Arlene has to unpack 4 1/2 boxes of canned pineapple juice. He unpacked 1/4 of them.
How many boxes are still unpacked?

The calculated area of the composite figure is 129 square units

Given that we have

A composite figure

To find the area of a composite figure, you can break it down into smaller, simpler shapes whose areas you can calculate. Then you can add up the areas of these shapes to get the total area of the composite figure.

The area is then calculated as

Area = Trapezoid + Rectangle + Parallelogram + Triangle

Using the dimensions from the graph, we have

Area = 1/2 * (12 + 6) * 4 + 6 * 10 + 3 * 7 +  1/2 * 6 * 4

Evaluate

Area = 129

Hence, the area is 129 square units

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The answer to your question is 2

Answer:

 3x ≤ -6

Step-by-step explanation:

"At most" means "less than or equal to." If x represents the number, then you have ...

  (three) times (a number) (is at most) negative 6 . . . . . English

      3       ·         x                ≤           -6 . . . . . . . . . . . . . . . . Math

__

  3x ≤ -6

Answer:

3x ≤ -6

Step-by-step explanation:

Answer:

C (The one before the last one)

Step-by-step explanation:

2000 = 180 + 50d

She already has 180

Plus the $50 she saves each day (d)

2000 is the goal, or what we want it to equal.

The probability of being dealt exactlu one four and no picture cards is 0.0907

Probability is the study of the chances of occurrence of a result, which are obtained by the ratio between favorable cases and possible cases.

Each deck has four suits, each of which contains three picture cards. Consequently, a deck of 52 playing cards has a total of 12 picture cards.

Now, in the whole deck, we will have four 4's. Thus, there are 52 − 12 − 4 = 36 cards that are neither 4's nor picture cards.

Number of ways to get 5-card poker hand = 4 X ³⁶C₄ = 235620 ways.

Number of ways for obtaining random 5 cards hands = ⁵²C₅ = 2598960 ways

Therefore, the probability of being dealt exactly one four and no picture cards = 235620 / 2598960 = 0.0907

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It would take approximately 17.12 years for the amount to reach Birr 56,398.43 with a deposit of Birr 500 at the end of each six-month period, compounded semi-annually at an interest rate of 6%.

To solve this problem, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A = Final amount

P = Principal amount (initial deposit)

r = Annual interest rate (in decimal form)

n = Number of compounding periods per year

t = Number of years

In this case, the principal amount is Birr 500, the annual interest rate is 6% (or 0.06), and the interest is compounded semi-annually, so there are 2 compounding periods per year.

We need to find the number of years (t) it takes for the amount to reach Birr 56,398.43.

Let's substitute the given values into the formula and solve for t:

56,398.43 = 500(1 + 0.06/2)^(2t)

Divide both sides by 500:

112.79686 = (1 + 0.03)^(2t)

Take the natural logarithm of both sides to eliminate the exponent:

ln(112.79686) = ln(1.03)^(2t)

Using the property of logarithms, we can bring down the exponent:

ln(112.79686) = 2t * ln(1.03)

Now, divide both sides by 2 * ln(1.03):

t = ln(112.79686) / (2 * ln(1.03))

Using a calculator, we find t ≈ 17.12.

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A, percentages

You would see percentages on a circle graph, because it's how many parts of the whole that they take up.

Happy to help, have a great day! :)

Answer:here you go please and thankful

Step-by-step explanatio

Answer:

100 :)

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Answer:

Answer: integer and rational

Step-by-step explanation:

The odds against Jenny winning a headset are 88.89% or 8 out of 9, and the odds in favor of Jenny winning a headset are 11.11% or 1 out of 9.

Since Jenny won a charity raffle, and her prize will be randomly selected from the 9 prizes shown below, and the prizes include 7 rings, 1 camera, and 1 headset, to find the odds against Jenny winning a headset, and find the odds in favor of Jenny winning a headset, the following calculations must be performed:

· 1 headset out of 9 total prizes

· 1/9 = headset

· 1/9 x 100 = 11.11%

· 100 - 11.11 = 88.89%

Therefore, the odds against Jenny winning a headset are 88.89% or 8 out of 9, and the odds in favor of Jenny winning a headset are 11.11% or 1 out of 9.

Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and  y = 8x - 16

From the question, we have the following parameters that can be used in our computation:

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

y = -1/8(x - 2) + 6

y = -1/8x + 25/4

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

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the first number in the first bracket is one lesser than the one we n the second bracket but the second one in the first bracket is one number bigger than the other.

Answer:

17, 18, 19, 20

Explanation:

Let the numbers be x, x + 1, x + 2, x + 3

Their sum is equals to 74

x + x + 1 + x + 2 + x + 3 = 74     (group the variables)

x + x + x + x + 1 + 2 + 3 = 74    (simplify)

4(x) + 6 = 74                             (subtract both sides by 6)

4x = 68                                     (divide both sides by 4)

x = 17

Other numbers:

x + 1 = 17 + 1 = 18

x + 2 = 17 + 2 = 19

x + 3 = 17 + 3 = 20

Answer:

17, 18, 19, 20

Step-by-step explanation:

Answer:

1/4 miles

Step-by-step explanation:

Hey there!

Well starting at Campbell and going to Morristown it is 1/4 miles.

Going from Campbell to Clarksville it is 2/4 miles.

So to find the difference we’ll subtract.

2/4 - 1/4

= 1/4 miles

Hope this helps :)

The measure of side length x in the right triangle is approximately 6.03 cm.

The figure in the image is a right triangle having one of its interior angle at 90 degrees.

From the figure:

Angle θ = 37 degrees

Adjacent to angle θ = 8 cm

Opposite to angle θ = x

To solve for the missing side length x, we use the trigonometric ratio.

Note that: tangent = opposite / adjacent

Hence:

tan( θ ) = opposite / adjacent

Plug in the given values and solve for x:

tan( 37 ) = x / 8

x = tan( 37 ) × 8

x = 6.03 cm

Therefore, the value of x is 6.03 cm.

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Answer:

Nina is wearing purple shirt.

Step-by-step explanation:

From the given information:

Mindy and Nina are one after another.

Tyrone is standing next to Jack who is wearing Green.

Now, between Tyrone and Nina, there are exactly two persons.

Combination of Tyrone and Nina can be either in the first four positions or last four positions as they have persons in between.

From the observation, Tyrone can be at the last position and Jake will be ahead of him. This is because Jake is ahead of Tyrone and he is wearing green and if Tyrone is at the second position then, there is no place for Jake as the first person is wearing orange.

So, at the fourth and fifth position, Jack and Tyrone are present.

Now, Nina must be at 2ns position because between Tyrone and Nina there should be 2 persons.

Amy can never be at 1st or last and hence, she will be at the 3rd position.

So, in first position Mandy will be present.

Now, 2nd or 4th person could wear purple, but in 4th position Jake is present who is wearing green

Thus, Nina at the second position should be wearing purple.

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Explanation:

Start with set A and circle any value that you find in set I. Those values are  -1, 1, and 2. These elements are found in both sets at the same time, hence they are in the intersection of set A and set I

Refer to the Venn diagram below. We have the values -1, 1, and 2 in the blue overlapped region. A value like 4 is only found in set A, so it's inside circle A, but outside circle I. On the flip side, a value like 8 is found outside of circle A but inside circle I.

The use of curly braces in the answer tells the reader we're dealing with a set of values. The order doesn't matter for any given set. Often it's helpful to put it in order from smallest to largest.

Answer:

32/40

Step-by-step explanation:

4x8 and 4x10

Answer:

I have learned a lot in math, although it was years ago on of my favorite things to learn was to multiply and divide. They were not only easy but also fun.

Step-by-step explanation:

Answer:

The range is the set of first coordinates

Answer:

5 sec

Step-by-step explanation:

Hit the water, means h = 0

Solve -16t^2 + 68t +60 =0

4t^2 - 17t - 15 = 0

(4t + 3)(t - 5) = 0

so t = 5 sec

Answer:

0.6 = 60% probability that it is either sunny or rainy.

Step-by-step explanation:

We solve this question treating these events as Venn probabilities.

I am going to say that:

Event A: Rain

Event B: Sun

The chance of rain is 20%

This means that \(P(A) = 0.2\)

The chance of it being sunny is 60%

This means that \(P(B) = 0.6\)

The chance of it being sunny and rainy at the same time is 10%.

This means that \(P(A \cap B) = 0.1\)

Calculate, the probability that it is either sunny or rainy.

This is:

\(P = P(A) + P(B) - 2P(A \cap B) = 0.2 + 0.6 - 0.2 = 0.6\)

0.6 = 60% probability that it is either sunny or rainy.

Answer:

A. Using the lens equation, 1/p + 1/q = 1/f, and substituting f = 5 cm and q = 7 cm, we can solve for p:

1/p + 1/7 = 1/5

Multiplying both sides by 35p, we get:

35 + 5p = 7p

Simplifying and rearranging, we get:

2p = 35

Therefore, the distance from the lens to the object, p, is:

p = 35/2 cm

B. Solving the lens equation, 1/p + 1/q = 1/f, for q, we get:

1/q = 1/f - 1/p

Substituting f = 5 cm, we get:

1/q = 1/5 - 1/p

Multiplying both sides by 5qp, we get:

5p = qp - 5q

Simplifying and rearranging, we get:

q = 5p / (p - 5)

Therefore, the expression that gives q as a function of p is:

q = 5p / (p - 5)

C. Here is a sketch of the graph of q(p):

The graph is a hyperbola with vertical asymptote at p = 5 and horizontal asymptote at q = 5. The image distance q is positive for object distances p greater than 5, which corresponds to a real image. The image distance q is negative for object distances p less than 5, which corresponds to a virtual image.

D. Taking the limit of q as p approaches infinity, we get:

lim q(p) = 5

This represents the horizontal asymptote of the graph. As the object distance becomes very large, the image distance approaches the focal length of the lens, which is 5 cm.

Taking the limit of q as p approaches 5 from the positive side, we get:

lim q(p) = -infinity

This represents the vertical asymptote of the graph. As the object distance approaches the focal length of the lens, the image distance becomes infinitely large, indicating that the lens is no longer able to form a real image.

In order for the lens to form a real image, the object distance p must be greater than the focal length f. When the object distance is less than the focal length, the lens forms a virtual image.

Answer:

15= -3m-9

15+9 = -3m

24 = -3m

-8= m

Therefore the m value is -8

The value of the expression a(b + c) when a = 2, b = 3, and c = 4 is 14.

Given the expression in the question:

a( b + c )

Also, a = 2, b = 3, and c = 4

To evaluate the expression a( b + c ) when a = 2, b = 3, and c = 4, we substitute these values into the expression:

Hence:

a( b + c )

Plug in a = 2, b = 3, and c = 4

2( 3 + 4 )

First, we simplify the parentheses by adding 3 and 4:

2( 7 )

Next, we multiply 2 and 7:

14

Therefore, the value of a(b + c) is 14 .

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