Pls help me find the answer...

Answer:

7 ÷ 1 = 7

Step-by-step explanation:

Answer:

I think

Step-by-step explanation:

I think you are subtracting

The function that gives the total number in year t is obtained by integrating the rate of change function. The total number of monthly text messages is F(t) = 6.71t - 16.6t + C, where C is a constant.

To find the function that gives the total number of monthly text messages in year t, we need to integrate the rate of change function f(t). The rate of change function represents the approximate rate of change in the number of monthly text messages. Integrating this function will give us the total number of text messages over a given time period.

The rate of change function is f(t) = 6.71 - 16.6. To integrate this function, we treat 6.71 as a constant and integrate it with respect to t, which gives us 6.71t. Similarly, we integrate -16.6 with respect to t, which gives us -16.6t. The constant C represents the initial value or the constant of integration.

Integrating the rate of change function, we obtain the total number of monthly text messages function: F(t) = 6.71t - 16.6t + C. The constant C can be determined by evaluating the function at a specific point, in this case, t = 4, where there were approximately 9.3 billion monthly text messages. Substituting t = 4 and F(t) = 9.3 into the equation allows us to solve for C.

Once the constant C is determined, the function F(t) = 6.71t - 16.6t + C can be used to calculate the total number of monthly text messages for any given year t (measured since 2000).

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Answer:

5

Step-by-step explanation:

\( \sqrt{29 - 4} \\ = \sqrt{25} \\ = 5\)

The value of the x would be 25.723 cm.

What is the area of the circle?

For any circle, if 'r' is the radius of the circle then the area of the circle would be

      Area = π×r²

Where π = 3.14 (or) π = 22/7.

And the diagonal of the square with side 'a' is √2*a.

Given:

The square is inscribed into a circle.

The length of the side of the square is 'x' cm.

and the area of the circle is 56 cm².

            Area of circle = π.r²

                56 = 22/7×r²

                r² = 57 * 7/22

                r² = 18.1363

Taking square root on both sides, we get

                  r = 4.25

Now as the square is inscribed into a circle, then the radius will be half the diagonal of the square.

                Diagonal = 2 × r

                 √2x =  36.27

                    x = 36.27/√2

                    x = 25.723 cm

Hence, the value of the x would be  25.723 cm.

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Answer:

+160

Step-by-step explanation:

Her withdraws added up is 100 which is taking away money, because withdraw means you take your money out of your checking account.

Deposits means you add more money into your account, so added up

-100 + 260 = 160

The quiz scores of Rich Borne's Chemistry 101 students are as follows: 24, 31, 47, 29, 31, 16, 48, 41, 50, 54, 37, 22, 54, 38, 7, and 16.the performance of Rich Borne's Chemistry 101 students on the quiz

To analyze this data, we can calculate various descriptive statistics such as the mean, median, mode, range, and standard deviation. The mean (average) score can be obtained by summing up all the scores and dividing by the total number of scores. The median represents the middle value when the scores are arranged in ascending order. The mode refers to the most frequently occurring score. The range is the difference between the highest and lowest scores, indicating the spread of the data. The standard deviation measures the variability or dispersion of the scores around the mean.

By calculating these descriptive statistics, we can gain insights into the performance of Rich Borne's Chemistry 101 students on the quiz and understand the central tendency and variability of their scores.

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False. The ANOVA F-statistic is defined as the Between Group Variation divided by the Within Group Variation.

In Analysis of Variance (ANOVA), we compare the variation between different groups (the Between Group Variation) to the variation within each group (the Within Group Variation). The F-statistic is the ratio of the Between Group Variation to the Within Group Variation.

The F-statistic is used to test the null hypothesis that the means of the different groups are equal. If the F-statistic is large and the associated p-value is small, we reject the null hypothesis and conclude that there is evidence of a difference between the means of the groups.

On the other hand, if the F-statistic is small and the associated p-value is large, we fail to reject the null hypothesis and conclude that there is not enough evidence to conclude that the means of the groups are different.

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Answer:

x>2

Step-by-step explanation:

Answer:

5+1<6x-3x

6<3x

3. 3

x= 2

To find the consumer's surplus at the point where the monopoly has maximum profit, we first need to find the quantity (x) that maximizes the monopoly's profit. The profit function (P) can be calculated by subtracting the total cost (C) from the total revenue (R):

P(x) = R(x) - C(x)

Given that the total cost function is C = 1,000 + 120x + 6x^2 and the total revenue function is R(x) = (360 - 3x - 2x^2) * x, we can substitute these equations into the profit function and simplify:

P(x) = (360 - 3x - 2x^2) * x - (1,000 + 120x + 6x^2)

P(x) = -2x^3 - 9x^2 + 240x - 1,000

To find the value of x that maximizes the profit, we can take the derivative of the profit function with respect to x and set it equal to zero:

P'(x) = -6x^2 - 18x + 240 = 0

solving for x, we get x = 5 or x = -12.5. Since x represents the number of units, we reject the negative value and conclude that the monopoly has maximum profit when it produces and sells 5 units.

The quantity demanded is given by the demand function, which is p = 360 - 3x - 2x2. Setting this equal to 5, we get p = 325. Therefore, the equilibrium price is $325 per unit. The consumer's surplus is the difference between the maximum amount that consumers are willing to pay and the actual price they pay. The maximum amount that consumers are willing to pay for a unit is given by the demand function evaluated at x = 0, which is p = 360. Therefore, the consumer's surplus at the point where the monopoly has maximum profit is $35 per unit, which is the difference between 360 and 325.

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Given that \(\(T(n)\) = \(10n^2-3n\)\) if (\(\(n=1\)\)), you have to prove it by induction. So, we have proved it by induction that  \($$\(T(n)=10n^2-3n\)$$\)  if ( n= 1). The given statement is true for all positive integers n

Let's do it below: The base case (n=1) is given as follows: \(T(1)\) =\(10\cdot 1^2-3\cdot 1\\&\)=\(7\end{aligned}$$\). This implies that \(\(T(1)\)\) holds true for the base case.

Now, let's assume that \(\(T(k)=10k^2-3k\)\) holds true for some arbitrary \(\(k\geq 1\).\)

Thus, for n=k+1, T(k+1) = \(10(k+1)^2-3(k+1)\\&\) = \(10(k^2+2k+1)-3k-3\\&\)=\(10k^2+20k+7k+7\\&\) = \(10k^2-3k+20k+7k+7\\&\) = \(T(k)+23k+7\\&\) = \((10k^2-3k)+23k+7\\&\) =  \(10(k+1)^2-3(k+1)\).

Therefore, we have proved that the statement holds true for n=k+1 as well. Hence, we have proved it by induction that  \($$\(T(n)=10n^2-3n\)$$\)  if (n=1). Therefore, the given statement is true for all positive integers n.

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Answer:

Since the ratio of the altitudes of the two triangles ABC and DEF is 1:3, we can say that the altitude of triangle DEF is three times that of triangle ABC.

Let's assume the altitude of triangle ABC is h, then the altitude of triangle DEF is 3h.

Now, we know that the area of a triangle is given by the formula:

Area = (1/2) * base * height

Let's apply this formula to both triangles:

Area of triangle ABC = (1/2) * base * altitude

= (1/2) * 7cm * h

= 3.5h cm^2

Area of triangle DEF = (1/2) * base * altitude

= (1/2) * 7cm * 3h

= 10.5h cm^2

Since the two triangles are similar, their areas are proportional to the squares of their corresponding sides. That is:

Area of triangle ABC / Area of triangle DEF = (AB / DE)^2

Substituting the values, we get:

3.5h / 10.5h = (AB / DE)^2

1/3 = (AB / DE)^2

Taking the square root of both sides, we get:

AB / DE = 1 / sqrt(3)

AB = (1 / sqrt(3)) * DE

Now, we know that the sides of triangle ABC are 3cm, 5cm, and 7cm.

Let's assume that the sides of triangle DEF are a, b, and c.

Since the sides of the two triangles are proportional, we can write:

a / 3 = b / 5 = c / 7 = 1 / sqrt(3)

Solving for a, b, and c, we get:

a = 3 / sqrt(3) = sqrt(3) cm

b = 5 / sqrt(3) = (5 * sqrt(3)) / 3 cm

c = 7 / sqrt(3) = (7 * sqrt(3)) / sqrt(3) = 7 cm

Therefore, the measures of the sides of triangle DEF are sqrt(3) cm, (5 * sqrt(3)) / 3 cm, and 7 cm.

Answer:

y > -1

Step-by-step explanation:

8y+9 > 1

   -9    -9

8y > -8

/8    /8

y > -1

The amount of money that the mother contributes each month will be $5.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The expression that represents the amount of savings is given as,

Amount of saving = 5x + 40

Where 'x' is the number of months.

The slope is 5 which represents the amount of savings in each month and the y-intercept is 40 which represents the amount already saved.

The amount of money that the mother contributes each month will be $5.

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The probability of the asked events is 1/220

Probability is the study of the mathematics of calculating the likelihood that particular events will happen.

Given that, a bag contains three red marbles, three green ones, one fluorescent pink one, four yellow ones, and two orange ones. Susan grabs four at random.

There are 13 marbles in total, and she will pick 4, if we are given that she already has fluorescent pink, therefore, now probability of getting 3 red marbles out of 12,

The number of favorable case is 1, and the total outcome = ¹²C₃ = 220

So, the probability = 1/220

Hence, the probability of the asked events is 1/220

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If Rachel found this rate of change for the scenario represented in the table.  you can conclude from her work that:

1. The function is continuous.

3. The scenario is represented by a linear function, since the rate of change is constant.

5. For every additional hour, 53 cups of juice are poured.

Rate of change can be defined as the rate in which a variable is changing as a result of another variables.

You can conclude from her work that the function is continuous, the scenario is represented by a linear function due to the fact that the rate of change is constant and lastly based on the table for every additional hour, 53 cups of juice are poured.

Therefore the correct option is 1,3,5.

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The complete question is:

Rachel found the following rate of change for the scenario represented in this table.

A 2-column table with 5 rows. Column 1 is labeled Time (hours) with entries 4, 5, 6, 7, 8. Column 2 is labeled Berries picked with entries 128, 181, 234, 287, 340.

What can you conclude from her work?

Check all that apply.

The scenario is represented by a linear function,

since the rate of change is constant.

The scenario is represented by a nonlinear function,

since the rate of change is constant.

The berries are picked at a constant rate of 53 per

hour.

The berries are not picked at a constant rate.

The value of x in the triangle is 35 degrees, option A is correct.

A triangle is a three-sided polygon that consists of three edges and three vertices.

Let us find the interior angles

The sum of interior and exterior angle is 180

95+x=180

x=85

We know that the sum of three angles is 180 degrees by angle sum property

60+85+x=180

145+x=180

Subtract 145 from both sides

x=180-145

x=35 degree

Hence, the value of x in the triangle is 35 degrees, option A is correct.

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The decrease in diameter of the bar due to the applied load is -0.005434905d and the final diameter of the bar is 1.005434905d.

A compressive load of 80,000 lb is applied to a bar with a circular section of 0.75 in diameter and a length of 10 in.

if the modulus of elasticity of the bar material is 10,000 ksi and the Poisson's ratio is 0.3.

We have to determine the decrease in diameter of the bar due to the applied load.

Let d be the initial diameter of the bar and ∆d be the decrease in diameter of the bar due to the applied load, then the final diameter of the bar is d - ∆d.

Length of the bar, L = 10 in

Cross-sectional area of the bar, A = πd²/4 = π(0.75)²/4 = 0.4418 in²

Stress produced by the applied load,σ = P/A

= 80,000/0.4418

= 181163.5 psi

Young's modulus of elasticity, E = 10,000 ksi

Poisson's ratio, ν = 0.3

The longitudinal strain produced in the bar, ɛ = σ/E

= 181163.5/10,000,000

= 0.01811635

The lateral strain produced in the bar, υ = νɛ

= 0.3 × 0.01811635

= 0.005434905'

The decrease in diameter of the bar due to the applied load, ∆d/d = -υ

= -0.005434905∆d

= -0.005434905d

The final diameter of the bar,

d - ∆d = d + 0.005434905d

= 1.005434905d

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The fiber modulus required to produce a composite with longitudinal modulus of c is 56.93.

What is manufacturing process?

Manufacturing process management is a group of tools and techniques that specify how goods should be produced. MPM is distinct from ERP/MRP, which is used to schedule manufacturing, gather cost information, and organize the ordering of supplies and other resources.

What is matrix?

A matrix, which is used to represent a mathematical object or an attribute of one, is a rectangular array or table containing numbers, symbols, or expressions that are organized in rows and columns. is a matrix having two rows and three columns, for instance.

As a result, if we look at the formula for the relationship between the fiber modulus and the matrix's volume fraction, composite modulus, and fiber vol fraction, we have:

C = (M x B) / [(1-A)M + A x B]

where M denotes the fiber's modulus.

If you provide the corresponding letter values,

40 = M X 0.5 / [(1-0.7)M + 0.7 X 0.5]

M = 56.93

Hence,the fiber modulus required to produce a composite with longitudinal modulus of c (msi) is 56.93

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Answer:

The price of the dress was reduced by 25%

Step-by-step explanation:

Answer:

The price for the dress was reduced by 25%.

Step-by-step explanation:

25% of 40 is 10.

40 - 10 = 30, explaining the dress' price reduction from 40 to 30.

Hope this helps!

Hello!

surface area

= 2(6*2) + 2(4*2) + 4*6

= 2*12 + 2*8 + 24

= 24 + 16 + 24

= 64 square inches

Answer:

D

Step-by-step explanation:

D.Negative

The quotient of a positive integer and a negative integer is negative.

Answer:

(3,2)

Step-by-step explanation:

Setting up equation so we can use substitution method

x - y = 1 , x + 3y = 9

step 1 set first equation equal to x by adding y to both sides so we can use the substitution method to solve the system of equations.

x = y + 1 , x + 3y = 9

now we can plug in ( or substitute hence substitution method ) the first equation into the second

Solving for y using the substitution method

x + 3y = 9

plug in x = y + 1

y + 1 + 3y = 9

combine like terms

4y + 1 = 9

subtract 1 from both sides

4y = 8

divide both sides by 4

y = 2

Now to find the value of x we plug in the value of y into one of the equations and solve for x.

Solving for x

x - y = 1

y = 2

x - 2 = 1

add 2 to both sides

x = 3

The solution would be (3,2)

Answer:

x = 3 and y = 2 or (3,2) in coordinate form

Step-by-step explanation:

Given:

\(\displaystyle \large{\begin{cases} x-y=1 \\ x+3y=9 \end{cases}}\)

Solve by elimination of x-terms by multiplying either one of equations with -1:

For this, I choose to multiply -1 in first equation:

\(\displaystyle \large{\begin{cases} -1(x-y=1) \\ x+3y=9 \end{cases}}\\\displaystyle \large{\begin{cases} -x+y=-1 \\ x+3y=9 \end{cases}}\)

Then add both equations:

\(\displaystyle \large{-x+x+y+3y=-1+9}\\\displaystyle \large{4y=8}\)

Divide both sides:

\(\displaystyle \large{\dfrac{4y}{4} = \dfrac{8}{4}}\\\displaystyle \large{y=2}\)

Next, substitute y = 2 in one of equations to solve for x:

For this, I choose to substitute y = 2 in the first equation:

\(\displaystyle \large{x-y=1}\)

Substitute y = 2 in:

\(\displaystyle \large{x-2=1}\)

Add both sides by 2:

\(\displaystyle \large{x-2+2=1+2}\\\displaystyle \large{x=3}\)

Hence, the solution is x = 3 and y = 2 or you can write as in coordinate form (3,2)

__________________________________________________________

First method is elimination method, I’ll demonstrate another method which is by using matrices to find the solutions.

Given:

\(\displaystyle \large{\begin{cases} x-y=1 \\ x+3y=9 \end{cases}}\)

Write the system of equations in matrices form:

\(\displaystyle \large{\left[\begin{array}{ccc}1&-1\\1&3\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] =\left[\begin{array}{ccc}1\\9\end{array}\right]}\)

Let:

\(\displaystyle \large{A=\left[\begin{array}{ccc}1&-1\\1&3\end{array}\right] }\\\displaystyle \large{X=\left[\begin{array}{ccc}x\\y\end{array}\right] \\\displaystyle \large{B = \left[\begin{array}{ccc}1\\9\end{array}\right] }\)

From \(\displaystyle \large{AX=B \to X=A^{-1}B}\) where:

\(\displaystyle \large{A^{-1}=\dfrac{1}{\det A} \left[\begin{array}{ccc}d&-b\\-c&a\end{array}\right] = \dfrac{1}{ad-bc} \left[\begin{array}{ccc}d&-b\\-c&a\end{array}\right] }\)

Find \(\displaystyle \large{\det A}\):

\(\displaystyle \large{\det A = ad-bc = 3+1=4}\)

Therefore:

\(\displaystyle \large{A^{-1} = \dfrac{1}{4}\left[\begin{array}{ccc}3&1\\-1&1\end{array}\right]}\\\therefore \displaystyle \large{X = \dfrac{1}{4}\left[\begin{array}{ccc}3&1\\-1&1\end{array}\right] \left[\begin{array}{ccc}1\\9\end{array}\right]}\)

Evaluate the matrices:

\(\displaystyle \large{X= \dfrac{1}{4}\left[\begin{array}{ccc}3(1)+1(9)\\-1(1)+1(9)\end{array}\right] }\\\displaystyle \large{X= \dfrac{1}{4}\left[\begin{array}{ccc}3+9\\-1+9\end{array}\right] }\\\displaystyle \large{X= \dfrac{1}{4}\left[\begin{array}{ccc}12\\8\end{array}\right]}\\\displaystyle \large{X= \left[\begin{array}{ccc}3\\2\end{array}\right] }\\\therefore \displaystyle \large{\left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}3\\2\end{array}\right]}\)

Therefore, the solution is x = 3 and y = 2

Answer:

got u

Step-by-step explanation:

domain is all real numbers

range is -2

Answer:

Domain: (-∞,∞)

Range: [-2,∞)

Step-by-step explanation:

The domain is (-∞,∞) because any real input for x works for any output of y.

The range is [-2,∞) because no y-value can be less than -2 for any real input x, but the range does include -2 (for example if x=3).

The error interval needed is [15.375, 15.385)

Given that:

A number 'x' rounded to 2 decimal places = 15.38

According to the rules of the rounding of number, we surely know that

x must be in [ 15.375, 15.385) since if x is outside of this interval, then rounding to two places of decimal won't lead to 15.38.

Since x can't be 15.385 itself since that rounds up to 15.39

Or:

\(15.375 \leq x\leq 15.385\)

Thus we have :

Error Interval = [15.375 , 15.385)

Answer:

Equilateral triangle

Step-by-step explanation:

sum the parts of the ratio, 12 + 6 = 18 parts

exterior angle + interior angle = 180°

180° ÷ 18 = 10° ← value of 1 part of the ratio , then

6 parts = 6 × 10° = 60° ← interior angle

12 parts = 12 × 10° = 120° ← exterior angle

The sum of the exterior angles of a polygon = 360°

Divide 360° by 120° to find number of sides

360° ÷ 120° = 3

and since the interior angles are 60° , then

polygon is an equilateral triangle

Answer: −10x+23 13/27

Step-by-step explanation: -(5)(2x)                                                                             -10x                                                                                                                                    3+79/ 3 12/14                                                                                                               3+ 79 / 3  6 /7                                                                                                                        3+ 79 / 27 /7                                                                                                           3+ 553 /27                                                                                                               634 /27                                                                                                                           23  13 /27                                                                                                                   −10x+23 13/27                      

Answer:

40

Step-by-step explanation:

<AOC = 108°

<AOB = 3x + 4°

<BOC = 8x - 28°

< AOB + <BOC = <AOC

3x + 4° + 8x - 28° = 108°

11x - 24° = 108°

11x = 108° + 24°

11x = 132°

x = 132° / 11

x = 12°

< AOB = 3 *12° + 4° = 40°

Hope it will help :)