Given f(x), match each expression to its correct value

If you swim diagonally across the rectangular pool, the distance you swim is 10 meters.

Given the following data:

To determine the distance you swim in meters, we would apply Pythagorean's theorem since the width is along the x-axis while the length is along the y-axis.

Note: The diagonal side of the rectangular pool represents the hypotenuse.

Mathematically, Pythagorean's theorem is given by the formula:

[tex]Hypotenuse^2 = Opposite^2 + Adjacent^2[/tex]

Substituting the given parameters into the formula, we have;

[tex]Hypotenuse^2 = 6^2 + 8^2\\\\Hypotenuse^2 = 36+64\\\\Hypotenuse^2 = 100\\\\Hypotenuse = \sqrt{100}[/tex]

Hypotenuse = 10 meters.

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Answer:

5 miles

Step-by-step explanation:

add the points together.

it seems like each point is how many miles they ran each day.

1/4 + 2(1/2) + 3/4 + 3(1) = 5

The minimum initial deposit Arthur must make is $ 4.24.

Since Arthur is saving money to buy a used car in 8 months, and the car costs $ 2,180, and Arthur plans to start with an initial deposit and then deposit 25% more than the previous month until he has enough money to buy the car, to determine what is the minimum initial deposit Arthur must make the following calculation should be performed:  

Therefore, the minimum initial deposit Arthur must make is $ 4.24.

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Answer:

07

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

V = 5

I = 1

V + I + I = 5 + 1 + 1 = 7

Hope that helps

Answer:

9x+4=5x+12

9x-5x=12-4

4x=8

x=2

Hey there!

Solve for x :

x = 2 ✅

9x + 4 = 5x + 12

>> Substract 4 from both sides :

9x + 4 - 4 = 5x + 12 - 4

9x = 5x + 8

>> Substract 5x from both sides :

9x - 5x = 5x - 5x + 8

4x = 8

>> Divide both sides by 4 :

4x / 4 = 8 / 4

x = 2

Therefore, your answer is x = 2.

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There is a probability of 77% that the mean of this sample is between 19.25 hours and 21.0 hours

Z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:

[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} } \\\\where\ x=raw\ score,\mu=mean,\sigma=standard\ deviation,n=sample\ size[/tex]

Given that μ = 20, σ = 7, n = 125.

For x = 19.25:

[tex]z=\frac{19.25-20}{7/\sqrt{125} } =-1.20\\\\\\For\ x=21:\\\\z=\frac{21-20}{7/\sqrt{125} } =0.62[/tex]

From the normal distribution table, P(-1.20 < z < 0.62) = P(z < 0.62) - P(z < -1.2) = 0.8849 - 0.1151 = 0.7698 = 77%

There is a probability of 77% that the mean of this sample is between 19.25 hours and 21.0 hours

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Answer:

y=-2/5x+21/5

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(3-5)/(3-(-2))

m=-2/(3+2)

m=-2/5

y-y1=m(x-x1)

y-5=-2/5(x-(-2))

y-5=-2/5(x+2)

y=-2/5x-4/5+5

y=-2/5x-4/5+25/5

y=-2/5x+21/5

Answer:

Step-by-step explanation:

As BA = BC, this is an isosceles triangle and the angles adjacent the equal length legs are also identical.

∠C = ∠A = 56°

B = 180 - 2(56) = 68°

Answer:

56°

Step-by-step explanation:

It is because Angle A = Angle C,since triangle ABC is isosceles triangle are equal

Answer:

8200/1000 = 8.2 so each time a class sells 8.2 bars, they receive 1 dollar.

If a class sold 16 bars, the class receives 2 dollars, if it sold 82 bars, it receives 10 dollars and so on.

Answer:

13 1/3 cups of sugar

Step-by-step explanation:

Answer:

y-4=4(x-1)

Step-by-step explanation:

y=4x

The slope of the equation = m = 4

when x=1

y=4(1)

y=4

we get point from the equation which is (1,4)

point-slope formula = y-y₁=m(x-x₁)

*plot the the point we get and the slope in the formula above

= y-4=4(x-1)

An equation in point-slope form to find the perimeter y of a square with side length x is y-4=4(x-1).

Given that, the perimeter of a square is four times the length of one side.

The point slope form is used to find the equation of the straight line which is inclined at a given angle to the x-axis and passes through a given point.

The equation of the point slope form is: (y - y1) = m(x - x1)

where, (x, y) is a random point on the line and m is the slope of the line.

The equation is y=4x

If the side length of a square is 1 centimeter, then y=4

So, the coordinate point is (1, 4)

The slope of an equation y=4x is 4

Put (x1, y1)=(1, 4) and m=4 in slope intercept form

That is, slope intercept form is y-4=4(x-1)

Therefore, an equation in point-slope form to find the perimeter y of a square with side length x is y-4=4(x-1).

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Answer:

  ΔRUP ≅ ΔRSQ by ASA

Step-by-step explanation:

Angle SRQ is congruent to angle URP by the reflexive property of congruence. The angles at U and S are already marked congruent, as are sides UR and SR. That means we have two angles and the side between them congruent for the two triangles:

  ΔRUP ≅ ΔRSQ by ASA

Step-by-step explanation:

Given line:

Compare this with the slope-intercept form:

The slope is:

Y-intercept is:

As a point on the line it has coordinates (0, - 11)

Answer:

Hope this helps!

Step-by-step explanation:

The slope is:

m = 2/5

Y-intercept is:

b = - 11

The coordinates on the line are: (0, - 11)

Answer:

i dont now

Step-by-step explanation:

Answer:

the domain is {7,-4,1,4,}

the range is {1,-5,2,-7}

Step-by-step explanation:

Answer:

40 feet

Step-by-step explanation:

on edge

Answer:

55

Step-by-step explanation:

Answer:

x=7

Step-by-step explanation:

3.5/3= 1.1666666666

6*1.16666666= 7

x=7

Answer:

HH sheikh Zayed road Dubai UAE Tel Aviv university of California Berkeley

Answer:

It is C. 500 tablets in a bottle for 13.42

Step-by-step explanation:

9.50/50 = 0.19 cents per individually wrapped pain reliver tablets.

6.32/100 = 0.06 cents per tablets in a bottle.

13.42/500 = 0.02 cents per tablets in a bottle.

The equations and the number of hotdogs and sodas sold are:  x+ y = 126 and 2.25x + 1.50y = 225.75 ; 49 hot dogs and 77 sodas.

Two equations can be derived from this question:

2.25x + 1.50y = 225.75 equation 1

x + y = 126 equation 2

Where:

x = number of hotdogs sold

y = number of soda sold

In order to determine the value of y, multiply equation 2 by 2.25

2.25x + 2.25y = 283.50 equation 3

Subtract equation 1 from 3

57.75 = 0.75y

y = 77

Substitute for y in equation 2

x + 77 = 126

x = 49

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Answer:

The correct answer is A) x + y = 126 and 2.25x + 1.50y = 225.75 ; 49 hot dogs and 77 sodas

Step-by-step explanation:

hope this helps

Answer:

The y-intercept is 1.

Step-by-step explanation:

The y-intercept is where a line crosses the y-axis, so from looking at the graph, we can see that it crosses at (0,1), giving you a y-intercept of 1.

Answer:

hello which grade question i

Given that

log √x (x) + log c² (c)

⇛ log x^1/2 (x) + log c² (c)

We know that

log a^m (b^n) = m/n log a (b)

⇛ 1/2 log x (x) + 2 log c (c)

We know that

log a ( a) = 1

⇛ (1/2)(1) + 2(1)

⇛ (1/2)+2

⇛ (1+4)/2

⇛ 5/2

Answer:- log √x (x) + log c² (c) = 5/2

[(x) ,(c) , (a) represents the bases ]

Additional comment:

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simplify the following expression. log(x2) - log(x) A. log(x^2+x) B. log(x^3) C. log(x^2-x) D. log(x)....

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Answer:

1 days= 24 hrs

3 days = 3×1 days

= 3×24 hrs

= 72 hrs

Answer: You didnt give the 2 equations.

Step-by-step explanation:

35 - 45 / 9 x 5

Divide 45 by 9 to get 5.

35 - 5 x 5

Multiply 5 and 5 to get 25.

35 - 25

Subtract 25 from 35 to get 10.

= 10

Answer:

C

Step-by-step explanation:

log5- klog2= log5-log2^k = log(5/2^k)