The opening in a rectangular door frame measures 9 feet by 3 feet. Each of the four doors described in the table measures 9
feet by 3 feet, but have different diagonal lengths. Which door will fit in the rectangular opening?
Door 1
Door 2
diagonal: 10 feet
Door 3
diagonal 3 V10 feet
Door 4
diagonal: 6
feet
diagonal: 12 feet
Door 1
Door 2
Door 3
Door

You're 42. 42-21=21 and 21x2=42.

The current age of your is 42 years old.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

Ax+By=C is the usual form for two-variable linear equations. A standard form linear equation is, for instance, 2x+3y=5.

In other words, an equation is a set of variables that are constrained through a situation or case.

To form an equation we must know the constraint of that condition,

For example x < 5 is a constraint.

Another example of a constraint is;

7x + 3y = 8 like that

Let say

Your age is  = x

21 year ago your age were = x - 21

Now it was half the age x so,

x - 21 = (1/2)x

2x - 42 = x

x = 42

So your current age will be 42 years old.

For more about the equation

brainly.com/question/2263981

#SPJ2

Answer:

The student is correct.

Step-by-step explanation:The circle's circumference is the distance around the circle.  To find out the circle's circumference, you will NEED the radius.  Without the radius OR diameter, there will be no way of telling what the circumference is with just the area.

Answer:

berry bars= 22

raisin bars=26

Step-by-step explanation:

berry bars= 528/24

raisin bars= 1152-528/24

Answer:

22 boxes of berry bars and 26 boxes of raisin bars

Step-by-step explanation:

528 divided by 24 equals 22 boxes of berry bars

1152-528=624 so 624 divided by 24 equals 26 boxes of raisin bars

Final answer:

To calculate the volume of the orange juice can, the formula V = πr²h is used. By finding the radius from the given area of the base and then using the height of the can, the volume is calculated as 3120 cm³, which corresponds to answer choice A.

Explanation:

The student has asked a question about calculating the volume of a cylindrical can of orange juice. Given the area of the circular base is 156 square centimeters and the height of the can is 20 centimeters, the volume can be found by using the formula V = πr²h, where V stands for volume, r is the radius of the base, and h is the height of the cylinder. First, we need to find the radius (r) of the base from the given area, and then substitute it into the volume formula along with the height (h).

To find the radius, we use the formula for the area of a circle, A = πr², where A = 156 cm². Solving for r, we have r = √(A/π). Plugging the area into this formula, the radius (r) is:

r = √(156/π) cm

Then we substitute the radius and height into the volume formula:

V = πr²h

V = π(√(156/π))^2 × 20 cm

V = 156 × 20 cm³

V = 3120 cm³

Therefore, the correct answer is A. 3120 cubic centimeters.

Answer:

f(2) = - 16

Step-by-step explanation:

Given

f(x) = - [tex](4)^{x}[/tex]

To evaluate f(2) substitute x = 2 into f(x)

f(2) = - [tex](4)^{2}[/tex] = - 16

Answer:

False

Step-by-step explanation:

As integer is a whole number that is not a fractional number that can be positive, negative, or zero.

Answer:

false

Step-by-step explanation:

An integer is a whole number. integers can't have a decimal places.

I believe your answer is

C. i- 0.3i

Answer:

Time in weeks you mean not seconds.

His beard should be graphed at point xy 1, 8 and continue at a gradient rate 8 rise / 1 rise showing m = 8/1 . to show one week to be able to meet up with .

Step-by-step explanation:

There are 604800 seconds in a week so first multiply by 5.5 weeks to find the first green dot. 604800 x 5.5 = 3326400 so we know the .5 option shows a rounded next week number.

We can either work downwards to zero or start at 1,8 ever way they will be even balance as 8/32 = 4 8/36 = 4.4 growth and this for example would show a rounded amount, so that 8/8 would be 8 and show the first week, or can be skipped out and start with y = 2x + 10 and then when referring to show .5 growth it would still be a whole number within the equation representing 12 and still be a whole number representing 2 weeks.

The graph does not speak of seconds but weeks, but if you want to use the above and try for 604800 seconds as shown for 1 week, you will have a tough time graphing. Stick to 2,4,6 8, 10, 12, 14, 16, 18 weeks multiplied by 12 = y = 1 + 8 = 0  

y = 2x +8 +2 = 1

y = 3x + 8 +2 = 2  

etc etc....

Answer:

angle 5

Step-by-step explanation:

Answer:

Cholula

Step-by-step explanation:

first find the vlumes of the different pyramids:

FORMULA:

volume = (1/3) * basearea

Cholula- 157,583,664

Cheops- 91,204,000

Answer:

The Cholula Pyramid has a greater volume.

Step-by-step explanation:

volume = (1/3) * area of base * height

In both cases, the base is a square, so the area of the base is (side)^2

volume = (1/3) * (side)^2 * height

Cholula Pyramid:

volume = (1/3) * (side)^2 * height

volume = (1/3) * (1476 ft)^2 * 217 ft

volume = 157,583,664 ft^3

Cheops Pyramid:

volume = (1/3) * (side)^2 * height

volume = (1/3) * (755 ft)^2 * 480 ft

volume = 91,204,000 ft^3

The Cholula Pyramid has a greater volume.

Answer: Emmet bought 94 more cans of cat food than dog food.  

Step-by-step explanation:

Answer:

Step-by-step explanation:

10 × 10 = 100 Cans of cat food

3 x 2 = 6 Cans of Dog food

Total cat food - Total dog food

100 - 6

94 Cans of cat food

Equation is y=kx.  We have four chance to figure out k; hopefully they all give the same result

x=9, y=63,  y=kx becomes 63=k(9) so k=63/9=7

x=4, y=28, 28=k(4), k=7

The constant of proportionality is 7; we check  2×7=14, 11×7=77

Answer: k=7,   y=7x

Answer:

y=kx

y=k(7)x

y=7x(11)

y=7*11

y=77

Step-by-step explanation:

So with useing the equation that I used the porportional relationship is 7 so just fill 7 in for k. Then take the x number and fill it in for x. you will then multiply and get the y value.

Answer:

12

Step-by-step explanation:

11.9781

After tenth digit it is 7>=5. So 1 should be added to 11.9

11.9 + 1 = 12.0 = 12

Answer:

The probability of 1 or less children from that group to learn how to swim before 6 years of age is 0.072

Step-by-step explanation:

In this case we need to compute the probability of none of these 12 children learns to swim before 6 years of age. This is given by:

p(0) = (1 - 0.312)^(12) = 0.688^(12) = 0.01124

We now need to calculate the probability that one child learns to swim before 6 years of age.

p(1) = 12*0.312*(1 - 0.312)^(11) = 3.744*(0.688)^(11)

p(1) = 3.744*0.01634

p(1) = 0.0612

The probability of 1 or less children from that group to learn how to swim before 6 years of age is:

p = p(0) + p(1) = 0.01124 + 0.0612 = 0.07244

The probability that 1 or fewer of the 12 children will learn to swim before age 6 is approximately 0.072 when rounded to three decimal places.

1. Given:

  - Probability that a child will learn to swim before age 6, ( p = 0.312 )

  - Number of children, ( n = 12 )

2. Calculating ( P(X = 0) ):

[tex]\[P(X = 0) = \binom{12}{0} (0.312)^0 (1 - 0.312)^{12}\]\[P(X = 0) = 1 \times 1 \times (0.688)^{12}\]\[P(X = 0) \approx (0.688)^{12}\][/tex]

Using a calculator for [tex]\((0.688)^{12}\)[/tex]:

[tex]\[(0.688)^{12} \approx 0.0088\][/tex]

3. Calculating ( P(X = 1) ):

[tex]\[P(X = 1) = \binom{12}{1} (0.312)^1 (1 - 0.312)^{11}\]\[P(X = 1) = 12 \times 0.312 \times (0.688)^{11}\][/tex]

Using the binomial cumulative distribution function (CDF):

[tex]\[P(X \leq 1) = \sum_{k=0}^{1} \binom{12}{k} (0.312)^k (0.688)^{12-k}\][/tex]

Using the binomial probability tables or calculator, we get:

[tex]\[P(X = 0) \approx 0.0088\]\[P(X = 1) \approx 0.0623\][/tex]

Summing these:

[tex]\[P(X \leq 1) \approx 0.0088 + 0.0623 = 0.0711\][/tex]

Thus, the probability that 1 or fewer of the 12 children will learn to swim before age 6 is approximately 0.0711, which rounds to 0.072.

Answer:

D). 9

Step-by-step explanation:

Step 1: Graph the points

Step 2:  count the distance between point 1 (-3,4) and point 2 (-3,-5)

Step 3: Locate the answer on your multiply choices

Step 1: graph  ( the graphed points are located in the picture below)

Step 2: count the distance (Demonstration on how to do this is on the second image below)

Step 3: Locate your answer (9)

Answer:

192 ft

Step-by-step explanation:

The volume of the prism with the given dimension of 2 feet, 8 feet, and 12 feet is 192 cubic feet.

The volume of a prism is the product of the base area and the height of the prism.

The given dimension of the prism is 2 feet, 8 feet, and 12 feet.

Therefore, the volume of the prism is

= (2 × 8 × 12) cubic feet

= 192 cubic feet.

Therefore, the volume is 192 cubic feet.

Learn more about the volume of a prism here: https://brainly.com/question/12138746

#SPJ3

Answer:$9.3 is the bars and the rest is the apples

Step-by-step explanation:because you take away from the bars than what is left is the apples.

The difference in price between a cliff bar and an apple is $0.50.

To determine the difference in price between a cliff bar and an apple, we must create two equations based on the information provided:

8C + 4A = 12.40 (equation 1 for the Kendall family)

15C + 9A = 24.30 (equation 2 for the Smith family)

We can solve these equations using substitution or elimination. Let's use the elimination method:

Multiply equation 1 by 2 to get 16C + 8A = 24.80 (equation 3).

Subtract equation 3 from equation 2: (15C + 9A) - (16C + 8A) = 24.30 - 24.80 which gives us -C + A = -0.50.

From this simplified equation, we gather that the price difference between a cliff bar and an apple is $0.50.

Therefore, the difference in price between a cliff bar and an apple is $0.50.

Answer:

Step-by-step explanation:

Rotation by -90° about the origin is the transformation ...

  (x, y) ⇒ (y, -x)

So, your pre-image points are ...

  A'(6, 3) ⇒ A(3, -6)

  B'(-2, 1) ⇒ B(1, 2)

  C'(1, 7) ⇒ C(7, -1)

Here is the explicit formula for the arithmetic sequence: an = 500 + 50(n - 1)

where:

an is the amount of money Elian receives in week n

500 is the first payment

50 is the common difference

n is the week number (1-indexed)

For example, in week 2, Elian will receive $550 because 500+50(2−1)=550.

The formula is in simplified form because the common difference is a simple integer

Read more about formula here:

https://brainly.com/question/29797709

#SPJ2

Answer:

$ 1.25/m

Step-by-step explanation:

5 m ............. $ 6.25

1 m .............. $ x

x = 1×6.25/5 = 6.25 : 5 = $ 1.25/m

Answer:

order: 37, 40, 42, 47, 52, 54, 57, 60

a) mean: 48.625

b) difference: 340.375

c) 47.5 difference (between mean and mad)

d) 7.125

Given:

The graph of the parabola with vertex (-2,-4)

We need to determine the equation of the parabola in vertex form.

Equation in vertex form:

The general form of the equation of the parabola in vertex form is given by

[tex]y=a(x-h)^2+k[/tex]

where a is the constant and (h,k) is the vertex.

Substituting the vertex (-2,-4) in the above formula, we get;

[tex]y=a(x+2)^2-4[/tex]  -------- (1)

To determine the value of a, let us substitute the point that the parabola passes through.

Hence, substituting the point (0,8) in equation (1), we get;

[tex]8=a(0+2)^2-4[/tex]

[tex]8=a(2)^2-4[/tex]

[tex]8=4a-4[/tex]

[tex]12=4a[/tex]

[tex]3=a[/tex]

Thus, the value of a is 3.

Substituting the value a = 3 in equation (1), we get;

[tex]y=3(x+2)^2-4[/tex]

Thus, the equation of the parabola in vertex form is [tex]y=3(x+2)^2-4[/tex]

Answer:

Your answer is gonna be the letter B

Step-by-step explanation:

Answer:

1/2 or 3/6

Step-by-step explanation:

on a die theirs 6 numbers, and the numbers 1,2,3 are less than 4. So out the the six numbers 3/6 are les than 4 and 1/2 and 3/6 are equivalent.

Answer: B and C

Step-by-step explanation:they are odd

349,313,81 are odd numbers.

Explanation:

those numbers which are not divisible by 2 are called odd numbers.

Hope it will help u...

Answer:

Step-by-step explanation:

diameter = 34 m

r = 34/2 = 17 m

V=(4/3)πr³

[tex]=\frac{4}{3}*3.14*17*17*17\\\\=\frac{61707.28}{3}\\\\=20569.093333\\\\\=20569.09cubic meters[/tex]

Answer:

D. Yes, two sides are perpendicular, and the side lengths fit the

Pythagorean theorem.

Option B is correct as the shape lacks a right angle and its side lengths do not conform to the Pythagorean theorem, despite having two perpendicular sides.

A right-angled triangle is a geometric shape that has one internal angle measuring exactly 90 degrees. This angle, known as the right angle, is formed by the intersection of two sides of the triangle.

The other two angles in the triangle are acute angles, which means they measure less than 90 degrees. The side opposite the right angle is called the hypotenuse, and it is the longest side in the triangle.

The other two sides are called the legs, and they form the right angle. The lengths of the legs and the hypotenuse of a right-angled triangle are related by the Pythagorean theorem, which states that the square of the hypotenuse is equal to the sum of the squares of the legs.

Learn more about the right-angled triangle here:

brainly.com/question/18452950

#SPJ7

Answer: X = -4, X = 2

Step-by-step explanation:

On the graph, the line touches the x axis on -4 and 2, therefore, those are the answers.