Steven is training for a race. He can currently run 1 mile in 7 minutes and wants to improve his time by 10 seconds each week until he can run one mile in 5 minutes. Which equation should Steven use to calculate the number of weeks (w) it will take him to reach his goal time of 5 minutes?
a) 7 - 10w = 5
b) 10w + 7 = 5
c) 10w - 7(60) = 5(60)
d) 7(60) - 10w = 5(60)

Answer:

c = 25m + 40

Step-by-step explanation:

Answer:

download algemator then you can find the answer

Answer:

see explanation

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

• If a > 0 then vertex is minimum

• If a < 0 then vertex is maximum

Given

y = x² + 6x + 10

(a)

To complete the square

add/subtract ( half the coefficient of the x- term)² to x² + 6x

y = x² + 2(3)x + 9 - 9 + 10

y = (x + 3)² + 1 ← in vertex form

(b)

Since a = 1 > 0 then vertex is a minimum

(c)

(h, k ) = (- 3, 1 ) ← coordinates of vertex

Answer:

AC=35

Step-by-step explanation:

Sin=opposite/hypotenuse

Sin54=AC/43

AC=43sin54

AC=34.78≈35

Answer:

2

Step-by-step explanation:

Answer:

It's 2 weve done the worksheet ;)

Step-by-step explanation:

Answer:

0.35cm

Step-by-step explanation:

Step 1

We find the volume of the container.

The formula = Length × Width × Height

Length = 20cm

Width = 30cm

Height = 50cm

The volume of the tank = 20cm × 30cm × 50cm

= 30000 cm³

Step 2

We are told that:

The tank can fill exactly 200 of these containers

We have to find the volume that 1 cylinder will contain

Hence,

200 containers = 30000 cm³

1 container = x

Cross Multiply

200 × x = 30000cm³

x = 30000cm³/200

x = 150cm³

Step 3

We find the base radius of the cylindrical tank

Height = 4m

Convert to cm

1m = 100cm

4m = x

Cross Multiply

x = 4 × 100cm = 400cm

Volume of the cylinder = πr²h

Radius = √V/πh

Radius = √150/π × 400

Radius = 0.35 cm

Therefore, base radius = 0.35cm

To be honest I don't know❤️

Answer:

B, C, D, and F are all possible.

Answer:

B, C, D

Step-by-step explanation:

1. A is not possible because right and obtuse both define triangle angles. An angle cannot be obtuse and right at the same time.

2. B is possible because a right triangle can have all sides of different length.

3. C is possible because a scalene triangle can have an obtuse angle.

4. D is possible because an isosceles triangle can have all acute angles.

5. E is not possible because of how equilateral triangles work. When a triangle is equilateral, it is also equiangular, meaning all of its angles are the same. The angles on every type of triangle always add up to 180 degrees. If a triangle is equiangular, the 180 degrees are divided evenly, with every angle being 60 degrees, which is acute. Therefore, an equilateral triangle cannot have a right angle.

6. F is not possible because isosceles and scalene both refer to the side lengths of triangles. A triangle cannot be isosceles and scalene at the same time.

7. G is not possible because equilateral triangles cannot have angles other than 60 degrees and therefore cannot be obtuse.

Answer:

30

Step-by-step explanation:

The sum of the angles in a triangle is always 180

n + 80 + 70 = 180

n + 150 = 180

n = 30º

Answer:

7

Step-by-step explanation:

Answer:

what is a COP huhhh?????

Answer:

D. y ≥ 2x – 2

Step-by-step explanation:

Graph the inequality by finding the boundary line, then shading the appropriate area.

y ≥ 2 x + 2

Graph the inequality by finding the boundary line, then shading the appropriate area.

y ≥ − 2 x + 2

Graph the inequality by finding the boundary line, then shading the appropriate area.

y ≤ 2 x − 2

Graph the inequality by finding the boundary line, then shading the appropriate area.

y ≥ 2 x − 2

Given:

The expression is:

[tex]6x^2+3x+21[/tex]

To find:

The factor of the given expression by GCF.

Solution:

We have,

[tex]6x^2+3x+21[/tex]

Here, 3 is the greatest common factor (GCF) of [tex]6x^2,3x,21[/tex].

