Polly's sister-in-law is going to have a baby! For the baby shower, Polly decided to sew pillow to give as a gift. She is using a flower-printed rectangular piece of fabric that is 26 inches long and 22 inches wide.​

Answer:

8.345

Step-by-step explanation:

(8.34+8.35)/2 = 16.69/2

= 8.345

Answer:-2,-5

Step-by-step explanation:

7-4=3

You move 3 units up

You land on -2, -2

the higher units you move up, the higher the number gets to.

A graph is made up of vertices, or points, and edges, or lines connecting those vertices.

Graphs come in a wide variety of forms in discrete mathematics.

These are a few of them:

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The correct question is-

what are the different types of graph.

Answer:

32

Step-by-step explanation:

1. Answer (a) Positive. The leading coefficient of the polynomial on the right is positive.

Answer (b) 3, the highest power of the variable is 3, so the minimum degree of the polynomial is 3.

2. Answer (a) 2, Answer (b) 1

3. Answer (a) 3, Answer (b) 1 and 5

A polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables. Polynomials can have constants and variables, and they usually have multiple terms that are separated by addition or subtraction.

1. The leading coefficient of a polynomial is the coefficient of the highest degree term. In the graph, the highest degree term is x3, and it is positive. Therefore, the leading coefficient of the polynomial on the right is positive.

The degree of a polynomial is the highest power of the variable in the equation. In the graph, the highest power of the variable is 3, so the minimum degree of the polynomial is 3.

2. The number of real zeros of a polynomial is the number of times the polynomial crosses the x-axis. In the graph, the polynomial crosses the x-axis twice, so it has 2 real zeros.

The number of imaginary zeros of a polynomial is the number of times the polynomial bounces off the x-axis. In the graph, the polynomial bounces off the x-axis once, so it has 1 imaginary zero.

3. The polynomial p(x) bounces off the x-axis at x=3 because the polynomial changes direction at this point.

The polynomial p(x) crosses the x-axis at x=1 and x=5 because the polynomial intersects the x-axis at these points.

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The triangle that would not represent the three sides of a triangles is: {9, 21, 32}

We can determine this through the use of the triangle rule. The rule tells us that the sum of the two sides of the triangle have to be greater than that of the other side.

With this in mind, we have that for each of this

14 + 24 > 37

15 + 30 > 43

9 + 21 < 32

10 + 19 > 26

Hence the third option does not fulfill the rule

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Answer:

Step-by-step explanation:

In math, slope is used to describe the steepness and direction of lines. ... You can determine the slope of a line from its graph

If her hοuse actually 56 feet wide, then scale οf her drawing is scale = 56 feet / (drawing width)

The slοpe is a mathematical cοncept that refers tο the steepness οf a line. It is cοmmοnly denοted by the letter "m" and can be calculated using the fοrmula:      

slοpe (m) = (change in y) / (change in x)

Withοut having the actual measurements οf the drawing, we cannοt determine the scale.

Tο find the scale οf a drawing, yοu need tο knοw the actual measurements οf the οbject being drawn as well as the cοrrespοnding measurements in the drawing. Fοr example, if yοu knοw that the actual width οf Rοse's hοuse is 56 feet and the width οf the hοuse in the drawing is 8 inches, yοu can determine the scale by using the fοllοwing fοrmula:

scale = actual width/drawing width

Using this fοrmula with the given infοrmatiοn, we get:

scale = 56 feet / (drawing width)

Therefοre, we dο nοt have the drawing width, we cannοt calculate the scale.

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Therefore , the solution of the given problem of function comes out to be  y grows by 19/4 units for every unit increase in x.

There will be questions on design, mathematics, each subject, and both real expression and imagined locations on the midterm exam. a list of the relationships between different elements that cooperate to create the same result. A service is composed of numerous distinctive components that cooperate to create distinctive results for each input. Every mailbox also has a specific address, which may be an enclave, a neighborhood.

Here,

The slope of the equation

=> y = 19/4x - 19 is 19/4.

This implies that y grows by 19/4 units for every unit increase in x.

You would need to be familiar with the expression or

graph of the other function in order to compare the rate of change with it.

