Mathematics High School

The shortest known adult woman is about 24 inches tall and tallest known adult woman is about 92 inches tall. Write an absolute value equation that represents the minimum and maximum heights. Use x to represent the heights.

Answers

Answer 1

24inch[less than and equal to sign]x[less than and equal to sign]92inch

Answer 2

Answer:

An absolute value equation that represents the minimum and maximum heights 24 ≤ x ≤ 92.

Step-by-step explanation:

First we have to know about the middle number. The middle number between 24 and 92 is :

[tex]\frac {(24+92)}{2}= 58.[/tex]

Now positive difference is: 58-24=34 and 92-58=34.

Thus the height of a woman x, can vary at most 34, from 58. That is the height of a woman can be 34 ft less or more than 58.

In absolute value notation this is expressed as:

x-58≤34

what this means is that:

x-58≤34 or 58-x≤34

Further solving the equation gives: |x-58|≤34 ;

24≤x≤92

Related Questions

Tom deposited $2410 in a bank that pays 12% interest, compounded monthly. Find the amount he will have at the end of 3 years

Answers

the answer is $3448.15

The formula is
A=p (1+r/k)^kt
A future value?
P present value 2410
R interest rate 0.12
K compounded monthly 12
T time 3years
A=2,410×(1+0.12÷12)^(12×3)
A=3,448.15

Hope it helps!

Choose all the sets containing the number Pi:

natural numbers

whole numbers

integers

rational numbers

irrational numbers

real numbers

Answers

Answer:

The set containing Pi is:

Irrational numbers.Real numbers.

Step-by-step explanation:

We have to classify the number "pi" or π.

We know that:

Pi is the ratio of a circumference of a circle to it's diameter.

Pi is an irrational number i.e. it could not be represented in the form of p/q where p is an integer and q is a natural number.

However we sometimes take pi to be 22/7 ; but it's not exactly the same it's just a close approximation.

Hence, we may classify Pi as:

Irrational number.

Also irrational number comes in the category of real numbers.

Hence, Pi is also a real number.

( As real numbers are divided into two category:

1. Rational number

2. Irrational number

Also Rational number contains whole numbers, integers and whole numbers)

Using the number sets, the correct options are:

irrational numbers real numbers

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

Whole numbers: Set of numbers including all positive numbers and 0, so: {0,1,2,...} Integer numbers: Number without decimals, that can be positive of negative, so: {...,-2,-1,0,1,2,....} Rational numbers: Integer plus decimals that can be represented by fractions, that is, they either have a pattern, or have a finite number of decimal digits, for example, 0, 2, 0,45(finite number of decimal digits), 0.3333(3 repeating is the pattern), 0.32344594459(4459 repeating is the pattern). Irrational numbers: Decimal numbers that are not represented by patterns, that is, for example, 0.1033430290339. Real numbers: Rational plus irrational.

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

The number [tex]\pi = 3.1415...[/tex] is a decimal number without repetition, that is, it has infinite decimal places, thus it is irrational.Irrational numbers are also real.Thus, the correct options are irrational and real.

A similar problem is given at https://brainly.com/question/10814303

Suppose that there are eight corporations competing for nine different contracts. If the contracts are awarded randomly, what is the probability that each corporation will get at least one contract?

Answers

Final answer:

To find the probability that each corporation will get at least one contract out of eight corporations competing for nine different contracts, we can use the concept of permutations and the principle of inclusion-exclusion.

Explanation:

To find the probability that each corporation will get at least one contract, we can use the concept of permutations. Since there are 8 corporations and 9 contracts, we can calculate the total number of ways to assign the contracts to the corporations without any restrictions, which is 9! (9 factorial).

Next, we need to find the number of ways that each corporation gets at least one contract. This can be calculated using the principle of inclusion-exclusion. We subtract the number of ways that at least one corporation doesn't get a contract from the total number of permutations.

The number of ways that at least one corporation doesn't get a contract can be calculated by assigning 9 contracts to 7 corporations, which is 7! (7 factorial).

Finally, we can calculate the probability by dividing the number of ways that each corporation gets at least one contract by the total number of permutations:

Probability = (9! - 7!) / 9!

