u - 9.7 < -8.8 Solve the inequality for u.
Simplify your answer as much as possible.

The quadrilateral is a parallelogram so it is Yes.

If a quadrilateral has a pair of parallel opposite sides, it’s a special polygon called parallelogram .The properties of a parallelogram are as follows:

The opposite sides are parallel and equal

The opposite angles are equal

The consecutive or adjacent angles are supplementary

If any one of the angles is a right angle, then all the other angles will be at right angle.

The quadrilateral is a parallelogram since the adjacent interior angles 75° and 105° are supplementary meaning they sum up to 180°

In conclusion, yes, the figure is a parallelogram.

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The length of the diagonal is between 4 and 5.

What is square root of a number?

A square root of a number is a value that multiplied by itself gives the same number.

Given that;

The length of the diagonal = √18

Now,

Since, The length of the diagonal = √18

And,  √18 = 4.24

Thus, The number 4.24 is lies between two whole numbers 4 and 5 as;

⇒ 4 < 4.24 < 5

⇒ 4 < √18 < 5

⇒ √16 < √18 < √25

Thus, The length of the diagonal is between 4 and 5.

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We are given the following:

[tex]8-3(1-x)=2(x+1)-3[/tex]

To solve for x, simplify both sides of the equation, then isolate the variable.

Hope this helps!

The three fractions between 4/5 and 4/6 are 49/30, 73/30 and 69/30

A fraction represents a part of a whole.

We need to find fractions between 4/5 and 4/6

LCD is 30

4×6/30 + 5×5/30

24/30 + 25/30 = 49/30

The fraction between 4/5 and 49/30

4/5+49/30

LCD of 5 and 30

24+49/30

73/30

The fraction between 49/30 and 4/6

49/30+4/6

49+20/30

69/30

Hence the three fractions between 4/5 and 4/6 are 49/30, 73/30 and 69/30

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The answer to the expositional growing account will be $14838.

What is exponential function?

The mathematical formula for an exponential function is f (x) = ax, where x is a variable and a constant known as the base of the function, which must be greater than zero. The transcendental number, or e, which is roughly equivalent to 2.71828, is the most frequently used exponential function base.

Let suppose in the xth year, the value of the money is 6300* [tex]a^{4}[/tex]

⇒8200 = 6300* [tex]a^{4}[/tex]

⇒a = 1.068

So 6300 *[tex]a^{13}[/tex]

= $14838

Hence the value of the account will be $14838.

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The individual error rate needs to be for each of those 5 comparisons is Option B which is 0.01.

Individual error rate = α/m = 0.05/5 = 0.01

The individual error rate is the most extreme likelihood that at least one correlation will inaccurately infer that the noticed contrast is essentially unique in relation to the invalid speculation.

Individual error rates are careful in all cases. Family error rates are careful with equivalent gathering sizes. Assuming that gathering sizes are inconsistent, the true family error rate for Tukey, Fisher, and MCB will be somewhat more modest than expressed, bringing about moderate certainty spans. The Dunnett family error rates are careful with inconsistent example sizes.

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Answer:

35

Step-by-step explanation:

I did 1/5 into a decimal which is 0.2 and then i did 7/0.2 because 7 miles and 0.2 miles they stop and then you divide them and get 35

The standard equation for the circle with center (14,-48) and radius of 50

is [tex](x-14)^{2} +(y+48)^{2} =2500[/tex]

Standard form: [tex](x-h)^{2} +(y-k)^{2} =r^{2}[/tex]

Given, h =14, k = -48 and r = 50

therefore, The standard equation for the circle with center (14,-48) and radius of 50

is [tex](x-14)^{2} +(y+48)^{2} =2500[/tex]

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Answer:

Girls

Step-by-step explanation:

out of children there are 15 girl therefore percentage of girl = 15 x 100 =60

25

there are 60% girls in class

The cost of a swim club membership for a year is $170. The price consists of 12 monthly payments of $20 and a $20 registration fee. From equation, the mth payment is $12.5 per month.

Finding the value m of each monthly payment can be done using the equation 12m+20=170.

To find the amount(m), solve the equation 12m+20=170.

12m=150

M = 150/12

M= $12.5

Consequently, each monthly payment will cost 12.5 in total.

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The zeros of the function R(x) will be 0 , 4 , -4 , -5.

The equation given to us is

[tex]x^{4}[/tex] + 5[tex]x^{3}[/tex] - 16[tex]x^{2}[/tex] - 80x = 0

Take x common

x( [tex]x^{3}[/tex] + 5[tex]x^{2}[/tex] - 16x - 80 ) = 0

from here we get one factor of x as 0.

Now

[tex]x^{3}[/tex] + 5[tex]x^{2}[/tex] - 16x - 80 = 0

It is given that  x + 5) is a factor of this equation. so we will divide the equation by (x + 5).

After dividing it by (x + 5) we get [tex]x^{2}[/tex] - 16

Which can be written as [tex]x^{2}[/tex] - [tex]4^{2}[/tex] = (x + 4) (x - 4)

From here we get rest of the two roots of the equation.

Therefore four zeros of the function will be 0 , 4 , -4 , -5.

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Answer:

D)  0, 4, -4, -5

Step-by-step explanation:

Given polynomial:

[tex]R(x)=x^4+5x^3-16x^2-80x[/tex]

Given (x + 5) is a factor of R(x), use long division to find the other factor:

[tex]\large \begin{array}{r}x^3-16x\phantom{)}\\x+5{\overline{\smash{\big)}\,x^4+5x^3-16x^2-80x\phantom{)}}}\\{-~\phantom{(}\underline{(x^4+5x^3)\phantom{-b))))))))))))}}\\-16x^2-80x\phantom{)}\\-~\phantom{()}\underline{(-16x^2-80x)\phantom{}}\\0\phantom{)}\\\end{array}[/tex]

Therefore:

[tex]R(x)=(x^3-16x)(x+5)[/tex]

Factor out x from the first factor:

[tex]R(x)=x(x^2-16)(x+5)[/tex]

Apply the Difference of Two Square Formula: a²-b²=(a-b)(a+b)

[tex]\begin{aligned}\implies x^2-16&=x^2-4^2\\&=(x-4)(x+4)\end{aligned}[/tex]

Therefore:

[tex]R(x)=x(x-4)(x+4)(x+5)[/tex]

Zero Product Property

If a ⋅ b = 0 then either a = 0 or b = 0 (or both).

To find the zeros of the function, apply the zero-product property by setting each factor equal to zero and solving for x:

[tex]\implies x=0[/tex]

[tex]\implies x-4=0 \implies x=4[/tex]

[tex]\implies x+4=0 \implies x=-4[/tex]

[tex]\implies x+5=0 \implies x=-5[/tex]

Therefore, the zeros of the function R(x) are:

The mathematical instructions that define lines, curves, text, ovals, and other geometric shapes is vector graphics

The vector graphics is defined as the computer graphics that the  visual images are created directly from geometric shapes. It is defined on the Cartesian plane such as lines, curves, texts, ovals and other geometric shapes

The vector artworks are the artwork that created by vector graphics. There will be lines curves, text, oval and other geometric shapes according to the mathematical expression

Therefore, the vector graphics is the mathematical instruction that defines the geometric shapes

Hence, the mathematical instructions that define lines, curves, text, ovals, and other geometric shapes is vector graphics

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By using angles properties (sum of interior angles of a triangle and so) we will see that the measure of angle x is 120°.

Let's define C as the angle inside the triangle that is adjacent to angle x.

We can see that these two are supplementary angles, then we know that:

C + x = 180°.

We also can see that C is an interior angle of a triangle, and remember that the sum of all interior angles of a triangle is equal to 180°, then we can write

68° + 52° + C = 180°

With that equation, we can find the value of C.

C = 180° - 52° - 68° = 60°

Then.

x + C = 180°

x + 60° = 180°

x = 180° - 60° = 120°

That is the measure of angle x.

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The value of the expression is 698.

What is an expression?

A mathematical expression is a phrase containing a minimum of two numbers or variables and a minimum of one mathematical operation. It is possible to multiply, divide, add, or subtract in math. An expression has the following structure: (Mathematical Operator, Number/Variable, Expression)

The order of operations is a rule that specifies the right procedure to follow when evaluating a mathematical equation. Using the acronym PEMDAS, we can memorize this order: parentheses, exponents, multiplication, and division (left to right), addition and subtraction (from left to right).

Given expression 3*(14+c²) +2d

3*(14+12²)+2*112

= 42+3*12²+224

= 42+3*144+224

= 42+432+224

= 698

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Answer: 69/11

Step-by-step explanation:

-69/-11=

-69*(-1)/(-11*(-1))=

69/11

The point (2,3) translated 2 units to the right is (4,3)

Rotated 90 degrees clockwise around the origin becomes (3,-4)

Then (2,3) is translated 2 units to the right and rotated 90 degrees counterclockwise to become (3,-2). (5,-2)

One of two numbers and/or letters indicating a point's precise location on a map or graph: Zoom in on the map after entering the GPS coordinates.

In two dimensions, points are represented as coordinates (x, y) with respect to the x- and y-axes. An object's x-coordinate, also referred to as the abscissa, is its perpendicular distance from the y-axis as measured along the x-axis.

The domain refers to the first coordinate, which is typically the x-coordinate, and the range refers to the second coordinate, which is typically the y-coordinate.

You do the opposite to determine a point's coordinates in a coordinate system. Starting at the point, move vertically up or down until you reach the x-axis.

The complete question is : The point (2, 3), translated 2 units to the right, becomes (___, ____), then rotated

90° clockwise around the origin it becomes (___, ____). The point (2, 3) rotated

90° clockwise around the origin becomes (____, ____), then translated 2 units to the right it becomes (___,____), which is not the same.

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Dave will need 8 boxes, out of which 7 will be completely full and 2 sweaters will be kept in eighth box.

Number of boxes required for 23 sweaters = total number of sweaters ÷ number of sweaters in each box

Keep the values in above mentioned formula to find the number of boxes required for 23 sweaters.

Number of boxes required for 23 sweaters = 23 ÷ 3

On performing division, we get 7 as quotient and 2 as remainder. This indicates that 7 boxes will be accomodate the sweaters and 2 indicates the remaining sweaters.

Thus, there will be need of 8 boxes in total.

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The correct option regarding Sara's and Sam's position between 40 minutes and 80 minutes is given as follows:

C. Were not moving since there was not a change in position.

The graph is given by the image shown at the end of the answer, and the relation graphed is defined as follows:

Distance x Time.

Hence the input and the output variables are given as follows:

Between 40 minutes and 80 minutes, which is a symmetric period around the time of one hour, the graph is constant.

The constant graph means that the position was not changed, that is, they were not moving, hence the correct statement is given by option C.

The problem is given by the image shown at the end of the answer.

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Answer: 60

Step-by-step explanation:

first multiply like terms,

-4 x -5 = 20 [Multiplying two negative signs equal to positive]

3 x 20= 60

The maximum possible number of elements in B = 68.

A subset B of the set of integers from 1 to 100, inclusive, has the property that no two elements of B sum to 137.

Maximum possible number of elements in B =?

Set of integers = {1, 2, 3, 4, 5......100}

If we divide 137/2 = 68.5

If we add 68+69 = 137

So, we cannot consider number 69 in the subset, it gives us the total numbers we can consider are till 68.

Set B = {1,2,3,4,5,6,7....60,61,68}.

The maximum possible number of elements in B = 68.

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The slope of the line that goes through these two points is -19/13.

Given points:

(–6, −3), (–19, 16)

slope:

Slope is the steepness of a line as it moves from LEFT to RIGHT. Slope is the ratio of the rise, the vertical change, to the run, the horizontal change of a line. The slope of a line is always constant (it never changes) no matter what 2 points on the line you choose.

slope m = y2-y1 / x2-x1

= 16-(-3) / -19-(-6)

= 16+3/-19+6

= 19/-13

= -19/13

Therefore The slope of the line that goes through these two points is -19/13.

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Answer:

A new bank customer with

P = $ 5000

The bank is offering a simple interes rate

r = 1.9%

a) how much interes will the customer earn in 10 years

A = P(1 + rt)

t = 10 years

Calculation:

First, converting R percent to r a decimal

r = R/100 = 1.9%/100 = 0.019 per year.

Solving our equation:

A = 5000(1 + (0.019 × 10)) = 5950

A = $5,950.00

I = A - P = $950.00

b) After 10 years the account balance will be

The total amount accrued, principal plus interest, from simple interest on a principal of $5,000.00 at a rate of 1.9% per year for 10 years is $5,950.00.

Step-by-step explanation:

A group of friends were working on a student film. The money did they spend on props is $495.

percentage :

budget of group working on a student film = $1100

They used percentage of their budget on props. = 45%

then money spend on props is calculated as :

= 45% of 1100

= (45/100) x 1100

= 45 x 11

= $495

A group of friends were working on a student film. The money did they spend on props is $495.

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Answer:

12

Step-by-step explanation:

You could think of ratios as fractions :

Whatever we do to the top we must do to the bottom to keep it equivalent .

If we multiply the first thing by something we must do the multiply by the same number to the second.

2 × m = 8

m = 4

3 × m = ?

m = 4

3 × 4 = 12

? = 12

So the number that makes the ratio equivalent is 12

2:3 = 8:12

Hope this helped and have a good day

After 1st Translation  (x,y) → (x-6.y) = X(-4,4), Y(0,0), Z(1,2)

After 2nd Translation (x, y) → (x+2y+7) = X(4,11), Y(8,7), Z(9,9)

What is translation?

And image After Composition means resultant image after you plot the translated points.

So, Given Vertices are X(2,4), Y(6,0), Z(7,2)

Then after 1st Translation = X(-4,4), Y(0,0), Z(1,2)

After 2nd Translation = X(4,11), Y(8,7), Z(9,9)

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Answer:

17x^2-5x-17

Step-by-step explanation:

(8x^2-6x-8)-(-9x^2-x+9)

8x^2-6x-8+9x^2+x-9

17x^2-5x-17

Answer:

+1

Step-by-step explanation:

So, you just first multiply the denominator to whole then add to the numerator after that the denominator will remain the same and the numerator will be the remainder

Answer:

[tex]20[/tex]

Explanation:

[tex]5[/tex] ÷ [tex]\frac{1}{4}[/tex]

To change the division sign into a multiplication sign, you need to change (1/4) into its reciprocal.

[tex]5[/tex] × [tex]\frac{4}{1}[/tex]

[tex]5[/tex] × [tex]4[/tex]

[tex]20[/tex]