If jerry has two groups of 5 bananas how many total bananas does he have?

We have the next system of equations

y=-5 ....(1)

y=4x+19​ ...(2)

we substitute the first equation into the second equation and we have

-5=4x+19

then we clear x

-4x=19+5

-4x=24

x=24/-4

x=-6

the solution is

x=-6

y=-5

Answer:

D. 120 squared

Step-by-step explanation:

Answer:

A: 236 sqaure ft.

B: 4 cans

Step-by-step explanation:

Sure, I can help you with that.

Part A:

The total surface area of a rectangular prism is calculated using the following formula:

Total surface area = 2(lw + wh + lh)

where:

In this case, we have:

Plugging these values into the formula, we get:

Total surface area = 2(8*6+6*5+8*5) = 236 square feet

Therefore, the total surface area of the doghouse is 236 square feet.

Part B:

Since the bottom of the doghouse will not be painted, we only need to paint the top, front, back, and two sides.

The total surface area of these sides is 236-6*8 = 188 square feet.

Therefore,

we need 188 ÷ 50 = 3.76 cans of paint to paint the doghouse.

Since we cannot buy 0.76 of a can of paint, we need to buy 4 cans of paint.

Answer:

A)  236 ft²

B)  4 cans of paint

Step-by-step explanation:

The given diagram (attached) shows the doghouse modelled as a rectangular prism with the following dimensions:

The formula for the total surface area of a rectangular prism is:

\(S.A.=2(wl+hl+hw)\)

where w is the width, l is the length, and h is the height.

To find the total surface area of the doghouse, substitute the given values of w, l and h into the formula:

\(\begin{aligned}\textsf{Total\;surface\;area}&=2(6 \cdot 8+5 \cdot 8+5 \cdot 6)\\&=2(48+40+30)\\&=2(118)\\&=236\; \sf ft^2\end{aligned}\)

Therefore, the total surface area of the doghouse is 236 ft².

\(\hrulefill\)

As the bottom of the doghouse will not be painted, to find the total surface area to be painted, subtract the area of the base from the total surface area:

\(\begin{aligned}\textsf{Area\;to\;be\;painted}&=\sf Total\;surface\;area-Area\;of\;base\\&=236-(8 \cdot 6)\\&=236-48\\&=188\; \sf ft^2\end{aligned}\)

Therefore, the total surface area to be painted is 188 ft².

If one can of paint will cover 50 ft², to calculate how many cans of paint are needed to paint the doghouse, divide the total surface area to be painted by 50 ft², and round up to the nearest whole number:

\(\begin{aligned}\textsf{Cans\;of\;paint\;needed}&=\sf \dfrac{188\;ft^2}{50\;ft^2}\\\\ &= \sf 3.76\\\\&=\sf 4\;(nearest\;whole\;number)\end{aligned}\)

Therefore, 4 cans of paint are needed to paint the doghouse.

Note: Rounding 3.76 to the nearest whole number means rounding up to 4. However, even if the number of paint cans needed was nearer to 3, e.g. 3.2, we would still need to round up to 4 cans, else we would not have enough paint.

Tthe area enclosed by the lemniscate is 4 units squared.

The lemniscate is symmetric about the x-axis and y-axis, so we can find the area in the first quadrant and multiply it by 4.

In polar coordinates, the equation of the lemniscate can be written as:

r^2 = 4cos(2θ)

Squaring both sides, we get:

r^4 = 16cos^2(2θ)

Converting to Cartesian coordinates, we have:

x^2 + y^2 = 16cos^2(2θ)

Using the identity cos(2θ) = (1/2)(cos^2θ - sin^2θ), we can simplify the equation to:

x^2 + y^2 = 8(cos^4θ - cos^2θsin^2θ)

Multiplying both sides by r, we get:

r^2 = 8r(cos^4θ - cos^2θsin^2θ)

Substituting x = rcosθ and y = rsinθ, we get:

x^2 + y^2 = 8(x^2 - xy + y^2)(x^2 + y^2)

Simplifying, we get:

x^4 - 2x^2y^2 + y^4 = (1/8)

This is the equation of a quartic curve, which is symmetric about the x-axis and y-axis.

To find the area enclosed by the lemniscate in the first quadrant, we can integrate over the range 0 ≤ θ ≤ π/4:

A = 4 ∫[0,π/4] ∫[0,r(θ)] r dr dθ

where r(θ) = 2√cos(2θ).

Evaluating the integral, we get:

A = 4 ∫[0,π/4] ∫[0,2√cos(2θ)] r dr dθ

= 4 ∫[0,π/4] (1/2)(2√cos(2θ))^2 dθ

= 4 ∫[0,π/4] 2cos(2θ) dθ

= 4[sin(π/2) - sin(0)]

= 4

Therefore, the area enclosed by the lemniscate is 4 units squared.

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Answer:

8

Step-by-step explanation:

Find the smaller of 2 consecutive integers, x, if the sum of the smaller and 4 times the larger is 44.

Two consecutive integers are represented as:

Smaller integer = x ,

Larger Integer = x + 1

If the sum of the smaller and 4 times the larger is 44

x + 4(x + 1) = 44

x + 4x + 4 = 44

5x + 4 = 44

5x = 44 - 4

5x = 40

x = 40/5

x = 8

Therefore, the smaller of 2 consecutive integers which is x = 8

Answer:-3 1/24

Step-by-step explanation:

9514 1404 393

Answer:

  decrease

Step-by-step explanation:

39 is less than 74, so the change is a decrease, both in absolute and relative (percentage) terms.

__

The percentage change is ...

  (39/74 -1) × 100% = -47.3% . . . . a decrease when the sign is negative

Answer:

(D). f(x) = 3 · \((4)^{x}\)

Step-by-step explanation:

The equation of an exponential function is

f(x) = y =  \(a(b)^{x}\)

For point (0, 3)

3 = a \((b)^{0}\) ⇒ a = 3

For point (1, 12)

12 = 3 \((b)^{1}\) ⇒ b = 4

f(x) = 3 · \((4)^{x}\)

The solution of the given question is as follows :A club is choosing 2 members to serve on a committee.

Based on chance alone, the probability that one woman and one man will be chosen to be on the committee are as follows :Probability of selecting 1 woman out of 3 = 3C1 = 3Probability of selecting 1 man out of 1 = 1C1 = 1Probability of selecting 2 members from 4 = 4C2 = 6Therefore, the total number of ways that 2 members can be selected from 4 are: 3 × 1 × 6 = 18There are 18 different possible ways that a committee can be formed consisting of one woman and one man out of 3 women and 1 man.

Thus, the probability that one woman and one man will be chosen to be on the committee is: 3 × 1/6 = 1/2.00 = 0.5000 the probability that one woman and one man will be chosen to be on the committee is 0.5000 or 50% or 1/2 (in fraction) or 0.5 (in decimal).Hence, the solution of the given question is as follows: Probability that one woman and one man will be chosen to be on the committee is 0.5000.

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Answer:

x=3/20

Step-by-step explanation:

The solutions to the system of linear equation (x, y) are 1 and 4/3 respectively

A system of linear equations is a collection of two or more linear equations with the same variables. The goal of solving a system of linear equations is to find the values of the variables that simultaneously satisfy all the equations in the system.

From the question given;

-x + 6y = 7 ...eq(i)

6x - 30y = -34 ...eq(ii)

From eq (i)

x = 6y - 7 ..eq (iii)

Put eq (iii) into eq (ii)

6(6y - 7) - 30y = -34

36y - 42 - 30y = -34

6y - 42 = -34

6y = -34 + 42

6y = 8

y = 4/3

Put y = 4/3 into eq (i)

-x + 6(4/3) = 7

-x + 24 / 3 = 7

x = 24/3 - 7

x = 1

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Answer:

x = 2, 6

Step-by-step explanation:

differentiate f(x) using the power rule

f'(a\(x^{n}\) ) = na\(x^{n-1}\) and f'( constant) = 0

given

f(x) = x³ - 12x² + 6x - 8

f'(x) = 3x² - 24x + 6

equate f'(x) to - 30

3x² - 24x + 6 = - 30 ( add 30 to both sides )

3x² - 24x + 36 = 0 ( divide through by 3 )

x² - 8x + 12 = 0 ← in standard form

(x - 2)(x - 6) = 0 ← in factored form

equate each factor to zero and solve for x

x - 2 = 0 ⇒ x = 2

x - 6 = 0 ⇒ x = 6

solution is x = 2, 6

Answer:

x = -5/2  + root(33)/2   or   x = -5/2 - root(33)/2

Step-by-step explanation:

ok so your computer is

saying:

x^2  + 5x = 2

and takes the 5 divides it by 2  and squares the result

x^2  + 5x  +  25/4    =   2 + 25 /4   but then   replaces a trinomial with a binomial

(x + 5/2)^2  =  2 + 25/4 =  33/4

solving

x = -5/2  + root(33/4)   or   x = -5/2 - root(33/4)

or

x = -5/2  + root(33)/2   or   x = -5/2 - root(33)/2

Answer:

C and D

Step-by-step explanation:

correct on edge

The domain for n in the function a(n) = 2 - 5(n + 1) is all integers where n ≥ 1

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

a(n) = 2 - 5(n + 1)

The variable n is an integer that represents the current term in the sequence

In this case, the smallest value of n is 1

i.e. n = 1

This means that the domain is all integers where n ≥ 1

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Answer:

x = 18

Step-by-step explanation:

Given:

Finding x for which 3b = 5a:

Answer:

x = 18

Step-by-step explanation:

Plug in 4x-7 for b and 2x+3 for a in 3b = 5a

3(4x-7) = 5(2x +3)

Solve for x:

12x-21 = 10x+15

2x = 36

x=18

Answer:

Linear.

Cubic.

Step-by-step explanation:

Two functions always share the domain (-∞, ∞) and range (-∞, ∞) are linear and cubic.

" Domain is defined as the set of all input values in the given function."

" Range is defined as the set of all output values in the given function."

According to the question,

For linear function we can put all the real numbers for the independent variable 'x' that is ( -∞ , ∞).

Domain of a linear function = ( -∞ , ∞).

Output values of the linear function is set of all real numbers (-∞,∞).

Range of a linear function = (-∞,∞).

For cubic function

Cubic function is an odd polynomial . One end extends to +∞ and other end to -∞.

Domain and range of cubic function (-∞,∞).

Hence, two functions always share the domain (-∞, ∞) and range (-∞, ∞) are linear and cubic.

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Answer:

D

Step-by-step explanation:

Since it's talking abtou clusters, the only "cluster" like part there is there is where 94 and 95 are, so it has to be D.

Using the scatter plot and the range concept, it is found that the correct option is:

C)  91°F to 98°F average July high temperature

The range of a data-set is the set that contains all possible output values.

In this problem, the average July temperature is the output, plotted as function of the average January temperature, which is the input.

C)  91°F to 98°F average July high temperature

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Answer: A

Step-by-step explanation:

x ^ 6 = x · x · x · x · x · x

6 + x = x + 6

6x = x + x + x + x + x + x

x / 6 = x / 6

Answer: 6

Step-by-step explanation:

Answer:

step 4

Step-by-step explanation:

4+2=6

The answer is: −8s

Hope this helps :)

The total change in the consumed quantity of x₁ as per given price and income  is equal to 213.

x₁ = (21/7)P₁

x₂ = (51/7)P₂

P₁ = 10

P₂ = 5

P₁' = 81

To calculate the total change in the quantity consumed of x₁ when the price of P₁ changes from P₁ to P₁',

The difference between the quantities consumed at the original price and the new price.

Let's calculate the quantity consumed at the original price,

x₁ orig

= (21/7)P₁

= (21/7) × 10

= 30

x₂ orig

= (51/7)P₂

= (51/7) × 5

= 36.4286 (approximated to 4 decimal places)

Now, let's calculate the quantity consumed at the new price,

x₁ new

= (21/7)P1'

= (21/7) × 81

= 243

x₂ new

= (51/7)P2

= (51/7) × 5

= 36.4286

The total change in the quantity consumed of x₁ can be calculated as the difference between the new quantity and the original quantity,

Change in x₁

= x₁ new - x₁ original

= 243 - 30

= 213

Therefore, the total change in the quantity consumed of x₁ is 213.

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The above question is incomplete, the complete question is:

The optimal amount of x1, x2, P1, P2 and income are given by the following:

x1= 21/ 7p1 x2= 51 / 7p2

The original prices are: P1=10 P2=5 The original income is: I =4189 The new price of P1 is the following: P1'=81 Assume that the price of x1 has changed from P1 to P1'. What is the total change in the quantity consumed of x1?

Please answer step by step

Answer:

Step-by-step explanation:

the simpliest form is \(1\frac{2}{5}\)

It already is a fraction. If you need it simplified, it would be 1 2/5.

---

hope it helps

Answer:

\((2, \frac{7}{2} )\)

Step-by-step explanation:

The midpoint between two points is:

\((\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2} )\) when the given points are \((x_1,y_1)\) and \((x_2,y_2)\)

Plug in the points (1,6) and (3,1)

\(= (\frac{1+3}{2} , \frac{6+1}{2} )\\= (\frac{4}{2} , \frac{7}{2} )\\= (2, \frac{7}{2} )\)

Therefore, the midpoint between (1,6) and (3,1) is \((2, \frac{7}{2} )\).

I hope this helps!

Bryant Industries uses forecasting to estimate the number of orders that will be placed by their customers. The table below gives the sales figures for the last four months.Month2345Sales92491942004There are different forecasting techniques used by companies like Bryant Industries to predict future sales.

One of the most widely used methods is the time-series method. This method is particularly useful when the demand for a product or service changes over time and when there are no external factors that affect the sales. In this case, we can use a time-series method called the moving average to estimate future sales. The moving average is a time-series method that uses the average of past sales data to estimate future sales. It is particularly useful when there are no external factors that affect the sales. In this case, we can use a 3-month moving average to estimate future sales. The 3-month moving average is calculated as follows: (924 + 919 + 420) / 3 = 754.33. This means that we can expect sales of around 754 units next month. The moving average method is easy to use and is a good way to get a quick estimate of future sales. However, it has some limitations. For example, it does not take into account external factors that may affect sales, such as changes in the economy or in consumer behavior.

In conclusion, Bryant Industries can use the moving average method to estimate future sales. However, they should also consider other factors that may affect sales, such as changes in the economy or in consumer behavior. By doing so, they can make more accurate forecasts and improve their overall performance.

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When x is a uniformly distributed random variable on [0,1], it divides the interval [0,1] into two subintervals: [0,x] and [x,1]. This division exhibits symmetry, as explained in the following paragraphs.

Consider a uniformly distributed random variable x on the interval [0,1]. The probability density function of x is constant within this interval. When x takes a particular value, it acts as a dividing point that splits [0,1] into two subintervals.

The first subinterval, [0,x], represents all the values less than or equal to x. Since x is randomly distributed, any value within [0,1] is equally likely to be chosen. Therefore, the probability of x falling within the subinterval [0,x] is equal to the length of [0,x] divided by the length of [0,1]. This probability is simply x.

By symmetry, the second subinterval, [x,1], represents all the values greater than x. The probability of x falling within the subinterval [x,1] can be calculated as the length of [x,1] divided by the length of [0,1], which is equal to 1 - x.

The symmetry arises because the probability of x falling within [0,x] is the same as the probability of x falling within [x,1]. This symmetry is a consequence of the uniform distribution of x on the interval [0,1].

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Answer:

Step-by-step explanation:

p = 10x + 2 + 7x - 6 + 8x

p = 25x - 4

Answer:

perimeter = 10x + 2 + 7x - 6 + 8x

= 25x - 4...ans

Step-by-step explanation:

The coefficient used to assess the internal consistency of a measure typically refers to Cronbach's alpha coefficient.

The coefficient used to assess the internal consistency of a measure typically refers to Cronbach's alpha coefficient. This coefficient is a statistic that quantifies the internal consistency reliability of a scale or measure, specifically for measures with multiple items or indicators that are intended to measure the same underlying construct.

The coefficient ranges between 0 and 1, with higher values indicating greater internal consistency. Cronbach's alpha measures the extent to which the items in a scale or measure correlate with each other. It assesses how well the items are measuring the same underlying construct or concept.

In other words, the coefficient represents the proportion of variance in the observed scores that can be attributed to the true score, rather than measurement error or other extraneous factors. It indicates the degree to which the items in the measure are interrelated or consistent with each other, with higher values suggesting stronger internal consistency.

Researchers often use Cronbach's alpha to assess the reliability of scales in various fields, such as psychology, education, and social sciences, to ensure that the measure is measuring the construct consistently and accurately.

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