At 7p.m last night the temperature was 10 °f at 7
a.m. the next morning the temperature was -2 by how much did the temperature change from 7 p.m. to 7
a.m.?

Answers

10+2=12
The answer is 12

A company make concrete bricks shaped like rectangular prisms.

Answers

Each brick contains 10*9*4=360 inches cubed. Since 1 brick = 360in³, we want to know how much 360in³ goes into 18000in³ (or how many bricks go into 18000in³). To do this, we simply divide 18000in³ by 360in³ to get 50 bricks

x - 32 = 73 what dose x equal

Answers

x - 32 = 73

to get x add 32 to 73

32 +73 = 105

x = 105

x=105
you need to add 32 to both sides

Use a table to compute the product below. (x2 + x + 9)(x - 6) A. x3 - 5x2 + 3x - 54 B. x3 - 5x2 - 3x - 54 C. x3 - 6x2 + 3x - 54 D. x3 - 7x2 + 3x - 54

Answers

A. x3 - 5x2 + 3x - 54

Im gonna have to go with A for you mate

Cammie goes to the gym to exercise 4 times per week altogether how many times does she go t the gym in 10 weeks?

Answers

She`ll go 40 times by ten weeks

To do this we need to add 4 for every week she goes to the gym. We know repeated addition is multiplication:

4*10 = 40 times

Hope this helps!

The measure of an obtuse angle is represented by the expression 2x + 5. What is a possible value for x?

90 < obtuse < 180

answer choices

87.6
42.3
75.4
35.2

Answers

To answer this, you have to replace each of the choices to x in the equation. If the answer is between 90° and 180°, then that is an obtuse angle which is the correct answer.

A. 2(87.6)+5 = 180.2°
B. 2(42.3)+5 = 89.6°
C. 2(75.4)+5 = 155.8°
D. 2(35.2)+5 = 75.4°

Therefore, the answer is letter C.

Which of the following expression simplifies to 4/15?
A. -2/3-2/5
B. -2/5+2/3
C. -2/3 +2/5
D. 2/5+2/3
Answer quick plz

Answers

B -2/5+2/3

I'm good with fractions :D

PLEASE HELP!
I will give you a 5 star rating and thanks

Answers

original coordinates are

A (0,3)

B(-1,1)

C(2,1)

so add 3 to the x's and subtract 3 from the y's

A becomes (3,0)

B becomes (2,-2)

C becomes (5, -2)

Answer:

i dont know either sorryyyyyyyy

Step-by-step explanation:

Which of the following demonstrates the commutative property across multiplication for 2 × 10 × 7

Answers

10*7*2 would be one answer, the commutative property states that a+b = b+a, meaning that no matter what order the numbers are in it still equals the same thing

Answer:

2 × 10 × 7 = 7 × 10 × 2.

Step-by-step explanation:

Given : 2 × 10 × 7

To find : Which of the following demonstrates the commutative property across multiplication.

Solution : We have given 2 × 10 × 7

By the commutative multiplication property : a × b × c = c× b × a.

Example : 1 * 3 * 5 = 5 *3 *1

15 = 15.

So, 2 × 10 × 7 = 7 × 10 × 2.

140 = 140

Therefore, 2 × 10 × 7 = 7 × 10 × 2.

solve for p −160=22+8(3p−4)

Answers

p = 5.6 repeating, repeating bar over the 6

3rd grade math explain how you know if a number can be divided by 10 evenly

Answers

Look at the last digit. If the last digit is 0, then the number can be divided by 10 evenly (without a remainder).

In order to know if a number can be divided by 10 evenly, then such a number must end with a zero.

In order to determine the number(s) that can be divided evenly;

The last digit of the number must be zero.

For instance, given the numbers 450, 130, 100

Note that they all end in zeroThey can be divided by 10 without remainder.450/10 = 45, 130/10 = 13, 100/10 = 10

Hence in order to know if a number can be divided by 10 evenly, then such a number must end with a zero.

Learn more here: https://brainly.com/question/2239179

What is the mid point of (-4,-6), (3,-6)

Answers

[tex]\bf \textit{middle point of 2 points }\\ \quad \\ \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) &({{ -4}}\quad ,&{{ -6}})\quad % (c,d) &({{ 3}}\quad ,&{{ -6}}) \end{array}\qquad % coordinates of midpoint \left(\cfrac{{{ x_2}} + {{ x_1}}}{2}\quad ,\quad \cfrac{{{ y_2}} + {{ y_1}}}{2} \right) \\\\\\ \left(\cfrac{3-4}{2}~,~\cfrac{-6-6}{2} \right)[/tex]

Complete the two-column proof.

Given: x/6 + 2 =15
Prove: x = 78
X/6 + 2 =15 a. __________
x/6= 13 b. __________
x = 78 c. ___________

Answers

[tex] \frac{x}{6} + 2 = 15[/tex] ⇒ Start with equality property

[tex] \frac{x}{6}=13 [/tex] ⇒ Using the subtraction/addition property to subtract 2 from both sides

[tex]x = 78[/tex] ⇒ Using the multiplication property (multiply both sides by 6)

x = 78

Answer:

This is proved with two property of equality subtraction and multipication property.

Step-by-step explanation:

Given [tex]\frac{x}{6} + 2 = 15[/tex]

By subtraction property of equality

[tex]\frac{x}{6} +2 - 2 = 15 - 2[/tex]

⇒ [tex]\frac{x}{6} = 13[/tex]

Now by multiplication property

x = 13(6) = 78

Hence the result.

Brianna bought a new car for $15000. Each year the value of the car deprecaites by 30% of its value of the previous year. In how many years will the car be worth only $500?

Answers

The formula is
A=p (1-r)^t
A future value 500
P current value 15000
R rate of depreciation 0.3
T time?
500=15000 (1-0.3)^t
Solve for t
Divide both sides by 15000
500/15000=(1-0.3)^t
Take the log for both sides
Log (500/15000)=t×log (1-0.3)
Divide both sides by log (1-0.3)
T=(log(500÷15,000)÷log(1−0.3))
T=9.5 years round your answer to get 10 years

Hope it helps!

A = P(1+r%)ⁿ , where P = initial value, A= new value, n = number of years and
r% is the growth or depreciation rate, depending on its sign:
If it's a depreciation, the formula becomes:

A = P(1 - r%)ⁿ

500 = 15000(1-0.3)ⁿ

500/15000 = (0.7)ⁿ

0.033333 = 0.7ⁿ

ln(0.03333) = n.ln(0.7)

n = ln(0.03333)/ln(0.7)

n = 9.5 years

y=f(x) is odd (f(-x)=-f(x)) and f(x>0) = x^2-5x-12, x is not = to 0. What points does the line f(x)=12 go through.

Answers

f(x<0)=-f(x>0)=-x^2+5x+12 When x>0, x^2-5x-12=12, x=8, y=12 Therefore, f(x)=12 goes through point (8,12).

The coordinates of the vertices of △ABC are A(−4, 6) , B(−2, 2) , and C(−6, 2) .

The coordinates of the vertices of △A′B′C′ are A′(2, 6) , B′(0, 2) , and C′(4, 2) .

Drag and drop the answers into the boxes to correctly complete the statement.
A sequence of transformations that maps △ABC to △A′B′C′ is a blank followed by a blank.
translation 2 units left
reflection across the x-axis
reflection across the y-axis
translation 2 units down

Answers

Answer-

The sequences of transformations that maps △ABC to △A′B′C′ are

Reflection across the y-axisTranslation 2 units left

Solution-

The coordinates of the vertices of ΔABC are

A = (−4, 6)

B = (−2, 2)

C = (−6, 2)

The coordinates of the vertices of ΔA′B′C′ are

A′ = (2, 6)

B′ = (0, 2)

C′ = (4, 2)

As all the y-coordinates of all the function are same, so the triangle is neither translated up or down (∵ (x, y) → (x, y±k)), nor reflected over x-axis(∵ (x, y) → (x, -y)).

As the signs of x-coordinate is changed, it might be reflected over y axis,

Rule for reflection over y axis is,

(x, y) → (-x, y)

so,

A" = (4, 6)

B" = (2, 2)

C" = (6, 2)

As the x-coordinates of vertices of ΔA′B′C′ are 2 units less than that of ΔA"B"C"

So it is then translated 2 units left.

Therefore, the sequences of transformations that maps △ABC to △A′B′C′ are

Reflection across the y-axisTranslation 2 units left

Answer:

Here is my test answer

Step-by-step explanation:

A circle has its center at (-2, 5) and a radius of 4 units. What is the equation of the circle? (1 point)

(x + 2)2 + (y - 5)2 = 16
(x + 2)2 + (y + 5)2 = 16
(x + 2)2 + (y - 5)2 = 4
(x - 2)2 + (y + 5)2 = 4

Answers

[tex]\bf \textit{equation of a circle}\\\\ (x-{{ h}})^2+(y-{{ k}})^2={{ r}}^2 \qquad \begin{array}{lllll} center\ (&{{ h}},&{{ k}})\qquad radius=&{{ r}}\\ &-2&5&4 \end{array}[/tex]

Answer:

equation of circle (x +2)² + (x + 5)² = 16.

Step-by-step explanation:

Given : A circle has its center at (-2, 5) and a radius of 4 units.

To find : What is the equation of the circle.

Solution : We have given center at (-2, 5) and radius = 4 units .

Standard form of circle : (x -h)² + (x + k)² = r²

Where, ( h, k) is center , r = radius .

Plugging the values of h , k and r in standard equation

(x -(-2))² + (x + 5)² = (4)²

(x +2)² + (x + 5)² = 16.

Therefore, equation of circle (x +2)² + (x + 5)² = 16.

(27p6)5/3 in simplify form.

6 and 5/3 are exponents.

Answers

[tex](27p^6)^{ \frac{5}{3} }=(3^3p^6)^{ \frac{5}{3} }=3^{3 \cdot \frac{5}{3} }\cdot p^{6\cdot \frac{5}{3} }=3^5p^{10}=243p^{10}[/tex]

Answer = 2.06^14 or 24,782.27

The angles of a triangle measure 4 degrees 86 degrees and 90 degrees classify the triangle

Answers

Because it has a right angle, it is a right triangle.

Perform the indicated operation. 1 2/3 + 5 3/8

A. 7 1/24

B. 6 5/24

C. 6 124

Answers

The answer is A. 7 1/24

Hope that helps.

Answer: The correct option is (A) [tex]7\dfrac{1}{24}.[/tex]

Step-by-step explanation: We are given to perform the following indicated operation :

[tex]E=1\dfrac{2}{3}+5\dfrac{3}{8}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

We will be using the following rule :

[tex]a\dfrac{b}{c}=\dfrac{ac+b}{c}.[/tex]

From (i), we get

[tex]E\\\\=1\dfrac{2}{3}+5\dfrac{3}{8}\\\\\\=\dfrac{5}{3}+\dfrac{43}{8}\\\\\\=\dfrac{40+129}{24}\\\\\\=\dfrac{169}{24}\\\\\\=7\dfrac{1}{24}.[/tex]

Thus, the required answer is [tex]7\dfrac{1}{24}.[/tex]

Option (A) is CORRECT.

Aaron deposits $8,000 into an account that earns 3% interest, compounded Annually. How much money will he have after 4 years
PLEASE HELP 60 POINTS FOR THE RIGHT ANSWER SHOW WORK

Answers

The equation used for this problem is

F = P(1+i)ⁿ
where
F is the future worth
P is the present worth
i is the effective interest rate
n is the number of years

Substituting the values,

F = $8,000(1 + 0.03)⁴
F = $9,004.07

Thus, after 4 years, Aaron will have $9,004.07.

Determine which value is a solution to the open sentence. 3 + 6x = 21
a. 3
b. 18
c. 12
d. 4

Answers

It's a. 3.
because
3+6x=21
6x=18
x=3.

After eating dinner at the local diner, your bill is $14.25. if you tip 10%, how much money will you leave the waiter?

Answers

Answer:

Money leave for the waiter is $ 1.43 .

Step-by-step explanation:

As given

After eating dinner at the local diner, your bill is $14.25.

if you tip 10% .

10% is written in the decimal form .

[tex]= \frac{10}{100}[/tex]

= 0.10

Money leave for the waiter = 0.10 × Dinner cost .

Put all the values in the above

Money leave for the waiter = 0.10 × $14.25

Money leave for the waiter = $ 1.43 (Approx)

Therefore money leave for the waiter is $ 1.43 .

A sweater was originally $55. It is now marked down to 65% of its original price. How much is the sweater now?

Answers

55 x .65 = 35.75

55 - 37.75 = 19.25

first you multiply the two numbers together, then you subtract the number you get with the original number, and then you get the marked down price

hope this helps

If you do 55 x .65 it equals to $35.75 cents which is your answer!

Write an inequality that describes this graph.

Please explain HOW you got your answer, thanks a ton! :)

Answers

To find the inequality, we need to remember our rules about what makes inequalities from number lines.

If the "dot" (initial point) is hollow, it is simply a "<" or ">" symbol. If the "dot" is filled in, it means that it includes that number and we should use a "≤" or "≥" symbol. In this case, our "dot" is filled, so we will be using a "≤" or "≥" symbol.

The second rule we must recall is that the "arrow" (symbol) points the direction that the line will go. In this case, our line is going left, so our "arrow" should point left (≤).

Using all of the logic above, we would be able to see that x≤1.

Answer:

z ≤ 1

Step-by-step explanation:

We know the following:

If the initial point is colored, then the only possible inequality signs are ≤ or ≥. However, if the initial point is not colored, then the possible inequality signs for the inequality is < or >. If the line goes to the left of the initial point, it means that the initial point is greater than the numbers on the left of the initial point. If the line goes to the right of the initial point, it means that the initial point is less than the numbers on the right of the initial point.The inequality sign "≤" defines "less than or equal to"The inequality sign "≥" defines "greater than or equal to"The inequality sign "<" defines "greater than"The inequality sign ">" defines "less than"

We can observe that:

In the inequality, we can see that the initial point of the inequality is colored. Therefore, the possible inequality signs for the inequality shown on graph are ≤ or ≥. Let us start setting our inequality.

⇒ _ ≤ or ≥ _

We can see that the inequality line shown on the graph, goes to the left. Therefore, the line shown on the graph defines that the initial point is greater than the numbers on the left of the number line.

⇒ _ ≥ _

Since "1" is the initial point and is greater than or equal to the numbers on the inequality, we can put "1" on the L.H.S of the inequality. Now,

⇒ 1 ≥ _

[Optional] Write the numbers, that are less than 1, on the R.H.S of the inequality. Then, we get the following inequality:

⇒ 1 ≥ 0, -2, -4, -6...

[Optional] Include "1" in the series as ≤ means greater than or equal to.

⇒ 1 ≥ 1, 0, -2, -4, -6...

Let us assume that the numbers less than and equal to 1, be known as z.

⇒ 1 ≥ 1, 0, -2, -4, -6...⇒ 1 ≥ z

Therefore, the inequality that represents the graph is z ≤ 1.

Learn more about inequalities: https://brainly.com/question/26107931

"what is the value of the digit in the ten thousands place for this number"

Answers

i think you forgot the number

If jay ran 1 mile in 5 minutes on monday, 2 miles in 10 minutes on tuesday, and 3 miles in 15 minutes on wednesday, how many miles do you think he might run in 20 minutes on thursday?

Answers

If Jay continues the same pattern of running an extra mile in the extra 5 minutes each day then on Thursday you would expect him to run 4 miles in 20 minutes

Answer:

Jay might run 4 miles in 20 minutes

Step-by-step explanation:

If Jay ran on Monday = 1 mile in 5 minutes

On Tuesday = 2 miles in 10 minutes

On Wednesday = 3 miles in 15 minutes

Jay is increasing his time by 5 minutes per day and distance 1 mile per day.

So the next day Jay might run 1 mile + previous day distance in 5 minutes + time of the previous day.

Therefore, Jay might run 4 miles in 20 minutes

Other Questions