i was waking in a park yesterday when suddenly i heard lovely music comming for the ground. I gasped when I looked down because I saw 442 ants a beetles having a concert ¾ of the number of ants was equal to ⅓ of the number of beetles. how many ants did I see?

Answer:

Step-by-step explanation:

Area = height × side

21   = 3 * side

side = 7 cm

The side of a rhombus is half the longer diagonal

longer diagonal = 2*side =2*7=14cm

Answer:

10 i think

Step-by-step explanation:

Answer:

Notice that distance is always positive or 0. (-3)

Step-by-step explanation:

Answer:

1 cm and 18 cm

2 cm and 9 cm

3 cm and 6 cm

Step-by-step explanation:

We need to find the factors of 18
which are; 1,18; 2,9; 3,6
So therefore we'd pick:
1 cm and 18 cm

2 cm and 9 cm

3 cm and 6 cm

If water flows into the container at a constant rate of 6 cubic feet per minute, the rate at which the water level rising when the height of the water is 5 feet is; 0.688 ft/min

When we are given an equation that gives the relationship between two or more variables, then by differentiating the equation with respect to time would give us a new equation that involves the rate of change of each of the given variables.

We are given the dimensions of the tank as;

Radius; r = 4 feet

Height; h = 12 feet.

The water in the tank will also have a conical shape.

By similar triangles, we know that;

r/h = 4/12

r = h/3

Now the volume of the water is;

V = ¹/₃πr²h

Put h/3 for r in this volume equation to get;

V = ¹/₃π(h/3)²h

V = (1/27)πh³

Differentiating with respect to time gives;

dV/dt = (3/27)πh²(dh/dt)

We are given;

dV/dt = 6 cubic feet per minute

h = 5

Thus;

6 = (3/27)π(5²)(dh/dt)

dh/dt = 0.688 ft/min

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Step-by-step explanation:

s1 = 5

s2 = s1 × -2 = 5×-2 = -10

s3 = s2 × -2 = -10 × -2 = 20

...

now, we could do all that manually.

but there is also a formula for geometric sequence.

in fact, there are 2 - one for finite and one for infinite sequences.

and I was not completely honest, each of these 2 had some sub-forms depending on the size of the multiplier or ratio.

since we need the sum of the first 5 terms, which of the 2 do you think we need ?

of course, finite, because 5 is a normal number we can "touch". it is not infinity.

so, the formulas for finite sums of geometric sequences are :

if |r| < 1, Sn = a(1 - r^n)/(1 - r)

if |r| > 1, Sn = a(r^n - 1)/(r - 1)

if r = 1, Sn = na

if r = -1, then Sn = a or 0 depending on if n is odd or even.

the sequence is in general

s1 = a

sn = sn-1 × r

in our case a = 5, r = -2.

so, what form of the formula do we need ?

|-2| = 2, and 2 > 1, so ...

S5 = 5(-2^5 ‐ 1)/(-2 - 1) = 5(-32 - 1)/-3 = 5×-33/-3 =

= 5 × 11 = 55

quick check, as the 5 terms are

5

-10

20

-40

80

and their sum is : 55

correct !

Two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.

What is congruent?

Congruent refers to things that are exactly the same size and shape. Even if we flip, turn, or rotate the forms, the shape and size should remain the same.

Here,

we have to prove when can we say that the two triangles are congruent.

SSS, SAS, ASA, AAS, and HL.

These tests describe combinations of congruent sides and/or angles that are used to determine if two triangles are congruent.

Hence, two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.

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The given statement that, decimal, fraction, and percent can all represent the same values is True.

Verification of the True Statement:

The ratio of two numbers results in a fraction which are often rational numbers (often integers). As an illustration, 11/59 is a fraction. Typically, absolute values for fractions should be larger than 0 and less than 1. A mixed fraction equivalent to 1 3/4 is 7/4.

A fraction stated in tenths are known as a decimal (or tenths of tenths, etc.). The decimal equivalent of one fourth, or 1/4 as a fraction, is 0.25 (which equals 25/100). (Remember that 1/100 is just a tenth of a tenth.)

Percentage (percent) is a decimal fraction multiplied by 100. Therefore, 0.25 is equivalent to 25 percent, for instance. The ratio of two numbers results in fractions, which are often rational numbers (often integers).

Let us take a number 3/5, this is a fraction.

Now, if we further divide, 3 by 5, we will get 0.6

This 0.6 is a decimal number, but it still represents the number 3/5

Similarly, it is equivalent to 60 percent which again represent the fraction 3/5 or decimal 0.6.

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Answer:

To find the dimensions of a rectangle

Step-by-step explanation:

perimeter=302

let width=x

length=x+47

p=2(L+W)

302=2(x+x+47)

302=2(2x+47)

302=4x+94

subtracting 94 from the other side we have

302-94=4x

208=4x

x=52

length=99

width=52

Answer:

0

Step-by-step explanation:

-456 +456

( - , + ) = -

so answer is 0

Answer:

0

Step-by-step explanation:

bc i know

Answer:

345 + C

Step-by-step explanation:

From the first sentence, we know that Mike moved a total of:

           345chairs

In the second sentence, we know that Gavin moved C more chairs than Mike;

 Mathematically;

Number of chairs moved by Galvin;

                    345 + C

Therefore, in terms of C, the number of chairs moved by Gavin is:

              345 + C

The Solutions for given inequalities are -2, 5, and -4

Inequalities are algebraic expressions in which both sides are not equal to each other. In inequality, we compare two values with signs like less than (<) (or less than or equal to), greater than (>) (or greater than or equal to), or not equal to sign(≠), etc.

Here we have three inequalities

m -1 < -3, - 4y < - 20, and 5 + b > 1  

We can solve each equation and can give a graph as given below

m -1 < -3  

Add 1 on both sides

=> m - 1 + 1 < -3 + 1

=> m < -2

- 4y < - 20  

Divide both sides with - 4 on both sides

=> - 4y/4 < - 20/4

=>  -y  < - 5

Multiply with -1 on both sides

=> -1(-y) < -5(-1)

=>   y < 5

5 + b > 1  

Subtract - 5 on both sides

=> 5 + b - 5 > 1 - 5

=> b > -4

Therefore,

The Solutions for given inequalities are -2, 5, and -4

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9514 1404 393

Answer:

  (c)  1/(36·a^4·b^10)

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)/(a^c) = a^(b-c)

  (a^b)^c = a^(bc)

  a^-1 = 1/a

__

  \(\left(\dfrac{(2a^{-3}b^4)^2}{(3a^5b)^{-2}}\right)^{-1}=\dfrac{(3a^5b)^{-2}}{(2a^{-3}b^4)^2}=\dfrac{3^{-2}a^{-10}b^{-2}}{2^2a^{-6}b^8}=\dfrac{1}{3^22^2}a^{-10-(-6)}b^{-2-8}\\\\=\boxed{\dfrac{1}{36a^4b^{10}}}\)

Answer:

not sure but -2

Step-by-step explanation: I did on calculator

\(2x - y \\ 2(5) - ( - 5) \\ 10 + 5 \\ 15\)

PLEASE GIVE BRAINLIEST

\( \bf \color{gold} \frac{2}{4} \div \frac{5}{7} = \)

\( \tt\frac{2}{4} \times \frac{7}{5} = \)

\( \tt \frac{14 \div 2}{20 \div 2} = \)

\( \tt {\boxed{ \color{blue}{ {\frac{7}{10}}}}}\)

THE RESULT IS 7/10

Answer:

The solution is:

Step-by-step explanation:

2/4÷5/7

= 2/4×7/5

= 1/2×7/5

= 7/10

2/4×7/5

= 1/2×7/5

= 7/10

Answer:

A. what is the profit made by the retailer if he sells the article to the customer at the catalogue price?

10000

B.What profit is made by the manufacturer if the catalogue price is 50% above the manufacturing price?

25000

Total number of possible outcomes:

Number of ways to choose 3 numbers from 56 (56 choose 3): 56! / (3! * (56 - 3)!) = 22,957

Number of ways to choose 1 number from 49: 49

Total number of possible outcomes = 22,957 * 49 = 1,128,593

Number of favorable outcomes:

Number of ways to choose 1 number from 49: 1

Number of favorable outcomes = 1

Probability of winning the minimum award:

Probability = Number of favorable outcomes / Total number of possible outcomes

Probability = 1 / 1,128,593 ≈ 0.000000888, or approximately 0.0000888%

Answer:

f(x) \(\leq\) 3x + 4

g(x)  ≥ -1/2x - 5

Step-by-step explanation:

Point D is below f(x)  and above g(x)

Helping in the name of Jesus.

Answer:

y=54 degrees

Step-by-step explanation:

2y+72=180

2y=108

y=54

Answer:

B

Step-by-step explanation:

72 + y + y = 180

72 + 2y = 180

2y = 108

2y/2 = 108/2

y = 54

Hope this helps ^-^

Answer: x=-9

Step-by-step explanation:

I was wrong originally looked again and here we are me questioning my existence as human being and the other person is right of x= -9. I used desmos took m advice and just plugged in the \(\sqrt[5]{32}x^{5}\) and made it equal to \(\sqrt[5]{(3x+9)^5}\) by writing them as seperate equation on desmos and they collide on the point  (-9, -18) which proves the other person work

187.6miles

Step-by-step explanation:

blue ridge parkway is 469miles

sam drove 2/5 of the parkway

2/5×469

=469×2/5

938/5

187.6miles

The volume of the squared pyramid is 9 cubic yards, so the correct option is D.

For a square pyramid of sidelength S (S is the sidelength of the square base), the volume is given by the formula:

V = (1/3)*S^3

Here we want to find the volume if S = 3 yards, so we just need to replace that in the formula above to get the volume of the sculpture, we will get:

V = (1/3)*(3 yd)^3

V = (1/3)*(27 yd^3)

V = 9 yd^3

The volume is 9 cubic yards, then the correct option is D.

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Answer:

- Banking Operations salary in India with less than 1 year of experience to 10 years ranges from ₹ 1.4 Lakhs to ₹ 7 Lakhs with an average annual salary of ₹ 3.1 Lakhs based on 261 latest salaries

The difference between the distance travelled by any point on the record and it's label is; 27.57cm.

According to the task content, it follows from observation that the quantity required is the difference between the circumference in each case and can be evaluated as follows;

Difference = π(17.78 - 9)

Difference = (22/7) × 8.78

Difference = 27.57cm.

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Answer:

1/216

Step-by-step explanation:

\( \frac{1}{6} \div 6 \div 6\)

\( \frac{1}{6} \div \frac{6}{1} \div \frac{6}{1} \)

\( \frac{1}{6} \times \frac{1}{6} \times \frac{1}{6} \)

\( \frac{1}{216} \)

Answer:

r = 12

Step-by-step explanation:

The different transformations have been matched to their respective operations below.

Parent function is given as: f(x) = 2x - 6

Thus, the transformations are:

When f(x) shifts 4 units down, we have;

f(x) → f(x) - 4

⇒ g(x)= 2x - 6 - 4 = 2x - 10

When it stretches f(x) by a factor of 4 away from the x-axis;

f(x) → 4*f(x)

⇒ g(x) = 4(2x - 6) = 8x - 24

When it shifts f(x) 4 units right;

f(x) → f(x - 4)

⇒ g(x) = 2(x - 4) - 6 = 2x - 14

When it compresses f(x) by a factor of 4 toward the y-axis;

f(x) → f(4x)

⇒ g(x) = 2*4x - 6 = 8x - 6

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Answer: k= 30

Step-by-step explanation:   (7/10) 7/10k = 21 (7/10)

                                                    K= 31/1

                                                     K=31

Using the formula of volume of a sphere and hemisphere, the volume of the figures are given as;

1. 2144.57 m³

2. 696.6 m³

3. 20569.1m³

4. 2637ft³

5. 56.5km³

6. 6381.79 in³

The volume of a sphere is given as 4/3πr³

Where π is a constant whose value is equal to 3.14 approximately. “r” is the radius of the hemisphere.

1. The volume of the sphere is;

v = 4/3 * 3.14 * 8³ = 2144.57m³

2. The volume of the sphere is;

v = 4/3 * 3.14 * (11/2)³ = 696.6m³

3. The volume of the sphere is;

v = 4/3 * 3.14 * 17³ = 20569.1m³

4. The volume of the hemisphere is;

v = 2/3 * 3.14 * 10.8³ = 2637ft³

5. The volume of the hemisphere is;

v = 2/3 * 3.14 * 3³ = 56.5km³

6. The volume of the hemisphere is;

v = 2/3 * 3.14 * (29/2)³ = 6381.79in³

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