 degrees

In ΔABC, m∠2 = 70 and m∠1 = 40, find the measure of all third angle of ΔABC.

The given parameters are:

m∠2 = 70

m∠1 = 40

The sum of angles in a triangle is:

m∠1 + m∠2 + m∠3 = 180

So, we have:

70 + 40 + m∠3 = 180

Subtract 110 from both sides

m∠3 = 70

Hence, the measure of the third angle in the ΔABC is 70 degrees

Read more about triangles at:

https://brainly.com/question/1675117

#SPJ1

Answer:

x=12

Step-by-step explanation:

\( - 2x - 12 = - 36\)

\( - 2x = - 36 + 12\)

\( - 2x = - 24\)

\(x = - 24 \div - 2\)

\(x = 12\)

Answer:

The answer is x=12

Step-by-step explanation:

-2(x+6)= -36

-2x+-12=-36

-2x+-12+12=-36+12

-2x=-24

Divide both sides by -2

-2x/2=-24/-2

x=12

Based on the given histogram, the data is skewed with a maximum range of 49.

This is because the frequency bars are not evenly distributed across the x-axis intervals, indicating that the data is not symmetric. The lack of a shaded bar for the 40 to 49 interval also suggests that there were fewer donations in that range compared to the other intervals.

One possible explanation for this skewness could be that the charity had suggested donation levels, with a minimum of $10, resulting in a large number of donations in the 10 to 19 interval. Additionally, the shaded bar stopping at 1 for the 30 to 39 and 50 to 59 intervals suggests that there were fewer donations in those ranges. This could be due to a variety of reasons, such as donors being more likely to give in the suggested $10 increments, or the charity's fundraising efforts being more effective at attracting donors in certain age or income brackets.

Overall, the histogram does not suggest a bimodal distribution, as there is not a clear separation between two distinct modes. The maximum range of 49 also indicates that there were no extreme outliers or large donations that would skew the data towards a higher range. Therefore, it is likely that the data represents a typical distribution of donations to a charity, with most donors giving smaller amounts and fewer donors giving larger amounts.

Learn more about histogram here:

https://brainly.com/question/30354484

#SPJ1

Answer:

y + 4 = 4/3(x - 6).

Step-by-step explanation:

The point-slope formula is shown below. We just need to find the slope.

(-4 - (-8)) / (6 - 3) = (-4 + 8) / 3 = 4 / 3

m = 4/3, y1 = -4, and x1 = 6.

y - (-4) = 4/3(x - 6)

y + 4 = 4/3(x - 6).

Hope this helps!

Answer:

42.15 as a decimal is 0.4215 and you can multiply 0.4215 by a number to get 42.15 percent of that number.

Step-by-step explanation:

So the answer is 0.4215

Hope this helps! =D

Answer:0.4215

Step-by-step explanation:

42.15%÷100=0.4215

The amount of Dividends of $3,000, $5,000, $34,500, and $71,000 were distributed to the 20,000 preferred and 25,000 common shareholders of Lightfoot Inc. over the first four years of operations.

To calculate the dividend per share of the preferred and common stock of Lightfoot Inc., the total amount of dividends paid out over the first four years must first be determined. This can be done by adding the given amounts of $3,000, $5,000, $34,500, and $71,000 to get a total of $113,500. To find the dividend per share for the preferred stock, the total dividend is divided by the number of shares (20,000) which gives a dividend per share of $5.68. To find the dividend per share for the common stock, the total dividend is divided by the number of shares (25,000) which gives a dividend per share of $4.54.

Learn more about amount here

https://brainly.com/question/8082054

#SPJ1

tan graph and its tax because tax=0

The equation of the circle with radius 9 and center ( -1,-8 ) is( x + 1 )² + ( y + 8  )² = 81.

The standard form equation of a circle with center (h, k) and radius r is:

( x - h )² + ( y - k )² = r²

Given that the circle has a center of (-1, -8) and the radius is 9.

Hence; from the standard form of the equation of the circle:

Center ( h , k ) = ( -1, -8 )

h = -1

k = -8

And radius r = 9

Plug these values into the above formula and simplify.

( x - h )² + ( y - k )² = r²

( x - ( -1 ) )² + ( y - ( -8 ) )² = 9²

Simplify

( x + 1 )² + ( y + 8  )² = 81

Therefore, the equation of the circle is ( x + 1 )² + ( y + 8  )² = 81.

Learn more about equation of circle here: brainly.com/question/29288238

#SPJ1

Answer:

-12

Step-by-step explanation:

(-3)4

-3*4

-12

Elaborate ur question about - 34

Answer:

what is 378÷2=

Step-by-step explanation:

and can you explain it for a 4th grader

Answer: true

Step-by-step explanation:

opposite angles are congruent

Answer:

True

Step-by-step explanation:

Vertical angles are always congruent, which means that they are equal. Angles a and c are vertical to each other just like how angles b and d are vertical to each other.

The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

Answer:

Step-by-step explanation:

It is easy to notice that:

As per triangle congruence theorem (two congruent sides and a right angle)

Since:

We have

QA = QB = QC = 3.25 + 9 = 12.25

Answer:

3.2 The Factor Theorem and The Remainder Theorem 257

3.2 The Factor Theorem and The Remainder Theorem

Suppose we wish to find the zeros of f(x) = x

3 + 4x

2 − 5x − 14. Setting f(x) = 0 results in the

polynomial equation x

3 + 4x

2 − 5x − 14 = 0. Despite all of the factoring techniques we learned1

in Intermediate Algebra, this equation foils2 us at every turn. If we graph f using the graphing

calculator, we get

The graph suggests that the function has three zeros, one of which is x = 2. It’s easy to show

that f(2) = 0, but the other two zeros seem to be less friendly. Even though we could use the

‘Zero’ command to find decimal approximations for these, we seek a method to find the remaining

zeros exactly. Based on our experience, if x = 2 is a zero, it seems that there should be a factor

of (x − 2) lurking around in the factorization of f(x). In other words, we should expect that

x

3 + 4x

2 − 5x − 14 = (x − 2) q(x), where q(x) is some other polynomial. How could we find such

a q(x), if it even exists? The answer comes from our old friend, polynomial division. Dividing

x

3 + 4x

2 − 5x − 14 by x − 2 gives

x

2 + 6x + 7

x−2 x

3 + 4x

2 − 5x − 14

−

x

3 −2x

2

6x

2 − 5x

−

6x

2 −12x)

7x − 14

− (7x −14)

0

As you may recall, this means x

3 + 4x

2 − 5x − 14 = (x − 2)

x

2 + 6x + 7

, so to find the zeros of f,

we now solve (x − 2)

x

2 + 6x + 7

= 0. We get x − 2 = 0 (which gives us our known zero, x = 2)

as well as x

2 + 6x + 7 = 0. The latter doesn’t factor nicely, so we apply the Quadratic Formula to

get x = −3 ±

√

2. The point of this section is to generalize the technique applied here. First up is

a friendly reminder of what we can expect when we divide polynomi

Step-by-step explanation:

Answer:

4(3n + 2)

Step-by-step explanation:

as we know perimeter of a square is 4 x side

one side is 3n + 2

4 sides = 4(3n +2)

Answer:

This is the best i got

Step-by-step explanation:

Answer:

Step-by-step explanation:

Median - The middle number in a set a data

First, you need to list the numbers least, on the left, to greatest, on the right.

3, 3, 4, 5, 5, 5, 6, 8, 8

Once you have done this, you can follow these steps.

Cross off the lowest number. Cross off the highest number. Repeat until there is one or two numbers left.

3, 4, 5, 5, 5, 6, 8

4, 5, 5, 5, 6

5, 5, 5

5

Since there is one number left, that is the median. In case of there being two numbers left, you add them together. Then divide by 2 and that would be your median

Answer:

\(\Large \boxed{\sf 5}\)

Step-by-step explanation:

Data set is 3, 3, 4, 5, 5, 5, 6, 8, 8

Median is the middle value in a data set

The center of mass for the system (x, y) is \(\left(\frac{a m+b M}{m+M}, 0\right)\).

What is center of mass?

The unique location where the weighted relative position of the scattered mass adds to zero is known as the center of mass in physics. Here is where a force may be applied to produce a linear acceleration without also producing an angular acceleration.

The center of mass is a position defined relative to an object or system of objects. It is the average position of all the parts of the system, weighted according to their masses.

Centre of mass is

\(x=\frac{m a+M b}{m+M}\)

and y=0

\((x, y)=\left(\frac{a m+b M}{m+M}, 0\right)\)

To learn more about center of mass visit:https://brainly.com/question/28996108

#SPJ4

Answer:

\(y=\frac{-7}{2}x+3\)

Step-by-step explanation:

This is currently in standard form, so get it into slope-intercept form instead:

Subtract '7x' from both sides:

\(2y=-7x+6\)

Divide by 2 on both sides to isolate the 'y':

\(y=\frac{-7}{2}x+3\).

Answer: 882.96

Step-by-step explanation:

The product of -16.98 and 5.2 is -88.296.

The given expression is -16.98 multiplied by 5.2. To find the product, multiply the two numbers:

-16.98 * 5.2 = -88.296.

Therefore, the product of -16.98 and 5.2 is -88.296. The correct answer is -88.296, which matches the second option. When multiplying a negative number by a positive number, the result is negative. The calculation involves multiplying the absolute values (16.98 and 5.2) and then assigning the negative sign to the product. In this case, the product is -88.296, as it accurately represents the multiplication of -16.98 and 5.2.

To know more about product:

https://brainly.com/question/30284183

#SPJ3