4x + 8 = 36 linear equations

Answer:

B: SAS

Step-by-step explanation:

You know that QR is congruent to PS.

You also know that angle qsr and pqs are both 90 degrees.

Lastly QS is a shared side so it must be the same length.

Answer:

D. HL

Step-by-step explanation:

given right angle, hypotenuse and a leg which is basically HL

ps and QR is congruent bc of given

QS=QS bc it's the same thing

Answer:

We cant see the graph stup!d

Step-by-step explanation:

The volume of a solid figure with a height of 2 and a square cross-sectional area where the length of the side of a cross-section is x is 2x^2.

To calculate the volume of the solid figure with a height of 2 and a square cross-sectional area, we need to know the length of the side of the cross-section. Let's assume that the length of the side is x.
The cross-sectional area of the figure is the area of the square, which is x^2. The volume of the figure is the product of the cross-sectional area and the height, which is 2x^2.
Therefore, the volume of the solid figure is 2x^2.
It's important to note that the volume of a solid figure is directly proportional to its cross-sectional area. This means that if we increase the cross-sectional area by a factor of 2, the volume will also increase by a factor of 2. This relationship is because the cross-sectional area determines how much material there is to fill up the space. The larger the cross-sectional area, the more material is needed to fill up the same height, resulting in a larger volume.
In conclusion, the volume of a solid figure with a height of 2 and a square cross-sectional area where the length of the side of a cross-section is x is 2x^2.

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The seating capacity of an auditorium with 37 rows of seats is 23,271.

Given that the first row has 16 seats, the second row has 21 seats, the third row has 26 seats, and so on up to the 37th row. Using the formula for the sum of an arithmetic series, we have: Sn = n/2[2a + (n - 1)d] where n is the number of terms in the series a is the first term of the series d is the common difference of the series.

Here, a = 16, d = 5, and n = 37. Plugging in these values in the formula, we get Sn = 37/2[2(16) + (37 - 1)5]Sn = 37/2[32 + 180]Sn = 37/2(212)Sn = 23,271. Therefore, the seating capacity of the auditorium is 23,271.

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The arithmetic mean of the integers on Jake's list is:7773 / 3 = 2591.

To find the arithmetic mean of the integers on Jake's list, we must determine all of the four-digit positive integers with this property.  Given that the product of the four digits of the four-digit positive integer is 5. Thus, we must determine all the four-digit positive integers with this property.

The four digits of the given number are distinct and positive integers. As a result, the given digits could only be 1 and 5 because the product of the four digits is 5.Therefore, the given number could be 1511, 1151, or 5111.

Since the digits are distinct, we cannot include 1115 or 1151. As a result, only three positive integers have the desired property, and their sum is:1511 + 1151 + 5111 = 7773.

The arithmetic mean of the three integers in Jake's list is given by the sum of the integers divided by the number of integers, which is 3. Therefore, the arithmetic mean of the integers on Jake's list is:7773 / 3 = 2591.

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Anwser:

180/3=60

60/12=5

3x(12x5)=180

b=5

Step-by-step explanation:

The equation of line tangent is y-35x+30=0.

What is tangent of a line?

A tangent line to a circle is a line that touches the circle exactly one time in Euclidean plane geometry and never enters the interior of the circle. Tangent lines to circles are the focus of various theorems and are crucial to numerous geometric structures and mathematical arguments.

Given equation y=2x+33x-2

                       =>y=35x-2

General slope intercept form is y=mx+b

Comparing and we get m = 35

The equation of tangent is y-5=35 (x-1)

=> y-5=35x-35

=> y=35x-35+5

=>y-35x+30=0

Therefore, the equation of line tangent is y-35x+30=0.

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The correct answer is (d), i.e., the correct hypotheses are as follows:

\(H_o: p_1 = p_2= p_3\)

against

\(H_1:\) At least one of the proportions is different from the others.

In hypothesis testing, the objective is to reject the null hypothesis that's why the null hypothesis is always set against the desired result.

In this problem, there are three categories given, each having its individual proportions: \(p_1\), \(p_2\), and \(p_3\) .

The null hypothesis is that all proportions are equal, i.e.,

\(H_o: p_1 = p_2= p_3\)

and the alternative hypothesis is that at least any one of the proportions is not equal to the others, i.e.,

\(H_1:\) At least one of the proportions is different from the others.

Thus, option (d) is correct.

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The complete question is as follows:

The following table contains the number of successors and failures for three categories of a variable. Test whether the proportions are equal for each category at the α= 0.1 level of significance.

             Category 1 Category 2 Category 3

Failures       64              48             68

Successes   78              55             84

1) State the hypotheses. Choose the correct answer below:

a) H0: μ1 = E1 and μ2 = E2 and μ3 = E3

H1: At least one mean is different from what is expected.

b) H0: The categories of the variable and success and failure are independent.

H1: The categories of the variable and success and failure are dependent.

c) H0: The categories of the variable and success and failure are dependent.

H1: The categories of the variable and success and failure are independent.

d) H0: p1 = p2 = p3

H1: At least one of the proportions is different from the others.

The calculated length of the segment AD is 14

From the question, we have the following parameters that can be used in our computation:

B is the midpoint of AC

BD = 9 and BC = 5

Using the above as a guide, we have the following:

AB = BC = 5

CD = BD - BC

So, we have

CD = 9 - 5

Evaluate

CD = 4

So, we have

AD = AB + BC + CD

substitute the known values in the above equation, so, we have the following representation

AD = 5 + 5 + 4

Evaluate

AD = 14

Hence, the length of the segment AD is 14

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Therefore , the solution of the given problem of unitary method comes out to be AB's picture still has a length of 3 units.

To finish a job using unitary procedure, multiply the result by two after determining the size of such a tiny slice. Simply put, a designed object is separated from a specific set or sets of frames using the unit method. For instance, 40 pens would cost kg ($1.01) or Rs. It's conceivable that one nation will have complete control over the strategy used to achieve this.

Here,

Since section AB's length is a distance measure, translations have no impact on it.

As a result, even after translation, segment AB's picture still has a length of 3 units.

To better understand, consider segment AB as a physical item, such as a pencil.

The length of the pencil remains 3 units from end to end even if you lift it up and move it 7 units down and 8 units to the right.

For section AB, the same holds true.

Therefore , the solution of the given problem of unitary method comes out to be AB's picture still has a length of 3 units.

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Answer:3

Step-by-step explanation:

Answer: \(4x10^{12}\)  A

Step-by-step explanation:

divide the 8.8/2.2 =4

when dividing numbers with same base and has exponents subtract the exponents

10\(\frac{10^{9} }{10^{-3} } = 10^{9-(-3)} =10^{12}\)

so you get

\(4x10^{12}\)   A

Answer: A

Step-by-step explanation:

You'll first need to multiply the top part of the fraction

Then, you'll multiply the bottom part of the fraction

when you divide the two numbers, you'll get the answer!

TRUST ME ^^

I did this lesson and passed!!!

Answer:

2nd no is corret

Step-by-step explanation:

as altitude is defined as a st. line meeting its base forming 90degree angle.

Answer:

I think the second answer, JH is an altitude of GJI, is the correct answer.

Step-by-step explanation:

Having JH be an altitude of GJI means that it makes a 90 degree angle. And to prove that it's a 90 degree angle we look at where it has the little squares. The squares represent 90 degrees.

Hope this helps!

Answer:

The answer is (3, 3) where X and Y both equal 3. Here's why:

Step-by-step explanation:

5Y=10X-15. We can begin by dividing each side by 5, By doing this, we get Y=2X-3. We can use this for the 2nd equation.

It says that 3Y-2X=3, but we just found out that Y=2X-3. Therefore, instead of writing 3Y, we can write 3(2X-3), because we're replacing Y with an equivalent value. This means we can say that 3(2X-3)-2X=3. Using distributive property, we get 6X-9-2X=3. 6X-2X is 4X, therefore 4X-9=3. If we add 9 to each side, we get 4X=12. Divided each side by 4, and we get X=3. Now, to find Y, plug the X value into one of the equations. I'll use the first one.

5(Y)=10(3)-15. Therefore 5Y=30-15. This means 5Y=15. Now we divided each side by 5, and we get Y=3. Hope this helps :)

Answer:D: 75.36 in

Step-by-step explanation: A= 3.14 x 12(2)

Answer:

We need to find the value of f(g(10)) when k = 3, where f(x) = 6x - 2 and g(x) = 5x - kx + 15.

First, we need to evaluate g(10) when k = 3:

g(x) = 5x - kx + 15

g(10) = 5(10) - 3(10) + 15

g(10) = 50 - 30 + 15

g(10) = 35

Now that we know g(10) = 35, we can evaluate f(g(10)):

f(x) = 6x - 2

f(g(10)) = 6(35) - 2

f(g(10)) = 208

Therefore, when k = 3, f(g(10)) = 208.

Answer:

False, 5 is not a factor of 54.

Answer:

y = 10

Step-by-step explanation:

Given y varies jointly as x and z then the equation relating them is

y = kxz ← k is the constant of variation

To find k use the condition y = 20 when x = 4 and z = 3 , then

20 = k × 4 × 3 = 12k ( divide both sides by 12 )

\(\frac{20}{12}\) = k , that is

k = \(\frac{5}{3}\)

y = \(\frac{5}{3}\) xz ← equation of variation

When x = 2 and z = 3 , then

y = \(\frac{5}{3}\) × 2 × 3 = 5 ×  2 = 10

The answer to the expression\("x^3 y^3 z^3 K"\) is the product of the cubes of the variables x, y, z, and K.

The expression \("x^3 y^3 z^3 K"\) represents the product of the cubes of the variables x, y, z, and K.

It can be simplified as\((x \times x \times x) v (y \times y \times y) \times (z \times z \times z) \times K.\)Simplifying further, we get x^3 * y^3 * z^3 * K.

Therefore, the answer to the expression \("x^3 y^3 z^3 K" is $ x^3 \time y^3 z^3 \time K.\)

It represents the result of cubing each variable (x, y, z) and multiplying the cubes together with the variable K.

The actual numerical value of the expression will depend on the specific values assigned to the variables x, y, z, and K.

If you have specific values for these variables, you can substitute them into the expression and calculate the final result.

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The angle 7 is given as, m<7 = 131°.

The sum of angle 7 and angle 8 is 180°.

Substitute the m<7 = 131°.

Thus the value of angle 8 is,

Answer:

the force of the tires against the road and the force of the road on the tires

Step-by-step explanation:

i took the quiz

The lines which are parallel are given below :

Line b is parallel to line f, line b is parallel to line d, line c is parallel to line e, line c is parallel to line d and line d is parallel to line f.

Line b is parallel to line f  because they both have a pair of alternate angles that are congruent which is 89.5 degrees and 90.5 degrees.

Line b is parallel to line d because they both have a pair of alternate angles that are congruent at 89.5 degrees.

Line c is parallel to line e because they both have a pair of alternate angles that are congruent at 91.5 degrees.

Line c is parallel to line d because they both have a pair of alternate angles that are congruent: 89.5 degrees.

Line d is parallel to line f since they have corresponding angles of 89.5 degrees and 90.5 degrees, respectively

Therefore, the correct answer is :

Line b is parallel to line f, line b is parallel to line d, line c is parallel to line e, line c is parallel to line d and line d is parallel to line f.

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Answer:

y = x - 2

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = 1 , then

y = x + c ← is the partial equation

to find c substitute (5, 3 ), that is x = 5, y = 3 into the partial equation

3 = 5 + c ⇒ c = 3 - 5 = - 2

y = x - 2 ← equation of line

Answer:

50

Step-by-step explanation:

For x number of newspapers, their earnings are:

D = 5 + 0.04x

J = 2 + 0.10x

5 + 0.04x = 2 + 0.10x

3 = 0.06x

x = 50

Answer: 2.5, 5.3

Step-by-step explanation:

\(-16t^2 +126t=217\\ \\ 16t^2 -126t+217=0\\\\t=\frac{-(-126) \pm \sqrt{(-126)^2 -4(16)(217)}}{2(16)}\\\\t \approx 2.5, 5.3\)

\(\boxed{\sf (a-b)^3=a^3-3a^2b+3ab^2-b^3}\)

\(\\ \sf\longmapsto 64a^3-(b-c)^3\)

\(\\ \sf\longmapsto 64a^3-(b^3-3b^2c+3bc^2-c^3)\)

\(\\ \sf\longmapsto 64a^3-b^3+3b^2c-3bc^2+c^3\)

\(\\ \sf\longmapsto 64a^3-b^3+c^3+3b^2c-3bc^2\)

Answer:

Step-by-step explanation:

\(Remember:\\\\\boxed{x^3-y^3=(x-y)(x^2+xy+y^2)}\\\\64a^3-(b-c)^3\\\\=(4a)^3-(b-c)^3\\\\=(4a-(b-c))(16a^2+4a(b-c)+(b-c)^2)\\\\=(4a-b+c)(16a^2+4ab-4ac+b^2-2bc+c^2)\\\)

The following distributions has a mean that varies

II. The distribution of sample data

III. The sampling distribution of the sample mean

The correct answer is option v) II and III."

Here, we have,

In the context of statistical distributions:

I. The population distribution refers to the distribution of a specific variable within the entire population. The mean of the population distribution which is fixed and does not vary.

II. The distribution of sample data refers to the distribution of a variable within a specific sample. The mean of the sample data can vary from one sample to another.

III. The sampling distribution of the sample mean refers to the distribution of sample means taken from multiple samples of the same size from a population. The mean of the sampling distribution of the sample mean is equal to the population mean, but the individual sample means can vary from sample to sample.

Therefore, the mean varies in both the distribution of sample data (II) and the sampling distribution of the sample mean (III), but not in the population distribution (I).

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In Milgram's first study of obedience, the majority of teachers initially complied but refused to deliver more than slight levels of shock.

In Milgram's first study of obedience, participants were assigned the role of 'teacher' and were instructed to administer electric shocks to a 'learner' whenever they answered a question incorrectly. The shocks ranged from mild to severe, with the highest level labeled as 'XXX.' The learner was actually an actor, and no real shocks were administered.

The study found that the majority of teachers initially complied with the experimenter's orders and delivered shocks, but they refused to deliver more than slight levels of shock. This suggests that while they were willing to follow the instructions to some extent, they had moral reservations about causing significant harm to another person.

It is important to note that the study has been criticized for ethical concerns and the potential psychological harm it may have caused to participants. However, it remains a significant contribution to our understanding of obedience and the power of authority figures.

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