Least number which is divisible by 110,22 and 88 and leaves remainder as 100,12 an 78

x in terms of m, M, g, and h is x = y^2 / (mgh). M is an additional variable introduced, which was not mentioned in the initial problem statement.

To solve the given equations for x in terms of m, g, and h, we will solve each equation step-by-step:

Equation 1: 6x = 9y + 5y^2 = mgh

Step 1: Rearrange the equation to isolate x:

6x = mgh - 9y - 5y^2

Step 2: Divide both sides by 6:

x = (mgh - 9y - 5y^2) / 6

Therefore, x in terms of m, g, and h is:

x = (mgh - 9y - 5y^2) / 6

Equation 2: mx = (m + M)y^2 / (m + M)gh

Step 1: Simplify the equation by canceling out (m + M) on both sides:

mx = y^2 / gh

Step 2: Divide both sides by m:

x = y^2 / (mgh)

Therefore, x in terms of m, M, g, and h is:

x = y^2 / (mgh)

Please note that in Equation 2, M is an additional variable introduced, which was not mentioned in the initial problem statement. If you have any specific values for M or any further information, please provide it, and I can adjust the solution accordingly.

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Answer:

1 over 3

Step-by-step explanation:

Rise over run

it rises one

it runs 3

The chi-square statistic is used to determine whether there are differences between two nominally scaled variables. Chi-Square is a statistical test used to compare two nominal variables to determine whether they differ.

The Chi-Square test is used to test for differences between two groups. When you want to compare groups or examine the relationship between two variables, this test is useful. The chi-square test is a method of statistical inference that can be used to compare observed frequencies with expected frequencies, allowing us to determine whether there is a meaningful difference between them. When the p-value obtained from a chi-square test is less than 0.05, it is generally considered statistically significant.

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Answer:

\(4(x + 113) = 923 \\ 4x + 452 = 923 \\ 4x = 471 \\ x = \frac{471}{4} \\ x = 117 \frac{3}{4} \)

The correct option is A) 9∕8, evaluating the exponent expression with a = -2 and b = 3, we find that the value is -8.

We are given the expression a^b, where a = -2 and b = 3. Substituting these values into the expression, we have (-2)^3.

To evaluate this expression, we raise -2 to the power of 3. When we raise a negative number to an odd power, the result will be a negative number.

So, (-2)^3 will yield a negative value.

Calculating (-2)^3, we multiply -2 by itself three times: (-2) × (-2) × (-2). This equals -8.

Therefore, the correct option is A) 9∕8 and the value of the exponent expression (-2)^3 is -8.

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Answer:

x^2 +11x +30

Step-by-step explanation:

(x+6) * ( x+5)

The blue area is x^2

pink is 6x

green is 5x

orange is 5*6 = 30

Add them together

x^2 +6x+5x+30

x^2 +11x +30

We can write 2 equations from the information given.

Let the amount invested in CD be "x" and the amount invested in bond be "y".

The total amount invested is $600,000. Thus, we can write,

The CD pays 2% (0.02) and the bond pays 8.5% (0.085). Total interest needed is $27,000. Thus, we can craft another equation,

Solving the first equation for "x", we can substitute it into the second equation and solve for "y" first. The steps are shown below:

Now, we can find "x",

Rounded to the nearest dollar, we write our answer >>>

Answer:

The Shark

Step-by-step explanation:

If a shark can swim 4 kilometers in 1/10 of an hour and a blue whale can swim 5 kilometers in 1/4 of an hour then we can multiply 5 kilometers by 4 and 4 kilometers by 5 then we get both of them have travled 20 kilometers. Then we multiply 1/10 by 5 and 1/4 by 4 and we get that the shark travled 20 kilometers in 5/10 of an hour (or half an hour) and the blue whale travled 20 kilometers in 1 1/4 of an hour (or 1 hour and 15 minutes)

All you do is divide:

3 ÷ 8 = 0.375 or 0.38 or 0.4

7 ÷ 5 = 1.4

21 ÷ 7 = 3

5 ÷ 3 = 1.66666666667 or 1.67 or 1.7

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Answer:

There are approximately 82 inches

Step-by-step explanation:

Here, we want to calculate the circumference of the wheel

To do this, we are going to use the formula for the circumference of a circle

C = 2 * pi * r

C = 2 * pi * 13

= 26 * pi

C = 81.7 inches which is approximately 82 inches

Ans: 55°

Let's draw two parallel line intersecting angle x° and 45° as shown in the photo.

i) a=25° [Being Alternative Angle]

ii) d=15° [Being Alternative Angle]

iii) c= 45°-d[45°=c+d]

=45°-15°

=30°

iv)b=c[Being Alternative Angle]

v)x=a+b[Combining Angle a & b]

=25°+30°

=55°

Answer: -14+8q

Step-by-step explanation:

Multiply the two against everything inside the parentheses

After answering the provided question, we can conclude that As a result, expression Eukenes' new room could have the following rectangular dimensions: 10 ft. x 11 ft. ; 9 ft. x 13 ft.; 8 ft. x 15 ft.; 7 feet wide by 17 feet long.

An expression in mathematics is a collection of interpretations, digits, and transnational corporations that resemble a clear relationship or regimen. A sequence of numbers, a mutable, or a combo of the two can be used as an expression. Mathematical operators include addition, subtraction, growing influence, division, and exponentiation. Expressions are widely used in arithmetic, mathematics, and shape. They are used in the representation of mathematical formulas, the solution of equations, and the simplification of mathematical relationships.

Eukenes' current bedroom is located in:

108 square feet = 9 feet x 12 feet

The main room area without the alcove is:

9 feet x 12 feet minus 4 feet x 3 feet equals 108 square feet minus 12 square feet equals 96 square feet.

To determine the dimensions of the new room, we must first locate a rectangle with an area greater than or equal to 108 square feet.

Let's take a look at each option:

110 square feet = 10 feet x 11 feet

This room is slightly larger than Eukenes' current bedroom and would suffice.

117 square feet = 9 feet x 13 feet

This room is also larger than Eukenes' current bedroom and could accommodate him.

120 square feet = 8 feet x 15 feet

This room is slightly larger than Eukenes' current bedroom and would suffice.

119 square feet = 7 feet x 17 feet

This room is slightly larger than Eukenes' current bedroom and would suffice.

114 square feet = 6 feet x 19 feet

This room is much smaller than Eukenes' current bedroom and would be ineffective.

As a result, Eukenes' new room could have the following rectangular dimensions:

10 ft. x 11 ft.

9 ft. x 13 ft.

8 ft. x 15 ft.

7 feet wide by 17 feet long.

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keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

\(y=\stackrel{\stackrel{m}{\downarrow }}{2}x+1\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\)

so we're really looking for the equation of a line whose slope is 2 and it passes through (-1 , 3)

\((\stackrel{x_1}{-1}~,~\stackrel{y_1}{3})\hspace{10em} \stackrel{slope}{m} ~=~ 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{3}=\stackrel{m}{ 2}(x-\stackrel{x_1}{(-1)}) \implies y -3= 2 (x +1) \\\\\\ y-3=2x+2\implies {\Large \begin{array}{llll} y=2x+5 \end{array}}\)

now, to graph a line, we only need two points and connect them through, well, hell we already have (-1 , 3), let's get another hmmm

say if x = 2

y = 2(2) + 5 => y = 9

that gives us the 2nd point of (2 , 9)

Check the picture below.

Answer:

45

Step-by-step explanation:

The linearized equation around its equilibrium position is given as;f(x) = -4.8(x - 1.39)

The given equation is x² + 2x* + 2x² - 12x + 10 = 0.

It needs to be linearized around its equilibrium position.

Linearizing the given equation around its equilibrium position x0, we have;

f(x) = f(x0) + f'(x0)(x - x0)

Where f(x) = x² + 2x* + 2x² - 12x + 10

The equilibrium position is the point where f(x) = 0.

Hence, f(x0) = 0.

Thus, x² + 2x* + 2x² - 12x + 10 = 0⇒ 3x² - 6x = -10⇒ x² - 2x + (2.33) = 0(x-1)² = 0.77x - 0.77 or

x = 1 + (0.77)/(2) or x = 1.39

Hence, the equilibrium position x0 = 1.39.

Substitute x0 = 1.39 in the equation and simplify to get f'(x0):

f(x) = x² + 2x* + 2x² - 12x + 10

f(x) = 3.84 - 8.34 + 10

f'(x0) = f'(1.39) = -4.8

Therefore, the linearized equation around its equilibrium position is given as;f(x) = -4.8(x - 1.39)

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The code sorts the skill array in ascending order.

It then creates a HashMap to store the number of occurrences of each skill level. The left and right pointers are initialized to point to the first and last elements of the skill array. The result variable is used to store the sum of the effectiveness of all teams that can be created. The code then iterates through the skill array using the left and right pointers. If both pointers point to skills that have more than one occurrence, then two of each skill are used to create the team, and effectiveness is added to the result.

If only one pointer points to a skill with more than one occurrence, then one instance of that skill is paired with one instance of the other skill to form a team. Otherwise, if both pointers point to skills that have only one occurrence, then one instance of each skill is used to create the team. In any case, when a team is created, the HashMap is updated accordingly.

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The final result of the subtraction is: -4 ÷ (1 - 5\(x^{2}\))

What is Algebraic expression ?

A cοmbinatiοn οf variables and cοnstants is an algebraic expressiοn.

To subtract the expression:

(-10 ÷ (2 - 10\(x^{2}\))) - (-2 ÷ (2 - 10\(x^{2}\))))

we need to first simplify the denominator by factoring out a common factor of 2:

2 - 10\(x^{2}\)= 2(1 - 5\(x^{2}\))

Now we can write the expression as:

(-10 ÷ [2(1 - 5\(x^{2}\))]) - (-2 ÷ [2(1 - 5\(x^{2}\))])

which simplifies to:

(-5 ÷ [1 - 5\(x^{2}\)]) - (-1 ÷ [1 - 5\(x^{2}\)])

Using the fact that subtracting a negative is the same as adding a positive, we can rewrite this as:

(-5 + 1) ÷ [1 - 5\(x^{2}\)]

which equals:

-4 ÷ [1 - 5\(x^{2}\)]

Therefore, the final result of the subtraction is: -4 ÷(1 - 5\(x^{2}\))

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Complete Answer:

Subtract the expression \($(-10\div(2-10x^{2}))-(-2\div(2-10x^{2}))$\)

Answer:

Step-by-step explanation:

36 divided by 3. I think.

Answer:

Divide 3 by 36 and simplify your answer

Step-by-step explanation:

Answer:

B, 1/5

Step-by-step explanation:

Because 2/5 + 2/5 = 4/5 so 5/5 - 4/5 = 1/5 so the answer would be 1/5

Answer:

2

Step-by-step explanation:

1+1 = 2

So the answer is 2

hope this helps

Answer:

75

Step-by-step explanation:

In math, mode is the number which appears most in the data set. When dealing with this, first put all of the numbers in numerical order, least to greatest.

19, 28, 31, 36, 44, 48, 55, 59, 68, 75, 75, 82, 93

Notice how 75 appear twice and all the other numbers appear once. Therefore the mode is 75.

Answer:

x = 1

Step-by-step explanation:

13x - 12 = 7x -6

6x = 6

  x = 1

Indifferent curves are convex to the origin, and no two can intersect. The slope of the curve is given by the marginal rate of substitution, which shows how much of Y an individual is willing to give up to obtain another unit of X.

The slope of an indifferent curve, therefore, reflects how much an individual is willing to substitute between two goods while still retaining the same level of satisfaction. Indifferent curves are a graphical representation of utility, indicating the amount of satisfaction a consumer obtains from a given combination of two commodities or goods.In contrast, Budget line is a graphical representation of the combination of two goods that a consumer can buy with a given amount of income and prices of goods. The budget line is downward sloping, indicating the number of goods that can be purchased for a given amount of money.The equation of the budget line is given by;

M = PxX + PyY, where M is the total money available for spending, Px is the price of good X, Py is the price of good Y, X is the amount of good X, and Y is the amount of good Y.The equation of the budget line is; 40X + 20Y = 200.On the vertical axis, put Y and on the horizontal axis, put X, the intercepts are X = 5 and Y = 10, the budget line will be at (5,0) and (0,10).The marginal utility of X is greater than the marginal utility of Y. Therefore, the consumer will increase the consumption of X and reduce the consumption of Y until the ratio of marginal utilities of both goods equals the ratio of their prices.The consumer will be in equilibrium when;MUx/Px = MUy/Py.

The indifferent curve and budget line concepts are critical in analyzing consumer behavior and their buying patterns. By understanding the principles of utility analysis, businesses can set prices for their goods and services that ensure consumers are willing to buy them. This, in turn, leads to increased sales, revenue, and profits for the business.

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The rule for a rotation by 270 ° about the origin is (x,y) ⇒ (y,-x)

Rotating the triangle PQR to create an image of the triangle involves moving the triangle PQR in a circular direction.

The coordinates of the given triangle are:

Using the rule, the coordinates now are:

In the attatchment, the answer is in pictoral form.

The probability that exactly 12 of them are strikes is 0.09.

In this question,

Number of pitches, n = 22

Probability of throwing a strike for each pitch, p = 0.431

Then, q = 1 - p

⇒ q = 1 - 0.431

⇒ q = 0.569

Number of strikes, x = 12

The probability that exactly 12 of them are strikes can be calculated using Binomial expansion,

\(P(X=x)=nC_xP^{x}q^{(n-x)}\)

⇒ \(P(X=12)=22C_{12}(0.431)^{12}(0.569)^{(22-12)}\)

⇒ \(P(X=12)=22C_{12}(0.431)^{12}(0.569)^{10}\)

⇒ \(P(X=12)=(\frac{22!}{12!10!} )(0.431)^{12}(0.569)^{10}\)

⇒ P(X=12) = (646646)(0.000041)(0.00355)

⇒ P(X=12) = 0.09431 ≈ 0.09

Hence we can conclude that the probability that exactly 12 of them are strikes is 0.09.

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Answer:

Step-by-step explanation:

I will assume that the missing word is width.

ratio of length to width = 5:3

Given ratio              derived ratio

5:3                             24 : x

This assumes that the length is 24 cm and it is the longer line.

5/3 = 24 / x          x is the width

5x = 3*24             Combine the right

5x = 72                 Divide by 5

x = 72/5

x = 14.4            

Answer: y = 60x, choice D

=================================================

Explanation:

1 hour = 60 miles ... one way to represent the speed of 60 mph

x hours = 60x miles ... multiply both sides by x

After x hours, the cheetah has ran 60x miles. This is assuming the speed is kept the same at 60 mph.

The information about the 50 yards is never used. It's likely thrown in there as filler or as a distraction.

Answer and explanation:

Take the area formula:

A = L * W

Then manipulate it to fit the context of which unknown you are finding:

Problem 1

\(\dfrac{36 = 4 * W}{4}\)

\(9 = W\)

So, the length of side c is 9 mm.

Problem 2

\(\dfrac{21 = W * 21}{21}\)

\(1 = W\)

So, the length of side a is 1 m.

Problem 3

\(\dfrac{49 = 7 * W}{7}\)

\(7=W\)

So, the length of side t is 7 cm.

Answer:

C

Step-by-step explanation: