(a) Jasmine ran 55 miles in 4242 minutes. Part A At what rate did Jasmine run? ​Jasmine ran at a rate of minutes per mile. ​Part B Katie ran 44 miles. She ran at a rate that was 1.11.1 minutes per mile slower than Jasmine. For how many minutes did Katie run? Explain how you determined your answer. ​ ​

9514 1404 393

Answer:

  vertex: (2, -3.2)

  axis of symmetry: x = 2

  zeros: x=0, x=4

  formula for axis of symmetry:

Step-by-step explanation:

a) The vertex x-coordinate is halfway between the zeros, so is x = (0+4)/2 = 2. It is where the graph has a turning point.

The vertex y-coordinate is the low point of this graph. It is not on a grid line, so we can only guess at its value. I choose to call it -3.2.

The vertex is (2, -3.2).

__

b) The axis of symmetry is the vertical line through the vertex. The constant in its equation is the x-coordinate of the vertex:

  x = 2

__

c) The zeros of the function are where the function crosses the x-axis. These are marked on the graph with red dots. The zeros are x=0 and x=4.

__

d) When the quadratic is written in standard form, ax^2 +bx +c, the equation of the axis of symmetry is ...

  x = -b/(2a) . . . . . perhaps this is the formula you're being asked for (?)

When there is no equation, the axis of symmetry can be found from the graph a couple of ways. One is to identify the x-coordinate of the vertex.

  x = <x-coordinate of the vertex>

Another is to average the zeros, since they are symmetrical about the axis of symmetry.

  x = average of zeros = (z1 +z2)/2

If the quadratic is written in vertex form, the vertex coordinate is the constant in the equation for the axis of symmetry.

  y = a(x -h)^2 +k . . . . . quadratic with vertex (h, k)

  x = h . . . . . . equation of axis of symmetry

Answer:

The volume of the metal is:

[tex]V_{t}=548\: cm^{3}[/tex]

Step-by-step explanation:

First, let's find the volume of the front face of the square:

[tex]V_{1}=12*7*1=84\: cm^{3}[/tex]

The back face is the same, so we have:  

[tex]V_{2}=84\: cm^{3}[/tex]

The volume of the side faces will be:

[tex]V_{3}=7*10*1=70\: cm^{3}[/tex]

[tex]V_{4}=70\: cm^{3}[/tex]

And finally, the volume of the top and bottom side faces of the box will be:

[tex]V_{5}=12*10*1=120\: cm^{3}[/tex]

[tex]V_{6}=120\: cm^{3}[/tex]

The total volume of the metal will be:

[tex]V_{t}=V_{1}+V_{2}+V_{3}+V_{4}+V_{5}+V_{6}[/tex]

[tex]V_{t}=2(84)+2(70)+2(120)[/tex]

[tex]V_{t}=548\: cm^{3}[/tex]

I hope it helps you!

Answer:

The group of line segments that could form the other 2 sides of the triangle is;

B. 7 cm and 8 cm

Step-by-step explanation:

The triangle inequality theorem states that the sum of the length of any two sides of a triangle is larger than the length of the third side

The given parameter of the triangle is that the length of the longest side of the triangle = 10 cm

Let, 'a', and 'b', represent the remaining two sides of the triangle

Therefore, by the triangle inequality theorem, we have;

(1) a + b > 10 cm

(2) 10 cm + a > b

(3) 10 cm + b > a

The option that satisfies condition (1), (2), and (3) are options 'B' and 'D', for which we have;

7 cm + 8 cm = 15 cm > 10 cm

10 cm + 7 cm = 17 cm > 8 cm

10 cm + 8 cm = 18 cm > 7 cm

9 cm + 10 cm = 19 cm > 10 cm

10 cm + 9 cm = 19 cm > 10 cm

10 cm + 10 cm = 20 cm > 9 cm

Therefore, the possible combination of the other two sides are;

7 cm and 8 cm or 9 cm and 10 cm

However, a side of option 'D' is 10 cm and given that the longest side of the triangle = 10 cm, the length of each of the other two side should be less than 10 cm and the only given possible combination of the other two side should be option 'B', 7 cm and 8 cm.

Answer:

B 7cm and 8cm

Step-by-step explanation:

Answer:

2.35

Step-by-step explanation:

Answer:

2.35

Step-by-step explanation:

move decimal point left 2

Answer:

17/6

Step-by-step explanation:

Answer:

2 5/6

Step-by-step explanation:

4 1/3= 13/3

1 1/2= 3/2

lowest common denominator of 3 and 2 is 6 so:

13/3*2/2=26/6

3/2*3/3=9/6

26/6-9/6=17/6

17/6= 2 5/6

Answer:

The answer is 76.97

Step-by-step explanation:

The formula that I used

V=πr^2h

Volume = π·3.52·2 ≈ 76.96902

Answer:76.93

Step-by-step explanation:

That is a question about spatial geometry.

In our problem, we have to calculate lateral surface area of a triangular prism. Let's see how to solve this.

A triangular prism has 5 faces: 3 equals rectangles and 2 equals triangles. If we can find a way to calculate those areas, we can solve the problem.

The first thing that we should note is that we know the dimensions of the rectangular faces. The dimesions of the rectangular are 5cm and 8cm. To calculate the are of a rectangle, we multiplicate the dimensios of it. Therefore, each rectangle (in our problem) has [tex]5 \times 8 = 40cm^2[/tex] of area. There are 3 rectangles, so, the sum of the 3 rectangular area is [tex]40 + 40 + 40 = 120cm^2[/tex].

Now, we need to know the area of the triangular areas. To calculate the area of a triangle, we need to know the value of the base and the value of the height.

In the image, we know the value of the base, but we do not know the value of the height. To calculate the height, we can use the Pythagorean Theorem because we have a right triangle. (Please find attached the document.)

The Pythagorean theorem says that:

[tex]\boxed{a^2 = b^2 + c^2}[/tex]

a is the hypotenuse and b and c are cathetus.

In this right triangle, the value of the hypotenuse is 5cm and the value of one cathetus is the half of 6cm (that is 3cm). Let's replace the values in the expression:

[tex]a^2=b^2+c^2\\5^2= 3^2 +c^2\\25 = 9 + c^2\\c^2 = 25 - 9\\c^2 = 16\\c = \sqrt{16} \\c = 4cm[/tex]

Now, we know the bases and the height of the triangular areas. To calculate the area of a triangle, we multiply the base and the height and we divided the result by 2. See the expression:

[tex]\boxed{A_t=\frac{b\times h} {2}}[/tex]

b is the base and h is the height. Let's replace the values in the expression:

[tex]A_t = \frac{b\times h}{2} \\A_t = \frac{6\times4}{2} \\A_t = \frac{24}{2} \\A_t = 12cm^2[/tex]

So, each triangular area has 12cm² of area. Therefore, the sum of the triangular areas is [tex]12 + 12 = 24cm^2[/tex].

Finally, we know that the sum of the rectangular area is 120cm², and the sum of the triangular area is 24cm², so, the lateral surface area is [tex]120 + 24 = 144cm^2[/tex].

In other words, they didn't choose the correct answer because the correct answer is J) 144 cm².

I hope I've helped. :D

Enjoy your studies. \o/

Answer:

3x-1

Step-by-step explanation:

Let the area of the mint section = Length * Width

Given

Area = 6x²-2x

Length

Required

Width

A = LW

Substitute

6x²-2x = 2x(W)

2x(3x-1) = 2xW

Divide both sides by 2x

2x(3x-1)/2x = 2xW/2x

3x-1 = W

W = 3x-1

Hence the width of the mint section is 3x-1

Answer:

x >= -3

x is greater than or equal to -3

Step-by-step explanation:

Answer:

it going be -3

Step-by-step explanation:

Answer:

Oi tudo bem?

meu nome é Ana Kesia, e qual é o seu nome também?

Desculpe-me eu Nn consegui responder sua pergunta.

Mas mesmo assim, agradeço pelos pontos estava precisando.

tchau, tenha uma Ótima tarde!

Bons estudos nas suas atividades! ❤♥

Answer:  the answer is B

Step-by-step explanation:

edge 2021

Answer:

b

Step-by-step explanation:

Answer:

what is the question? please write a question.

Answer:

[tex]y = 7.3[/tex]

Step-by-step explanation:

Answer:

78qt= 19.5 U.S. gallons

Step-by-step explanation:

Answer:

Yep your very smart

Step-by-step explanation:

Answer:

yep

Step-by-step explanation:

since a triangle's total angle is 180 degrees,

(5x + 18) + (3x + 2) + (x + 16) = 180

9x + 36 = 180

9x = 144

x = 16

m<D = (3x + 2)

m<D = 3(16) + 2

m<D = 48 + 2

m<D = 50 (your answer)

It might be A

because compared to the rest, it's the odd one out. and notice that the rest are less than 100% while A is 114%

Answer: It is false

Step-by-step explanation:

2/4x3/5=3.14

1/2 x 3/5=3.14

3/10=3.14

0.3=3.14

This is false

Answer:

Hey mat its me haylee id k if you remember me cuz its been a long while and im sorry about that but id like to talk again sometime soon.

Step-by-step explanation:

Answer:

B and D

Step-by-step explanation:

a. 5t+4t =9t

b. t+5+4= t+9

c. 9t

d. 4×5×t= 20t

e. t(5+4)- do the inside the parenthesis first. =9t

the answer would me B and A because the answer isn't 9t so it would be those!! also the boxes on the right you multiply t×5 and t×4 and that would be 5t + 4t =9t

Answer:

77

Step-by-step explanation:

perimeter=150

lets name the length x

length=x

width=x-2

2[x±x-2]=150

2x±2x-4=150

4x=154

154÷4=77

x=77

The length of  the pool is 50 meters and this can be determined by using the formula of the perimeter.

Given :

The following steps can be used in order to determine the length of the pool:

Step 1 - The formula of the perimeter of the rectangle is given by:

P = 2(l + w)  

where l is the length of the rectangle and w is the width of the rectangle.

Step 2 - According to the given data, the length of  the pool is twice the width  of the pool that is:

l = 2w    --- (1)

Step 3 - Now, substitute the known terms in the formula of the perimeter.

150 = 2(3w)

150 = 6w

w = 25 meters

Step 4 - Now, substitute the value of w in the equation (1).

l = 2(25)

l = 50 meters.

For more information, refer to the link given below:

https://brainly.com/question/897975

12.56

you multiply the amount of pie with the amount of feet.

Answer:

The answer is A

Step-by-step explanation:

this isnt my answer it is someone named baylee in the comments, i tried it and it was right .

As per the given data, the slope-intercept form of the first equation is y = x - 5, which is represented by option A.

The slope-intercept form of a linear equation is y = mx + b, where m is the slope of the line and b is the y-intercept.

The equation that represents the first equation written in slope-intercept form is:

y = x - 5

To convert the equation 5x - 2y = 10 into slope-intercept form, we need to isolate y on one side of the equation.

Starting with 5x - 2y = 10:

Subtract 5x from both sides: -2y = -5x + 10

Divide both sides by -2: y = (5/2)x - 5

Now, we can simplify the expression (5/2)x - 5 to the form y = mx + b, where m is the slope and b is the y-intercept.

Therefore, the correct option is A.

For more details regarding slope-intercept, visit:

https://brainly.com/question/30216543

#SPJ7

Answer:

The months in which the income was greater than the expenses are;

June, July, and August

Step-by-step explanation:

The recorded income and expenses for the bakery are given as follows;

[tex]\begin{array}{cccc}Month&Income \ (\$)&Expense \ (\$)& Difference \ (\$)\\January&1,606&1,664.75 & (58.75)\\February&1,378&1,432.62 & (54.62)\\March&1,225&1,225.00&0.00\\June&2,381&1,995.55&385.45\\July&2,391&2,083.68&307.32\\August&2,187&1,802.63&384.37\end{array}[/tex]

From the difference values obtained in the table above, the months in which the income was greater than the expenses are;

June, July, and August

Answer:

341

Step-by-step explanation:

l=

sin52/320sin123

​ ≈340.572≈341

Based on how the graph turns out 15 years into the business is when the company made its minimal profit.

Answer:

I only know where da first one goes lol

Step-by-step explanation:

8.333333333333.... can be denoted using a fraction, therefore it's a rational number. It turns out that irrational numbers cannot be denoted using simple fractions.