26. HOW DO YOU SEE IT?
The graph represents the height / of a
projectile after / seconds.
Height of a Projectile
Height (feet)
20
15
10
5
0
0.5 1 1.5 2 2.5
Time (seconds)
a. Is h a function of t? Explain.
b.
Approximate the height of the projectile after
0.5 second and after 1.25 seconds.
c. Approximate the domain and range.
d. Is t a function of h? Explain.

Answer:

10.8

Step-by-step explanation:

Hello!

Once, graphed, a right triangle forms, with PQ as the hypotenuse. The other two lengths are 6 and 9.

We can use the Pythagorean theorem: [tex]a^2 + b^2 = c^2[/tex]

The length of PQ is 10.8.

Answer:

0

Step-by-step explanation:

A) 1.5 (IQR) is used to identify outliers in a set of data.

What is the Interquartile range (IQR)?

The interquartile range is a measure of statistical dispersion, or the spread of the data, in descriptive statistics.

The middle 50%, fourth spread, or H-spread are additional names for the IQR.

It is described as the discrepancy between the data's 75th and 25th percentiles.

The interquartile range is the best tool to use to find all of your outliers (IQR).

Knowing the IQR makes it simple to identify outliers because it represents the middle portion of your data.

Find the median (middle value) of the lower half and upper half of the data before calculating the interquartile range (IQR).

Quartile 1 (Q1) and Quartile 3 are these values (Q3).

The IQR represents the variation between Q3 and Q1.

As it is given in the description itself, the interquartile range is the best tool to use to find all of your outliers (IQR).

Therefore, (A) 1.5 (IQR) is used to identify outliers in a set of data.

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The correct question is given below:

Which of the following is used to identify outliers in a set of data?

(A) 1.5(IQR)

(B) 1.5(range)

(C) 2(mean)

(D) 2(median)

P.s hopes this helps

Using equation, the cost of small sundae and large sundae are 4 dollars and 6 dollars respectively.

The ice cream  shop sells small and large sundaes .

One day, 30 small sundaes and 50 large sundaes were sold for $420. Another day, 15 small sundaes and 35 large sundaes were sold for $270.

Therefore,

let

x = cost of each small sundae

y = cost of each large sundae

Therefore,

30x + 50y = 420

15x + 35y = 270

multiply equation(ii) by 2

30x + 50y = 420

30x + 70y = 540

subtract equation(i) from equation(ii)

20y = 120

y = 120 / 20

y = 6

Hence,

30x + 50(6) = 420

30x + 300 = 420

30x = 420 - 300

30x = 120

x = 120 / 30

x = 4

Therefore,

cost of small sundae = 4 dollars

cost of large sundae = 6 dollars

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Answer:

always go with C- trust me its helped me alot

Step-by-step explanation:

(f+g)(x) = x2+4x−4

Explanation: add them together

f(x)+g(x)(4x+1)+(x2−5)4x+1+x2−5x2+4x−4(f+g)(x) = x2+4x−4

Answer:

w = 1

Step-by-step explanation:

You have to divide 48 by 8 to get 6, so you have to divide 8 by 8 to find w.

8/8 = 1

The measurement is closest to the length of the rectangle is √119 ft.

Pythagorean theorem states that the "square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides.

It is expressed as;

c = √( a² + b² )

Where c is the diagonal that divides the rectangle into two equal triangle, a and b are the other legs of the triangle.

Given the data in the question;

Plug the values into the formula and solve for b.

12ft = √( (5ft)² + b² )

Take the square of both sides

( 12ft )²  = (5ft)² + b²

144ft²  = 25ft² + b²

b² = 144ft² - 25ft²

b² = 119ft²

b = √( 119ft² )

b = √119 ft

Therefore, the measure of the length is √119 ft.

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There is no need of reference points to plot the graph of this function and we can select our reference range by ourselves as discussed above. The graph is attached in the end.

A function is a relation between a independent variable and a dependent variable such that the value of dependent variable depends upon the independent one. For example -

f(x) = 2x + 5

g(x) = 4x + 9

Given is function g(x) = (x - 4)² + 3

There is no need of any reference points to graph this function. You can take the reference points in a specific range. For example, you can plot the graph for the values of [x] from x = -5 to x = 5. It can be noticed that we have taken 5 - 5 points on both sides of the [x] axis. Make sure that you ensure this symmetry. Range could be any, for example from x = - 7 to 7, x = - 10 to 10 etc. The given function is -

g(x) = (x - 4)² + 3

We will plot the graph for x = -3 to x = 3

g(-3) = 52

g(-2) = 39

g(-1) = 28

g(0) = 19

g(1) = 12

g(2) = 7

g(3) = 4

Now, we will plot these coordinates on the graph. The plotted graph is attached with the answer.

Therefore, we can conclude that, there is no need of reference points to plot the graph of this function and we can select our reference range by ourselves as discussed above.

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Here given ,

   y = 3 + 34x

 We have to find height of plant after 4 days,

 so, x = 4,

by substituting x,

y = 3 + 34 x 4

   = 3 + 136

   = 139 cm

here y = 3 means,

The corresponding function when the value of y =3 .

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1. The additional information needed to prove that ΔABE ~ ΔDBC by SAS similarity is: c. AB/DB is proportional to EB/CB.

2. The additional information needed to prove that ΔABE ~ ΔDBC by AA similarity is: a. ∠A ≅ ∠D.

The SAS similarity is a triangle theorem that proves that two triangles are similar to each other if they have two pairs of sides that are proportional to each other and a pair of included congruent angles.

The AA similarity states that of two angles in one triangle is congruent to two corresponding angles in another triangle, then the two triangles are similar based on these properties they have.

1. In the triangles shown in the image, we have a pair of congruent angles based on he definition of vertical angles: ∠ABE ≅ ∠DBC

We are also given the measure of two corresponding sides. These are not enough to show the triangles are similar by the SAS similarity.

The additional information needed is: c. AB/DB is proportional to EB/CB.

2. Only one pair of congruent angles is given which is not enough to prove the triangles are congruent by AA similarity.

The additional information needed would be: a. ∠A ≅ ∠D.

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Answer:

B

Step-by-step explanation:

It is asking which graph show (x,y) for one line and (y,x) for the other line.

For example, the blue line shows (0,2) as a point and the red line shows ( 2,0) and so on and so on.

Answer:

42

Explanation:

Recall that two triangles are said to be similar if their corresponding angles are congruent and their corresponding sides are in equal proportion.

Given that triangles ABC and XYZ are similar, to be able to determine missing side length, we have to set up proportions as seen below;

Let's cross multiply;

Let's divide both sides of the equation by 5;

So the missing side length is 42

Answer:

That is my own idea and I hope it is very helpful

The slope of the line that passes through the points (-2, 2) and (-4, -1) is 3/2 i.e. 1.5 .

How can we define the slope for a given line?
A line's slope in mathematics is defined as the ratio of the change in the y coordinate to the change in the x coordinate. Both the net change in the y-coordinate and the net change in the x-coordinate are denoted by y and x, respectively. Therefore, the relationship between the change in the y-coordinate and the change in the x-coordinate is provided by the formula m = change in y/change in x = Δy/Δx, where "m" is the slope of a line.
Mathematically, slope of a line = m = (y₂ - y₁)/(x₂ - x₁)

Given, the line passes through the points (-2, 2) and (-4, -1)
Now, using the formula established in the literature, we get:
slope = m = (y₂ - y₁)/(x₂ - x₁) = (-1 - 2)/(-4 - (-2)) = -3/-2 = 3/2 = 1.5
Therefore, the slope of the line that passes through the points (-2, 2) and (-4, -1) is 3/2 i.e. 1.5 .

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Answer:

0.64 is 1 3/5% of 40

Step-by-step explanation:

From this class, the teacher wishes to selected six students. 2,2,2,2,2,3 different ways are there to selected from this class of 13 students.

Given that,

From this class, the teacher wishes to selected six students. The first chosen student will assist with media, the second will assist with pledges and flags, the third will sharpen pencils, the fourth will take attendance, the fifth will wipe the board, and the sixth will assist with the calendar.

We have to find how many different ways are there to selected from this class of 13 students.

For 13 students,

We divide like 2,2,2,2,2,3.

The first 2 student will be a media helper,

The second 2 students will be a pledge/flag helper,

The third 2 students will be a pencil sharpener,

The fourth 3 students will be attendance taker,

The fifth 2 students will be a board eraser and

The sixth 2 students will be a calendar helper.

Therefore, This many ways we can selected the students.

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The most appropriate choice for distance between numbers will be given by -

Distance between 3 and 15 is 12 units

What is distance between two numbers?

At first it is important to know about number line.

A pictorial representation of real numbers has been done along a horizontal straight line. That horizontal straight line is called number line. On a number line, all the integers has been placed at equal distance apart. In between integers, fractions, decimal numbers, rational numbers and irrational numbers can be marked. Number line can be used for addition or subtraction.

Distance between two numbers indicates how far one number is situated from other number on the number line.

Here,

Distance between 3 and 15 = 15 - 3

                                              = 12 units

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Answer: [tex]-6, 0, 14[/tex]

Step-by-step explanation:

[tex]f(2)=2^2 - 3(2)-4=-6\\\\f(4)=4^2 -3(4)-4=0\\\\f(-3)=(-3)^2 -3(-3)-4=14[/tex]

Answer:

5782

Step-by-step explanation:

td j envalentonado 8jdjdyzh d

x = 5

2x - 14 = -4

2x = -10

x = 5

Answer: 5

Step-by-step explanation: First I took away the 2 on the left which was multiplying the brackets.  Then because I did this I had to do the opposite to the other side. -4÷2

Then I just filled in the gaps 5-7=-2

Answer:

area of trapezium → 1/2 × Sum of parallel sides × Distance between them.

Area → 15in² {given}

B1 → 4in

B2 → 6in

15 = 1/2 × ( 4+6 ) × h

h = 15 × 2 ÷ 10

h = 3in

I hope it's helpful

Answer:

i wouldd but likee

Step-by-step explanation:

i didnt pay a single second of attention in math

The equation in point slope form of the line that passes through the point (1, −2)and has a slope of 3 is y = 3x - 5

We need to find the equation in point slope form of the line that passes through the point (1, −2)and has a slope of 3

The point slope form of a equation of a line is

y - y₁ = m(x - x₁)

y - (-2) = 3 (x - 1)

y + 2 = 3x - 3

y = 3x - 3 - 2

y = 3x - 5

Therefore the equation in point slope form of the line that passes through the point (1, −2)and has a slope of 3 is y = 3x - 5.

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The no. of schnauzers in the annual dog show are 20.

Assume that there are x Schnauzers at the annual dog show.

Scotties entered in the yearly dog show: x + 3

There are 2x - 5 Wirehaired Terriers entered in the annual dog show.

There are 78 dogs in all competing in the yearly dog show.

Consequently, the equation becomes

x + x + 3 + 2x - 5 = 78.

4x - 2 = 78

4x = 78 + 2

4x = 80

x = 80/4

  = 20

In the yearly dog show, there are 20 Schnauzers. I hope you can understand the process without too much trouble. It is crucial to thoroughly study the equation so that you can easily solve the issue.

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Answer:

Step-by-step explanation:

Answer:{(2, 1), (5, 1), (8, 1), (11, 1), (14, 1), (17, 1)}

Step-by-step explanation: hope this helps

The distance between the ordered pairs is 4 units

What is distance formula?

Distance formula calculates the distance between two coordinates. it calculates the straight line distance between two points. The formula can be given as [tex]distance=\sqrt{(c-a)^{2}+(d-b)^{2} }[/tex] for the coordinates (a, b) (c, d)

We are given the ordered pair (w+2,m) and (2t,c-3)

We are given the value w = 6, m = 3, t = 4 and c = 10.

Substituting the values in the pairs

We get,

(6+2,3),(2(4),10-3)

(8,3),(8,7)

We use distance formula to find the distance

[tex]d=\sqrt{(8-8)^{2} +(7-3)^{2} }\\ d=\sqrt{4^{2} }\\ d=4[/tex]

Hence the distance between the ordered pairs is 4 units.

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Linear factors are the factors of a polynomial

What went wrong is that: Tyler's linear factors are incorrect

The polynomial function is given as:

Rewrite as:

Further rewrite as:

Factorize the above polynomial

Factor out x - 1 from the polynomial

This means that:

The linear factors are x - 1 and x^2 - 8x + 15

From the given diagram, Tyler's linear factors are x - 1 and x^2 - 8x - 15

Hence, Tyler's linear factors are incorrect

The time Nancy spent working on her ela homework is equal to 2 hours.

The time Nancy spent working on her ela homework can be calculated by multiplication.

We can calculate it by multiplying the fraction of time spent by her on ela homework by the total time she spent on her homework.

As the total time spent by her on homework is 2 1/2 hours we can covert it into decimals as;

2 1/2 = 5/2 = 2.5 hours

Now multiplying it by the fraction of her time spent on ela homework,

Time spent on ela homework = 4/5 × 2.5

Time spent on ela homework = 10/5

Time spent on ela homework = 2 hours.

Hence Nancy spent 2 hours working on her ela homework.

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ANSWER: 10 ICE-CREAM SCOOPS

There are 5 icecream flavors

For each we need 2 scoops so = 2*5 = 10 scoops

therefore ther must be 10 icecream scoops in use for five flavors.

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