On a coordinate plane, 2 lines are shown. Line H J has points (negative 4, negative 2) and (0, 4). Line F G has points (negative 4, 1) and (0, negative 2). Which statement best explains the relationship between lines FG and HJ? They are perpendicular because their slopes are equal. They are perpendicular because their slopes are negative reciprocals. They are not perpendicular because their slopes are equal. They are not perpendicular because their slopes are not negative reciprocals.

Answer:

544 + 545 + 546 + 547

explanation: if the numbers are consecutive whole numbers then it would be near the ¼ of the given number

Answer:

[tex]\large \boxed{\sf \ \ y=-2 \ \ }[/tex]

Step-by-step explanation:

Hello,

To guess the end behaviours when x tends to [tex]\infty[/tex] you only take into account the highest terms of polynomial expressions.

So the expression will be equivalent to

[tex]\dfrac{-2x^2}{x^2}=-2[/tex]

In other words we can say

[tex]\displaystyle \lim_{x\rightarrow+\infty} \dfrac{-2x^2+3x+6}{x^2+1}=\lim_{x\rightarrow+\infty} \dfrac{-2x^2}{x^2}=-2\\\\\displaystyle \lim_{x\rightarrow-\infty} \dfrac{-2x^2+3x+6}{x^2+1}=\lim_{x\rightarrow-\infty} \dfrac{-2x^2}{x^2}=-2\\\\[/tex]

So, the correct answer is y = -2

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

Step-by-step explanation:

Hello!

The box plot is a graph that shows the summary of a data set.

If for example the graphic is on the side:

Box

The left limit of the box is determined by the first quantile of the data set Q₁= 57

The right limit of the box is determined by the third quantile Q₃= 112

The vertical line inside the box represents the second quantile or median Me= 88

Depending on of the symmetry of the distribution you may find it in the middle of the box (symmetrical distribution), closer to the left limit (right skewed) or closer to the right limit of the box (left skewed)

Whiskers

The whiskers of the graphic are a line between the first quantile and the minimum value and the third quantile and the maximum value.

Left whisker  goes from Q₁ to the minimum value min= 40

Right whisker goes from Q₃ to the maximum value max= 120

I hope this helps!

Answer:

for the people who don't understand, its A

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

● cos O = 2/3

We khow that:

● cos^2(O) + sin^2(O) =1

So : sin^2 (O)= 1-cos^2(O)

● sin^2(O) = 1 -(2/3)^2 = 1-4/9 = 9/9-4/9 = 5/9

● sin O = √(5)/3 or sin O = -√(5)/3

So we deduce that tan O will have two values since we don't khow the size of O.

■■■■■■■■■■■■■■■■■■■■■■■■■

●Tan (O) = sin(O)/cos(O)

● tan (O) = (√(5)/3)÷(2/3) or tan(O) = (-√(5)/3)÷(2/3)

● tan (O) = √(5)/2 or tan(O) = -√(5)/2

The Answer is A.)

A picture of my answer

Answer:

The original width was 94.71 cm

Step-by-step explanation:

Given:

new smaller area = 1.2m^2

Decrease in length of the rectangular sheet = 34.5cm

Therefore:

1. the final width of the sheet is given as

2X^2 = 1.2 m^2

X^2 - 0.6 m^2

X^2 = 10000 * 0.6 cm

X = 77.46 cm (this is the width)

2. The length of the sheet

= 2 * 77.46

= 154.92 cm.

3. Initial length of the sheet

= 154.92 + 34.5

= 189.42 cm.

4. Initial width of the sheet ( original ).

= 189.42 / 2

= 94.71 cm.

5. Initial area of the sheet

= 94.71 * 189.92

= 17939.9 cm^2

New area of the sheet

= 79.46 * 154.92

= 12000.1 cm^2

Difference between the initial and new area

= 17939.9 - 12000.1

= 5939.86 cm^2

Percentage of area decrease

= 5939.86 ' 17939.9

= 33.1%

Answer:

y= [tex]\sqrt{x}[/tex]

Step-by-step explanation:

Answer:

The measure of the angle of each of the intercepted arc is 180°

Step-by-step explanation:

An intercepted arc is an encased (between chords) portion of the circumference of the circle. The chords that form the intercepted arc meet at a point

An inscribed angle is the angle is an angle formed between two chords that meet at a point called the end point

For the inscribed square, the symmetry has it that the diagonal is the same as the diameter of the circle as the diagonals bisect each other having equal distances on either side to the circumference of the circle.

Given that the angles in the vertices of the square are 90° and the point of intersection of the two chords forming the vertex are at the ends of the diameter of the circle, which passes through the center of the circle, the angle 90° at the vertex is half the angle at the center which is the angle of the intercepted arc

∴ The measure of the angle of each of the intercepted arc = 2× 90 = 180°.

Answer:

a) 20 students

b) 20 students

Step-by-step explanation:

a) From the given frequency table, we have to check the number of students that scored above 73.5 and add them up.

Therefore, the number of students that have grades above 73.5 are:

14 + 4 + 2 = 20 students

b) 75 falls in between 74 - 76 and we do not have the individual frequencies of the grades (74, 75, 76).

However, we can use the data we have from the table to make an assumption.

The number of students that have grades below 75 will be:

13 + 5 + 2 = 20 students

Answer:

Find the area of all the shapes

Length x width = area

10 x 3 = 30

6 x 3 = 18

6 x 3 = 18

6 x 10 = 60

3 x 10 = 30

6 x 10 = 60

Add them all up

30 + 18 + 18 + 60 + 30 + 60 = 216 cm^2

Hope this helps

Step-by-step explanation:

Answer:

x = 5.7 units

Step-by-step explanation:

By applying Sine rule is the triangle XYZ,

[tex]\frac{\text{SinX}}{\text{WY}}=\frac{\text{SinY}}{\text{WX}}=\frac{\text{SinW}}{\text{XY}}[/tex]

[tex]\frac{\text{SinX}}{\text{x}}=\frac{\text{SinY}}{\text{y}}=\frac{\text{SinW}}{\text{10}}[/tex]

[tex]\frac{\text{Sin33}}{\text{x}}=\frac{\text{SinY}}{\text{y}}=\frac{\text{Sin107}}{\text{10}}[/tex]

[tex]\frac{\text{Sin33}}{\text{x}}=\frac{\text{Sin107}}{\text{10}}[/tex]

[tex]x=\frac{10\times(\text{Sin33})}{\text{(Sin107)}}[/tex]

x = 5.69

x ≈ 5.7 units

Answer:

Step-by-step explanation:

This problem can be solved by applying the permutation strategy since it has to do with the number of ways of selection

Given

Number of items= 3

Therefore 3!= 3*2*1= 6

Hence the number of ways they can distribute the shirt among themselves is 6 ways

Answer:

67 units^2

Step-by-step explanation:

The surface area of the prism is found by

SA = 2 ( lw+lh + wh)

     = 2 ( 5*1.5+ 4*1.5 + 5*4)

     = 2 ( 7.5+6+20)

     = 2 (33.5)

    = 67

Answer:

67units²

Step-by-step explanation:

Answer:

1. True

2. False.

3. True.

Step-by-step explanation:

1. The total area within any continuous probability distribution is equal to 1.00: it is true because the maximum probability (value) is one (1), therefore, the total (maximum) area is also one (1).

Hence, for continuous probability distribution: probability = area.

2. For any continuous probability distribution, the probability, P(x), of any value of the random variable, X, can be computed: False because it has an infinite number of possible values, which can not be counted or uncountable.

Hence, it cannot be computed.

3. For any discrete probability distribution, the probability, P(x), of any value of the random variable, X, can be computed: True because it has a finite number of possible values, which are countable or can be counted.

Hence, it can be computed.

Each year, your account is multiplied by 1.05 (5% increase). Thus, after 5 years, your account would have been multiplied by that value 5 times.

[tex](1.05)^5=1.27628...[/tex]

Thus, the total percent increase would have been 27.6% (rounded to the nearest tenths).

Answer:

B.

Step-by-step explanation:

The null hypothesis will say that the mean is equal to what it is supposed to be. In this case, each box is supposed to have 24.3 ounces of cereal.

So, your null hypothesis would be that the average is equal to 24.3, or H₀ = 24.3. B.

Hope this helps!

Answer:

Solve one of the equations for y, take that answer and plug into the second equation in place of y. Then solve for x.

Step-by-step explanation:

Need equations if you want actual answer

Answer:

okay... Thanks have a great day!

answer = no it does not measure a rate

Answer:

NO

Step-by-step explanation:

Percent is just a number out of 100

Apply the rule x^m/n = nsqrt(x^m)

(2) ^x/12 = 12sqrt(2^x)

The answer is the 3rd choice

Answer:

See below.

Step-by-step explanation:

We want to find the unknown angle and we know the sides opposite to it and the hypotenuse. Therefore, we can use sine.

Recall that sine is the ratio of the opposite to the hypotenuse:

[tex]\sin(\theta)=opp/hyp[/tex]

Plug in the numbers. The opposite is 20 and the hypotenuse is 55.

[tex]\sin(\theta)=20/55[/tex]

Solve for theta (use a calculator):

[tex]\sin(\theta)=20/55\\\theta=\arcsin(4/11)\\\theta\approx21.23\approx21\textdegree[/tex]

Answer:

hello your question lacks some information below is the complete question

Suppose you are designing a cardboard box that must have a volume of  27 cubic feet. The cost of the cardboard is ​$0.15 per square foot. What is the most economical design for the box​ (one that minimizes the​ cost), and how much will the material in each box​ cost?

Answer : Box design , $8.1 ( cost of material in each box)

Step-by-step explanation:

Volume of cardboard box = 27 cubic feet

cost of cardboard = $0.15 square feet

i) The most economical design for the box would be Designing a square box because the dimensions of the box would be [tex]\sqrt[3]{27}[/tex] = 3 ft

ii) The cost of the material for each box can be calculated as

= surfaces * surface area * cost per square foot

= 6 * 3^2 * $0.15

= $8.1

Answer: x ≥  -5

Step-by-step explanation:

First, let's see how the function f(x) = IxI works:

if x ≥ 0, IxI = x

if x ≤ 0, IxI = -x

Notice that for 0, I0I = 0.

Ok, we want that:

|x+5| = x+5

Notice that this is equivalent to:

IxI = x

This means that  |x+5| = x+5 is only true when:

(x + 5) ≥ 0

from this we can find the possible values of x:

we can subtract 5 to both sides and get:

(x + 5) -5 ≥ 0 - 5

x ≥  -5

So the graph in the number line will be a black dot in x = -5, and all the right region shaded.

something like:

-7__-6__-5__-4__-3__-2__-1__0__1__2__3__4__ ...

Answer:

mM = 113 and mN = 61

Step-by-step explanation:

In a Cyclic quadrilateral, the rule states that:

The sum opposite interior angles is equal to 180°

In the above diagram, we have cyclic quadrilateral KLMN

According to the rule stated above:

Angle K is Opposite to Angle M

So, Angle K + Angle M = 180°

Angle K = 67°

67° + Angle M = 180°

Angle M = 180° - 67°

Angle M = 113°

Angle L is Opposite to Angle N

so Angle L + Angle N = 180°

Angle L is given as = 119°

119° + Angle N = 180°

Angle N = 180° - 119°

Angle N = 61°

Therefore, Angle M = 113° and Angle N = 61°

Answer:

x = 1, y = 6

Step-by-step explanation:

y = 6x

2x + 3y = 20

Plug y as 6x in the second equation and solve for x.

2x + 3(6x) = 20

2x + 18x = 20

20x = 20

[tex]\frac{20x}{20}= \frac{20}{20}[/tex]

x = 1

Plug x as 1 in the first equation and solve for y.

y = 6(1)

y = 6

Answer:

y=6 , x=1

Step-by-step explanation:

y=6x

2x+3y=20

Substitute 6x into y because y=6x.

2x+3(6x)=20

2x+18x=20

20x=20

x=1

Then subsitiute 1 into the first equation in x value

y=6(1)

y=6

Answer:

A. 2

Step-by-step explanation:

Well let’s first graph the following,

[tex]x^2 + y = 8[/tex]

[tex]x=y[/tex]

So on the graph the system of equations only have 2 real solutions which are

(-3.272, -3.272) (2.372,2.372)

Answer:

14,7

Step-by-step explanation: if it is being divided by 2 it is 14 and 7

Answer:

x = 4

Step-by-step explanation:

The y- intercept is the value of the x- coordinate where the line crosses the x- axis.

Given the line crosses the x- axis at (4, 0 ), then

the x- intercept is x = 4

Answer:

(6x + 1)^2.

Step-by-step explanation:

1 + 12x + 36x^2

= 36x^2 + 12x + 1

= (6x + 1)(6x + 1)

= (6x + 1)^2.

Hope this helps!

Answer:

[tex](6x+1)^2[/tex]

Step-by-step explanation: