In order to qualify for a role in a play, an actor must be taller than 64 inches but shorter than 68 inches. The inequality 64 < x < 68, where x represents height, can be used to represent the height range. Which is another way of writing the inequality?

x > 64 and x < 68
x > 64 or x < 68
x < 64 and x < 68
x < 64 or x < 68

Answers

Answer 1

Answer: x > 64 and x < 68 is another way of rewriting inequality.

Step-by-step explanation:

To qualify for a role in a play, an actor must be taller than 64 inches but shorter than 68 inches.

⇒The inequality 64 < x < 68, where x represents height,gives the range of height.

⇒In other words range of height can be x > 64 and x < 68 , such that both conditions are applied to single actor.

[with the use of or it will appear to give priority by actor to follow any 1 conditon]


Related Questions

Look at this function:


x y
−3 −8
−2 −6
−1 −4
0 0


Matt said that the function is linear.

Justine said that the function is nonlinear.

Which of the following explains who is correct?
Matt, because for every 1-unit increase in x, there is an increase in y by 2
Matt, because for every 2-unit increase in x, there is an increase in y by 1
Justine, because the point (−3, −8) does not lie on the straight line that contains the other points
Justine, because the point (0, 0) does not lie on the straight line that contains the other points

Answers

Justine, because the point (0, 0) does not lie on the straight line that contains the other points.

Explanation:

See the graph below. The following coordinates are not in a stright line.

Hence, it is a non linear function. Justine is right.

When drawn a straight line. the coordinates: (0,0) does not lie on the line.

correct answer please!


Use the numbers from the item bank to write the value of each expression.

Photo down below!

Answers

Step-by-step explanation:

4347 ÷ 21 = 207

4715 ÷ 23 = 205

5200 ÷ 25 = 208

5356 ÷ 26 = 206

If it take 8 cups of flour to make 4 Loaves of bread, how many loaves of bread can you make from 40 cups of flour

Answers

Answer:

20

Step-by-step explanation:

Since 8 x 5 is 40, we can multiply 4 x 5 to get 20.

A recipe uses 3 cups of sugar to make 48 pieces of taffy. How much sugar would it take to make 72 pieces of taffy​

Answers

Answer:

4.5 cups of sugar

Step-by-step explanation:

This is how i solved it...

3 cups sugar = 48 pc. taffy

??? cups sugar = 72 pc. taffy

48 x 1.5 = 72

that means 3 x 1.5 should get you how many cups!

3 x 1.5 = 4.5

4.5 cups of sugar! hope this helps!!!

Answer:

3 1/2 cups of sugar

Step-by-step explanation:

3=48

3 1/2= 72

Bob has $600 in a savings account that earns' 5% annually. The interest is not compounded
How much interest will he earn in 1 year?

Use the formula /= prt, where I is the interest earned, p is the principal (starting amount),
is the interest rate expressed as a decimal, and t is the time in years.

Answers

[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$600\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ t=years\dotfill &1 \end{cases} \\\\\\ I = (600)(0.05)(1)\implies I=30[/tex]

Answer:

30

Step-by-step explanation:

You would frist start by mutiplying 600 you principal by .05 your rate which equals 30. The you would multiply that by you time which is 1.

(18) (3, -2) lies on terminal side of angle (θ).

Find the EXACT value of sec (θ)

Show steps

Answers

By applying fundamental and derivate trigonometric expressions it is to be concluded that the secant of the line segment whose terminal side is (3, - 2) is approximately 1.202.

How to apply trigonometric expressions

Trigonometric expressions are trascendent expressions derived from relationships between sides of the triangle contained in a goniometrical diagram.

There are at least six trigonometric expressions: sine, cosine, tangent, cotangent, secant, cosecant. The first two expressions are fundamental, whereas the rest are derived from them.

We can derive an expression for the secant of the angle by applying trigonometric expressions:

[tex]\sec \theta = \frac{1}{\cos \theta} = \frac{\sqrt{x^{2}+y^{2}}}{x}[/tex]     (1)

If we know that x = 3 and y = - 2, then the secant of the angle is:

[tex]\sec \theta = \frac{\sqrt{3^{2}+(-2)^{2}}}{3}[/tex]

sec θ ≈ 1.202

By applying fundamental and derivate trigonometric expressions it is to be concluded that the secant of the line segment whose terminal side is (3, - 2) is approximately 1.202.

To learn more on trigonometric expressions, we kindly invite to check this: https://brainly.com/question/6904750 #SPJ1

Performance Task A. Directions: Solve the problem and answer the following questions. Renz' family attended a pool party. The pool is circular in shape. He wants to find out the area of the pool. If the radius is six meter, what could be the area? Fill in the blanks. 1. The radius of the pool is m 2. The diameter of the pool is __m 3. The value of pi is 4. Formula in finding the area of a circle 5. Area of the swimming pool X m²​

Answers

Answer: 144 meters

Step-by-step explanation: area of circle = r^2

6^2 = 36 = 144 Meters given = 4

radius of pool is 6 meters

diameter of pool is 12 meters

= 4

area of circle = r^2

area of swimming pool is 144 meters

The equation y - 1 =-7(x-3) is written in point-slope form. What is the y-intercept of the line?
O -4
O-2
O 20
O 22

Answers

(0,22)
Next time I’d recommend also including x coordinates, it’s just easier if you have them

DE joins the midpoints of AB and AC. Find the value of x
and y.

Answers

Answer:

x = 6

y = 4

Step-by-step explanation:

2(4x + 1) = 11x - 16

8x + 2 = 11x - 16

8x + 2 + 16 = 11x - 16 + 16

8x + 18 = 11x

8x + 18 - 8x = 11x - 8x

18 = 3x

6 = x

5y + 4 = 8(y - 1)

5y + 4 = 8y - 8

5y + 4 + 8 = 8y - 8 + 8

5y + 12 = 8y

5y + 12 - 5y = 8y - 5y

12 = 3y

4 = y

basically what he said and mark them brainlest

A bucket of water was 1/2 full, but it still had 3 and 3/5 gallons of water in it. How much water would be in one fully filled bucket?

Answers

Question:

A bucket of water was 1/2 full, but it still had 3 and 3/5 gallons of water in it. How much water would be in one fully filled bucket?

Answer:

7 1/5

Step-by-step explanation:

The bucket was halfway full. It still had 3 3/5 gallons in it. So all you'd have to do is multiply 3 3/5 by 2. Here is the actual work for proof:

3 3/5 × 2 =  

18/5 × 2 =  

18 × 2

5 × 1 =  

36/5 = 7 1/5.

How do you convert joules to kJ

Answers

Answer:

Divide by 1000.

Step-by-step explanation:

For example, 1 joule is 0.001 kilo joule.

1 divided by 1000 is 0.001.

If there were 30 joules, there would be 0.032 kilo joules.

How much is a square mile

Answers

a square mile is equivalent to 27878400 square feet

How many solutions exist for the given equation?

3x + 13 = 3(x + 6) + 1

Answers

Answer:

0

Step-by-step explanation:

3x+13 = 3(x+6)+1

3x+13=3x+19

13=19

This is never true so there are 0 solutions

If the x's didnt cancel out, you could use the fundemental theorom of algebra, which states that in the simplest form(nothing will cancel out anymore), the highest degree(highest power) on a variable is the number of solutions.

Easy math what one a b c d e

Answers

Answer:

problem 14 = E

Step-by-step explanation:

well that's all ther is to it, it's E because y or x being 0 would make the equation undefined

PLEASE HELP ASAP WILL MARK BRAINLIEST!
Solve and show your work for each question.
Note: Remember per the rule of 9s if you have a repeating and non-repeating component you need
to handle them separately.
(a) What is 0.47 expressed as a fraction in simplest form?
(b) What is 0.4-7 expressed as a fraction in simplest form?
(c) What is 0. -47 expressed as a fraction in simplest form?
There are lines above the seven in decimal B and the line in decimal C is above both numbers. pleaseeeee help me

Answers

Answer:

See below

Step-by-step explanation:

a)   47/100

b)  .4777777.....   =x

      then 10x = 4.77777....

      100x = 47.777777 ....   now subtract 10x to get

          90x = 43

             x = 43/90

c) .4747474747......   = x

        100x = 47.474747    now subtract x to get

          99x = 47

             x = 47/99

solve for the value of k

pls help me asap

Answers

Answer:

k=13

Step-by-step explanation:

We know that

straight angle is equal to 180⁰

(4k-7)⁰+90⁰+(3k+6)⁰=180⁰

4k-7+3k+6=90

7k=91

k=13

I hope it helped you

The table shows the weights (in pounds) and the prescribed dosages (in milligrams) of medicine for six patients.

Weight (lb), x Dosage (mg), y
94 72
119 90
135 103
150 115
185 140
202 156
a. Find an equation of the line of best fit. Round the slope and the y -intercept to the nearest tenth, if necessary.

y=
Question 2
Identify the correlation coefficient. Round your answer to the nearest thousandths.

Question 3
Interpret the correlation coefficient.
0 / 10000 Word Limit
Question 4
b. Interpret the slope of the line of best fit.

Question 5
c. A patient who weighs 140 pounds is prescribed 135 milligrams of medicine. How does this affect the line of best fit? Explain.

Answers

(A) Using calculator, the equation of the line of best fit is y=0.77x-1.1y=0.77x−1.1 and correlation coefficient is 0.9990.999

The relationship is strongly positive as correlation coefficient is very close to +1.

Step 2

(B) The slope of best fit gives the change in dosage for a unit (lb) increase in weight of patient. We find that the dosage increases by about 0.77 mg for a unit increase in weight of patient.

Step 3

(C) Adding observation (140, 135)(140,135) to the data set. the regression line changes to y=6.12+0.75xy=6.12+0.75x. It increases the intercept but decreases slope.

But the correlation falls to 0.9340.934, weakening the relationship. This happens as the observation is an outlier.

Result

a. y=0.77x-1.1y=0.77x−1.1, strong positive relationship

b. represents change in dosage for a unit increase in weight

c. regression line changes to y=6.12+0.75xy=6.12+0.75x.

(A) The line of best fit's equation is y=0.77x-1.1y=0.77x1.1, and the correlation coefficient is 0.9990.999. The correlation coefficient is near +1, indicating that the link is positive.

What is the equation?

The definition of an equation in algebra is a mathematical statement demonstrating the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

Step 2

(B) The change in dosage for a unit (lb) increase in patient weight is indicated by the best-fit slope. We discover that for every unit increase in patient weight, the dosage rises by around 0.77 mg.

Step 3

(C) Including observation (140, 135) in the data set. y=6.12+0.75xy=6.12+0.75x is the new value of the regression line. Although the slope is reduced, the intercept is increased.

However, the link is weakened when the correlation drops to 0.9340.934. This occurs because the observation is an anomaly.

Result

a. Strong positive association, y=0.77x-1.1y=0.77x1.1

B. indicates a dose modification for a unit weight increase

C. y=6.12+0.75xy=6.12+0.75x is the new value of the regression line.

Therefore, y=0.77x-1.1y=0.77x1.1 is the equation for the line of best fit, and the correlation coefficient is 0.9990.999.

Learn more about the equation here:

https://brainly.com/question/10413253

#SPJ2

x+3=y
what is y?
GIVING BRANLIEST

Answers

NO SOLUTIONS
There can’t be an answer if you don’t have anything to plug in!

Answer:

There isn't a way to solve for y but I can give you this

Step-by-step explanation:

Slope=1

x-intercept is -3/1

y-intercept is 3/1

"Place a number in each box so that each equation is true and each equation has at least one negative number."

Answers

Answer:

x=1, y=-1

Step-by-step explanation:

Given the equation:

where x and y are the blank boxes.

We want to find

A positive value of x

A negative value of y

That makes the equation true.

If x=1, y=-1

This can be confirmed using addition law of indices()

In general, any pair of a number and its negative value will satisfy the equality.

Step-by-step explanation:

2 ≤ s-2 Find variable for s

Please show your work

Answers

Answer:

∂x. )2 + (. ∂z. ∂y. )2 = √1 +. 1. 9. +. 1. 4. = 7/6. Then the area of S is found by calculating the surface integral over S for the function f(x, y, z) =

hope this helps

Answer:

s <= 4

Step-by-step explanation:

First we re arrange

s - 2 >= 2

a-2+2>=2+2

a>=2+2

a>=4

if your expenses total $5,600 per month. you charge$25 per hour and have contracts for study work that total 45 hours per week for 52 weeks of the year. How does this rate cover your expenses?

Answers

Answer:

$8700

Step-by-step explanation:

since there are 12 months in a year:

5600 x 12 = $67200

pay per week: 25 x 45 = $1125

pay per year: 1125 x 52 = $58500

67200 - 58500 = $8700 left over

not too sure by what you meant with the question (How does this rate cover your expenses?) but i hoped this helped in some way :)

What are the possible transformations that could have been used to create the red figure A'B'C'D' from the blue
figure ABCD?
A
D'
-5-4-3-2-1. B
3 A 5 x
-2
a reflection across
the y axis followed by a translation of 5 units up and 5 units left
O a reflection across the y axis followed by a 90-degree rotation counterclockwise about the origin
a rotation of 90 degrees counterclockwise about the origin followed by a reflection across the y axis
A
5
4
3
2
B
BB
Ni
& &
2

Answers

Answer:

Second option.

Step-by-step explanation:

A reflection across the y axis followed by a counterclockwise rotation around the origin.

The answer is the second option

The product of a number and 7 less than the number is 30. Find the number.

Answers

Answer:

-3 or 10

Step-by-step explanation:

[tex]x(x - 7) = 30[/tex]

[tex] {x}^{2} - 7x = 30[/tex]

[tex] {x}^{2} - 7x - 30 = 0[/tex]

[tex](x - 10)(x + 3) = 0[/tex]

x = -3 or 10

Ollie drank 1/2 of a 16 fluid ounce bottle of juice how many cups of juice are left in the bottle explain

Answers

Answer:

Step-by-step explanation:

1 cup is left because 16 ounces is 2 cups so half would be one

Evaluate 3x+ y when x equals 1/3 and y equals -7/4. Write your answer as a fraction in simplest form.

Please help!! Thanks!!

Answers

Answer:

-3/4

Step-by-step explanation:

Put in the values for 'x' and 'y'

3 * (1/3) +  (-7/4)

   1        -  7/4

4/4       - 7/4

(4-7)/4   = -3/4

When designing a training plan, what do you need to think about?
A. Frequency, rest, progression
B. Moderation, progression and overtraining
C. Rest, goals, overload
D. Frequency, overtraining, time

Answers

D. Frequency, overtraining, time

Subtract 89.768 from 201.316
show your work​

Answers

Answer:

111.548

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

Subtract 201 from 89.

[tex]201 - 89 = 112[/tex]

we can estimate the answer will be close to 112

Next, work with the decimals. Note that the more you subtract, the bigger the decimal places get.

[tex]0.768 - 0.316 = 0.452[/tex]

Round 0.452 up from the hundredths place to nearest tenths place.

[tex]0.452 = 0.5[/tex]

Since the decimal place is bigger, estimate 0.55 instead.

Subtract 0.22

[tex]0.55 - 0.2 = 0.548[/tex]

Add this number to 112

[tex]112 + 0.548 = 112.548[/tex]

Subtract 1 because of the estimate.

[tex]112 - 1 = 111[/tex]

Therefore, we have 111.548 based off of subtracting and estimating in a specific method.

How do you know if a net will fold into a pyramid?

Answers

Step-by-step explanation:

A pyramid is made when 4 triangle meet on square then mate on each together .


22. A small-appliance manufacturer finds that it costs $9000 to produce 1000 toaster ovens a week and $12,000 to produce 1500 toaster ovens a week.
(b) What is the slope of the graph and what does it represent?

Answers

A small-appliance manufacturer finds that it costs $9000 to produce 1000 toaster ovens a week and $12,000 to produce 1500 toaster ovens a week.

which compound inequality is equivalent to the absolute value inequality |b|>6?

Answers

The compound inequality equivalent to the absolute value inequality |b|>6 is b > 6, and b < -6

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the inequality:

|b| > 6

Hence:

b > 6 and -b > 6

b > 6, and b < -6

The compound inequality equivalent to the absolute value inequality |b|>6 is b > 6, and b < -6

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

Answer:

Answer is A

Step-by-step explanation:

Got it right on the quiz

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