Plot the points (-5, 10), (2,

10), (2, -6), and (-5, -6) on a coordinate plane

and join them to get a shane. What shape is it?

Answer:

(a) [8, 14]

(b)  [tex]8 \leq x \leq 14[/tex]

(c)See attachment

Step-by-step explanation:

We want to choose a value of x within 3 units of 11.

(a)Now, 11-3=8 and 11+3=14

The possible values of x ranges is in the closed interval [8,14]

(b) Since x is within 3 units of 11., we have:

[tex]|11-x|\leq3[/tex]

Solving the absolute inequality

[tex]-3 \leq 11-x \leq 3\\$In $ -3 \leq 11-x\\ x \leq 11+3\\x \leq 14\\\\$In $ 11-x \leq 3\\ 11-3 \leq x\\8 \leq x\\$Therefore,an inequality that represents all values of x that meet this constraint is:$\\8 \leq x \leq 14[/tex]

(c)To draw the number line, we use a closed dot since we have the less than or equal to sign.

The solution of the inequality is [tex]8\leq x\leq14[/tex]

According to the question, we need to choose a value of x within 3 units of 11. This can be represented by the inequality

[tex]|11-x|\leq3[/tex]

The expression in modulus can be negative or positive:

For the positive inequality

[tex]11-x \leq3\\-x \leq3 -11\\x\geq8\\8\leq x[/tex]

For the negative inequality

[tex]-11+x \leq3\\x \leq3 +11\\x\leq14\\[/tex]

Combining the inequalities

[tex]8\leq x\leq14[/tex]

Hence the solution of the inequality is [tex]8\leq x\leq14[/tex]

Learn more here: https://brainly.com/question/15816805

Answer:

72.1

Step-by-step explanation:

G(x) =19.60 + 1.75x

Let x = 30

G(30) =19.60 + 1.75*30

          =19.60 +52.5

            72.1

Answer:

Step-by-step explanation:

Let the two triangles be represented as A and B.

Given two triangles with sides 12m 20m 16m and 6m 10m x.

Lengths of sides of triangle A = 12m, 20m, 16m

Lengths of sides of triangle B = 6m, 10m, x

It can be seen that each length of triangle A are twice that of B i.e triangle B dilated by a factor of 1/2.

A = 2B

Considering the 16m length in triangle A  and comparing it with the 'x'm length in triangle B, we can get the unknown length x as shown;

16 = 2x

x = 16/2

x = 8m

Answer:

7/13

Step-by-step explanation:

Answer:

The approximate percentage of cars that remain in service between 73 and 84 months

P( 73 < x < 84 ) = 0.02145 = 2.1 %

Step-by-step explanation:

Explanation:-

Given mean of the Population 'μ ' = 51 months

Standard deviation of the Population 'σ' = 11 months

Let 'X' be the random variable of Normal distribution

Let    'X'  = 73

[tex]Z = \frac{x-mean}{S.D} = \frac{73-51}{11} = 2[/tex]

Let  'X' = 84

[tex]Z = \frac{84-51}{11} = 3[/tex]

The approximate percentage of cars that remain in service between 73 and 84 months

P( 73 < x < 84 )      = P( 2 < Z < 3)

                              = P( Z<3) - P( Z <2)

                             =  0.5 + A(3) - ( 0.5 + A(2))

                            = A(3) - A( 2)

                            = 0.49865 - 0.4772     ( From Normal table)

                            = 0.02145

 P( 73 < x < 84 ) = 0.02145

The approximate percentage of cars that remain in service between 73 and 84 months

P( 73 < x < 84 ) = 0.02145 = 2.1 %

Answer:

the answer is 5

Step-by-step explanation:

Answer:

x=5

Step-by-step explanation:

5x-10=15

5x=25

x=5

Answer:

A

Step-by-step explanation:

RT=12

TU=5

RU=12+5=17

RS=17+7=24

SU=√(RS²-RU²)=√(24²-17²)=√(24-17)(24+17)=√(7×41)=√287

area=1/2×12×√287=6×√287≈101.6 unit²

[tex]distance = \sqrt{x2 - x1 + y2 - y1} \\ here \\ \: \: \: \: x1 = 4 \\ \: \: \: \: x2 = 8 \\ \: \: \: \: y1 = 6 \\ \: \: \: \: y2 = 9 \\ now \: we \: have \: to \: substitute \: the \: given \: values \: in \: the \: above \: formula \\ we \: get \\ \: \: \: \: \: \: = \sqrt{8 - 4 + 9 - 6} \\ \: \: \: \: \: \: = \sqrt{4 + 3} \\ \: \: \: \: \: \: = \sqrt{7} \\ \\ hope \: it \: helped[/tex]

Answer:

The differential equation is  [tex]\frac{dx(t)}{dt} = k x(t) [7000 - x(t)][/tex]

Step-by-step explanation:

From the question we are told that

     The number of students are [tex]n = 7000[/tex]

      The number of student that have contracted the flu is  x(t)

The number of student that don't have the flu is mathematically represented as

      [tex]z = 7000 - x(t)[/tex]

The rate at which the disease spread is proportional to the number of interactions between students with the flu and students who have not yet contracted it, which can be mathematically represented as

         [tex]\frac{dx(t)}{dt} \ \ \ \alpha\ \ \ x(t) [7000 - x(t)][/tex]

=>     [tex]\frac{dx(t)}{dt} = k x(t) [7000 - x(t)][/tex]

Answer:

  A'(4, 3)

Step-by-step explanation:

When a point is reflected across the line y = x, the transformation is ...

  (x, y) ⇒ (y, x)

  A(3, 4) ⇒ A'(4, 3)

The reflected point is (4, 3).

Answer:

Angle LOA = angle LMA

Step-by-step explanation:

I just took the test

From the diagram, the two triangles have an indication of a pair of

congruent angles.

Reasons:

The given parameters of ΔLOA and ΔLAM are;

The shared side of the triangles = Side LA

From the attached diagram, we have;

∠ALO = ∠ALM

Required:

The additional information needed to prove that the triangles are congruent using AAS

Solution:

The AAS congruency is an acronym for Angle Angle Side, which states

that, two triangles are similar if two angles and a non included side of one

triangle are equal to two angles and a non included side on another

triangle, then the two triangles are congruent.

The angle on ΔLOA that will make the side LA a non included side is ∠LOA.

Similarly;

The angle on ΔLAM that will make the side LA a non included side is ∠LMA.

Therefore, the additional information needed to prove that the triangle are congruent using the AAS congruency theorem is; ∠LOA ≅ ∠LMA

Learn more about Angle Angle Side, AAS, rule of congruency here:

https://brainly.com/question/17033697

Answer:

Step-by-step explanation:

Hello!

The objective is to test the claim that less than 41% of the publisher's readers own a laptop.

To do so, a sample of 320 readers was taken and the proportion of readers that own a laptop resulted in 36%

Be X: number of readers that own a laptop.

X~Bi(n;p)

n=320

Sample proportion p'= 0.36

The hypotheses are:

H₀: p ≥ 0.41

H₁: p < 0.41

α: 0.05

[tex]Z=\frac{p'-p}{\sqrt{\frac{p(1-p)}{n} } }[/tex]≈N(0;1)

[tex]Z_{H_0}=\frac{0.36-0.41}{\sqrt{\frac{0.41(1-0.41)}{320} } }= -1.82[/tex]

This test is one-tailed to the left, meaning, that you'll reject the null hypothesis to small values of Z, there is only one critical value that defined the rejection region:

[tex]Z_{\alpha }= Z_{0.05}= -1.645[/tex]

The decision rule is:

If [tex]Z_{H_0}[/tex] ≤ -1.645, reject the null hypothesis.

If [tex]Z_{H_0}[/tex] > -1.645, do not reject the null hypothesis.

The calculated value is less than the critical value, then the decision is to reject the null hypothesis.

So at a 5% significance level, the test is significant. You can conclude that the population proportion of the publisher's readers that own a laptop is less than 41%.

I hope this helps!

Answer:

y= 3/2x -2

Step-by-step explanation:

make y be on one side by itself ( -2y = -3x + 4 )

divide by negative 2 in order to get y by itself ( -2y/-2 = -3/-2 + 4/-2 )

two negatives make a positive ( y = 3/2 + -2 )

Answer: sides

Step-by-step explanation:

The orthocenter of the triangle will be the intersection of the three altitudes of a triangle. The orthocenter has several vital properties with other parts of a triangle, including the area ,incenter circumcenter and more. Typically, the orthocenter is represented by letter H.

The altitude of a triangle is a line that passes through the vertex of a triangle and it is also perpendicular to the opposite side. The orthocenter of a triangle can lie outside the triangle because an altitude may not necessarily intersect the side.

Answer:

Answer 1.

Step-by-step explanation:

The complete question is:

The line whose equation is 3x - 5y = 4 is dilated by a scale factor of 3 centered at the origin. Which statement is correct?

1. The image of the line has the same slope as the pre-image but a different y-intercept.

2. The image of the line has the same y-intercept as the pre-image but a different slope.

3. The image of the line has the same slope and the same y-intercept as the pre-image.

4. The image of the line has a different slope and a different y-intercept from the pre-image.

Recall that a dilation by a scale factor r centered at the origin takes a point (x,y) and maps it to the point (r*x,r*y).

Consider also a line of equation [tex]ax+by=c[/tex]. From this equation, the slope of the line is given by the number [tex]\frac{-a}{b}[/tex] and the y-intercept is given by [tex]\frac{c}{b}[/tex].

Consider the given equation 3x-5y =4. If we replace (x,y) with (3x,3y), we get

[tex]3(3x)-5(3y) = 4 = 3 (3x-5y) = 4 [/tex]

which is equivalent to

[tex] 3x-5y = \frac{4}{3}[/tex]

Note that comparing the equations 3x-5y=4 and [tex]3x-5y=\frac{4}{3}[/tex] the values of a and b are equal but the value of c is different. This means that they have the same slope but a different y-intercept.

Answer:

89

Step-by-step explanation:

Answer:

The answer would be 50%

Step-by-step explanation:

You Would get this by dviding 36/72 which would give you .5 and then you convert that to a percentage

Answer:

50%

Step-by-step explanation:

Answer:

Step-by-step explanation:

These are mostly calculator problems. The only trick is the last one. Your calculator will have either a y^x button or ^ button. They both do the same thing.

So for the last one, you must do it as

64 y/x (1÷6)= and you will get 2. Perhaps all of them should be done that way.

If your calculator uses ^ then you would do it

64^(1÷6)= which is the same thing.

Answers

a 4

b 10

c 5

d 2

Answer:

m∠3 = 115°

Step-by-step explanation:

Since measure of angle 6 = (2x - 5)°

And measure of angle 8 = (x + 5)°

Since ∠6 and ∠8 are the supplementary angles,

m∠6 + m∠8 = 180°

(2x - 5)° + (x + 5)° = 180°

3x = 180°

x = 60°

Therefore, m∠6 = (2x - 5) = (120 - 5) = 115°

and m∠8 = (x + 5) = 65°

Since angle 6 and angle 3 are interior alternate angles,

Therefore, m∠6 = m∠3 = 115° will be the answer.

Answer:

Answer = 26.75

Answer = 27

Step-by-step explanation:

[tex]a^{3} -b^{2} \\a =3\\b =\frac{1}{2} \\3^{3} -(\frac{1}{2} )^{2} \\27 -\frac{1}{4} \\\\\\Answer = 26.75\\Answer = 27[/tex]

Answer:

26 3/4 God bless!

Step-by-step explanation:

Answer:

(9x - 1)²

Step-by-step explanation:

If you can tell, the square root of 81 is 9. This should be a clue that the polynomial could be one binomial squared. If you tried factoring starting out with 9x in both parenthesis, you could see that you would get (9x - 1)² as your answer.

Answer:

(9x-1)²

Step-by-step explanation:

81x² - 18x + 1= (9x)²- 2*9x+1²= (9x-1)²

Answer:

80

Step-by-step explanation:

46+15+19 which should give you a total answer of 80

Answer:

1-5: Make it 1 unit tall

6-10: Make it 4 units tall

11-15: Make it 1 unit tall

16-20: Make it 0 units tall (Change nothing)

21-25: Make it 5 units tall

Step-by-step explanation:

1-5: 1 (1 number)

6-10: 7, 9, 9, 10 (4 numbers)

11-15: 13 (1 number)

16-20: (0 numbers)

21-25: 21, 23, 23, 25, 25 (5 numbers)

Answer:

You want the curve to be decreasing from left to right since they are decreasing the amount spent so we can eliminate options 2 and 3. The initial amount (when x = 0) has to be 12 so the answer is the last option.

Answer:

Dear user,

Answer to your query is provided below

The dimensions to maximise the printed area to 2160 is length = 100cm and width = 60cm

Step-by-step explanation:

Explanation for the answer is attached in the image

Answer:

The Supreme Court.

Step-by-step explanation:

After the end of the Civil War and the enactment of the Thirteenth Amendment in 1865, slavery was officially abolished in the United States. Thus, the millions of African American slaves that inhabited the southern states of the country won their freedom and equality before the law against whites.

Now this situation began to dismember in 1877, when federal troops left the southern states and Reconstruction officially came to an end. From then on, Democratic governors and legislators began to sanction the Black Codes and Jim Crow Laws, aimed at curtailing the civil and political rights of African-Americans.

This situation was tested before the Supreme Court in 1896 in the case Plessy v. Ferguson. But in the ruling of said case, the Supreme Court established that racial segregation was constitutional and therefore neglected African Americans and their rights.

Answer:

286 degrees and 143 degrees

Step-by-step explanation:

When line intersect the two vertical angle adds up to 180 degrees

To find the other vertical angle:

180 -37=143 degrees

So for two vertical angles

we take (180*2)-(37*2)=286 degrees

Answer:

a) $12,440.43

b) $8,000.00

c) $4,440.43

Step-by-step explanation:

the question is a bit ambiguous, I calculated from zero initial Deposit to $100 per quarter. If they deposited $100 initially and then $100 quarterly for 20 years then the numbers are as follows.

a) $12,671.05

b) $8,100

c) $4,571.05

a) $12,440.43

b) $8,000.00

c) $4,440.43

Step-by-step explanation:

the question is a bit ambiguous, I calculated from zero initial Deposit to $100 per quarter. If they deposited $100 initially and then $100 quarterly for 20 years then the numbers are as follows.

a) $12,671.05

b) $8,100

c) $4,571.05