55) Lenny has $3.69 in pennies,
dimes, and quarters. The number
of pennies is three more than
the number of dimes. The number
of quarters is twice the number
of dimes. How many each coin does
he
have?

Answer: 13.900

Step-by-step explanation:

The multiplicative rate of change of the function will be 2/3. Then the correct option is B.

Let a be the initial value and x be the power of the exponent function and b be the increasing factor.

The exponent is given as,

y = a(b)ˣ

At (1, 6), then we have

6 = a(b)¹

6 = ab             ...1

At (2, 4), then we have

4 = a(b)²

4 = ab             ...2

Divide equation 2 by equation 1, then we have

ab² / ab = 4 / 6

b = 2 / 3

The multiplicative rate of change of the function will be 2/3. Then the correct option is B.

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Answer:

0.6

Step-by-step explanation:

Answer:

5 in each pile, 1 left over

Answer:

51% of the money was spent, that is, 51/100. In conclusion, Jemina still has 49/100 of the money available.

Step-by-step explanation:

Since Jemima received $ 5 in pocket money, and spent $ 1.75 on a magazine and $ 0.80 on a drink, to determine the proportion of money he spent and the proportion he has left, the following calculation must be performed:

5 - (1.75 + 0.80) = X

5 - 2.55 = X

2.45 = X

5 = 100

2.55 = X

(2.55 x 100) / 5 = X

255/5 = X

51 = X

Therefore, 51% of the money was spent, that is, 51/100. In conclusion, Jemina still has 49/100 of the money available.

Answer:

x = 50

Step-by-step explanation:

Creating an equation to solve for x using basic geometry rules

Angles in a triangle always add up to 180 degrees.

This means that x + 2x - 10 + 40 must be equal to 180

Solving for x algebraically

x + 2x - 10 + 40 = 180

==> combine like terms

3x + 30 = 180

==> subtract 30 from both sides

3x = 150

==> divide both sides by 3

x = 50

Checking our answer by plugging in x and seeing if the equation created is true

x + 2x - 10 + 40 = 180

==> plug in x = 50

50 + 2(50) - 10 + 40 = 180

==> multiply 2 and 50

50 + 100 - 10 + 40 = 180

==> combine like terms

180 = 180 ( this is true so the answer is indeed x = 50 )

SOLUTION -:

Solve for x

Required Answer -;

By using Sum of triangle property

Let's Begin -:

\( \displaystyle \: x \: + 2x - 10 + 40 = 180 \degree\)

\( \displaystyle \: 3x - 30 = 180 \degree \\ 3x = 180 \degree \: - 30\)

\( \displaystyle \: 3x \: = 150 \degree \\ x \: = \frac{150}{3} \)

\( \bold{x = 50 \degree}\)

thus , the value of x is 50° Ans

Answer:

  80 days

Step-by-step explanation:

For each of the 5 meat choices, there are 4 vegetable choices, so a total of 5·4 = 20 meat/vegetable combinations.

For each of those, there are 4 sauce choices, so a total of ...

  20·4 = 80

meat/vegetable/sauce combinations.

If a different one is ordered each day, it will take Alex 80 days before he must repeat an order.

Answer: X=6

Step-by-step explanation:

Answer:

its 6 i took the test

Step-by-step explanation:

Answer:

The correct answer is 385

Step-by-step explanation:

Just add all of the negative results together.

Hope this helps:) Goodluck!

Answer:

400

Step-by-step explanation:

given that 25 and 375 are negative result if we sum them up that should be 400

Answer: y = 5x-2

Step-by-step explanation:

Answer:

13 days

Step-by-step explanation:

fractions 72/5÷ 11/10

72/5 × 10/11

72×2/11=144/11=13 1/11

Using functions,

Part A: f (3) = 6(3) + 14 = 32.

g (3) = 3 + 2 = 5

Part B: (f/g) (3) will be 6.4.

The core concept of calculus in mathematics is a function. The relations are certain kinds of the functions. In mathematics, a function is a rule that produces a different result for every input x. In mathematics, a function is represented by a mapping or transformation. Letters like f, g, and h are widely used to indicate these operations. The set of all potential values that can be passed into a function while it is specified is known as the domain. The entire set of values that the function's output is capable of creating is referred to as the "range." The range of potential values for a function's outputs is known as the co-domain.

Here in the question,

f (x) = 6x + 14

g (x) = x + 2

Now we have to find for the value of x,

f (3) = 6(3) + 14 = 32.

g (3) = 3 + 2 = 5

So, f (3) = 32 and g (3) = 5.

Now,

(f/g) (3) will be 32/5 = 6.4.

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Answer: The angulier expression

Step-by-step explanation:

The dimensions of the garden that create the maximum area are 5 meters by 15 meters, and the maximum possible area is 75 square meters

What is measurement?

Measurement is the process of assigning numerical values to physical quantities, such as length, mass, time, temperature, and volume, in order to describe and quantify the properties of objects and phenomena.

Let's assume that the rock wall is the width of the garden and the wire fencing is used for the length and the other two sides. Let's denote the length of the garden as L and the width as W.

Since we have 30 meters of fencing available, the total length of wire fencing used is:

L + 2W = 30 - W

Simplifying this equation, we get:

L = 30 - 3W

The area of the garden is:

A = LW

Substituting the expression for L from the previous equation, we get:

A = W(30 - 3W)

Expanding the expression, we get:

A = 30W - 3W²

To find the maximum area, we need to take the derivative of A with respect to W and set it equal to zero:

dA/dW = 30 - 6W = 0

Solving for W, we get:

W = 5

Substituting this value back into the expression for L, we get:

L = 15

Therefore, the dimensions of the garden that create the maximum area are 5 meters by 15 meters, and the maximum possible area is:

A = 5(15) = 75 square meters

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Answer:

Prime numbers less than 20 are 2, 3, 5, 7, 11, 13, 17 and 19

Step-by-step explanation:

\(\\ \rm\hookrightarrow sinY=\dfrac{P}{H}=\dfrac{9.6}{29.6}=0.32\)

\(\\ \rm\hookrightarrow cosY=\dfrac{B}{H}=\dfrac{28}{29.6}=0.94\)

\(\\ \rm\hookrightarrow tanY=sinY/cosY=0.34\)

Answer:

\(\sf \tan B=0.34\)

\(\sf \cos B=0.95\)

\(\sf \sin B=0.32\)

Step-by-step explanation:

Trigonometric ratios

\(\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}\)

where:

If ΔXYZ ~ ΔACB then ∠B = ∠Y

From inspection of ΔXYZ:

\(\sf \implies \tan B = \tan Y = \dfrac{9.6}{28}=0.34\)

\(\sf \implies \cos B = \cos Y = \dfrac{28}{29.6}=0.95\)

\(\sf \implies \sin B = \sin Y = \dfrac{9.6}{29.6}=0.32\)

Answer: I think the answer is 120

Step-by-step explanation:

I'm not sure tho

The sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."

To translate the inequality expression "2/3y - 9 < y + 1" into a sentence, we can break it down into smaller parts:

"2/3y" represents two-thirds of a number.

"9" represents the number nine.

"y + 1" represents the number increased by one.

Now let's construct the sentence:

"Nine less than two-thirds of a number" - This refers to the expression "2/3y - 9," indicating that we have subtracted nine from two-thirds of a number.

"is less than" - This is the comparison symbol in the inequality.

"the number" - This refers to the expression "y + 1," representing the number increased by one.

Combining these parts, we form the sentence: "Nine less than two-thirds of a number is less than the number."

Hence, the correct sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."

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The problem says that the band raised $2000 and wants to divide it equally among the members of the band, then, we must divide the raised value by the number of members (not given), which we will represent as "m". That division will be

As we can see it's a correct expression, let's do a simple test, let's suppose it's a 4-members band, then m = 4. If we want to divide 2000 equally to 4, each member will receive 500, using our expression

As we expected.

Therefore, the correct answer is the letter B.

The expression to represent the area of the flag as a sum of areas of each section is 2*x + 2(\(1\frac{1}{2}\) ) + 3*(x + \(1\frac{1}{2}\) )  .

In the question ,

a flag is given that have three colors ,

we have to find an expression for the area of the flag .

For the Green Part ;

the length is 2 units ,

and the width is x units .

So ,the area of the green part is = 2*x .

For the Orange Part ;

the length is 2 units ,

and the width of the orange part is = \(1\frac{1}{2}\) units ,

So , the area of the orange part is = 2(\(1\frac{1}{2}\) ) units .

For the Purple part ;

the length is = 3 units ,

and the width is = (x + \(1\frac{1}{2}\) ) units .

So , the area of the purple part is = 3*(x + \(1\frac{1}{2}\) ) units .

So the area of the flag is = area of ( Green part + Orange Part + Purple Part) .

Substituting the values ,

we get ,

Area = 2*x + 2(\(1\frac{1}{2}\) ) + 3*(x + \(1\frac{1}{2}\) ) .

Therefore , the expression for the area is 2*x + 2(\(1\frac{1}{2}\) ) + 3*(x + \(1\frac{1}{2}\) )  .

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Answer:

you will get 0 apples my dear

The equation for the relationship between the number of bracelets made and the number of beads is y = 21x.

First, the rate of change

= (483 - 210) / (23 - 10)

= 273 / 13

= 21

So, the equation for the relationship between the number of bracelets made and the number of beads used.

(y - 210) = 21 (x-  10)

y - 210 = 21x - 210

y = 21x

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Okay, here we have this:

Considering the provided information, we are going to calculate hte requested value of the balance, so we obtain the following:

Then we will substitute in the compound interest formula with the given information, and we have:

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

A = 1,200.00(1 + 0.026/1)^(1*2)

A = 1,200.00(1 + 0.026)^(2)

A = 1,200.00(1 .026)^(2)

A ≈ $1,263.21

Finally we obtain that the correct answer is the option B.

Answer:

53\(x_{123}\) == 134 cf

Step-by-step explanation:

A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a​

The height of the building is approximately 78.63 meters.

The following is a step-by-step explanation of how to solve the problem. We'll need to use some trigonometric concepts and formulas to find the solution.

Therefore, the height of the building is approximately 78.63 meters.

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Answer:

Pentagon a = 4.9 in. s = 7.1 in. /l ;/ >cvr'-. ~ j-?.1· '19~~. 5) Octagon a = 20.8 m s= 17.2m. ,4 ~;.>a-rt. ::: i, 17. z • t~f "g. ~ :::::, l'/?1 ,0 nt z, ... What is the length of the apothem to the nearest whole number

Step-by-step explanation:

Pentagon a = 4.9 in. s = 7.1 in. /l ;/ >cvr'-. ~ j-?.1· '19~~. 5) Octagon a = 20.8 m s= 17.2m. ,4 ~;.>a-rt. ::: i, 17. z • t~f "g. ~ :::::, l'/?1 ,0 nt z, ... What is the length of the apothem to the nearest whole number

Answer:

We have the coldest value of temperature \(T(\frac{3}{4},0) = -9/16 \). and the hottest value is \(T(-(3/4),\frac{\sqrt{7}}{4})=\frac{5}{16}\).

Step-by-step explanation:

We need to take the derivative with respect of x and y, and equal to zero to find the local minimums.

The temperature equation is:

\(T(x,y)=x^{2}+2y^{2}-\frac{3}{2}x\)

Let's take the partials derivatives.

\(T_{x}(x,y)=2x-\frac{3}{2}=0\)

\(T_{y}(x,y)=4y=0\)

So, we can find the critical point (x,y) of T(x,y).

\(2x-\frac{3}{2}=0\)

\(x=\frac{3}{4}\)

\(4y=0\)

\(y=0\)

The critical point is (3/4,0) so the temperature at this point is: \(T(\frac{3}{4},0)=(\frac{3}{4})^{2}+2(0)^{2}-(\frac{3}{2})(\frac{3}{4})\)

\(T(\frac{3}{4},0)=-\frac{9}{16}\)    

Now, we need to evaluate the boundary condition.

\(x^{2}+y^{2}=1\)

We can solve this equation for y and evaluate this value in the temperature.

\(y=\pm \sqrt{1-x^{2}}\)

\(T(x,\sqrt{1-x^{2}})=x^{2}+2(1-x^{2})-\frac{3}{2}x\)  

\(T(x,\sqrt{1-x^{2}})=-x^{2}-\frac{3}{2}x+2\)

Now, let's find the critical point again, as we did above.

\(T_{x}(x,\sqrt{1-x^{2}})=-2x-\frac{3}{2}=0\)            

\(x=-\frac{3}{4}\)    

Evaluating T(x,y) at this point, we have:

\(T(-(3/4),\sqrt{1-(-3/4)^{2}})=-(-\frac{3}{4})^{2}-\frac{3}{2}(-\frac{3}{4})+2\)  

\(T(-(3/4),\frac{\sqrt{7}}{4})=\frac{5}{16}\)

Now, we can see that at point (3/4,0) we have the coldest value of temperature \(T(\frac{3}{4},0) = -9/16 \). On the other hand, at the point \(-(3/4),\frac{\sqrt{7}}{4})\) we have the hottest value of temperature, it is \(T(-(3/4),\frac{\sqrt{7}}{4})=\frac{5}{16}\).

I hope it helps you!

Answer:

The smaller addend is subtracted from the bigger addend

Step-by-step explanation:

Represent the two numbers with a and b such that a > b

So, the mathematical representation will be

\(+a + (-b)\)

Open the bracket

\(+a -b\)

This implies that the smaller addend (b) is subtracted from the bigger addend (b)

Take for instance; a = 6 and b = 4

This gives

\(+6 + (-4)\)

Open the bracket

\(= +6 - 4\)

\(= 2\)

Answer:

-3 on edg

Step-by-step explanation:

\(\boxed{\boxed{\pink{\bf \leadsto The \ Solution \ of \ the \ given \ equation \ is\ \sqrt{26}\ or \ -\sqrt{26}}}}\)

We need to find the solution of the given logarithmic equation. So the given equation is ,

\(\bf \implies ln ( x^2-25) = 0 \)

Using the Properties of log we can write this as ,

\(\bf \implies e^{ln(x^2-25)} = e^0 \:\:\bigg\lgroup \red{\bf Here \ e \ is \ Euler's \ Number }\bigg\rgroup \\\\\bf\implies x^2-25 = e^0 \\\\\bf\implies x^2-25 = 1 \\\\\bf\implies x^2=25+1\\\\\bf\implies x^2=26 \\\\\bf\implies x = \sqrt{26} \\\\\bf\implies\boxed{\red{\bf x = \sqrt{26},-\sqrt{26}}}\)

Answer:

The quadratic equation is \(f(x) = 2x^2 + 6x + 4\)

Step-by-step explanation:

Zeros of a function:

Given a polynomial f(x), this polynomial has roots \(x_{1}, x_{2}, x_{n}\) such that it can be written as: \(a(x - x_{1})*(x - x_{2})*...*(x-x_n)\), in which a is the leading coefficient.

Roots are -2 and -1 and the leading coefficient 2

This means that \(x_1 = -2, x_2 = -1, a = 2\)

So

\(f(x) = 2(x - (-2))(x - (-1)) = 2(x + 2)(x + 1) = 2(x^2 + 2x + x + 2) = 2(x^2 + 3x + 2) = 2x^2 + 6x + 4\)

The quadratic equation is \(f(x) = 2x^2 + 6x + 4\)