Sofia's gym membership is $275 per year in addition to an annual locker fee of $95. What is the monthly fee? *

Answer:

x=5, y=3

Step-by-step explanation:

5^3=125

3^3=27

125+27=152

Answer:

x=5, y=3

Step-by-step explanation:

Answer:

a. h = 60t − 4.9t²

b. 12.2 seconds

c. 183.7 meters

Step-by-step explanation:

a. Given:

y₀ = 0 m

v₀ = 60 m/s

a = -9.8 m/s²

y = y₀ + v₀ t + ½ at²

h = 0 m + (60 m/s) t + ½ (-9.8 m/s²) t²

h = 60t − 4.9t²

b. When the ball lands, h = 0.

0 = 60t − 4.9t²

0 = t (60 − 4.9t)

t = 0 or 12.2

The ball lands after 12.2 seconds.

c. The maximum height is at the vertex of the parabola.

t = -b / (2a)

t = -60 / (2 × -4.9)

t = 6.1 seconds

Alternatively, the maximum height is reached at half the time it takes to land.

t = 12.2 / 2

t = 6.1 seconds

After 6.1 seconds, the height reached is:

h = 60 (6.1) − 4.9 (6.1)²

h = 183.7 meters

Answer:

C. 6x(x² + 4x - 12)

Step-by-step explanation:

Factor [tex]6x^{2}[/tex] out of [tex]6x^{4}[/tex]

[tex]6x^{2}[/tex] ([tex]x^{2}[/tex]) + [tex]6x^{2}[/tex] + [tex]24x^{3} - 72x^{2}[/tex]

[tex]6x^{2}[/tex] ([tex]x^{2}[/tex]) + [tex]6x^{2}[/tex] ([tex]4x[/tex]) [tex]-72x^{2}[/tex]

[tex]6x^{2}[/tex] ([tex]x^{2}[/tex]) + [tex]6x^{2}[/tex] ([tex]4x[/tex]) + [tex]6x^2[/tex] (-12)

[tex]6x^{2}[/tex]([tex]x^{2}[/tex] + [tex]4x[/tex]) +  [tex]6x^{2}[/tex] (-12)

[tex]6x^{2}[/tex]([tex]x^{2}[/tex] + [tex]4x[/tex] - 12 )

Answer:

-4.2 would be second.

Step-by-step explanation:

53% is .53

3/5 is .60

-4.2 is, well, -4.2

-√11 is -3.31

And -30/7 is -4.28571...

From least to greatest, it would be -30/7, -4.2, -√11, 53%, then 3/5

I hope I helped!

Answer:1.515152

Step-by-step explanation:

1000/30 = 133.3 per min

133.3x60

=8000ft to miles

=1.515152 mph

Answer:

I think the answer is C but i'm not an expert with this so sorry if you get it wrong :(

Step-by-step explanation:

Answer:

I think is c but I'm not really sure

Answer:

Step-by-step explanation:

3x^2 + x + 6x + 2

3x^2 + 7x + 2

Answer:

3x^2 + 7x + 2

Step-by-step explanation:

(x+2) (3x+1)

(x+2) (3x) + (x+2) (1)

3x^2+ 6x + x + 2

3x^2 + 7x + 2

Answer:A

Step-by-step explanation: the other dude is wrong

and if im right mark me brainiest

The best modeled by a discrete graph is body temperature of an athlete during a workout.

The correct option is (D)

A discrete graph is one with scattered points. They may or may not show a direction or trend. They don't  have data in between the points already given.

A continuous graph has a line because there is data in between the points already given.

So, according to the condition the best modeled discrete graph is body temperature of an athlete during a workout.

This is because for the body temperature measure, we only need to measure it once in a while.

Learn more about graph here:

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Answer:

15$

Step-by-step explanation:

Step 1: First determine the value of the whole amount, which is 50.

Step 2: Determine the percentage, which is 30.

Step 3: Convert the percentage 30% to its decimal form by dividing 30 into 100 to get the decimal number 0.3:

30/100 = 0.3

(Dividing into 100 is the same as moving the decimal point two places to the left.)

30.0 → 3.00 → 0.30

Step 4: Finally, find the portion by multiplying the decimal form, found in the previous step, by the whole amount:

0.3 x 50 = 15 (answer).

Hope this helps.

The answer to the problem is $35

Finding the percentage of a number 'n', we have to multiply it by the percentage to be found divided by 100, so for example, 20% of n is equal to 0.2n.

The discount percentage is the amount that we do not have to pay and hence we subtract the percentage of the discount while paying.

The discount percentage is 30%

The total price is $50, hence 30% of 50 is 0.3*50=15

So there is a discount of $15, hence the cost of a chair after the discount will be 50-15 = 35

Hence, Mary's father bought the chair for the price of 35$

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Answer:

-5x

Step-by-step explanation:

Answer:

300ft

Step-by-step explanation:

Answer:

y = [tex]\frac{1}{2}[/tex] x - 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (2, - 1) and (x₂, y₂ ) = (4, 0)

m = [tex]\frac{0+1}{4-2}[/tex] = [tex]\frac{1}{2}[/tex] , thus

y = [tex]\frac{1}{2}[/tex] x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (4, 0 ), then

0 = 2 + c ⇒ c = 0 - 2 = - 2

y = [tex]\frac{1}{2}[/tex] x - 2 ← equation of line

Step-by-step explanation:

AC = AB + BC

25x - 19 = 9x + 7 + 5x + 7

25x - 19 = 14x + 14

25x - 14x = 14 + 19

11x = 33

x = 33/11

x = 3

AB = 9x + 7

= 9(3) + 7

= 27 + 7

= 34

Answer:

8 ig

Step-by-step explanation:

u didnt tell us how much pounds they have

Answer:

Slope is -3.

Step-by-step explanation:

The equation to get the slope is y2-y1/x2-x1. So, plug in the points to the equation. -7-8/7-3 = -15/5 = -3/1 = -3.

Answer:

x = 5

Step-by-step explanation:

1-x+4x=16

1 + 3x = 16

3x = 16 - 1

3x = 15

3x/3  = 15/3

x = 15/3

x = 5

Step-by-step explanation:

Draw a right triangle with one leg value is 4 and the other leg value is 3

The triangle is attached below

To find hypotenuse , use Pythagorean theorem

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

opposite side = 4, adjacent side =3 and hypotenuse = 5

Apply trigonometric ratios

[tex]sin(A)=\frac{opposite}{hypotenuse}=\frac{4}{5}[/tex]

[tex]cos(A)=\frac{adjacent}{hypotenuse}=\frac{3}{5}[/tex]

[tex]tan(A)=\frac{opposite}{adjacent}=\frac{4}{3}[/tex]

[tex]cosec(A)=\frac{hypotenuse}{opposite}=\frac{5}{4}[/tex]

[tex]sec(A)=\frac{hypotenuse}{adjacent}=\frac{5}{3}[/tex]

[tex]cot(A)=\frac{adjacent}{opposite}=\frac{3}{4}[/tex]

Answer:

19,181 ice cream cones

Step-by-step explanation:

25,037

- 5,856

_______

i think this is what theyre asking. if needed, divide answer by 49 (the other states) which is about 391 cones

Answer:

x=3

Step-by-step explanation:

13= -2 (x+1) +7x            (given)

13+-2x - 2 +7x              (distributive property of multiplication over addition)

13 + 5x -2                     (combine like terms)

15 = 5x                         (addition property of equality)

3 = x                             (division property of equality)

Step-by-step explanation:

13=-2x-2+7x

15=5x

x=3

please mark it as brainliast

Answer:

True! All triangle angles must add up to 180 degrees, thus an angle greater than 90 degrees would only give the rest of the angles 90 degrees to work with, which would make them acute.

Step-by-step explanation:

hope this helps :)

Hope it helped

Answer:

3*3*3*3*3

Step-by-step explanation:

exponents are how many times a number is multipleid by iteself

Answer:

3*3*3*3*3 = 243

Answer:

Step-by-step explanation:

Area=1/2(bh)

b=x

height=2x-2, units meters

30=(1/2)bh

60=bh=x(2x-2)

2x^2-2x=60

2x^2-2x-60=0

x^2-x-30=0

(x-6)(x+5)=30

x=6 as only positive root.

2x-2=10

Their product is 60 m^2, half of which is 30 m^2

The base is 6 m; the height is 10 m.

Answer:

I think it's cot(135°)

Step-by-step explanation:

Cot 135° = Cot (π/2 + 45)

and,

Cot (π/2+45)= -tan (45),

because when a trigonometric ratio is impressed by using π/2 the ratio should be changed its opposite like sin value turns into a cos value, tan value turns into cot and vise versa. Then as 135° is in the second sector that means π/2<135°<π. So it should be -tan(45°)

As tan-45°= -tan 45° i think the answer is second one aka cot(135°)

The equivalent expression of tan(-45) is cot(135)

The given trigonometric expression is: tan(-45).

To do this, we make use of the following trigonometry ratio

[tex]\cot (\frac{\pi}{2}+\theta)= -\tan (\theta)[/tex]

Substitute 45 for [tex]\theta[/tex].

So, we have:

[tex]\cot (\frac{\pi}{2}+45)= -\tan (45)[/tex]

In trigonometry, [tex]\frac{\pi}{2} = 90[/tex].

So, we have:

[tex]\cot (90+45)= -\tan (45)[/tex]

Add 90 and 45

[tex]\cot (135)= -\tan (45)[/tex]

Also, we have:

[tex]\tan (-45)= -\tan (45)[/tex]

So, the equation becomes

[tex]\cot (135)= \tan (-45)[/tex]

Rewrite as:

[tex]\tan (-45) = \cot (135)[/tex]

Hence, the equivalent expression of tan(-45) is cot(135)

Read more about trigonometry equivalent expressions at:

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Answer:

B

Step-by-step explanation: