A fruit basket has 16 apples and 6 bananas in it. What is the ratio of bananas to apples in the fruit basket?

Question 1 options:

3:8


1:16


16:1


8:3

\(6\left[\cos\left( \frac{11\pi }{6} \right) +i\sin\left( \frac{11\pi }{6} \right) \right] \\\\\\ 6\left[\cfrac{\sqrt{3}}{2}~~,~-\cfrac{1}{2}i \right]\implies (3\sqrt{3}~~,~-3i) ~~ \approx ~~ \stackrel{ \textit{\LARGE S} }{(5.2~~,~-3i)}\)

Answer: The answer is C

Step-by-step explanation: This is because the equation has a greater than or equal to sign (≥). This mean that there will be a closed dot. Also, when it comes to inequalities, the sign points to where the line will be drawn, (greater than is to the right and less than is to the left), which indicates that the answer is C

Answer:

1 and 1/3 yard

Step-by-step explanation:

200 divided by 150 is equal to 4 divided by 3

using a fraction calculator i did

4       3            1

-    /   -     =   1  -

1       1              3

Answer:

How many yards to make one dress?  = 1.33

Step-by-step explanation:

This is a ratio problem (fractions) used to solve an unknown.

if 200yds makes 150 dresses then let x (your unknown) be the yds needed  to make 1 dress.

200/150 = x/1

150*x = 200*1

150x = 200

150x/150 = 200/150

x = 200/150  

x = 1.33333

The function notation of 9x + 3y = 12 is given as follows:

f(x) = 4 - 3x.

The function in the context of this problem is given as follows:

9x + 3y = 12.

The format for the function notation is given as follows:

Hence we must isolate the variable y, as follows:

3y = 12 - 9x

y = 4 - 3x (each term of the expression is divided by 3).

f(x) = 4 - 3x.

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Answer:

Domain=[67,78]

Step-by-step explanation:

To find domain:

  ⇒ must define what is a domain

       ⇒ Domain is the set of input values or the values of the x-axis of

           graph that is covered by the function

Based on the definition:

    ⇒ 67 ≤ x ≤ 78 is the domain of the function

Answer: 67 ≤ x ≤ 78 where x is a whole number

Hope that helps!

The steps to create a bar graph are explained below.

To match the two-way table to the segmented bar graph, we need to create a segmented bar graph that represents the data in the table. The table shows the percentage of students in each grade who voted for each mascot option.

Here is how we can match the two-way table to the segmented bar graph:

By creating a segmented bar graph that represents the data in the two-way table, we can visually compare the percentage of students who voted for each mascot option across different grade levels.

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The value of the variables in the right triangle are as follows;

A right triangle is a triangle that has one of its angles as 90 degrees.

The side of a right triangle can be found by using trigonometric ratios.

Therefore, let's find the variable length of the right triangle as follows;

sin 30 = opposite / hypotenuse

sin 30 = v / 3√2

1 / 2 = v / 3√2

cross multiply

3√2 = 2v

divide both sides by 2

v = 3√2 / 2

Let's find the variable w.

cos 30 = adjacent  / hypotenuse

cos 30 = w  / 3√2

√3 / 2 = w  / 3√2

cross multiply

√3 × 3√2 = 2w

3√6 = 2w

divide both sides by 2

w = 3√6 / 2

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Answer:

-49

Step-by-step explanation:

You subtract 348 from 299 and you get -49 which means she is in debt

Answer:

130°

Step-by-step explanation:

The exterior angle of a triangle is the sum of the interior angles.

Obviously the largest exterior angle will be the sum of the largest interior angles which are 60 and 70

So measure of largest exterior angle = 60 + 70 =130°

Answer:

Step-by-step explanation:

a.

The angles given are 62° and 90°.

We know sum of angles in any triangle is 180° so the third angle must be 180-90-62 = 28°

We can find the sides if we know trigonometric functions

sin28° = opp. side/ hypothenuse = CA/BA = 8/BA

BA = 8/sin 28° ≈ 17

tan62°= opp.side/adj.side= BC/AC = BC/8

BC = 8 · tan62° ≈ 15

b.

We are given 2 sides 8.5 and 6.5 and that one angle is right, so the triangle is a right triangle, therefore we can apply Pythagorean Theorem to find the third side.

6.5² +FD² = 8.5², subtract 6.5² from both sides

         FD² = 8.5²- 6.5², square and combine like terms

         FD² = 30, square-root both sides

          FD = √30

          FD ≈ 5.47722, round to the nearest tenth

          FD ≈ 5.5

We can find the angles if we know trigonometric functions.

sin ∡D = FE/DE = 6.5/8.5

     ∡D = sin^-1 (6.5/8.5)

    ∡D ≈ 49.9°

cos ∡E = FE/DE = 6.5/8.5

      ∡E = cos^-1 (6.5/8.5)

      ∡E ≈ 40.1°

The probability that all the guinea pigs selected randomly are pregnant is 1/30 or 0.033

Given, we have 10 guinea pigs out of which 4 are pregnant. We know that probability of an event ⇒ P(E) = (No of favorable outcomes)/(No of all outcomes) . So, The probability of selecting pigs that are pregnant is :

⇒ 4/10

Now, 3 selections are made randomly. The probability that the 1st selected guinea pig will be pregnant = 4/10

The probability that the 2nd selected guinea pig will be pregnant = 3/9

The probability that the 3rd selected guinea pig will be pregnant = 2/8

Therefore, the probability of all the 3 selected guinea pigs being pregnant will be :

⇒  (4/10) x (3/9) x (2/8)

⇒ 1/30

Therefore, The probability of all the selections of pigs being pregnant without replacement rounded to 3 decimal places is 0.033 or 1/30

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The complete question will be :

In a scientific study there are 10 guinea pigs,4 of which are pregnant. if 3are selected at random without replacement, find the probability that all are pregnant. enter your answer as a fraction or a decimal rounded to 3 decimal places.

i.  The position vector of X is 2b - a.

ii.  The position vector of Y is (3b + c)/4.

iii.  The ratio XY : Y Z is \(|(2b - a) - ((3b + c)/4)|/|((3b + c)/4) - (a + c)/2|\). Simplifying this expression will give us the final ratio.

i. To find the position vector x of point X, we can use the concept of vector addition. Since AB : BX = 2 : 1, we can express AB as a vector from A to B, which is given by (b - a). To find BX, we can use the fact that BX is twice as long as AB, so BX = 2 * (b - a). Adding this to the vector AB will give us the position vector of X: x = a + 2 * (b - a) = 2b - a.

ii. Similar to the previous part, we can express BC as a vector from B to C, which is given by (c - b). Since BY : YC = 1 : 3, we can find BY by dividing the vector BC into four equal parts and taking one part, so BY = (1/4) * (c - b). Adding this to the vector BY will give us the position vector of Y: y = b + (1/4) * (c - b) = (3b + c)/4.

iii. Z is the midpoint of AC, so we can find Z by taking the average of the vectors a and c: z = (a + c)/2. The ratio XY : YZ can be calculated by finding the lengths of the vectors XY and YZ and taking their ratio. Since XY = |x - y| and YZ = |y - z|, we have XY : YZ = |x - y|/|y - z|. Plugging in the values of x, y, and z we found earlier, we get XY : YZ =\(|(2b - a) - ((3b + c)/4)|/|((3b + c)/4) - (a + c)/2|\).

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Answer:

-1.36

Step-by-step explanation:

(-4^2/0.8-3)/10×-4/5=-1.36

Answer:

you have to get to a certain rank and receive an invitation  and then you submit a form

Step-by-step explanation:

Answer:

(48, 3), (80, 5), (160, 10)

It takes 10 minutes for the number of bacteria in the population to double.

To determine the time it takes for the number of bacteria in a population to double, we need to find the value of t when the function f(t) equals twice the initial number of bacteria.

The given function is f(t) = 60,000 * 2^(t/10).

To find the time it takes for the number of bacteria to double, we set f(t) equal to twice the initial number of bacteria, which is 2 * 60,000 = 120,000:

120,000 = 60,000 * 2^(t/10).

Next, we can simplify the equation by dividing both sides by 60,000:

2 = 2^(t/10).

Since both sides of the equation have the same base (2), we can equate the exponents:

t/10 = 1.

To solve for t, we multiply both sides by 10:

t = 10.

Therefore, it takes 10 minutes for the number of bacteria in the population to double.

This result is obtained by setting the growth rate of the bacteria population in the given function. The exponent t/10 determines the rate of growth, and when t is equal to 10, the exponent becomes 1, resulting in a doubling of the initial number of bacteria.

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Answer:

Reflex angle

Step-by-step explanation:

Properties of reflex angles:

1). Any angle measuring between 180° and 360°.

2). Other side of the reflex angle is either acute or obtuse angle.

By these properties,

Since, angle C measures more than 180° but less than 360° and opposite angle is an acute angle.

By these properties angle C and angle D are the reflex angles.

Answer:

20

Step-by-step explanation:

percentage error = predictions - actual ÷actual × 100

error

\( \frac{82 - 52 \\ }{52} \times 100\)

=

20

Answer:

6g/cm^3

Step-by-step explanation:

The density of the cube would be 6 grams/cm^3. I got this answer by first finding the volume of the cube, 2^3 which gives me 8 cm as the initial volume of the cube. Then, the 48 grams of mass the cube has allows me to divide 48 / 8 which gave me 6. And 6 would be the density of the cube in grams.

Answer: 6g/cm^3

Hope this helps!

Answer:

p = 6 g/cm³

Step-by-step explanation:

Given: cube sides= 2 cm and 48 g

To find: The cube's density

Formula: \({p} \frac{m}{V}\)

Solution: Measure the height, width, and depth of the shipment in inches.

Multiply the three measurements (height x width x depth).

Divide the total cubic inches by 1,728 (the number of cubic inches in a cubic foot).

Divide the weight (in pounds) of the shipment by the total cubic feet.

p = density

m = mass

V = volume

Answer:

8

Step-by-step explanation:

The square of a number square rooted is the number itself.

Answer:

d=0.14*n+3.

Step-by-step explanation:

if number of days is 'n' and the depth is 'd', then it is possible to make up the required expression:

d=0.14n+3.

Answer:

Step-by-step explanation:

rost beef 30-4=22

22-6=16

16-3=13

turky 13-3=10

          10-4=6

           6-6=0

Answer:

The circumference of a circle is the distance around the entire circle, while arc length, s, is the distance between two points on the circle.

C = 2πr = 2π( 5 ) = 10π ≈ 31.4 units

3.14 is an approximation for π.

s = θ/360° (C)

mAB = 60°/360° ( 31.4)

= 1/6(31.4) ≈5.2 units

Answer:

27.101

Step-by-step explanation:

Answer:

27.5 minutes

Step-by-step explanation:

22 x 1.25 = 27.5

Answer:

65

Step-by-step explanation:so when you use the mathmatical equatin with your problem you can see with the coefisint that your number would br the permiter of the mathamticle formula by adding this to the root of 25, therefore your answer is 65

Answer:

180

Step-by-step explanation:

The word HORSES has 6 distinct letters, so we can arrange them in 6! = 720 ways if all the letters were unique.

However, in this case, the letters E and S are repeated twice. Therefore, we must divide by the number of arrangements of the repeated letters to avoid counting the same arrangement more than once.

The letter E appears twice, so there are 2! = 2 ways to arrange the E's within the word. Similarly, the letter S appears twice, so there are 2! = 2 ways to arrange the S's within the word.

Thus, the total number of unique arrangements of the letters in the word HORSES is:

6! / (2! × 2!) = 720 / 4 = 180

Therefore, there are 180 unique arrangements of the letters in the word HORSES.