The width of a rectangle is the length minus 2 units. The area of the rectangle is 8 square units. What is the length, in units, of the rectangle?

The value should be added will be [tex]y = -4x^{2} +9x+6[/tex]

Now, According to the question:

Let the value y be added to  [tex]7x^2-5x+1[/tex] to give [tex]3x^2+4x+7[/tex]

y =  [tex]3x^2+4x+7[/tex] - ( [tex]7x^2-5x+1[/tex])

y = [tex]3x^{2} +4x+7-7x^{2} +5x-1[/tex]

Combine like terms:

y = [tex]3x^{2} -7x^{2} +4x+5x+7-1[/tex]

Calculate the subtraction and addition.

[tex]y = -4x^{2} +9x+6[/tex]

Hence, The value should be added will be [tex]y = -4x^{2} +9x+6[/tex].

Learn more about Addition at:

https://brainly.com/question/24289893

#SPJ4

The complete question is this:

What should be added to  [tex]7x^2-5x+1[/tex] to get [tex]3x^2+4x+7[/tex] ?

An effective sampling method is not cast doubt on the usefulness of the sample

The effective sample is a calculation of the approximate sample size needed to obtain the same degree of accuracy as a simple random sample. It is denoted mathematically by the formula n/D, where n represents the sample size and D denotes the design effect. It is employed as a means of condensing the volume of data.

Effective sample size calculations are mostly used for qualitative analyses of the sample size. The sample size calculates the total number of measurements or observations made during an experiment or survey. The effective sample size—rather than the actual sample size—is utilized in this assessment since it is thought that a sample size of 30 is necessary for an analysis to be valid.

To know more samples at:

https://brainly.com/question/27829028

#SPJ4

Answer:

The area of a triangle can be calculated using the formula A = 1/2 * b * h, where b is the base and h is the height of the triangle. In this case, if the base of the triangle is H units and the height is 7 units, the area of the triangle would be A = 1/2 * H * 7 = 3.5 * H.

Step-by-step explanation:

There are various classifications of angles, some of which include: Acute angles, Right angles, Obtuse angles, Straight angles, Reflex angles,  Complementary angles, Supplementary angles, Adjacent angles, Linear pair, Vertically opposite angles, Alternate interior angles, Alternate exterior angles, Corresponding angles, Conjugate angles, and Explementary angles.

It's important to note that this is not an exhaustive list and the classification may vary depending on the context.

Acute angles which measure less than 90 degrees, Right angles that measure exactly 90 degrees, Obtuse angles that measure more than 90 degrees but less than 180 degrees.

There is also Straight angles that measure exactly 180 degrees, Reflex angles that measure more than 180 degrees but less than 360 degrees, Complementary angles which add up to 90 degrees, Supplementary angles which add up to 180 degrees.

Then there is Adjacent angles that share a common vertex and a common side but no common interior points, Linear pair which add up to 180 degrees and share a common side, Vertically opposite angles that are formed by two intersecting lines and are opposite to each other, Alternate interior angles that are formed by two intersecting lines on opposite sides of a transversal and inside parallel lines, Alternate exterior angles that are formed by two intersecting lines on opposite sides of a transversal and outside parallel lines, Corresponding angles that are formed by two intersecting lines in the same relative position.

Conjugate angles are angles which are supplementary but non-adjacent, and Explementary angles are angles which add up to 90 degrees.

To know more on angles

https://brainly.com/question/19247815

#SPJ4

The measurements are found using congruency.

What does congruency mean?

Congruent refers to things that are exactly the same size and shape. Even if we flip, turn, or rotate the forms, the shape and size should remain the same.

It is given that ABCD ≅ EFGH :

According to congruency,

22. AD = EH, so AD = 335 ft.

23. GH= CD, so GH = 45ft.

24. m∠GHE = m∠CDA, so m∠GHE= 52°

25. m∠BAD= m∠FEH, so m∠BAD= 52°

26. EF= AB, so EF= 45ft

27. BC= FG, so BC= 280ft

28. m∠DCB= m∠HGF, so m∠DCB= 128°

29. m∠EFG= m∠ABC, so m∠EFG= 128°

To learn more about congruency, refer to the link below:

brainly.com/question/30094441

#SPJ1

The equation to find the original price of the charging chord is 0.15x + 0.15y = 4.20 and the original price of the charging cord is $10.

Let the price of the phone case is x.

And the price of the charging cord is y.

Discounted price for phone case:  15% of x = 0.15x

Discounted price for charging cord = 0.15y

Now, according to the question, the total discount is $4. 20

⇒0.15x + 0.15y = 4.20

⇒0.15 * 18 + 0.15y = 4.20

⇒2.7 + 0.15y = 4.20

⇒0.15y = 4.2 - 2.7

⇒y = 1.5/0.15

⇒y = $10

Therefore the equation to find the original price of the cord is 0.15x + 0.15y = 4.20 and the original price of the charging cord is $10.

To know more about original price, here

https://brainly.com/question/731526

#SPJ4

After distribution of the negative sing in the parenthesis, the equivalent expression is 10.7p - 4.6

The expression that is given to us is -(-10p - 0. 7q) – 4. 6.

Now, we know that the meaning of equivalent expression is the it has the same value as that of the original expression.

We have to use the "-" and distribute it over the expression to form an equivalent relation,

So, we know,

-(-10p - 0.7q) – 4.6

Here, p is a constant,

Multiplying the negative sign inside of the bracket,

= (-(-10p)-(-0.7p)-4.6

= 10p + 0.7p - 4.6

= 10.7p - 4.6

So, the equivalent expression is 10.7p - 4.6.

To know more about mathematical expressions, visit,

https://brainly.com/question/1859113

#SPJ4

Answer: 66.70

Step-by-step explanation:

8 2/25 times 16 2/3 then divide by 2 and you get 66.70 will be blue  

Answer:0.23

Step-by-step explanation:

Answer:

Step-by-step explanation:

You want the cost of each item when person A buys 10 granola bars and 6 cups of yogurt for $18, and person B buys 5 granola bars and 4 cups of yogurt for $9.50.

The equations describing the relations can be written ...

  10g +6y = 18 . . . . . . . person A's purchase

  5g +4y = 9.50 . . . . . . person B's purchase

Subtracting half of the first equation from the second, we find ...

  (5g +4y) -1/2(10g +6y) = (9.50) -1/2(18)

  y = 0.50 . . . . . . . . . . simplify

Substituting this into the first equation gives ...

  10g +6(0.50) = 18

  10g = 15 . . . . . . . . . . subtract 3

  g = 1.50 . . . . . . . . . divide by 10

Each granola bar costs $1.50; each cup of yogurt costs $0.50.

__

Additional comment

The attachment shows the solution found using a calculator to find the reduced row-echelon form of the augmented coefficient matrix. The variable values are in the right column of the reduced matrix. This tells us granola bars are $1.50, and yogurt cups are $0.50, as we found above.

The Volume of largest Right Circular Cylinder that can be inscribed in Sphere of radius 3 cm is 65.3 cm³  .

Let the half height of of the cylinder be = h ;

we use h instead of [tex]\frac{h}{2}[/tex] for easier simplification ,

In order to find the Volume of cylinder , we multiply the area of  top with the total height of cylinder .

So , Volume = [tex]\pi \times (Radius Of Cylinder)^{2}\times (Height Of Cylinder)[/tex]

Volume = [tex]\pi \times (\sqrt{r^{2} -h^{2} } )^{2}\times (2h)[/tex];

Volume [tex]= 2\pi h(r^{2} -h^{2} )[/tex]

Now ,  we need the derivative of volume function and equate to 0. If we move the h inside parenthesis, we only need to use power rule to get  derivative.

So , we get , V = [tex]2\pi (r^{2} h-h^{3} )[/tex] ,

On simplifying further ,

we have ,

Volume of Largest Right Circular Cylinder  ⇒ [tex]\frac{4\sqrt{3} \pi r^{3} }{9}[/tex] ;

it is given that radius of sphere is = 3 cm ,

Substituting value of radius in Volume formula ,

we get ,

V =  [tex]\frac{4\sqrt{3} \times 3.14\times 3^{3} }{9}[/tex] ;

V = 65.2636 cm³

V ≈ 65.3 cm³.

Therefore , the volume of the largest right circular cylinder is 65.3 cm³.

Learn more about Volume here

https://brainly.com/question/29235668

#SPJ4

F:4+4=8

A:23+8+4=35

H:53+3+28=84

I:11+17+93=121

I:24+8+3=35

I think that is all correct

Answer:

if u feel like u find the value that is correct but if u didn't find it it can be 1 the power of x can be 1

Answer:

B.9

all done  hope it help

Answer:

2, cause it shows a different function or pattern

The arithmetical symbols in between these numbers make the total 1 gross will be 6 + 6 - 6 - 6 + 6 / 6.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Place the arithmetic symbol between the 6 times 6 to become one. Then we have

⇒ 6 + 6 - 6 - 6 + 6 / 6

⇒ 1

The arithmetical symbols in between these numbers make the total 1 gross will be 6 + 6 - 6 - 6 + 6 / 6.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ1

In the spring of 2012, 2300 student athletes participated in a sport.

The value must be divided by the entire value, and the resulting number must then be multiplied by 100 to get the percentage.

In 2014, there were 2277 student athletes participating in spring sports.

Suppose there were x contestants in 2013.

The answer was 2277, which was 110 percent more pupils competing in 2014 than in 2013. So,

[tex]$110 \%$ of $\mathrm{x}=2277$$\frac{110}{100} \times \mathrm{x}=2277$$\mathrm{x}=\frac{2277 \times 100}{110}$$\mathrm{x}=2070$[/tex]

2070 pupils therefore competed in 2013.

Let y be the student who will be vying in 2012.

Now, the number of pupils competing in 2070 was 90% that of the year 2012's.

So,

[tex]$90 \%$ of $y=2070$$$\begin{aligned}& \frac{90}{100} \times y=2070 \\& y=\frac{2070 \times 100}{90} \\& y=2300\end{aligned}$$[/tex]

As a result, 2300 students competed in the 2012 competition.

Therefore, the answer is 2300.

To learn more about percentage refer to:

https://brainly.com/question/24877689

#SPJ4

No, Misha is not correct in her statement that the equation will be positive.

A line's steepness may be determined by looking at its slope. Slope is computed mathematically as "rise over run" (change in y divided by change in x).

An ordered pair in mathematics is a set of two things. The order of the objects in the pair matters because, unless a = b, the ordered pair differs from the ordered pair. Ordered pairs are also known as 2-tuples, or 2-length sequences.

No, Misha is not correct. The slope-intercept form of the equation of a line is y = mx + b, where m is the slope and b is the y-intercept. A line can cross the x-axis before it crosses the y-axis, and the values of m and b in its equation can still be either positive, negative or zero.

For example, a line with the equation y = -2x + 1 will cross the x-axis at x = 1/2 and y-axis at (0,1) , so it crosses x-axis first but both m and b have negative values (-2 and 1 respectively).

Know more about slope by visiting:

https://brainly.com/question/3605446

#SPJ1

Yes, the lines intersect at the point (5, -2) so it is the solution to the system.

Now, According to the question:

Let's know:

Solution to a System of Linear Equations:-

A system of linear equations consists of the equations of two lines. The solution to a system of linear equations is the point which lies on both lines. In other words, the solution is the point where the two lines intersect. To verify whether a point is a solution to a system or not, we will either determine whether it is the point of intersection of two lines on a graph or we will determine whether or not the point lies on both lines algebraically.

Let's determine whether the given points are a solution to the systems of equations below.

Is the point (5, -2) the solution of the system of linear equations shown in the graph below?

Yes, the lines intersect at the point (5, -2) so it is the solution to the system.

Learn more about Linear Equation at:

https://brainly.com/question/11897796

#SPJ4  

100 terabytes of data must be used in order for Charles' internet bill to equal Wilma's internet cost.

Assume that there are x gigabytes of data.

The equation for Charles is y = 0.25x since he pays $0.25 for each gigabyte of data.

The calculation for Wilma is y = 0.05x + 20 because she pays a flat rate of $20 and $0.05 per gigabyte.

Charles must pay the same amount for internet service as Wilma, so;

0.25x = 0.05x + 20

0.2x = 20

x = 20/0.2

x = 100

Hence, 100 terabytes of data must be used in order for Charles' internet bill to equal Wilma's internet cost.

learn more about equation intercepts at:

brainly.com/question/26249361

#SPJ4

Answer:

Step-by-step explain

We know that the campsite is 65 miles north of her town.

There are 63,360 inches in a mile

so, if you multiply it would look like

63,360 x 65 = 4,118,400

so, your answer would be 4,118,400 inches

The number of apples that he has left will be 2 apples.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

If jimmy buys 5 apples and gets 3 apples eaten alive by him.

Then the number of apples that he has left will be given by subtracting 3 from 5. Then the expression is given as,

⇒ 5 - 3

⇒ 2

The number of apples that he has left will be 2 apples.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ1

The complete question is given below.

If jimmy buys 5 apples and gets 3 apples eaten alive by him. How many apples does he have left?

Step-by-step explanation:

bhshshssf just use some time and fouries and fouries and I don't have a car but who wants the French

Therefore , the solution of the given problem of arithmetic mean comes out to be a(30) = 265.

When all of the values in a set of data have the same unit of measurement, such as when all of the numbers are heights, miles, hours, etc., this technique is utilized. Take the numbers 4, 7, 9, and 10 as an illustration. The count of numerals is 4, and the sum of the numbers is 30. 30 divided by 4 equals 7.5, which is the numbers' arithmetic mean.

Here,

Given that there is a common difference between each word, this is an arithmetic sequence. In this instance, the following term is obtained by adding 9 to the phrase before it in the sequence.

Alternatively put,

=> an=a1+d(n−1)

.Arithmetic Sequence:

d=9

This is the formula of an arithmetic sequence.

=>an=a1+d(n−1)

Substitute in the values of

=> a1 =4 and

d=9

.=>an=4+9(n−1)

Simplify each term.

Tap for more steps...

an=4+9n−9

Subtract 9 from 4

an=9n−5

Thus 30th term :

=> a(30)=9(30)−5

=> a(30) = 265

Therefore , the solution of the given problem of arithmetic mean comes out to be a(30) = 265.

To know more about arithmetic mean , visit

https://brainly.com/question/13000783

#SPJ1

The coordinates of the center of the circle and the radius length of the specified circle are (-3,2) and 6 units, respectively.

A circle is a shape formed by all points in a plane that are at a particular distance from the center. It is the curve sketched out by a point moving in a plane so that its distance from a particular point remains constant. A circle is a closed two-dimensional object in which the set of all the points in the plane is equidistant from a particular point called "centre". The line of reflection symmetry is formed by every line that travels through the circle. It also features rotational symmetry around the center for all angles.

Here,

x²+6x+9-9+y²-4y+4-4=23

(x+3)²-9+(y-2)²-4=23

(x+3)²+(y-2)²=36

(x+3)²+(y-2)²=6²

center=(-3,2)

radius=6

The coordinates of the center of the center and the length of the radius of the given circle is (-3,2) and 6 units.

To know more about circle,

https://brainly.com/question/26533660

#SPJ4

Answer:

24 + x + 24

X is 0

Answer: substract 24 from both sides

then x = 0

Step-by-step explanation:

Answer:

The value of t is 19.04

Step-by-step explanation:

[tex]7e^{0.1t} = 47\\[/tex]

[tex]e^{0.1t} = \frac{47}{7}[/tex]

take log both sides :

[tex]ln(e^{0.1t}) = ln(\frac{47}{7}) \\0.1t = 1.9042\\t = \frac{1.9042}{0.1}\\t = 19.04[/tex]

Answer: For the linear relationship in A, the y-intercept is the point where the line crosses the y-axis. This point represents the starting balance on Ailee's gift card before she makes any purchases.

The y-intercept of this linear relationship is the point (0, 20), which represents the fact that Ailee's gift card has a starting balance of $20 before she makes any purchases.

For the linear relationship in B, the y-intercept is the point where the line crosses the y-axis. This point represents Duncan's starting elevation before he begins to hike.

The y-intercept of this linear relationship is the point (0, 1000), which represents the fact that Duncan starts his hike at an elevation of 1000 feet.

Step-by-step explanation:

The probability that Andre, Olivia, and zack all win gift cards that are at least $25 is 1/4. Hence option C is the correct option.

What is an event?

An event is a collection of experiment results (a subset of the sample space) to which a probability is ascribed in probability theory.

The wheel consists of 8 equal sections. Each section contains the price of a gift card. 4 sections contain a $5 gift card, 2 sections contain a $5 gift card, one section contains a $25 gift card, one section contains a $50 gift card.

To win at least $5, they have to get either $25 or $50.

Thus the number of outcomes of favorable event is 2.

Total number of outcomes is 8.

The probability to win at least $25 is 2/8

Divide denominator and numerator by 2:

2/8 = 1/4

To learn more about probability, click on the below link:

https://brainly.com/question/743479

#SPJ4