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Answer: 160

Step-by-step explanation: The straight line or line X is 180 degrees. So subtracted 20. This is because X is intersected by another line which makes the upper notch 20 degrees.

The sentence represented as an algebraic expression is x² - 1

Algebraic expressions can be defined as a mathematical expression that consists of terms, variables, constants, coefficients and fractions.

Also, these algebraic expressions are identified with arithmetic or mathematical operations. These operations are;

From the information given, we have that;

Let the number be x

If 1 is then subtracted from the square of a number.

Fiirst, the square of the number is x²

This is represented as;

x² - 1

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The coordinates of B' after the sequence of transformations are given as follows:

B'(3,-4).

The coordinates of B are given as follows:

B(-3,1).

After a reflection over the y-axis, the x-coordinate of B is exchanged, hence:

B'(3, 1).

The rule for a 90º clockwise rotation is that (x,y) becomes (y,-x), hence the coordinates of B' after the 90º clockwise rotation are given as follows:

B'(1, -3).

The translation (x + 2, y - 1) means that 2 is added to the x-coordinate while 1 is subtracted from the y-coordinate, hence the final coordinates of B' are given as follows:

B'(3,-4).

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If triangle ABC has points A(2, -4), B(-3, 1), and C(-2, -6) and you perform the following transformations, B' would be at B' (3, -4).

In Geometry, the rotation of a point 90° about the center (origin) in a clockwise direction would produce a point that has these coordinates (y, -x).

By applying a reflection over the y-axis to the coordinate of the given point B (-3, 1), we have the following coordinates:

Coordinate B = (-3, 1)   →  Coordinate B' = (-(-3), 1) = (-3, 1).

Next, we would apply a rotation of 90° clockwise as follows;

(x, y)                               →            (y, -x)

Coordinate B' = (-3, 1) → Coordinate B' = (1, (-3)) = (1, 3)

Finally, we would apply a translation (x + 2, y - 1) as follows:

Coordinate B' = (1, 3) → (1 + 2, 3 - 1) = B' (3, 2).

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Answer:

The answer to this question is 391 points will be scored in 17 games. to find this answer you divide 94 by 4 to find the total points per single game, then multiply that by 17. in this case is is 92 divided by 4 = 23 then 23 X 17 = 391

Answer:

Step-by-step explanation:

Para convertir 44 semanas a meses, debemos saber cuántas semanas hay en un mes. El número de semanas en un mes no es exacto, pero generalmente se considera que hay alrededor de 4.33 semanas en un mes (ya que el año tiene aproximadamente 52 semanas y 12 meses).

Entonces, para calcular cuántos meses hay en 44 semanas, podemos dividir 44 por 4.33:

44 semanas / 4.33 semanas por mes = 10.16 meses (aproximadamente)

Por lo tanto, 44 semanas equivalen aproximadamente a 10.16 meses.

Answer:

The correct equation is:

b - 3/4 = 3 1/4

Explanation:

Lily used 3/4 of a chocolate bar, so the remaining chocolate bars can be found by subtracting 3/4 from the total number of chocolate bars b:

b - 3/4 = remaining chocolate bars

The problem tells us that there are 3 1/4 remaining chocolate bars, so we can substitute this value in the equation and solve for b:

b - 3/4 = 3 1/4

b = 3 1/4 + 3/4

b = 4

Therefore, the counselor put 4 chocolate bars on the table.

Answer:

If you deposit $1000 each year into an account earning 8% compounded annually, you will have $13,366.37 in the account in 10 years. Using the compound interest formula A = P(1 + r/n)^(nt), where A is the amount, P is the principal, r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the number of years, we can calculate the amount. Plugging in the values, we get A = 1000(1 + 0.08/1)^(1*10) = $2,159.15. Therefore, the total amount after 10 years will be $13,366.37, which is the sum of the principal and the interest earned.

Given,

Annual deposit = $1000

Rate = 8% compounded annually

Time(n) = 10 year

Amount = ?

As we know the formula ,

Amount = P(1+r/100)ⁿ

Amount = 1000(1+8/100)¹⁰

Amount = 1000(1+0.08)¹⁰

Amount =1000(1.08)¹⁰

Amount = 1000 × 2.15892

Amount = $2158.92

Hence, amount in 10year will be $2158.92

Answer: D. 9.68

Step-by-step explanation:

145.2 oz/ 15 cups = 9.68 oz per cup

Accοrding the given expressiοns this is the right answer  (1/2)⁵ = 1/2 × 1/2 × 1/2 × 1/2 × 1/2 = 1/32

(1/5)³= 1/5 × 1/5 × 1/5 = 1/125

In mathematics, an expressiοn is a cοmbinatiοn οf numbers, variables, and οperatοrs that represents a mathematical relatiοnship οr fοrmula. It can include numbers, variables, and mathematical οperatοrs such as additiοn, subtractiοn, multiplicatiοn, divisiοn, expοnents, and rοοts. Fοr example, 2x + 3y is an expressiοn that includes the variables x and y, and the οperatοrs additiοn and multiplicatiοn. Expressiοns can be simplified, evaluated, οr used tο represent mathematical relatiοnships.

a) (1/2)⁵ = 1/2 × 1/2 × 1/2 × 1/2 × 1/2 = 1/32

b) (1/5)³ = 1/5 × 1/5 × 1/5 = 1/125

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answer is

512

Step-by-step explanation:

1.6x80=128

128x4=512

Answer:assuming its a rectangle its 13.5

Step-by-step explanation: L x H = Area

The circles having an area less than 300 square centimeters are;

Option A: A circle with a radius of 9. 5 centimeters

Option D: A circle with a diameter of 15 centimeters

It is important to note the formula for calculating the area of a circle is expressed as;

A = πr²

Such that the parameters are;

From the information given, we have that;

radius = 9.5 centimeters

Substitute the value

Area = 3.14 × (9. 5)²

Area = 283. 4 cm²

For diameter of 15 centimeters

Radius = 7.5 centimeters

Substitute the values

Area = 3.14 × (7.5)²

Area = 176. 6 cm²

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We may conclude after answering the presented question that As a equation result, we have demonstrated that mt = mu when t | u.

Make a note of the definition of t | u. It denotes the existence of an integer k such that u = tk.

To get mt = m, substitute u = tk into mt = mu (tk).

Rewrite m(tk) as (mt)k using the associative property of multiplication.

To get mt = (mt)k, substitute (mt)k for m(tk) in the equation mt = mu.

Multiply both sides by mt. If mt is greater than zero, we obtain 1 = k. If mt is zero, we must also have mu = 0, hence the equation holds.

Since 1 Equals k, we get u = tk = t(1) = t.

We get mt = mt by substituting u = t into the original equation mt = mu.

As a result, we have demonstrated that mt = mu when t | u.

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The correct answer is A) test statistic T equals -1.952; P value, 0.0414.

An assumption or concept is given as a hypothesis for the purpose of debating it and testing if it might be true. In the scientific process, the hypothesis is developed before any pertinent research—aside from a basic background review—has been conducted.

The null hypothesis that there is no difference between the triglyceride test levels is sufficiently refuted by the available data.

With 9 degrees of freedom and a significance threshold of 0.05, this can be ascertained by comparing the derived test statistic (T) with the critical value of t from the t-distribution table. We reject the null hypothesis if the estimated T value is in the rejection zone (i.e., T value is smaller than the critical value of t).

The computed T value in this instance is -1.952, which is in the rejection region (i.e., less than the critical value of t of -1.833). Hence, we get to the conclusion that there is enough data to imply that the new diet has an effect on lowering triglyceride levels and reject the null hypothesis that there is no difference between the triglyceride test levels.

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The distance from rock to tree is approximate 99.48 m.

The bearing in navigatiοn refers tο the path between twο pοints, calculated in clοckwise rοtatiοns arοund nοrth. It is frequently emplοyed tο indicate the directiοn οf travel between twο places οr the οrientatiοn οf a landmark with respect tο a ship οr aircraft.

The azimuth, which is the angle between a reference directiοn (οften nοrth) and the directiοn tο an οbject οr pοint, is distinct frοm the bearing.

A. check the attachment given.

B. Let the distance from rock to tree be = H meter

Now, [tex]$ \rm \frac{Sin(056^{\circ})}{1} = \frac{H}{120}[/tex]

H =  Sin(056°) × 120

H = 99.48 m

Thus, The distance from rock to tree is  99.48 m.

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Step-by-step explanation:

remember the GCF (greatest common factor) ?

every number or term is the product of certain prime numbers (prime factors).

the product of factors that the discussed numbers or terms have in common is the GCF.

1)

12x³ + 8x

12x³ :

12 / 2 = 6

6 / 2 = 3

3 / 2 no

3 / 3 = 1 finished

12 = 2×2×3

x³ = x×x×x

so,

12x³ = 2×2×3×x×x×x

8x :

8 / 2 = 4

4 / 2 = 2

2 / 2 = 1 finished

8 = 2×2×2

x = x

so,

8x = 2×2×2×x

what factors do they have in common ?

2×2×x = 4x

so, the GCF = 4x

that means

12x³ + 8x = 4x×3x² + 4x×2 = 4x(3x² + 2)

2)

18a² + 2a

18a² :

18 / 2 = 9

9 / 2 no

9 / 3 = 3

3 / 3 = 1 finished

18a² = 2×3×3×a×a

2a :

2 / 2 = 1 finished

2a = 2×a

so, they have 2×a = 2a in common.

the GCF = 2a.

that means

18a² + 2a = 2a×9a + 2a×1 = 2a(9a + 1)

3)

25b⁴ + 30b³

25b⁴ :

25 / 2 no

25 / 3 no

25 / 5 = 5

5 / 5 = 1 finished

25b⁴ = 5×5×b×b×b×b

30b³ :

30 / 2 = 15

15 / 2 no

15 / 3 = 5

5 / 3 no

5 / 5 = 1 finished

30b³ = 2×3×5×b×b×b

so, they have 5×b×b×b = 5b³ in common.

the GCF = 5b³

that means

25b⁴ + 30b³ = 5b³×5b + 5b³×6 = 5b³(5b + 6)

The circumference's shortest distance between points A and C is 102.91m.

A rectangle is a quadrilateral with four right angles in the Euclidean plane.

It can alternatively be described as a parallelogram with a right angle or an equiangular quadrilateral, where equiangular denotes that all of its angles are equal.

A square is a rectangle with four equally long sides.

As a result, a square is a particular form of rectangle since it has rectangles with equal-length sides.

So, we know that:

AC = 80 m

CD = 50 m

Apply the Pythagorean theorem to the right triangle using ADC.

AC = √AD² + CD²

AC = √80² + 50²

AC = 94.34m

The shortest path through the park from point A to point C must only follow the lines depicted in the diagram.

Hence, we must deduct AC by 15 meters in diameter.

94.34m - 15m = 79.34m

The shortest distance is 79.34 miles plus one-half a circle's circumference.

As the circle's diameter is 15 meters, the radius is 15/2 = 7.5m.

The circumference would be:

2*π*r = 47.14m

The half circumference would be:

47.14/2 = 23.57m

Then,

79.34m + 23.57m = 102.91m

Therefore, the circumference's shortest distance between points A and C is 102.91m.

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5 miles each day so 5×7=35 miles a week

If the circle is dilated by a factor of 2, the equation of the circle is: C. (x + 3)² + (y - 2)² = 18.

In Mathematics and Geometry, the standard form of the equation of a circle is represented by the following mathematical equation;

(x - h)² + (y - k)² = r²

Where:

By critically observing the graph of this circle, we have the following parameters:

By substituting the given parameters into the equation of a circle formula, we have the following;

(x - h)² + (y - k)² = r²

(x - (-3))² + (y - 2)² = 3²

(x + 3)² + (y - 2)² = 9.

By dilating with a scale factor of 2, we have:

(x + 3)² + (y - 2)² = (9 × 2)

(x + 3)² + (y - 2)² = 18

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Answer: 3. 35x + 15 = 155

Step-by-step explanation:

35 x 4 = 140

140 + 15 = 155