Taking out GCF, we get

[tex]6x^2+3x+21=3(2x^2+x+7)[/tex]

Therefore, the required factor form of the given expression is [tex]3(2x^2+x+7)[/tex].

Answer:

Step-by-step explanation:

if your doisjw0= and yes it would be 35%

Answer:

I think its 2 times the original volume, im so sorry if im wrong!!

Step-by-step explanation:

Edit: I thought it was two but i guess it was 4, heres the real answer for people who were wondering, im so sorry!!

c.) 3(2x-6)

Reason:-

3(2x-6) = 6x-18

Answer:

C, D, and E are your answers

3 x 2x = 6x, 3 x 6 = 18

6x - 18

x + 5x = 6x

6x - 18

2 x 3x = 6x

2 x 9 = 18

6x - 18

Answer:

Step-by-step explanation:

Equation of the smaller circle:

Equation of the greater circle:

The scale factor is the ratio of radiuses:

So the rule is:

Correct choice is A

Answer:

[tex]\sf A. \quad (x, y) \rightarrow \left(\dfrac{7}{2}x, \dfrac{7}{2}y \right)[/tex]

Step-by-step explanation:

The distance from the center of the circle to any point on the circumference is the radius.

From inspection of the given graph:

To find the scale factor of the dilation from the small circle C to the large circle C', divide the radius of the large circle by the radius of the small circle.

Therefore, the dilation is an enlargement of scale factor ⁷/₂ about the origin.

So the rule that represents the transformation is:

[tex]\sf (x, y) \rightarrow \left(\dfrac{7}{2}x, \dfrac{7}{2}y \right)[/tex]

Check (see attached):

Point (0, 2) is on circle C.

[tex]\implies \sf (0, 2) \rightarrow \left(\dfrac{7}{2}(0), \dfrac{7}{2}(2) \right)=(0,7)[/tex]

Point (1, √3) is on Circle C:

[tex]\implies \sf (1, \sqrt{3}) \rightarrow \left(\dfrac{7}{2}(1), \dfrac{7}{2}(\sqrt{3}) \right)=\left(3.5,6.06)[/tex]

Answer:

38 bows

Step-by-step explanation:

50 ÷ 1.3 ≡ 38 6/13

38 × 1.3 = 49.4

Since you cant make 6/13 of a ribbon, Elizabeth would be able to make 38 bows.

Answer:

2

Step-by-step explanation:

Answer:

13.26cm^2

Step-by-step explanation:

Answer:

50.05 cm^2

Step-by-step explanation:

Ok so first lets find the area of the rectangle before finding the attached triangle. You have to imagine a line separating this shape into a triangle and rectangle.

The rectangle's size is 6.5x5.5=35.75 cm^2

The rectangle's size is 11.7-6.5 to get the base length, which is 5.2

The height is 5.5

So it's 5.2*5.5/2=14.3 cm^2

14.3+35.75=50.05 cm^2

Answer:

Step-by-step explanation:

The area of a rectangle can be calculated by the formula:

= Length * Width

As we have the length and the area, we can make the width the subject of the formula to solve for it:

116 = 4 * width

Width = 116/4

= 29 mm

Perimeter is:

= Length + Length + Width + Width

= 4 + 4 + 29 + 29

= 66 mm

Answer:

16

Step-by-step explanation:

8*2*1=16

Answer:

This is one of my specialties so sit back, relax while I work on this for 5 mins :)

Step-by-step explanation:

The formula is a^2 + B^2 = c^2

Sooo

7^2 + 5^2 = c^2

49 + 25 = 74

√74 = √c^2

8.60232526 = c

8.60232526 rounded to the nearest tenth is 8.6

So there you go. Hope it helps!!

Answer:

x=30m

Step-by-step explanation:

Smaller triangle of sizes 26m and 10m...

using Pythagoras rule...let the middle line that so the triangle be y...

26² = 10²+y²

26²-10²=y²

y²=676-100

y²=576

y=√576

y=24m

the middle line is now 24m

now the larger triangle of sizes 18m, 24m and x...

using Pythagoras rule...

x²=24²+18²

x²=576+324

x²=900

x=√900

x=30m

Answer:

92

Step-by-step explanation:

Max= biggest number, surely?