Which graph represents this system?
Y=3
X+ y = 4

The area as a function of the height H is:

[tex]A= 9cm*H[/tex]

We know that for a triangle of base B and height H, the area is given by:

[tex]A = \frac{B*H}{2}[/tex]

In this case, we already know that the base measures 18cm, then the formula for the area as a function of the height H is:

[tex]A= \frac{18cm*H}{2} = 9cm*H[/tex]

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The algebraic equation to represent the given situation is as follows,

y = 4 + 2x

What is an algebraic equation?

The term "algebraic equation" refers to a formulation of the equality of two expressions using the algebraic operations of addition, subtraction, multiplication, division, raising to a power, and extraction of a root on a set of variables.

An expression that includes variables, constants, and algebraic operations is known as an algebraic expression in mathematics (addition, subtraction, etc.).

Forming the Algebraic Equation

Number of book present on the shelf initially = 4

It is given that 2 books are added per minute to the shelf.

If x is the number of minutes, then the books added will be 2x.

If y is the total number of books present on the shelf, then the algebraic equation is given as,

y = Number of books initially present on the shelf  + 2x

⇒ y = 4 + 2x

Thus, y = 4 + 2x is the required algebraic equation.

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Answer:

[tex]\frac{1\cdot \left(4+\sqrt{3}\right)}{\left(4-\sqrt{3}\right)\left(4+\sqrt{3}\right)}\\[/tex]

[tex]1\cdot \left(4+\sqrt{3}\right)=4+\sqrt{3}[/tex]

[tex]\left(4-\sqrt{3}\right)\left(4+\sqrt{3}\right) = 13[/tex]

[tex]= \frac{4+\sqrt{3}}{13}[/tex]

x = 4

y = 3

z = 13

Answer:

x = 4, y = 3, z = 13

Step-by-step explanation:

Multiply the equation by the opposite of the denominator

[tex]\frac{(1)(4 + \sqrt{3}) }{(4-\sqrt{3})(4+\sqrt{3} ) } \\\\\frac{4 + \sqrt{3} }{16 - 4\sqrt{3} +4\sqrt{3} -3} \\\\= \frac{4+\sqrt{3} }{13}[/tex]

Answer:

15:02 or 3:02 pm

Answer:

[tex]13.35 + 1.27 = 14.62 \\ \\1 hr = 60min \\ 62 min- 60min =2min \\ 14hr + 1hr = 15hr \\ \\it \: ends \: at \: 15.02[/tex]

a. Amount needed to wrap the outside of the rectangular mirror around = 32 inches.

b. Area of the Beau Thai's rectangular mirror around = 60 square inches.

Area of a rectangle = (l)(w), where l is the length and w is the width of the rectangle.

Perimeter of a rectangle = 2(l + w), where l is the length and w is the width of the rectangle.

a. The amount of ribbon that can be used to wrap the outside of the mirror around can be determined by using the formula for the perimeter of a rectangle.

Length of rectangular mirror = 6 inches

Width of rectangular mirror = 10 inches

Perimeter = 2(6 + 10)

Perimeter = 2(16)

Perimeter = 32 inches

Amount needed to wrap the outside of the rectangular mirror around = 32 inches.

b. The area of Beau Thai's rectangular mirror can be determined by using the formula for the area of a rectangle.

Length of rectangular mirror = 6 inches

Width of rectangular mirror = 10 inches

Area = (6)(10)

Area = 60 square inches

Area of the Beau Thai's rectangular mirror around = 60 square inches.

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Answer:

Diameter = 2 x Radius / The answer should be 6.

Step-by-step explanation:

D = 2 x 3

= 6

Answer:

d = 7.4 cm is the distance between the two cities on the map.

Step-by-step explanation:

Let d = the distance measured on the map in centimeters (cm) between any two locations and let D be the actual distance in kilometers (km) between these same two locations.

Since the scale on the map is 1 cm = 45 km, then the ratio of the distance on the map to the actual distance is equal to 1cm/45 km; therefore the quotient of any measured distance d on the map divided by the corresponding much longer actual distance D would have to maintain (equal) this same ratio; In other words, we can set up the following proportion to solve for d given the actual distance D = 333 km as follows:

1 cm/45 km = d/D

Substituting, we get:

1 cm/45 km = d/333 km

d/333 km = 1 cm/45 km

(d/333 km)(333 km) = (1 cm/45 km)(333 km)

d = (333 km/45 km)(1 cm)

d = 7.4 cm is the distance between the two cities on the map.

Check:

1 cm/45 cm = d/333 km

1 cm/45 cm = 7.4 cm/333 km

1 cm/45 cm = 1 cm/45 km (Therefore, the distance ratio of the map has been maintained

Answer:

C. 52.8 ft.

Step-by-step explanation:

Calculate the perimeter of the garden

[tex]P=2l+2w=2(15.6)+2(10.8)=31.2+21.6=52.8[/tex]

The perimeter represents the length of the fencing material she needs

Hope this helps

Answer:

52.8 if u give me brainliest tht will be so help full:)

Step-by-step explanation:

Answer:

I have just wrote answers

the correct option is : (i)

She gives each student a pretest. Then she teaches a lesson using a computer program

What is Hypothesis testing?

Hypothesis testing is the process of evaluating two frequently contradictory claims based on population data and test data.

The appropriate response is provided by choice (i).

Simply said, a hypothesis is a supposition that we form based on our perceptions.

Therefore, statistics is all about information, a vast amount of information that is as valuable to us as information if we can analyze it and eventually come to some conclusions about it. To find out interpretation and conclusions about the information we mostly use.

Therefore,

the correct option is (i)

She gives each student a pretest. Then she teaches a lesson using a computer program. Afterward, she gives each student a pretest. The teacher is interested in seeing if the disparity in results indicates an improvement.

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I understand that the question you are looking for is:

"A teacher is experimenting with computer-based instruction. In which situation could the teacher use a hypothesis test for a difference in two population means?

(i) She gives each student a pretest. Then she teaches a lesson using a computer program. Afterwards, she gives each student a posttest. The teacher wants to see if the difference in scores will show an improvement.

(ii) She randomly divides the class into two groups. One group receives computer-based instruction. The other group receives traditional instruction without computers. After instruction, each student has to solve a single problem. The teachers wants to compare the proportion of each group who can solve the problem.
(iii) She gives each student a pretest. She then randomly divides the class into two groups. One group receives computer-based instruction. The other group receives traditional instruction without computers. After instruction, each student takes a post-test. The teacher compares the improvement in scores (post-test minus pretest) in the two groups.

(iv) The teacher uses a combination of traditional methods and computer-based instruction. She asks students which they liked better. She wants to determine if the majority prefer the computer-based instruction."

Based on the above, the graph of the resultant vector is shown in the image attached  (x-axis).

In the  graph construction, We need to carry out a sum of vectors and then draw the resultant vector.

Note that the resultant vector need to be <4, 0>

Hence when we view the graph attached, we can say that the vectors areas:

w = <3, 3>

u = <-3, -4>

v = <-4, -1>

So, the sum = u - v + w

Note also that in the sum of the vectors we need to add and subtract the correspondent parts and it will be:

u - v + w

= <-3, -4> - <-4, -1> + <3, 3>

= <-3 + 4 + 3, -4 + 1 + 3>

= <4, 0>

Therefore, Based on the above, the graph of the resultant vector is shown in the image attached  (x-axis).

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Answer:

x=9.73

Step-by-step explanation:

This is trigonometry work! :)

So cos46°=x/14

          x=14×cos46°

          x≈9.73

Hope this helps <3

No, just like the average (mean) it is a mathematical quantity that is determined by its mathematical definition and the everyday meaning of “expected” is only a descriptive hint toward what it represents.

What does the expected value of a random variable mean?

Is the expected value always equal to the mean?

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Answer:

8

Step-by-step explanation:

A cube is equal on all sides. Therefore the cubes must be 3cm x 3cm x 3cm. Therefore, each cube has an area of 27cm^3. The box that the cube has an area in is 3cm x 6cm x 12 cm which = 216cm^3. If you do [tex]216cm^3/27cm^3 = 8 cubes[/tex]

Answer:

y =x - 2

Step-by-step explanation:

If the slope of the line is  'm', then the slope of the perpendicular to the given line = [tex]\sf \dfrac{-1}{m}[/tex]     (opposite reciprocal)

    y = -x - 3

Compare with equation of line in slope y-intercept form: y = mx +b

 m = -1

[tex]\sf \text{Slope of the perpendicular line = $-(\dfrac{1}{-1})= 1$}[/tex]

This line passes through (2, 0);

Equation of the line in slope - point form:

        [tex]\sf y - y_1 = m(x - x_1)[/tex]

       y  - 0   = 1 (x - 2)

            y = x - 2

Answer:

Step-by-step explanation:

419-79= 340 assignments left to do

340/7days=48.57..... or about 46 assignments a day to finish them all in a week

(1 week= 7 days)

I don't know if you were serious but good luck with all the work if you are

Answer:

47 on 6 days and 48 on 1 day.

Step-by-step explanation:

Firstly you need to subtract 79 from 419. You will have 330 assignments left and the divide 330 by 7 since there are 7 days in a week and you get 47.142 and so if you double check by multiplying 47 times 7 it gives 329 so then you get 47 on 6 days and 48 on 1 day. Hope this helps!

Answer:

2.25 ft

Step-by-step explanation:

Volume = length x height x width

54= 8 x 3 x ?

Combine: 54= 24 x ?

Find ?: 54/24=2.25

Recheck: 24 x 2.25 = 54

The sample mean value is 0.26.

According to the statement we have given that the

Monday the average time was 50 minutes and we have to find the sample mean.

So, the values become

H(not):μ≤50

H(a):μ>50

Right Tail

The significance level, of the given number of employees then

α=0.05

And The value of sample mean, is

Z=x - u/i*(n)^1/2

then the value becomes

Z = 5.6 - 5/1.2*(25)^1/2.

then after calculating

Z= 1.6/1.2*5

Z= 0.26 And

Here The value of sample mean is 0.26.

So, The sample mean value is 0.26.

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Answer:

1. Multiply the slope by 2 and look at the numerator

2. 5/7

3. slide A

4. The run of slide a is shorter which means that its steeper because the rise is the same

5. 10

6. 5 units?

Step-by-step explanation:

#1

We know

slope=tanØ

Here in slide B

But

Then

#2

The slope of slide A

#3 and 4

Compare tangents

Slide A is steeper

#5

Found in #1

#6

Slide A is higher as 15>10

Answer: D. -1(3x+2)(x+1)

Step-by-step explanation: First, use the F.O.I.L. method (First, Outer, Inner, Last). Then combine all your like terms. After, multiply the whole outcome by negative one. So, 3[tex]x^{2}[/tex] turns into -3[tex]x^{2}[/tex]; 5x turns into -5x; and 2 is -2. BOOM! you got the exact right answer.

The probability of selecting a vowel from the hat that contains slips of paper with the letters A-Z printed on them is 5/26

Probabilities are used to determine the chances, likelihood, possibilities of an event or collection of events

The given parameters are:

Letters = A - Z

Vowels = A, E, I, O and U

The above means that the number of letters and vowels are

n(Letters) = 26

n(Vowel)

The probability of selecting a vowel from the hat that contains slips of paper with the letters A-Z printed on them is

P(Vowel) = n(Vowel)/n(Letters)

Substitute the known values in the above equation

P(Vowel) = 5/26

Hence, the probability of selecting a vowel from the hat that contains slips of paper with the letters A-Z printed on them is 5/26

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Answer:

Segment UF

Step-by-step explanation:

Diameter is a line that passes through the center and meets the circumference at opposite ends.

Segments OF and WO are radii, and segment WM is a chord.

Based on the information given, the total money that is expected Kaydance save is $70300

It is known she started saving $100 and each year she saves $100 more than the previous year. Also she will save a total of 36 years. This will be equal to:

100+200+300+400+500+600+700+800+900+1000+1100+1200+1300+1400+1500+1600+1700+1800+1900+2000+2100+2200+2300+2400+2500+2600+2700+2800+2900+3000+3100+3200+3300+3400+3500+3600+3700

100+200+300... = $70300

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Answer:

A

Step-by-step explanation:

point H is the point of intersection of the perpendicular bisectors of the triangle's sides and is the circumcentre.

Answer:

A. Circumcenter

Step-by-step explanation:

this is the point that has the same distance from all 3 vertexes.

being on the median line of DE, every point of that line has the same distance to D and E.

being also on the median line of FE means it has the same distance from F and E as every other point on that line.

and the same for DF.

H as the crossing point of all 3 median lines is the only point that has the same distance to D, E and F.

so, H is the center of a circle that goes through all 3 points.

The two points are B'=(-6,-8).

To plot the points:

Plot a new point that is 8 units down and also has the same x coordinate.

Given - Point B = ( -6, 0 )

Represent the new point with B':

In Point B = ( -6, 0 )  

[tex]x=-6,y=0[/tex]

This means that B' has an x coordinate of -6.

Next, is to determine the y coordinate:

If a point (x,y) is translated b units down, the new point is (x, y, -b)

In this case:

The y coordinate of B is 0 and b = 8.

So, the new y coordinate is 0 - 8 = -8

So, we have B'=(-6,-8).

Therefore, the two points are B'=(-6,-8).

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Since ABCD is a square, and AC is the diagonal of the square, therefore, then,  angle BAC would be Option B. 45°

A square is known as a quadrilateral with four interior angles of 90° each, and four equal sides.

Properties of a square include

Angle BAC is half the angle of the diagonal

= 90/2 = 45°

Thus, since ABCD is a square, and AC is the diagonal of the square, therefore, then, angle BAC would be Option B. 45°

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Answer:

Hello!

independent variable: variable in an experiment that is changed e.g. a plant's exposure to light

dependent variable: variable in an experiment that is measured e.g. a plant's height

The question is just asking to identify these variables.

Hope this helps! Feel free to ask further questions if need be.

CD is the perpendicular bisector of another line AB which can be proven below.

Perpendicular bisector is a line that divides another line into two equal halves in such a way that it creates an angel of 90°.

To proof that CD is the perpendicular bisector of another line AB the following is carried out;

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Answer:

heres what i got

Step-by-step explanation:

2.  definition of a perpendicular bisector

5. reflexive property of congruence

11. definition of square root