During her most recent check-up, Estefania’s doctor told her that she is 150.2 centimeters tall. Her doctor also told her that has grown 8.7 centimeters taller since her previous visit. How tall, in centimeters, was Estefania during her previous visit?

Answer:

≈5.6

Step-by-step explanation:

Use ratios: 4/3 = 7.5/x

3 times 7.5 then divide by 4 to get 5.6

Let me know if this helped you out!

Based on the definition of  parallelogram, the conclusion about the quadrilateral is that: D. The quadrilateral is a parallelogram, because there are two pairs of equal slopes, and thus two pairs of parallel opposite sides.

If a quadrilateral is a parallelogram, the two pairs of opposite sides will be parallel to each other.

If two sides of a shape have the same slopes, it then means the shape is a parallelogram.

The quadrilateral that is given is said to have the following:

Two equal slopes of 5/4 and 5/4; and 2/5 and 2/5, this means the sides that have the same slope values are opposite to each other.

Since they are opposite to each other and they have the same slope, therefore, the conclusion about the described shape is: D. The quadrilateral is a parallelogram, because there are two pairs of equal slopes, and thus two pairs of parallel opposite sides.

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The required number of trials is between 71 and 73 second is 5 trials.

Given that,
Hudson runs the 400-meter dash, his finishing times are normally distributed with a mean of 70 seconds and a standard deviation of 2 seconds. If Hudson were to run 22 practice trials of the 400-meter dash,

Probability can be defined as the ratio of favorable outcomes to the total number of events.

here,
let x be the time,
According to the question,
z = x - 70 / 2 then Z ≈ N(0, 1)
71 < x < 73
71 - 70 / 2 < z < 73 - 70 / 2
1 / 2 < Z < 3/2
P[1/2 < Z < 3/2] = 0.9332- 0.691
                      = 0.2417
Now,
Required trials = 22 [0.2417] = 5.3174

Thus, the required number of trials is between 71 and 73 second is 5 trials.

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Answer:

Associative Property

Step-by-step explanation:

Associative Property is the ability to change the order of an equation, and get the same result.

For example:

(1 + 2) + 3 = 6

If you were to take this equation, and this equation:

3 + 2 + 1 = 6

These numbers are in a different order, but the answer is the same!

It goes the same way for your problem.

57/80 + 21/80 and 21/80 + 57/80.

Therefore, the property to help you would be Associative Property.

The mortar shell will strike the target in 0.02 seconds

The duration to strike the target is solved using the formula for velocity which is

= distance / time

The problem gives the distance to be 3 feet and velocity is 150ft/s

therefore

150 = 3 / time

time = 3 / 150

time = 0.02 seconds

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The height of antennas added to the main roof of the Marriott Rivercenter in San Antonio is 105 feet.

For the stated question-

Height of the main roof of Texas = 441 feet.

Height along with additional height of antennas = 546 feet.

Then,

Height of antennas = Total height - height of main roof.

Height of antennas = 546 feet - 441 feet

Height of antennas = 105 feet.

Thus, the height of the antennas added to the main roof of the Marriott Rivercenter in San Antonio is 105 feet.

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The use of volunteer sampling means that the result of the survey is potentially misleading.

Volunteer sampling is a sampling technique in which each participant in the sample opts to join the research, as is the case for this problem, as each participant opted to join in the project to compare their cold lengths.

The drawback of this type of sampling is that it should contain lots of participants that share similar characteristics, such as desiring to weight/diet, and this may influence their recovery to cold. The participants also may lie, which can cause misleading results to the study.

Options to remove misleading conclusions is to use a different type of sampling, such as stratified sampling, as groups of people that are either short or long sleepers are compared to reach a conclusion.

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Answer:

Step-by-step explanation:

Adding a constant k to the output of a linear function translates the graph vertically by k units. If k < 0 k<0 k<0, then the translation is downwards and if k > 0 k>0 k>0. Adding a constant k to the input of the function translates the graph horizontally by k k k units.

Parallel lines have the same slope.

y=2 is a horizontal line and has a slope of 0, so the line parallel to it must also be horizontal and have a slope of 0.

Horizontal lines always have the form " y = k " for some number k and every point on that line has a y-value of k.

In this case, if you want the line to go through the point (-3,4), then the equation will be  " y = 4 ", since that's the y-value of the point on the line.

Answer:

y = 4

Step-by-step explanation:

A line with the equation y = a is a horizontal line that intercepts the y-axis at (0, a).

A line parallel to a horizontal line is another horizontal line.

If a horizontal line passes through point (p, q), then its equation is y = q, where q is the y-value of the point.

Therefore, the equation of a line that passes through (-3, 4) and is parallel to y = 2 is:

The object was 334 feet in the air 9 seconds after it was launched.

The height of an object launched from the top of a hill can be modeled by the function h(t) = -16t² + 170t + 100, where t represents the number of seconds after the launch.

This function gives the height of the object in feet at any time t after the launch.

To find the height of the object 9 seconds after it was launched,

Substitute 9 for t in the function h(t) to calculate the height of the object at that time. This gives us the equation :

⇒ h(9)  = -16(9)² + 170(9) + 100

⇒ h(9)  = -16(81) + 1530 + 100

⇒ h(9)  = -1296 + 1530 + 100

⇒ h(9)  = 334 feet.

Therefore, 9 seconds after being launched, the object had reached a height of 334 feet.

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a) Yes , the variable y varies directly with x

b) The constant of variation is k = 1/3

c) The function rule is given by the equation y = x/3

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be A

Now , the values of x are in set P = { 57 , 63 , 66 }

The values of y are in the set Q = { 19 , 21 , 22 }

a)

From the data set of P and Q , we can see that when the value of y increase the value of x also increases

Therefore , the value of variable y varies directly with x

And , y ∝ x

b)

The value of variable y varies directly with x

And , y ∝ x

So , y = kx

Substituting the value for x and y from the data set , we get

The equation will be

y = kx

19 = 57k

Divide by 57 on both sides of the equation , we get

k = 19 / 57

k = 1/3

Therefore , the constant of variation k is 1/3

c)

The function rule is given by the equation

y = kx

Substituting the value for k in the equation , we get

y = ( 1/3 ) x

y = x/3

Hence ,

a) Yes , the variable y varies directly with x

b) The constant of variation is k = 1/3

c) The function rule is given by the equation y = x/3

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Answer:

its six hundred men

Step-by-step explanation:

its Six hundred men, six hundred men under my command

With only one goal in mind

Make it back alive to our homeland

Six hundred men, six hundred miles of open sea

But the problem's not the distance

It's what lies in between

And Ithaca's waiting Ithaca's waiting

My kingdom is waiting The kingdom is waiting

Penelope's waiting for me

So full speed ahead, full speed ahead

25 persons went on the expedition as the total cost was $4400.

A quadratic equation in algebra is any equation that can be written in standard form as where x stands for an unknown value and a, b, and c are known quantities. The assumption is that a > 0; equations with a = 0 are thought to be degenerate because they become linear or even simpler.

x denotes number of people

y denotes cost per person

Total cost =$4400

y = 4400 / x

15 members made the decision not to travel before the trip. The price per person went up by $66.

y +66 =4400 / (x -15)

(y +66) (x -15) = 4400

(4400/x +66)(x -15) = 4400

4400 -66000/x +66x -990 =4400

- 66000/x +66x=990

(- 66000 + 66x²) =990x

66x² - 990x - 66000 =0

x²-15x-1000=0

x =40 and x =-25 are the results of applying the quadratic formula to this quadratic equation. There is only sense in the positive x.

x- 15 =40-15=25 persons participated in the mission.

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Answer:

I believe the answer is 7 pages for 6 postcards on each page

Step-by-step explanation:

I believe the correct answer is 7 pages because

7×6=42

7 pages, 6 cards, and 42 postcards

So for Abner to scrapbook 42 cards for every 6:1 pages he will need 7 pages.

Answer:

2x-30

Step-by-step explanation:

5(x-3) = 5x-15

-3(x+5) -3x-15

(5x-15) + (-3x-15) = 2x-30

The given equation, -6 1/4x = -3 1/8, solved for is x = 1/2

From the question, we are to solve the given linear equation.

The given linear equation is

-6 1/4x = -3 1/8

To solve the equation,

First, we will convert the fractions to improper fractions

-6 1/4x = -3 1/8

-25/4x = -25/8

Multiply both sides of the equation by -4/25

-4/25 × -25/4x = -4/25 × -25/8

x = 1/2

Hence, the value of x is x = 1/2

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Answer:

Step-by-step explanation:

5x≥15

/5. /5

x≥3

On the number line we put a filled dot since it is both equal to and greater then at 3 and make it point to the right since it is greater it has to go up

Hopes this helps please mark brainliest

Answer:

Choose the bottom right ray and put it at 3.

Step-by-step explanation:

The situation that can be modeled by the linear function y = mx + b is given as follows:

D. The total income (y) of a worker who earns 8 dollars per hour depends on the number of hours (x) worked.

Situations that can be modeled by linear functions are situations in which there is a constant change per unit interval.

The example in this problem is given by option D, as for each hour worked, the rate of change is given as follows:

8 dollars.

That is, for each hour worked, the total income of the worker increases by $8, hence the slope is of:

m = 8.

Then the intercept b represents the flat pay of the worker, which is how much the worker earns no matter the amount sold.

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The initial velocity is  0 m/sec

The car speed up to 72km/h which is equivalent to  36m/sec

The acceleration of the car is 2.88 m/sec².

Acceleration is the rate of change of the velocity of an object with respect to time. Vector quantities are accelerations. Acceleration = (Final Velocity - Initial Velocity)/ Time taken

Given that car can accelerate from rest to 72km/h in 12.5 seconds. Therefore, we can write:

Initial Velocity = 0 m/sec

Final Velocity = 72 km/hr = 72×(0.50) m/sec = 36m/sec

Time taken = 12.5 second

Now, the car’s acceleration in m/s can be written as,

Acceleration = (Final Velocity - Initial Velocity)/ Time taken

(36 m/sec - 0 m/sec)/12.5 seconds

= 2.88 m/sec²

Hence, the car’s acceleration in m/s is 2.88 m/sec².

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Answer: uf

Step-by-step explanation:

1.The perimeter of a rectangle is found by adding up the length of all four sides. Since the two long sides are 12 cm, and the two shorter sides are 7 cm the perimeter can be found by:

The perimeter is 38 cm.

2.To find the perimeter of a rectangle, add the lengths of the rectangle's four sides. If you have only the width and the height, then you can easily find all four sides (two sides are each equal to the height and the other two sides are equal to the width). Multiply both the height and width by two and add the results.

hope this helps

Answer: x=12

Step-by-step explanation:

first you add 4 to both side to make it 2x=24 then you divide both side by 2 to get 12 so x=12.

Answer:

Step-by-step explanation:

Firstly you want to get x alone on one side of the equation. So to do that you move 4 to the other side of the equation. When a number crosses the equal sign, the sign (+/-) switches. Hence 2x - 4 = 20 becomes 2x = 20 +4. Which gives you 2x  = 24.  Now you can solve for x.

2x is really 2 multiplied by x. The opposite of multiplication is division so to get rid of the 2 and get x alone on one side, you divide 24 by 2.

So the equation becomes x = 24/2 (24 divided by 2)

This gives you x = 12.

I hope this helped.

The distance between the cars increasing three hours later rate (in km/h) is 70km/h.

What do you mean by distance?

Distance is the sum of an object's movements, regardless of direction. Distance can be defined as the amount of space an object has covered, regardless of its starting or ending position.

According to the given question,

We have given information:

Two cars start moving from the same point. One travels south at 56 km/h and the other travels west at 42 km/h.

Now, we will calculate the distance between the cars increasing three hours later,

S² + W² = D²

where S is the southbound car,

W is the westbound car,

D is the distance,

2 * S  dS/dt  + 2 W dW/dt = 2 D dD/dt

S  dS/dt  +  W dW/dt =  D dD/dt

In 3 hours,

S=3*56 = 168 and W = 3*42 = 126

and D = [tex]\sqrt{(168)^{2}+ (126)^{2}}[/tex] = 210

168 * 56 + 126 * 42 = 210 * dD/dt

(168 * 56 + 126 * 42) / 210 = dD/dt

dD/dt = (9408+5292)/210

dD/dt = 14700/210 = 70

Therefore, the distance between the cars increasing three hours later rate (in km/h) is 70km/h.

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Answer:

x = 10

Step-by-step explanation:

we see that the two triangle are equivalent and therefore the two angles degrees are the same

set them equal to each other

5x - 11 = 8x - 41

then solve

add 41 to both sides

5x + 30 = 8x

subtract 5x to both sides

30 = 3x

swap them

3x = 30

divide all by 3

x = 10

thats your answer

Answer:

x = 3

Step-by-step explanation:

Notice the markings in the lower two angles of the triangle. We are dealing with Angle Bisectors.

Angle Bisectors of a triangle intersect at the Incenter, which is Equidistant from the sides of the triangle (given by the perpendicular symbols).

Therefore, 2x = x+3  =>  x = 3

Answer = 1/2

9/14 = 0.64

Answer:

------------------------------

We see two graphs on the opposite sides of the x-axis.

There is no intersection, so no common points. It means there is no solution.

The number of chocolate bars that are in the vending machine are; 27 bars

We are told that the total number of chocolate bars and bags of pretzels in the vending machine is 41.

Let the number of bags of pretzels be x.

Now, we are told that number of chocolate bars is one less than twice the number of bags of pretzels. Thus;

Number of chocolate bars = 2x - 1

Thus, we can develop the algebraic expression as;

x + 2x - 1 = 41

3x - 1 = 41

3x = 42

x = 42/3

x = 14

Number of chocolate bars = 2(14) - 1 = 27 bars

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The cone that has the greatest volume is cone C

The given parameters in the question are

Cone A

Height = 10 cm

Diameter = 4 cm

Cone B

Height = 20 cm

Diameter = 4 cm

Cone C

Height = 10 cm

Diameter = 8 cm

The volume of a cone can be calculated using the following volume equation

Volume of a cone = 1/3π(d/2)²h

Where

h = height of the cone

r = radius of the cone

d = diameter of the cone

Using the above equations, we have the following computations

Volume of a cone A = 1/3π * (4/2)² * 10

Volume of a cone A = 40/3π

Volume of a cone B = 1/3π * (4/2)² * 20

Volume of a cone B = 80/3π

Volume of a cone C = 1/3π * (8/2)² * 10

Volume of a cone C = 160/3π

We can see that 160/3π is greater than 40/3π and 80/3π

Hence, cone C has the highest volume

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The number that the product and 3 is twice the sum of that number and 5 is 10.

The product of a number and 3 is twice the sum of that number and 5.

Therefore,

let

x = the number

Hence,

3 × x = 2(x + 5)

3x = 2(x + 5)

3x = 2x + 10

subtract 2x from both sides of the equation

3x = 2x + 10

3x  - 2x = 2x - 2x + 10

x = 10

Therefore, the number is 10.

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