Between which consecutive integer does the square root of 138 lie

Answer:

-9/17

Step-by-step explanation:

The solution to this system of equations are x =5 and y =10

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

5x - 2y = 5 2x + 2y = 30

Express properly

So, we have

5x - 2y = 5

2x + 2y = 30

Add the equations to eliminate y

7x = 35

Divide both sides by 7

x = 5

Next, we have

2(5) + 2y = 30

So, we have

2y = 20

y = 10

Hence, the value of y is 10

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Time taken by Matilda on each project is \(5\frac{7}{12}\) hours.

According to the question we have been given that,

Total time taken by Matilda to complete the consulting projects = \(16\frac{3}{4}\) hours

First we will convert it into simple fraction which is

         \(16\frac{3}{4} = \frac{67}{4} \\\) hours

Number of consulting projects = 3

And Matilda spends same amount of time to each of the project.

To find the time she spend on each project is by using unitary method

that is,            3 projects = \(\frac{67}{4}\) hours

                      1 project = \(\frac{67}{4} / 3\)

                                     = 67/12

                                     = \(5\frac{7}{12}\) hours

Hence time taken by Matilda on each project is \(5\frac{7}{12}\) hours.

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The graph has y-intercept (0,5) and increases with a constant ratio of 3.

A function in mathematics is a connection between a set of inputs (sometimes referred to as the domain) and a set of outputs (also referred to as the range). Each input value is given a different output value.

The y-intercept lies at (0, 5) because the value of the function at x=0 is 530 = 5. The 'constant ratio' is 3, meaning that any increment of 1 in x causes the function value to grow by a factor of 3. (That serves as the exponential term's foundation.)

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Missing parts;

Which of the following statements is true for a function with equation f(x) = 5(3)*?

The graph has y-intercept (0,5) and increases with a constant ratio of 3.

The graph has y-intercept (0, 3) and decreases with a constant ratio of 3.

The graph has y-intercept (0, 3) and increases with a constant ratio of 5.

The graph has y-intercept (0,5) and decreases with a constant ratio of 3.

The continuous compounding equation shown the value of the account after t years is given as follows:

\(A(t) = 8000e^{0.079t}\)

The percentage of growth per year (APY) is of 8.22%.

The balance of an account after t years of continuous compounding is given by the equation presented as follows:

\(A(t) = A(0)e^{kt}\)

In which the variables of the equation are described as follows:

In the context of this problem, the values of these parameters are given as follows:

A(0) = 8000, k = 0.079.

Hence the equation is:

\(A(t) = 8000e^{0.079t}\)

The percentage of growth per year (APY) is calculated as follows:

\(e^{k} - 1 = e^{0.079} - 1 = 1.0822 - 1 = 0.0822 = 8.22\%\)

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The probability that a four-digit palindrome is a multiple of 99 can be found by dividing the number of four-digit palindromes that are multiples of 99 by the total number of four-digit palindromes. A four-digit palindrome has the form ABBA, where A and B are digits from 1 to 9. A multiple of 99 has the form 99x, where x is an integer from 1 to 99. The number of four-digit palindromes that are multiples of 99 is 9 (since A cannot be 0) and the total number of four-digit palindromes is 90 (since there are 9 choices for A and B). Therefore, the probability is 9/90 or 1/10.

To solve this problem, we need to understand what a four-digit palindrome and a multiple of 99 are. A four-digit palindrome is a number that reads the same backward as forward, such as 1221 or 7337. A multiple of 99 is a number that can be written in the form 99x, where x is an integer. For example, 99, 198, and 297 are multiples of 99.

To find the probability that a four-digit palindrome is a multiple of 99, we first need to determine how many four-digit palindromes there are. Since the first digit can be any number from 1 to 9 and the second digit can also be any number from 1 to 9 (since it needs to be different from the first digit), there are 9 x 9 = 81 possible choices for the first two digits. The third digit must be the same as the first digit, and the fourth digit must be the same as the second digit. Therefore, there are only 9 possible choices for the third and fourth digits.

Next, we need to determine how many of these four-digit palindromes are multiples of 99. To do this, we can list all the possible four-digit palindromes that are multiples of 99. We find that there are only 9 such numbers: 1100, 1210, 1320, 1430, 1540, 1650, 1760, 1870, and 1980. Therefore, the probability that a four-digit palindrome is a multiple of 99 is 9/90 or 1/10.

The probability that a particular four-digit palindrome is a multiple of 99 is 1/10. This can be found by dividing the number of four-digit palindromes that are multiples of 99 (9) by the total number of four-digit palindromes (90). Therefore, if we are given a four-digit palindrome, there is a 1/10 chance that it is a multiple of 99.

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Let's represent the unknown negative number as "x."

According to the given information, the square of the number is equal to five more than one-half of the number. Mathematically, we can write this as:

x^2 = (1/2)x + 5

To find the value of x, we need to solve this quadratic equation. Rearranging the equation, we have:

x^2 - (1/2)x - 5 = 0

To solve this quadratic equation, we can use factoring, completing the square, or the quadratic formula. Let's use the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / (2a)

In this case, a = 1, b = -1/2, and c = -5. Substituting these values into the quadratic formula:

x = (-(1/2) ± √((-1/2)^2 - 4(1)(-5))) / (2(1))

Simplifying further:

x = (-1/2 ± √(1/4 + 20)) / 2

x = (-1/2 ± √(81/4)) / 2

x = (-1/2 ± 9/2) / 2

x = (-1 ± 9) / 4

Therefore, we have two possible solutions for x:

x = (-1 + 9) / 4 = 8/4 = 2

x = (-1 - 9) / 4 = -10/4 = -5/2

Since we are looking for a negative number, the solution is x = -5/2.

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♥️ \(\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

The value of the probability of choosing a green lollipop and a purple lollipop is, 8 / 45

We have to given that;

One bag contains 3 red lollipops and 2 green lollipops.

And, The other bag contains four purple lollipops and five blue lollipops.

Hence, The probability of choosing a green lollipop is,

P₁ = 2 / 5

And, The probability of choosing a purple lollipop is,

P₂ = 4 / 9

Thus, The value of the probability of choosing a green lollipop and a purple lollipop is,

P = P₁ ×  P₂

P = 2/5 × 4/9

P = 8/45

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The initial price of eggs is $0.89 which is then increased to $0.99, so the percentage increase in the price is 11.23%.

The Latin term "per centum," which signifies "by the hundredth," was the source of the English word "percentage." Segments with a denominator of 100 are considered percentages. In other terms, it is a relationship where the worth of the entire is always considered to be 100.

As per the given data in the question,

The price of dozen eggs = $0.89

The price increase by June = $0.99

The percentage increase in the price,

% increase = (0.99 - 0.89)/0.89 × 100

% increase = 11.2%

Therefore, the increase is 11.2%.

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Answer:

64

Step-by-step explanation:

i calculated using https://www.calculator.net/triangle-calculator.html :/

Answer:

\(m=64\)

Step-by-step explanation:

\(m^2=n^2+0^2-2n~0~ co~12\)

\(= 78^2+14^2-2*78*14~co ~12\)

m= \(\sqrt{78^2+14^2-28*78 ~co~12}\)

\(m=64\)

---------------------------

hope it helps....

have a great day!!

Answer:

m<UKJ = 80

Step-by-step explanation:

These angles are equal to each other because they're corresponding angles:

12x - 4 = 10x + 10

12x - 10x = 10 + 4

2x = 14

x = 7

m<UKJ:

12x - 4

12(7) - 4

84 - 4

80

To solve the initial value problem y'' - 2y' - 3y = 0, with y(0) = 1 and y'(0) = 2, we can use the method of Laplace transforms.

First, we take the Laplace transform of the given differential equation to obtain an algebraic equation in terms of the Laplace transform of the unknown function y(t). Then, we solve the algebraic equation for the Laplace transform of y(t) using standard algebraic techniques. Finally, we take the inverse Laplace transform to obtain the solution y(t) in the time domain.

Applying the Laplace transform to the given differential equation, we have s²Y(s) - sy(0) - y'(0) - 2(sY(s) - y(0)) - 3Y(s) = 0, where Y(s) represents the Laplace transform of y(t). Simplifying this equation, we get (s² - 2s - 3)Y(s) - (s - 2) = s²Y(s) - 3s - 4. Rearranging the equation, we have Y(s) = (s - 2) / (s² - 2s - 3).

To solve this equation for Y(s), we can decompose the expression into partial fractions, which yields Y(s) = 1 / (s - 3) - 1 / (s + 1). Taking the inverse Laplace transform of Y(s), we obtain y(t) = e^(3t) - e^(-t), which is the solution to the initial value problem.

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Answer:

multiply the value behind the other value

Step-by-step explanation:

3 x -12 = 48

-12 x 48 = -576

and so on

Answer:

Trinomial

Step-by-step explanation:

If there is 1 term, monomial

2 term - binomial

3 term- trinomial

Answer:

---------------------

The angle formed by a tangent and secant is half the difference of the intercepted arcs:

Find the measure of ∠MLJ by substituting 4 for x in the angle measure:

Answer:

Step-by-step explanation:

if the item is 430, and the sales tax is 25.80

we can find how much is 1%

430/100=4.30

25.80/4.30=6

the sales tax is 6%

The equation of the path of the parabola is y = a(x - 13)² + 27

Given data ,

To represent the path of Al's toss, we can assume that the path is a parabolic trajectory.

The equation of a parabola in vertex form is given by:

y = a(x - h)² + k

where (h, k) represents the vertex of the parabola

Now , the balloon was released from the 10-yard line and landed at the 16-yard line, we can determine the x-values for the vertex of the parabola.

The x-coordinate of the vertex is the average of the two x-values (10 and 16) where the balloon was released and landed:

h = (10 + 16) / 2 = 13

Since the height of the balloon reached 27 yards, we have the vertex point (13, 27)

Now, let's substitute the vertex coordinates (h, k) into the general equation:

y = a(x - 13)² + k

Substituting the vertex coordinates (13, 27)

y = a(x - 13)² + 27

To determine the value of 'a', we need another point on the parabolic path. Let's assume that the highest point reached by the balloon is the vertex (13, 27).

This means that the highest point (13, 27) lies on the parabola

Substituting the vertex coordinates (13, 27) into the equation

27 = a(13 - 13)² + 27

27 = a(0) + 27

27 = 27

Hence , the equation representing the path of Al's toss is y = a(x - 13)² + 27, where 'a' can be any real number

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Answer:

lol sorry im dum.b

Step-by-step explanation:

Answer:

yeah same its just nice to have the person's presence their

Answer:

54 400

Step-by-step explanation:

40 000×8\100 ×17

=54 400

Considering the situation given, it is found that:

At the null hypothesis, we test if they average the same amount of trouble hours as last year, that is, of 2000 trouble hours, thus:

\(H_0: \mu = 2000\)

At the alternative hypothesis, we test if this amount has increased, that is:

\(H_1: \mu > 2000\)

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Using the geometry from the question and using the Pythagorean theorem with the distance provided, The answer is 30.09 miles.

By definition, unit conversion refers to the division or multiplication operation used to convert measurements of the same quantity between various units.

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between a right triangle's three sides in Euclidean geometry.

It's formula is:

\(h^{2} = p^{2} +b^{2}\)

h1=30500 feet = 5.77 miles

d1= 50 miles

h2= 18000 feet = 3.4 miles

d2= 20 miles

for right angle triangle,

height = h1-h2 = 2.37 miles

distance  = 50-20 = 30 miles

plane flown = \(\sqrt{2.37^{2}+30^{2}}\)

=30.09 miles

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Step-by-step explanation:

y = 4x+1

y–1 = 4x

x = (y–1)/4

Given :

Devon purchased a new car valued at $16,000 that depreciated continuously at a rate of 35%.

Its current value is $2,000.

To Find :

Age of car.

Solution :

Price of car after 1 year :

\(P_1=P_o(1-0.35)\)

Price of car after 2 year :

\(P_2=P_1(1-0.35)\\\\P_2=[P_o(1-0.35)](1-0.35)\\\\P_2=P_o(1-0.35)^2\)

So, price of car after n years.

\(P_n=P_o(1-0.35)^n\)

\(2000=16000(1-0.35)^n\\\\0.65^n=0.125\\\\n\times log(0.56)=log(0.125)\\\\n=\dfrac{log(0.125)}{log(0.56)}\\\\n=3.58\)

Therefore, age of car in nearest whole number is 4 years.

Hence, this is the required solution.

Answer:

7/4

Step-by-step explanation:

Answer:

7/4

Step-by-step explanation:

hope this helpsss :)) xx

Step-by-step explanation:

\( = 49\)

\( = 7 \times 7\)

\( = {7}^{1 + 1} \)

\( = {7}^{2} \)

Plot the vertex at (0,-3), then go down 2 units and right units to plot a point at (5,-5). Then you can draw your line through the 2 points.