60 students are in grade 1, but only 30 students are kindergarten. What is the ratio of grade 1 students to kindergarte students? * Your answer​

Answer:

-14 is the correct answer

Answer:

Given function is,

To find the average rate of change of f on [-3, 2]

we know that, average rate of change of a function a on the two points x=a and x=b is,

Using this we get,

Average rate of change is,

Average rate of change is -7

Answer is: -7

The approximate volume of the cone with a radius of 1.75 feet and a height of 2.1 feet is approximately 6.478875 cubic feet.

To calculate the approximate volume of a cone, you can use the formula:

Volume = (1/3) * π * r^2 * h,

where r represents the radius of the cone's base and h represents the height of the cone.

Given that the radius (r) is 1.75 feet and the height (h) is 2.1 feet, we can substitute these values into the formula:

Volume = (1/3) * π * (1.75)^2 * 2.1

To calculate the approximate volume, we'll use the value of π as approximately 3.14:

Volume ≈ (1/3) * 3.14 * (1.75)^2 * 2.1

Now, we can perform the calculations:

Volume ≈ (1/3) * 3.14 * 3.0625 * 2.1

≈ 1.047 * 3.0625 * 2.1

≈ 6.478875

Therefore, the approximate volume of the cone with a radius of 1.75 feet and a height of 2.1 feet is approximately 6.478875 cubic feet.

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Answer:

10/26 is equivalent to 5/13. and i think 2:2 is equivalent to 1

Step-by-step explanation:

Answer:

Step-by-step explanation:

a) To find the initial velocity, $V_0$ of the bullet, we can use the formula for maximum height,$h$ attained by an object when it's thrown straight up into the air.$$\begin{aligned} h &= \frac{V_0^2}{2g} \\ V_0^2 &= 2gh \\ V_0 &= \sqrt{2gh} \end{aligned}$$where $g$ is the acceleration due to gravity. We can plug in the value of $h=946 \mathrm{~m}$ and $g=9.8 \mathrm{~m/s^2}$ and solve for $V_0$.$$ V_0 = \sqrt{2gh} = \sqrt{2 \cdot 9.8 \mathrm{~m/s^2} \cdot 946 \mathrm{~m}} \approx \boxed{437.0 \mathrm{~m/s}}$$Therefore, the initial velocity of the bullet was approximately $437.0 \mathrm{~m/s}$.

b) To find the time of flight, $t$ for when the bullet travels up and then returns to the ground, we can use the formula for the time of flight,$t$.$$t = \frac{2V_0}{g}$$where $g$ is the acceleration due to gravity. We can plug in the value of $V_0=437.0 \mathrm{~m/s}$ and $g=9.8 \mathrm{~m/s^2}$ and solve for $t$.$$ t = \frac{2V_0}{g} = \frac{2\cdot437.0 \mathrm{~m/s}}{9.8 \mathrm{~m/s^2}} \approx \boxed{89.0 \mathrm{~s}}$$Therefore, the time of flight for the bullet was approximately $89.0 \mathrm{~s}$.

Answer:

17% the next chew Casho pulls out is pineapple

Step-by-step explanation:

pineapple chew 9/54

lemon chew 15/54

lime chew 30/54

9/54 = 0.1666666... make this a percent and you get 17% of the time Casho will pull out a pineapple chew.

Answer:

...................................................................

Step-by-step explanation:

Answer:

\(\frac{7}{20}\) or 0.35

Step-by-step explanation:

\(\frac{3}{4} * \frac{7}{20} \\3*7=21\\4*15=60\\\frac{21}{60} \\\)

Now simplify.

\(\frac{21}{60}\) = \(\frac{7}{20}\)

Answer:

4.

y = -1/6 * x - 7/3

Step-by-step explanation:

We can just check:

1.

y =  -1/6 * x

this doesn't work for x = -2 and y = -2 (first point) because we get

-2 = -1/6 * -2 = 1/3

this is nonsense

2.

y = -6x - 3/7

this doesn't work for x = -2 and y = -2 (first point) because we get

-2 = -6 * -2 - 3/7 = 12 - 3/7 = 11 + 4/7

this is nonsense

3.

y = -6x

this doesn't work for x = -2 and y = -2 (first point) because we get

-2 = -6 * -2 = 12

this is nonsense

4.

y = -1/6 * x - 7/3

this works for x = -2 and y = -2 because

-2 = -1/6 * -2 - 7/3 = 2/6 - 7/3 = 1/3 - 7/3 = -6/3 = -2

it also works for x = 4 and y = -3 because

-3 = -1/6 * 4 - 7/3 = -4/6 - 7/3 = -2/3 - 7/3 = -9/3 = -3

Answer:

{-27, -11, 21}

Step-by-step explanation:

\(x=-2 \implies y=-8(-2)+5=21 \\ \\ x=2 \implies y=-8(2)+5=-11 \\ \\ x=4 \implies y=-8(4)+5=-27\)

There were 14-floor seat tickets sold to their spring play.

A linear equation is defined as an equation in which the highest power of the variable is always one.

Let's assume x be floor seat tickets and y be balcony seats

As per the given formation, the equation would be as:

x + y = 800  ....(i)

110x + 8y = 7740 ...(ii)

Multiply by 8 into equation (i), and subtract into equation (ii),

110x + 8y - 8x - 8y = 7740 - 6400

102x = 1340

x = 1340/102

x = 13.7 ≈ 14

Therefore, there were 14-floor seat tickets sold.

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Answer:

Θ ≈ 22.6°

Step-by-step explanation:

Using the cosine ratio in the right triangle

cosΘ = \(\frac{adjacent}{hypotenuse}\) = \(\frac{AC}{AB}\) = \(\frac{12}{13}\) , thus

Θ = \(cos^{-1}\) (\(\frac{12}{13}\) ) ≈ 22.6° ( to the nearest tenth )

The molecular theory of magnetism states that ferromagnetic materials are made up of a very large number of molecular domains that can be arranged in either a disorganized or organized manner.

Ferromagnetic materials are those that exhibit a strong magnetic attraction in the presence of an external magnetic field. This attraction is due to the alignment of the magnetic moments of the individual molecules within each domain.
In a disorganized arrangement, the magnetic domains are randomly oriented, and the material exhibits little to no net magnetization. However, when the domains are organized, such as in the case of a magnetized ferromagnetic material, the magnetic moments of the individual molecules within each domain are aligned in the same direction, resulting in a strong net magnetic field.
The organization of these molecular domains is influenced by factors such as temperature, magnetic field strength, and the presence of impurities or defects in the material. Understanding the molecular theory of magnetism is crucial for the development and application of magnetic materials in various fields such as electronics, energy, and medicine.

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Answer:

To make only 12% profit, the discount should be increased to 16%

Step-by-step explanation:

The given information are;

The percentage discount on goods = 10%

The profit made from the sale of the watch = 20%

The amount the watch was sold = Rs.10,710

The percentage VAT included = 13%

Let the recommended selling price of the watch = X

Therefore, we have;

The price after 10% discount = 0.9×X

Which gives;

The amount the watch was sold = Price after 10% discount + Price after 10% discount ×VAT

The amount the watch was sold = 0.9×X + 0.9×X×13% = 0.9×X + 0.9×X×0.13

Rs.10,710 = 0.9×X + 0.9×X×0.13 = 1.017×X

X = Rs.10,170/1.017 = Rs. 10,000

The recommended selling price of the watch = Rs. 10,000

The profit was 20% of selling price which gives;

Profit = Selling price - Cost price = Rs. 9,000  - Rs. X = 0.2 × Rs. X

9000 - X = 0.2×X

9000 = X + 0.2×X  = 1.2×X

X = 9000/1.2 = Rs. 7,500

To make only 12% profit, we have;

12% of Rs. 7,500 = 0.12 × Rs.7,500 = Rs. 900

Selling price = Cost price + Profit = Rs. 7,500 + Rs. 900 = Rs. 8,400

Percentage discount from Rs.10,000 to get Rs. 8,400 is given as follows;

Percentage discount = Y%

Therefore;

Y = (10,000 - 8,400)/10000 × 100 = 0.16 × 100 = 16%

Y = 16%

Therefore, to make only 12% profit, the discount should be increased to 16%.

To determine the height of the tree using proportions, we can set up a ratio between the lengths of the shadows and the corresponding heights.

Let's assume:

Andy's height: 5.6 ft

Andy's shadow length: 4.2 ft

Tree's shadow length: 42.3 ft

Unknown tree height: x ft

The proportion can be set up as follows:

(Height of Andy) / (Length of Andy's shadow) = (Height of the tree) / (Length of the tree's shadow

Substituting the given values:

(5.6 ft) / (4.2 ft) = x ft / (42.3 ft)

To solve for x, we can cross-multiply:

(5.6 ft) * (42.3 ft) = (4.2 ft) * (x ft)

235.68 ft = 4.2 ft * x

Now, divide both sides of the equation by 4.2 ft to isolate x:

235.68 ft / 4.2 ft = x

x ≈ 56 ft

Therefore, the estimated height of the tree is approximately 56 feet.

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Answer:

\(\sf t_{20}= 0\)

Step-by-step explanation:

      \(\sf \boxed{\bf n^{th} \ term = a + (n-1)d}\\\\\text{Here, a is the first term ; d is the common difference }\)

6th term is 14 ⇒ \(\sf t_6 = 14\)

                a + (6 - 1)d = 14

                    a  +  5d = 14  --------------(I)

14th term is 6 ⇒\(\sf t_{14} = 6\)

             a + (14-1)d = 6

                  a + 13d = 6 ----------------(II)

Subtract equation (II) from equation(I)

        (I)          a + 5d = 14

        (II)         a + 13d = 6

                    -    -          -

                            -8d = 8

                               d  = 8 ÷(-8)      

                              \(\sf \boxed{\bf d= (-1)}\)

Plugin d = -1 in equation (I)

a + 5(-1) = 14

      a -5  = 14

             a = 14 + 5

             \(\sf \boxed{\bf a = 19}\)  

20th term:

 \(\sf t_{20}= 19 + 19*(-1)\)

       = 19 - 19

   \(\sf \boxed{\bf t_{20} = 0}\)

Answer:

0

Step-by-step explanation:

The number of terms of an Arithmetic progressions has the formular.

Tn = a + ( n - 1 ) d

From the question,

6th term = 14

14th term = 6

Therefore,

a + 5d = 14 -----------(1)

a + 13d = 6 ----------(2)

subtracting

-8d = 8

dividing bothsides by -8

\( \frac{ - 8d}{ - 8} = \frac{8}{ - 8} \\ d = - 1\)

Therefore,

common difference= -1

substituting the value of d into equation (1)

a + 5 ( -1) = 14

a - 5 = 14

a = 14 + 5 = 19

First term = 19

For the 20th term

T 20 = a + 19d

19 + 19 ( -1 )

19-19 = 0

Therefore,

20th term = 0

The measure of arc BC is 720 times the measure of angle BAC.

Given that AC is the diameter of the circle and AB is a chord with a length of 16 units, we need to find BC (the length of the other chord) and mBC (the measure of angle BAC).

To find BC, we can use the property of chords in a circle. If two chords intersect within a circle, the products of their segments are equal. In this case, since AB = BC = 16 units, the product of their segments will be:

AB * BC = AC * CE

16 * BC = 2 * r * CE (AC is the diameter, so its length is twice the radius)

Since the area of the circle is given as 289 square units, we can find the radius (r) using the formula for the area of a circle:

Area = π * r^2

289 = π * r^2

r^2 = 289 / π

r = √(289 / π)

Now, we can substitute the known values into the equation for the product of the segments:

16 * BC = 2 * √(289 / π) * CEBC = (√(289 / π) * CE) / 8

To find mBC, we can use the properties of angles in a circle. The angle subtended by an arc at the center of a circle is double the angle subtended by the same arc at any point on the circumference. Since AC is a diameter, angle BAC is a right angle. Therefore, mBC will be half the measure of the arc BC.

mBC = 0.5 * m(arc BC)

To find the measure of the arc BC, we need to find its length. The length of an arc is determined by the ratio of the arc angle to the total angle of the circle (360 degrees). Since mBC is half the arc angle, we can write:

arc BC = (mBC / 0.5) * 360

arc BC = 720 * mBC

Therefore, the length of the arc BC equals 720 times the length of the angle BAC.

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\(-3x-2(5x-7)=-12\\-3x-10x+14=-12\\-13x=-26\\x=2\\\\y=5(2)-7\\y=10-7\\y=3\)

Answer:

\((x, y) = (-\frac{29}{2}, -12)\)

Step-by-step explanation:

\(-12 = 5 x ( -\frac{29}{2} ) - 7 - 3 x ( -\frac{29}{2} ) - 2 x (-12) = -12\)

By using Binomial probability distribution, the mean number of adults who would have bank savings accounts is 32.

For every survey, there are only two possible outcomes.

First- they have bank savings accounts,

second- they do not.

So, by using the binomial probability distribution we can solve this problem.

Probability of exactly Y successes in ‘n’ repeated trials, with ‘p’ probability.

Probability = p

Successes repeated = n  times

The  value of the binomial distribution is:

E(Y) = n x p

In this problem, we have that:

p = 0.64

If we were to survey among 50 randomly selected adults, the mean number of adults who would have bank savings accounts is,

E(Y) when, n = 50

So,

E(Y)= n x p

= 50 x 0.64

= 32

Hence ,our required answer is 32 adults who would have bank savings accounts

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Answer:

1/x^2

Step-by-step explanation:

(x^3y^2)^4x^2y^5/ x^16y^13

x^14y^13/x^16y^13

=1/x^2

The inequality that could represent the possible values for the number of tickets sold will be 6.5s + 11.5a ≥ 1300.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The dramatization club is offering passes to their play to fund-raise for the show's costs. Every understudy ticket sells for $6.50 and every grown-up ticket sells for $11.50. The dramatization club should make at least $1300 from ticket deals to take care of the show's expenses.

Let 's' and 'a' be the number of tickets sold to students and adults, respectively. Then the inequality is given as,

6.5s + 11.5a ≥ 1300

The inequality that could represent the possible values for the number of tickets sold will be 6.5s + 11.5a ≥ 1300.

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The solution used to make 40% of salt solution is 12 grams and 70% of salt solution is 8 grams.

Let us consider 'a' represents the 40% of salt in water.

And 'b' represents the 70% of salt in water.

Total salt required to make 52% salt solution = 20 grams

Required equations is :

a + b = 20

⇒ a = 20 - b  ___( 1 )

40% of a + 70% of b = 52% of  20 grams

⇒ 0.40a + 0.70b = 10.4 ___( 2 )

Substitute the value of 'a' in equation ( 2 ) from (1) we get,

0.40( 20 - b ) + 0.70b = 10.4

⇒8 - 0.40b +  0.70b = 10.4

⇒ 0.30b = 10.4 - 8

⇒ b = 2.4 / 0.30

⇒ b = 8

⇒ a = 12

Therefore, the solution used by Serena for 40% is 12 grams and 70% solution is 8 grams.

The above question is incomplete , the complete question is:

Serena is making an experiment. For that, she needs 20 grams of a 52% solution of salt. She has two large bottles of salt water: one with 40% and the other with 70% of salt in them. How much of each must she use to make the solution she needs?

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Answer: Instead of 1+1+1 to my understanding you would put

3+3+3.

Step-by-step explanation:

The equation of the function is (d) g(x) = 4ˣ ⁻ ⁴ + 2

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

The functions f(x) and g(x)

In the graph, we can see that

f(x) = 4ˣ

The transformation on the graph is

This means that

g(x) = f(x - 4) + 2

Recall that

f(x) = 4ˣ

So, we have

g(x) = 4ˣ ⁻ ⁴ + 2

This means that the equation of the function is g(x) = 4ˣ ⁻ ⁴ + 2

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Using the associative property of addition, we can write the given equation as follows:

Answer: option 2.

Answer:

(\(\frac{2}{3} , \frac{1}{5}\))

Step-by-step explanation:

The fastest way to do this is to convert both equations into slope-intercept form and graph it to find the solution point. If you wanted to do this algebraically, you might want to start out by getting rid of the fractions and using either substitution or elimination to find x and y.

Answer:

No

Step-by-step explanation:

x=(b-5)/c≠(5-b)/c

supposedly

b=6

c=1

x=6-5/1=1

x=5-6/1= -1

1≠ -1

Answer:

No

Step-by-step explanation:

x = b - 5 / L equal to - (5 - b) / L

The proportion of candy bars with fewer than 200 calories cannot be determined without additional information.

To calculate the proportion of candy bars with fewer than 200 calories, we need to know the total number of candy bars and the number of candy bars that have fewer than 200 calories.

Without this information, we cannot determine the proportion. The number of candy bars with fewer than 200 calories could vary greatly depending on the specific dataset or context.

The proportion of candy bars with fewer than 200 calories cannot be determined without additional information regarding the total number of candy bars and the number of candy bars that fall into that category.

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Adam will need 512 cubic feet of packing peanuts to fill his brother's bedroom.

What is cube?

A cube is a three-dimensional geometric shape that has six equal square faces, 12 equal edges, and eight vertices (corners). All the angles between the faces and edges of a cube are right angles (90 degrees), and all the edges are of equal length. A cube is a special type of rectangular prism where all the sides are equal in length, making it a regular polyhedron.

The volume of a cube is calculated by raising the length of one of its sides to the third power. In this case, the side length is 8ft.

So, the volume of the cube is:

8³ = 512 cubic feet

Therefore, Adam will need 512 cubic feet of packing peanuts to fill his brother's bedroom.

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the answer is n=10

the answer is n=10

the answer is n=10

the answer is n=10

the answer is n=10