Which expression is equivalent to 16 + 2 x 36?



Answer choices:

Answer:

y = mx + b

Step-by-step explanation:

so you first put the points on the graph and connect them with a slanted line.

Next, for your equation start of with y =

then, your going to find your slope, after you find it put it in front of x (slope x) (Ex; if the slope was 3 then it would look like this 3x)

finally you write + and the y intercept (at which point the line goes through the y axis)

the equation together should look like y = slope x + y intercept

In order to calculate the correlation between two variables related to the same sample you need to calculate first the mean of each variable.

Before determining the correlation, the covariance of the two variables in the issue must always be computed. The standard deviation of each variable is then needed. The correlation analysis is calculated by dividing the covariance even by combination of a standard deviations of two or more variables.

A correlation is a statistical measurement of the two-variable connection. The measure works best with parameters that have a linear connection with one another.

The degree of the relationship between two variables is examined using correlation. To get the correlation between two variables, divided the covariance value by the standard deviation of both variables. Correlation analysis for two variables in the same sample should be performed. If you run a survey with two factors, a responder should be able to answer both variables at a glance. Furthermore, other participants' replies to the parameter might be evaluated for a correlation test.

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Answer:

Positive

Step-by-step explanation:

5a < 2a

Divide 2 on both sides

5/2a < a

The  store is offering the best unit rate is  Grocery Store A.

The store with the lower unit rate offers the best rate. The unit rate is the total cost divided by the pound of bananas sold.

unit rate = cost / pounds

Unit rate of Grocery Store A: $0.75 / 12 = $0.0625

Unit rate of Grocery Store B: $3.75 / 5 = $0.75

Comparing the unit rates of both stores, Grocery Store A offers a lower unit rate.

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Answer:10

Step-by-step explanation:

20/100x98

20/100=0.2

0.2x98=10

Answer: 10

Step-by-step explanation: 20 percent of 50 can be written as

20% x 50= 20/100 × 50= 10

The probability that all 10 sprinklers will operate correctly in a fire is approximately 0.028,  probability that at least 7 of the sprinklers will operate correctly in a fire is approximately 0.95 and the probability of at least one sprinkler operating correctly in a fire is at least 0.98, we need to have at least 7 sprinklers in the ballroom.

The sprinklers activate correctly or not independently can be found by:

(A) If the probability if all the sprinklers will operate correctly in fire is:

P(all 10 sprinklers operate correctly) = (0.7)¹⁰= 0.028247 (rounded to 3 decimal places)

Therefore, the probability that all 10 sprinklers will operate correctly in a fire is approximately 0.028.

(b) The probability that at least 7 of the sprinklers will operate correctly can be calculated using the binomial distribution with n = 10 and p = 0.7:

P(at least 7 sprinklers operate correctly) = P(X >= 7) = 1 - P(X < 7)

where X is the number of sprinklers that operate correctly.

Using a binomial calculator or table, we can find that:

P(X < 7) = 0.0518 (rounded to 4 decimal places)

Therefore:

P(at least 7 sprinklers operate correctly) = 1 - P(X < 7) = 1 - 0.0518 = 0.9482 (rounded to 2 decimal places)

So, the probability that at least 7 of the sprinklers will operate correctly in a fire is approximately 0.95.

(c) We need to find the minimum number of sprinklers needed so that the probability that at least one operates correctly is at least 0.98. This is equivalent to finding the smallest value of n such that:

P(at least one sprinkler operates correctly) >= 0.98

Using the complement rule, we can rewrite this as:

P(no sprinkler operates correctly) <= 1 - 0.98 = 0.02

The probability that no sprinkler operates correctly in a fire is:

P(no sprinkler operates correctly) = (0.3)¹⁰

So we need to solve for n in the inequality:

(0.3)ⁿ <= 0.02

Taking the natural logarithm of both sides and using the logarithmic rule for inequalities, we get:

n >=ln(0.02) / ln(0.3) ≈ 6.52

Therefore, we need at least 7 sprinklers to ensure that the probability that at least one operates correctly is at least 0.98.

Therefore, The probability that all 10 sprinklers will operate correctly in a fire is approximately 0.028,  probability that at least 7 of the sprinklers will operate correctly in a fire is approximately 0.95 and the probability of at least one sprinkler operating correctly in a fire is at least 0.98, we need to have at least 7 sprinklers in the ballroom.

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Answer:

x>4

Step-by-step explanation:

Since it is pointing right, it must be either

x>4

x≥4

Since it is not a filled circle the answer can't be greater than or equal to. So it must be x>4.

Answer:

\(x = \frac{5}{3}\)

Step-by-step explanation:

Parallelogram

It's a quadrilateral formed by two pairs of parallel sides. The opposite sides have equal lengths.

We are given a parallelogram with opposite sides of 3x+1 and 6x-4. They must be equal, thus:

6x - 4 = 3x + 1

Subtracting 3x:

3x - 4 = 1

Adding 4:

3x = 5

Dividing by 3:

\(\mathbf{x = \frac{5}{3}}\)

Answer:

y > +3= y > 3

Step-by-step explanation:

Just simple stuff i know i guess your welcome :)

Part (a): Part (b): Part (c): The signal is given by ƒ(t) = { ={& −1 < t < 0 0 < t < 1 where ƒ(t) = ƒ(t + 2).

The signal can be represented graphically by plotting ƒ(t) versus t. The sketch of the function ƒ(t) can be shown as follows:Using the trigonometric Fourier series formula we can write the general form of the Fourier series as follows: where wn is the frequency of the Fourier series and n is the harmonic number.

For this function, we can use the Fourier series formula for the square wave of amplitude one and period 2 as follows: where n is the harmonic number and wn = 2π/T = π.

the general Fourier series representation for ƒ(t) is given by;We can use MATLAB to plot both ƒ(t) and the partial sum of the Fourier series f5(t) on the same set of axes for -1 ≤ t ≤ 1, where 5 f5(t) = ao + (an cos(nwt) + b1 sin(nwt)). n=1.The following is the MATLAB code:The graphical representation of the function ƒ(t) and the partial sum of the Fourier series f5(t) can be shown as follows:In conclusion, the signal is represented by the function

ƒ(t) = { ={& −1 < t < 0 0 < t < 1 where ƒ(t) = ƒ(t + 2).

The sketch of the function ƒ(t) was plotted and the Fourier series representation was obtained by using the Fourier series formula for the square wave of amplitude one and period 2. Finally, MATLAB was used to plot both ƒ(t) and the partial sum of the Fourier series f5(t) on the same set of axes for -1 ≤ t ≤ 1, where 5 f5(t) = ao + (an cos(nwt) + b1 sin(nwt))

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Answer:

Corresponding Angles

Step-by-step explanation:

Corresponding angles are angles that are formed in matching corners when two parallel lines are intersected by another line.

Hope this helps

Answer:

80in^2

Step-by-step explanation:

3*12=36

3*12=36

4*2=8

36+36+8=80

The length of DE is 12 unit.

The area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).

Given:

In Triangle DFC using Trigonometry

sin 45 = B/ H

1/ √2 = DF / 12√2

DF = 12 unit

So, DE= DF + FE

DE = 12 + 9

DE = 12 unit.

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The correct value of approximately 19 payments are required to settle the loan.

To determine the number of payments required to settle the loan, we need to calculate the loan balance and divide it by the payment amount.

First, let's calculate the loan balance. The down payment made by General Computers Inc. is 30% of $61,000, which is $18,300. This means the loan amount is the remaining balance:

Loan amount = Purchase price - Down payment

= $61,000 - $18,300

= $42,700

Next, let's calculate the interest rate per period. The given interest rate is 3.50% compounded semi-annually. Since the payments are made quarterly, we need to adjust the interest rate accordingly. The semi-annual interest rate is:

Semi-annual interest rate = Annual interest rate / Number of compounding periods per year

= 3.50% / 2

= 0.035 / 2

= 0.0175

Now, let's calculate the loan balance after each payment. We'll use the formula for the future value of an ordinary annuity to calculate the loan balance at the end of each quarter:

Loan balance after each payment = Loan amount * (1 + Semi-annual interest rate)^(-Number of payments)

In this case, the loan amount is $42,700 and the payment amount is $2,250.53.

Let's calculate the number of payments required to settle the loan by iteratively subtracting the payment amount from the loan balance until the loan balance becomes zero:

Loan balance after payment 1 = $42,700 * \((1 + 0.0175)^(-1)\)

Loan balance after payment 2 = (Loan balance after payment 1 - Payment amount) * \((1 + 0.0175)^(-1)\)

Loan balance after payment 3 = (Loan balance after payment 2 - Payment amount) *\((1 + 0.0175)^(-1)\)

...Loan balance after payment n = (Loan balance after payment n-1 - Payment amount) *\((1 + 0.0175)^(-1)\)

We continue this calculation until the loan balance becomes zero.

Using this iterative calculation, we find that it takes approximately 19 payments to settle the loan.

Therefore, approximately 19 payments are required to settle the loan.

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Answer:

Use colon method

Step-by-step explanation:

So it is more easy

Answer: is, 4.  All of the above are equivalent statements.

The x-intercept is where the graph crosses the x-axis.

here, we have,

The x-intercept is the point at which a line crosses the x-axis.

now,

The roots of a function are the x-values of the x-intercepts.

Therefore, if (-3, 0) is an x-intercept, then -3 is a root.

The zeros of the function are the x-values when y = 0.

(-3, 0) means x = -3 when y = 0.

Therefore, -3 is a zero.

According to the factor theorem, if f(x) is a polynomial, and f(a) = 0, then (x – a)  is a factor of f(x).

Given (-3, 0), then f(-3) = 0.  Therefore, (x - (-3)) = (x + 3) is a factor.

Therefore, all given statements are equivalent statements.

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The piecewise function for this problem is given as follows:

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

The coefficients m and b represent the slope and the intercept, respectively, and are explained as follows:

The function for this problem is a piece-wise function, as it has different definitions based on the input of the function.

The intervals are given as follows:

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The equation of the line passing through the points (3 , 5) and (7 , 1) is x + y = 8.

The equation of a line can be expressed in different forms: standard form, slope-intercept form, and point-slope form

The standard form of an equation of a line is expressed as ax + by = c, where a and b, if all possible must be integers, are the coefficients of variable x and y, respectively, and c is a constant. Meanwhile, slope-intercept form is given by the formula y = mx + b, where m is the slope of the line and b is the y- intercept. On the other hand, given the slope m and a point on the line (x , y), we can express the equation in point-slope form, (y - y1) = m(x - x1).

Given two points, (3 , 5) and (7 , 1), use the point-slope form to generate the equation of the line. But, first, get the slope of the line using the two points.

m = (y2 - y1)/(x2 - x1)

m = (1 - 5)/(7-3)

m = -4/4

m = -1

Substitute the value of the slope and one point to the point-slope form.

(y - y1) = m(x - x1)

y - 5 = -1(x - 3)

y - 5 = -x + 3

Combining the variable(s) in one side and the constant(s) in the other.

y - 5 = -x + 3

x + y = 3 + 5

x + y = 8

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Answer:

Step-by-step explanation:

Amount paid for first 100 watches = (65% of 80) *100

                                                        \(=\frac{65}{100}*80*100\\\\= 65*80\\= 5200\)

Amount paid for next 50 watches = (55% of 80) * 50

                                                        \(= \frac{55}{100}*80*50\\\\= 55 * 8 * 5\\\\= 2200\)

Remaining watches = 280 -(100+ 55)

                                 = 280 - 155 = 125

Amount paid for 125 watches = (45% of 80) *125

                                                  \(= \frac{45}{100}*80*125\\\\= 45 * 20 * 5\\\\= 4500\)

Amount received by the watch maker = 5200 + 2200 + 4500

                                                               = £ 11900

Answer:

There are 12 possible ways in which the boys can sit together around the table.

Step-by-step explanation:

Given:

There are 2 boys and 3 girls.

There are 5 different chairs around a table.

We need to determine the number of ways the boys can sit together.

Now, let's calculate the number of ways these entities can be arranged around the table.

Step 1: Fix the position of the boys.

Since the two boys want to sit together, we can treat them as a single entity. So, we fix the position of this entity as one unit.

So, we'll have 4 entities in total

{BB, G, G, G},

where, 'BB' represents the two boys together, and 'G' represents each girl.

Step 2: Arrange the remaining entities.

We know that ,

Number of ways in which "n" members can sit around a round table is (n-1)!

So these entities can be arranged in (4 - 1)! = 3! = 6 ways around the table.

Step 3: Account for the arrangements within the boys' entity.

Within the entity 'BB' (the two boys), they can arrange themselves in 2! = 2 ways.

Step 4: Calculate the total number of arrangements.
We know that,  As per fundamental principle of counting ,

If a first job can be done in m ways and a second job can be done in n ways then the total number of ways in which both the jobs can be done in succession is m x n

Hence we get,

Total arrangements = (Number of arrangements of entities) * (Number of arrangements within the boys' entity)

Total arrangements = 6 * 2 = 12

Therefore, there are 12 possible ways in which the boys can sit together around the table.

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The number of possible ways they can be seated is 48.

Given that, two boys and three girls are going to sit around a table with 5 different chairs.

Permutations are different ways of arranging objects in a definite order. It can also be expressed as the rearrangement of items in a linear order of an already ordered set. The symbol nPr is used to denote the number of permutations of n distinct objects, taken r at a time.

ⁿPr= n!/(n-r)!

⁵P₂=5!/(5-2)!

3 girls can themselves be arranged in 3! ways.

2 boys can themselves be arranged in 2! ways.

Taking boys and girls as two units can be arranged in 2! ways.

Total number of ways of such arrangements=3!×2!×2!×2!

=6×2×2×2=48 ways.

Therefore, the number of possible ways they can be seated is 48.

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Answer:

Point Form:

( 0 , 3 )

Equation Form:

x = 0 , y = 3

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

ΔH∘ at 298 K for the reaction A+B ⟶ 2C is 626.263 kJ. To calculate Δ∘ at 298 K for the reaction A+B ⟶ 2C, we can use the standard enthalpy change values provided and apply Hess's Law.

The reaction A+B ⟶ 2C can be obtained by subtracting the reaction 2D ⟶ D from the given reaction A+BC ⟶ 2D. By subtracting the corresponding ΔH∘ values, we can find the ΔH∘ for the desired reaction.

Given information:

ΔH∘ for A+BC ⟶ 2D = 626.6 kJ

ΔH∘ for 2D ⟶ D = 337.0 J/K (Note: The unit is J/K instead of kJ)

First, we need to convert the unit of ΔH∘ for 2D ⟶ D from J/K to kJ/K:

ΔH∘ for 2D ⟶ D = 0.337 kJ/K

Now, we subtract the ΔH∘ for 2D ⟶ D from ΔH∘ for A+BC ⟶ 2D:

ΔH∘ for A+BC ⟶ 2D - ΔH∘ for 2D ⟶ D = 626.6 kJ - 0.337 kJ/K = 626.263 kj

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Selecting all students with last names beginning with the letter M would not produce a random sample of a school population of 1000 students. Hence the answer is no.

A random sample is obtained by selecting individuals from a population in a way that ensures every member of the population has an equal chance of being included in the sample.

By choosing only students with last names beginning with the letter M, you are introducing a bias and not providing an equal chance for all students to be selected.

To obtain a random sample of 1000 students from a school population, you would need to use a random selection method that ensures each student has an equal probability of being chosen.

This could be achieved through techniques such as random number generators, random sampling software, or random sampling techniques like stratified or cluster sampling.

Selecting all students with last names beginning with the letter M would not meet the requirements of a random sample, as it would not provide an equal chance for all students in the population to be included.

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The area of the shaded part is 33.04 \(cm^2\)

In the given figure the radius of the circle is not given so seeing the figure we are assuming the radius of the circle to be 6 cm.

We need to find the area of the circle and then subtract the area of the non-shaded part to get the area of the shaded part.

To find the area of the circle we know the formula:

Area of the circle = \(\pi r^2\)

here we know that the radius is 6 cm and pi holds the value of 3.14.

Substituting the values in the formula we get

area = 3.14 * 6 * 6

area= 113.04 \(cm^2\).

Now we need to find the area covered by the non-shaded structure we can see the structure consists of a rectangle of length 4 cm and width 12cm and two squares with sides 4cm. We can add the area of all of them to get the area of the non-shaded part.

Area of the rectangle = 4*12= 48

Area of one the squares = 4*4 = 16

Area of both the squares = 2*16= 32

The total area covered by non-shaded part = 48+32=80 \(cm^2\)

Now the area of the shaded part = 113.04 - 80 = 33.04 \(cm^2\).

Therefore, the area of the shaded part is 33.04 \(cm^2\)

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Answer:  rice a

Step-by-step explanation:

convert 1/5 to a decimal .20 <.25

Bag of rice B gives more rice than bag A as per the percentage.

A percentage is a figure or ratio stated as a fraction of 100 in mathematics. Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent symbol, "%," is frequently used to indicate it. A % is a number without dimensions and without a standard measurement.

Given, A shop sells two different bags of rice. Rice A has 500g plus 25% extra free and Rice B has750g plus 1/5 extra free.

For calculating the free amount of rice,

For Bag A

Frre amount of rice  = 500* 25%  = 500 *25/ 100 = 125g

For Bag B

Frre amount of rice  = 750 * 1/5 = 150g

Therefore, According to the percentage, bag B of rice contains more rice than bag A.

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Answer:

Function 2 shows a greater rate of change, because Richard spends $6 each month and Celina spends $2 each month.

Answer:

D) took test

Step-by-step explanation: