true or false, when graphing a linear Inequality in two variables, the inequality symbol " < " states to use a broken line.

The square of a binomial, when the binomials are subtracted, is defined as follows:

(a - b)² = a² - 2ab + b².

When the two binomials are added, the square is given as follows:

(a + b)².

Expanding the square, we have that:

(a + b)² = (a + b) x (a + b).

(a + b)² = a² + ab + ab + b².

(a + b)² = a² + 2ab + b².

Which is the result presented in this problem.

Now, when the binomial has a minus sign, involving a subtraction, the pattern is obtained as follows:

(a - b)² = (a - b) x (a - b).

(a - b)² = a² - ab - ab + b².

(a - b)² = a² - 2ab + b².

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Answer:

x ≈ 56.6°

Step-by-step explanation:

using the cosine ratio in the right triangle

cos x = \(\frac{adjacent}{hypotenuse}\) = \(\frac{EF}{DF}\) = \(\frac{4.4}{8}\) , then

x = \(cos^{-1}\) ( \(\frac{4.4}{8}\) ) ≈ 56.6° ( to the nearest tenth )

Algebra transformation

for  Graph1 f(x)=f(x)+4

for  Graph2 f(x)=-f(x-4)

for  Graph3 f(x)=f(x-7)

for  Graph4 f(x)=f(x-2)-5

In mathematics, the reflection of a graph is a transformation that produces a mirror image of the original graph across a specific line or point. The line or point across which the reflection occurs is called the axis of reflection.

Graph1

Transform the graph by +4 units in y direction.

f(x)=f(x)+4

Graph2

Transform the graph by +4 units in x direction.

f(x)=f(x-4)

Now take the reflection of graph about x axis

f(x)=-f(x-4)

Graph3

Transform the graph by +7 units in x direction.

f(x)=f(x-7)

Graph5

Transform the graph by -5 units in y direction.

f(x)=f(x)-5

Now Transform the graph by -2 units in x direction.

f(x)=f(x-2)-5

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Answer:

A. F^1(x) = x/7

Step-by-step explanation:

\(y = 7x \\ x = 7y \\ \frac{x}{7} = \frac{7y}{7} \)

\(y = \frac{x}{7} \)

Therefore the inverse is

\(f {}^{1} = \frac{x}{7} \)

Step-by-step explanation:

-3 13/20

-3 65/100

-3 0.65

= -3.65

Answer:

f(y-2)+f(4-y)=4

Step-by-step explanation:

Assume (let) x=y-2

So: y=x+2

f(y-2)+f(4-y)=f(x)+f(-x+2)=f(x)+f(2-x)

The value of that expression is 4 from the given.

la surface de l'écharpe est de 1 1 56 cm² car la formule pour calculer l'air d'un carré est A= coté * coté soit coté²

donc :  Aécharpe=34²=1156

Answer:

c || f  d || e

step-by-step explanation:

Answer:

C and D

or

c || f

d || e

Hope this Helps!

Answer:

\(\frac{3}{6}\) which is A

Step-by-step explanation:

Step-by-step explanation:

4x+15y= 40-5y= 20

= 4x+15y+5y= 40-20

4x+20y= 20

Answer:

B. Researchers working for a company test their new sneaker design to see if it helps athletes run faster.

Step-by-step explanation:

The researchers are testing a hypothesis, and they are also in control of certain variables, they're not just observing like C.

Answer:

What percent of the large square is shaded? The grid is divided into 10 rectangles. For percents, you need to look at 100 equal-sized parts of the whole

Step-by-step explanation:

The ratios with a rate of 3 are;-

2. 2 1/2 cups ; 5/6 cups

3. 2 cups ; 2/3 cups

6. 15/2 cups ; 2 1/2 cups

Given,

The ratios;

We have to find the ratios with a rate of 3.

Lets see;-

2/3 ; 1

2 ; 1 x 3

2 ; 3

This doesn't have a rate of 3.

2. 2 1/2 cups ; 5/6 cups

2 1/2 ; 5/6

5/2 ; 5/6

5 x 6 ; 5 x 2

30 ; 10

3 ; 1

This is a ratio with a rate of 3.

3. 2 cups ; 2/3 cups

2 ; 2/3

2 x 3 ; 2

6 ; 2

3 ; 1

This is a ratio with a rate of 3.

4. 1 cup ; 1/4 cups

1 ; 1/4

1 x 4 ; 1

4 ; 1

This doesn't have a rate of 3.

5. 3 3/4 cups ; 2 cups

3 3/4 ; 2

15/4 ; 2

15 ; 2 x 4

15 ; 8

This doesn't have a rate of 3

6. 15/2 cups ; 2 1/2 cups

15/2 ; 2 1/2

15/2 ; 5/2

15 x 2 ; 5 x 2

30 ; 10

3 ; 1

This is a ratio with a rate of 3.

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De acuerdo con la información, se puede inferir que ambas cajas caben en el estante.

Para saber cuál caja cabe en el estante debemos tener en cuenta las medidas del estante y de las cajas. De acuerdo con lo anterior, sabemos que el estante tiene 65cm de altura y las cajas tiene 16dm³ y 343dm³.

Para calcular cuál caja cabe en el estante debemos hallar la raíz cúbica del tamaño de las cajas y compararlo con la longitud del estante:

\(\sqrt[3]{16} = 2.5198421\\\sqrt[3]{343} = 7\\\)

De acuerdo con lo anterior, ambas cajas caben en el estante debido a que sus lados son menos largos que el estante. Una de ellas tiene lados iguales de 2.51dm y la otra tiene lados de 7 dm.

Nota: Esta pregunta está incompleta. Aquí está la pregunta completa:

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Answer: 1

Step-by-step explanation:

Answer:

The standard error of the sample mean  (S.E) = 0.7835

Step-by-step explanation:

Explanation:-

Given mean of the Population = 62.95 inches

Given standard deviation of the Population = 5.65 inches

The standard error of the sample mean is determined by

                  \(S.E = \frac{S.D}{\sqrt{n} }\)

                \(S.E = \frac{5.65}{\sqrt{52} } = 0.7835\)

The standard error of the sample mean  is approximately (S.E) = 0.7835.

It is an estimate of the standard deviation of the sampling distribution. It measures the variability of a considered sample statistic.

Supopse that we're given that:

Population standard deviation =\(\sigma\)

Size of sample we're working on = n

Then, the standard error can be calculated as:

\(SE = \dfrac{\sigma}{\sqrt{n}}\)

where SE denotes the standard error.

A track coach is gathering data on the stride length of each of her 52 team members when running a distance of 500 meters.

The population means is 62.95 inches with a standard deviation of 5.65 inches.

The mean of the Population = 62.95 inches

The standard deviation of the Population = 5.65 inches

The standard error of the sample mean can be determined by

\(= \dfrac{Standard deviation }{\sqrt{sample size}}\\\\\\= \dfrac{5.65 }{\sqrt{52}}\\= 0.7835140\)

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Answer:

a. H0: p ≥ 0.50; HA: p < 0.50

b. H0: μ ≥ 10; HA: μ < 10

c. H0: μ = 250; HA: μ ≠ 250

Step-by-step explanation:

a. "I am going to get the majority of the votes to win this election."

This sentence means that the probability of winning is more than fifty percent or more than half.The null hypothesis would be

H0: the probability of winning is more than 50 %

against the claim that

Ha: the probability of winning is less than 50%

So the best choice would be option c

H0: p ≥ 0.50; HA: p < 0.50

b. "I suspect that your 10-inch pizzas are, on average, less than 10 inches in size."

The claim is that the pizzas are less than 10 inches in size.

which can be written as alternate hypothesis

Ha: u < 10

so the best choice would be  option a

H0: μ ≥ 10; HA: μ < 10

c. "I will have to fine the company since its tablets do not contain an average of 250 mg of ibuprofen as advertised."

In this statement the claim is that an average of ibuprofen do not contain 250 mg as advertised.

the alternate hypothesis would be u ≠ 250 mg

Ha: μ ≠ 250  and the null hypothesis is the reverse of the aalternate hypothesis.

so the best option would be part a

H0: μ = 250; HA: μ ≠ 250

Answer:

-30

2

144

675

0

Step-by-step explanation:

Answer:

25872 ways

Step-by-step explanation:

We're choosing 5 women from a group of 11 and 3 men from a group of 8. We don't care about what order they are picked and so we'll use the combination formula, which is:

n!/(k!)(n-k)! with n as population and k as picks.

We'll multiply the results together. (8! / (3!)(8-3)!) * (11! / (5!)(11-5)!)

That equals: (8! / (3!)(5!) ) * (11! / (5!)(6!)) = 40320/(6x120) * 39916800/ (120x720)

56 * 462 = 25872

6 bottles are required for a 14 day supply.

One bottle contains 15 tablets and the dosage is two tablets thrice daily for 14 days, we need to find the quantity of tablets required. Let's calculate it. Quantity needed We know,

Total tablets required=Tablets required

per day x Days

To find the total tablets required, we first need to find the tablets required per day. Tablets required per day Given that,2 tablets are taken thrice daily,

Therefore the tablets required

per day= 2 x 3 = 6 tablets Per day, 6 tablets are required.

Total tablets required Now we can find the total tablets required by multiplying the tablets required per day by the number of days. Hence,

Total tablets required = Tablets required per day x Days= 6 tablets/day x 14 days= 84 tablets14 day supply has to be made with the given 15 tablets per bottle.

Hence, Quantity needed = Total tablets required/ Tablets per bottle= 84/15 = 5.6 or 6 bottles

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Answer:

Step-by-step explanation:

2 + 4 = 6     X = 6

34 - 4 = 30 .    X = 30

100 + 1000 = 1100 - 10 = 1090

Answer:

50.75

Step-by-step explanation:

We have:

\(E[g(x)] = \int\limits^{\infty}_{-\infty} {g(x)f(x)} \, dx \\\\= \int\limits^{1}_{-\infty} {g(x)(0)} \, dx+\int\limits^{6}_{1} {g(x)\frac{2}{x} } \, dx+\int\limits^{\infty}_{6} {g(x)(0)} \, dx\\\\= \int\limits^{6}_{1} {g(x)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {(4x+3)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {(4x)\frac{2}{x} } \, dx + \int\limits^{6}_{1} {(3)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {8} \, dx + \int\limits^{6}_{1} {\frac{6}{x} } \, dx\\\\\)

\(=8\int\limits^{6}_{1} \, dx + 6\int\limits^{6}_{1} {\frac{1}{x} } \, dx\\\\= 8[x]^{^6}_{_1} + 6 [ln(x)]^{^6}_{_1}\\\\= 8[6-1] + 6[ln(6) - ln(1)]\\\\= 8(5) + 6(ln(6))\\\\= 40 + 10.75\\\\= 50.74\)

230FT

Regular tetrahedron

Solve for volume

V≈1.15×107

Use the formula for the volume of a triangular pyramid: V=13Ah , where A = area of the triangular base, and H = height of the pyramid.

The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).

In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.

Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.

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a. The center of the circle is (-2, -1).

b. The radius of the circle is √136.

c. The equation of the circle is (x + 2)^2 + (y + 1)^2 = 136.

a. To find the center of the circle, we can use the midpoint formula, which states that the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) is given by:

Midpoint = ((x1 + x2)/2, (y1 + y2)/2)

In this case, the endpoints of the diameter are P(-7, -4) and Q(3, 2).Applying the midpoint formula:

Midpoint = ((-7 + 3)/2, (-4 + 2)/2)

= (-4/2, -2/2)

= (-2, -1)

Therefore, the center of the circle is at the coordinates (-2, -1).

b. To find the radius of the circle, we can use the distance formula, which calculates the distance between two points (x1, y1) and (x2, y2). The radius of the circle is half the length of the diameter, which is the distance between points P and Q.

Distance = √\([(x2 - x1)^2 + (y2 - y1)^2]\)

Using the distance formula:

Distance = √[(3 - (-7))^2 + (2 - (-4))^2]

= √\([(3 + 7)^2 + (2 + 4)^2]\)

= √\([10^2 + 6^2\)]

= √[100 + 36]

= √136

Therefore, the radius of the circle is √136.

c. The equation for a circle with center (h, k) and radius r is given by:

\((x - h)^2 + (y - k)^2 = r^2\)

In this case, the center of the circle is (-2, -1), and the radius is √136. Substituting these values into the equation:

\((x - (-2))^2 + (y - (-1))^2\) = (√\(136)^2\)

\((x + 2)^2 + (y + 1)^2 = 136\)

Therefore, the equation of the circle is (x + 2)^2 + (y + 1)^2 = 136.

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Answer:

A=5h(B+b)

A/5h=B+b

A/5h - b= B