This list shows the age at which 43 U.S. Presidents began their terms.
57
61
50
54
54
54
56
54
61
54
48
49
42
51
61

57
68
65
50
51
60
52

57
51
52
47
56
62
69

58
49
56
55
55
43
64

57
64
46
55
51
55
46


What is the mode for presidents’ age when they begin their term?
a.
51
c.
55
b.
54
d.
57


Please select the best answer from the choices provided

A
B
C
D

Answer:

-5.5, -3.75, 9/4

Step-by-step explanation:

9/4 is 2.25 so this is your answer.

Answer:

-5.5, -3.75, 9/4

Step-by-step explanation:

Median of the set is 34, as it is the middle value of the ordered set (32, 33, 33, 33, 34, 35, 35, 36, 38).

To find the middle of a bunch of numbers, the initial step is to organize the numbers all together from least to most prominent. For this situation, the arranged set is: 32, 33, 33, 33, 34, 35, 35, 36, 38.

The middle is the center number in the arranged set. On the off chance that there is an odd number of values, the middle is the center worth. On the off chance that there is a considerably number of values, the middle is the normal of the two center qualities.

For this situation, there are nine qualities in the set, which is an odd number. The center worth is the fifth worth, which is 34. Thusly, the middle of the set is B. 34.

To confirm, we can count four qualities before 34 and four qualities after 34 in the arranged set. Since there are an equivalent number of values when the middle, we can infer that 34 is for sure the middle.

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well, keeping in mind that to draw a line all we need is two points, now, the one drawn already has many points let's pick two off of it, hmmm (-1,4) and (-6,-2).

Now, let's recall that for inverse functions, the domain of the original is the range of the inverse and the range of the original is the domain of the inverse, what does that mean? heheh, well, it simple means that for any point on the original that is say (a , b), the inverse will have a point at the flipped version of it of (b , a).  So if the orginal has the points aforementioned above, then the inverse will surely have the points of (4 , -1) and (-2 , -6), and we can just draw a line through those.  Check the picture below.

The ratio of the volume of the cylinder to the volume of the sphere = 3:1

Let take the volume of a closed cylinder as V1.

And take the volume of a closed sphere as V2.

And the radius of the cylinder = radius of the sphere = r

Height of the cylinder = h

If height of the cylinder is four times the radius of the cylinder  which means h = 4r

Volume of the closed cylinder V1 = π × r^2 × h

if h = 4r

Then V1 = π × r × r × 4r

V1= 4π × r^3

Volume of the closed cylinder V1= 4π × r^3

Volume oh the sphere V2 = 4/3 × π × r^3

The ratio of the volume of the cylinder to the volume of the sphere

= V1 / V2 = V1 : V2

V1 : V2 = (4π × r^3) ÷ (4/3 × π × r^3)

V1 : V2 = 4 ÷ 4/3 = 4/1 × 3/4 = 3/1 = 3 : 1

The ratio of the volume of the cylinder to the volume of the sphere = 3:1

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Answer:

x = 1

Step-by-step explanation:

3 (x + 1) = -2 (x - 1) + 6

Expand the brackets on both sides.

3x + 3 = -2x + 2 + 6

3x + 3 = -2x + 8

Solve for x.

3x + 2x = 8 - 3

5x = 5

x = 1

Hope this helped!

Answer:

y = - 3x + 7

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 = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (0, 7) and (x₂, y₂ ) = (2, 1) ← 2 points on the line

m = \(\frac{1-7}{2-0}\) = \(\frac{-6}{2}\) = - 3

the line crosses the y- axis at (0, 7 ) ⇒ c = 7

y = - 3x + 7 ← equation of line

The equation of the line in fully simplified slope-intercept form is y = -2.8x + 7

The linear graph represents the given parameter

For the graph, we have the points

(0, 7) and (25, 0)

A linear equation is represented as

y = mx + c

Where

c = y when x = 0

So, we have

y = mx + 7

Using the point (2.5, 0) on y = mx + 7, we have

m(2.5) + 7 = 0

2.5m + 7 = 0

Evaluate

m = -2.8

So, we have

y = -2.8x + 7

Hence, the equation of the line in fully simplified slope-intercept form is y = -2.8x + 7

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By using the concept of number line, it can be calculated that

a) g is a function

b) g(5) = 3 means after 5 flips, the person is at '3' on the number line

c) Probability that g(3) = 0 is zero

What is a number line?

All the real numbers, integers, fractions can be pictorially represented with the help of a line. The line is known as number line.

a) Here, g represents the position after the nth flip

After n flips, a person stands at only one position on the number line, not more than one. So every point on the domain has unique image. So g is a function.

b) g(5) = 3 means after 5 flips, the person is at '3' on the number line

c) The person is initially standing at zero. To move to zero position, even number of flips have to be made. But 3 is not an even number. So probability that g(3) = 0 is zero

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The length of the arc are

Arc MN =  72 degrees

Arc NQR = 180 degrees

Arc NQ = 108 degrees

Arc MRP =  193 degrees

Arc QR = 72 degrees

Arc QMR = 288 degrees

Arc PQ = 13 degrees

Arc PRN = 265 degrees

Arc MQN = 288 degrees

The relationship between central angle and intercepted arc is that they are equal. This is used in solving the length of arcs

hence we have that

angle ROQ = angle NOM =  72 degrees (vertical angles)

Arc MN = angle NOM =  72 degrees

Arc NQR = 180 degrees (semicircle)

Arc NQ

angle POQ = 180 - 72 - 95

angle POQ = 13

Arc NQ = 95 + 13 = 108 degrees

Arc MRP = 180 + 13 = 193 degrees

Arc QR = 72 degrees

Arc QMR = 360 - 72 = 288 degrees

Arc PQ = 13 degrees

Arc PRN = 360 - 95 = 265 degrees

Arc MQN = 360 - 72 = 288 degrees

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Answer:

first evening = 27 calls

second evening = 42 calls

third evening = 21 calls

Step-by-step explanation:

Total of 90 calls

f = first evening

s = second evening

t = third evening

f=t+6

s = 2t

t=t

f+s+t=90

t+6 + 2t + t

(2t+t+t)+6 = 90

4t+6 = 90

4t=84

t=21

=21+6

= 27

s = 2t

 = 42

t = t

= 21

Answer: C

Step-by-step explanation: It is C because X is greater than (>) 111, and 119 is greater than 111. Good luck on the test!  

Step-by-step explanation:

hope this will help you..

Answer:

the second to last one

Step-by-step explanation:

Sorry if it is incorrect!

Answer: X=3

Step-by-step explanation:

5x+2x+14=14x-7

7x+14=14x-7

7x-14x=-7-14

-7x=-21

x=3

Answer:

380 seconds

Step-by-step explanation:

Convert 6 minutes to seconds by multiplying 6 times 60, because there are 60 seconds per minute.
6 x 60 = 360

Now add the 20 seconds.
360 + 20 = 380

6 minutes and 20 seconds are equal to 380 seconds.

Answer:

D 0.89275

Step-by-step explanation:

Answer:

First option: 3

Step-by-step explanation:

To solve for side 'a', use the Pythagorean Theorem

a² + b² = c²

where "c" is always the longest side called the hypotenuse,

"a" and "b" are the two shorter sides called legs.

Substitute c = 5 (hypotenuse) and b = 4

a² + b² = c²

a² + (4)² = (5)²

Square the numbers you know

a² + 16 = 25

Subtract 16 on both sides to isolate 'a'

a² = 25 - 16

a² = 9

Find the square root on both sides

a = √9

a = 3

The answer is option A. ( i.e 3)... answer.

All together the number of yards of material Erin will need to sew jacket and skirt is 4 1/4 yards

From the question the following can be gotten

She needs 2 3/4 yards of material for the jacket and 1 1/2 yards of material for the skirt.

The total number of yards she will require is calculated using the addition operation

The total number of yards

Addition of fractions

= 2 3/4 + 1 1/2

= 17 / 4

= 4 1/4

The total number of yard required is 4 1/4

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Answer:

45

Step-by-step explanation:it gives you the answer chiices if you plug each number into x and then do the equation you will get 180

Answer:  45

Step-by-step explanation:

Did the test.

\({\huge{\underline{\small{\mathbb{\pink{THANK \: YOU }}}}}}

\)

The solution to the given inequality is x < 3.5. The graph that represents the solution is D.

From the question, we are to determine the graph that represents the solution to the given inequality

The given inequality is

5 + 8x < 3(2x + 4)

To determine the graph that represents the solution to the inequality, we will solve the inequality

Solving the inequality

5 + 8x < 3(2x + 4)

5 + 8x < 6x + 12

Collect like terms

8x - 6x < 12 - 5

2x < 7

Divide both sides by 2

x < 7/2

x < 3.5

Hence, the solution is x < 3.5.

The graph of the inequality is a number line from -10 to 10 with an open circle at 3.5 pointing towards the negative direction. That is, D.

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Answer:

5% Dextrose

Step-by-step explanation:

Dextrose is primarily used as a carbohydrate for nutrition and as a source of fluid. Whereas Sodium chloride is primarily used as a source of fluid and electrolytes.

A patient needs fluid and carbohydrates for nutrition. The fluid that the patient is likely to be administered is TNP. The patient needs fluid and carbohydrates for nutrition. The correct option is b.

Total parenteral nutrition (TPN) is a feeding technique that omits the digestive system. The majority of the body's nutritional requirements are met by a specific formula administered intravenously.

When a person cannot or shouldn't receive feedings or fluids orally, the technique is utilized. The term "parenteral nutrition," sometimes known as "total parenteral nutrition," refers to the practice of administering a unique type of food through a vein (intravenously).

The treatment's aim is to treat or stop malnutrition. TPN is made up of many components that are mixed together. These components include dextrose, lipid emulsions, amino acids, vitamins, electrolytes, minerals, and trace elements.

Therefore, the correct option is b, total parenteral nutrition.

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The question is incomplete. Your most probably complete question is given below:

a. protein

b. total parenteral nutrition.

c. iodine

d. fats

Answer:

Step-by-step explanation:

The sale price of the sofa is given as :

The dollar amount for the discount

Given statement solution is :- It  would cost $680 to install tile in the dining room and $315 to install carpet in the bedroom.

To find the cost of installing tile in the dining room and carpet in the bedroom, we need to calculate the areas of both rooms first.

Given:

Every 2 centimeters on the floor plan represents 1 meter of the house.

Dining Room:

On the floor plan, the dining room is 8 cm by 10 cm.

Converting this to meters, the dimensions of the dining room are 8 cm / 2 = 4 meters by 10 cm / 2 = 5 meters.

The area of the dining room is 4 meters * 5 meters = 20 square meters.

Bedroom:

On the floor plan, the bedroom is 6 cm by 10 cm.

Converting this to meters, the dimensions of the bedroom are 6 cm / 2 = 3 meters by 10 cm / 2 = 5 meters.

The area of the bedroom is 3 meters * 5 meters = 15 square meters.

Now, let's calculate the costs.

Cost of Tile:

The cost of installing tile is $34 per square meter.

The area of the dining room is 20 square meters.

Therefore, the cost of installing tile in the dining room is 20 square meters * $34/square meter = $680.

Cost of Carpet:

The cost of installing carpet is $21 per square meter.

The area of the bedroom is 15 square meters.

Therefore, the cost of installing carpet in the bedroom is 15 square meters * $21/square meter = $315.

Therefore, it would cost $680 to install tile in the dining room and $315 to install carpet in the bedroom.

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the following instructional adjustments or educational adjustments can the teacher make to best assess all of the students' understanding of multiplying two-digit numbers : Asking multiple students to share and defend their solutions before acknowledging the correct answer.

The discussion allows the teacher to observe how students solve the problems that involves multiplying two-digit numbers. It will also allow students to express themselves before they realize their answer is incorrect.

Educational Adjustments to teaching could be described as the continuing adjustments that teachers develop to adjust teaching and learning based on research in order to enhance students' attainment of intended instructional aims.

Educational Adjustments are steps or changes that facilitate students to receive educational content and results on a comparable level to facilitate students to receive educational content and results on a comparable level as their peers.

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Complete question :

Which of the following instructional adjustments can the teacher make to best assess all of the students' understanding of multiplying two-digit numbers?

1. Allowing students to write their answers on paper, then collecting the papers at the end of the lesson

2. Asking multiple students to share and defend their solutions before acknowledging the correct answer

3. Asking students who did not hold up their thumbs to share their answer and explain

4. Having Billy work the problem out on the board in front of the class

Answer:

Step-by-step explanation:

dudjdjd

Answer:

1. 2  AND  7

2. 2  AND  3

3. 2  AND  4

4. 4  AND  5

Step-by-step explanation:

1. alternate interior angles are coming in the shape of letter z and the pair will be two angles that are inside the corner of the letter Z.

2. same side interior angles are coming in the shape of letter U ( but it's more like this → I_I ) one in the right corner and the other one in the other side.

3. corresponding angles are coming in the shape of letter F one on the top corner of the letter and the other one in the bottom corner.

4.alternate exterior angles are the same as number one but the pair will be two angles that are opposite (outside) the corner of the letter Z.

Answer: the person above is right

Step-by-step explanation:

Answer:

  x = 8

Step-by-step explanation:

You want the value of x so that the function g(x) = -1/2x + 3 has the value -1.

Substitute for g(x) and solve for x:

  -1 = -1/2x +3

  -4 = -1/2x . . . . . . subtract 3

  8 = x . . . . . . . . multiply by -2

Bookworm publications can expect 2599.74 sales. The solution has been obtained by using arithmetic operations.

What are arithmetic operations?

It is believed that the four fundamental operations, often known as "arithmetic operations," may explain all real numbers. The four mathematical operations that produce the quotient, product, sum, and difference are division, multiplication, addition, and subtraction.

We are given that the sales in second year vary according to

S(x) = A₀ - (x + 600) / x²

Now, we are given that A₀ = 2600 and x = 50.

On substituting these values in the equation, we get

⇒S(50) = [2600 - (50 + 600)] / 50²

⇒S(50) = 2600 - (650 / 2500)

⇒S(50) = 2600 - 0.26

⇒S(50) = 2599.74

Hence, Bookworm publications can expect 2599.74 sales.

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Answer:

step 10 5 to the 10th power