Which of the following equations is 2x + 3y = 6 written in slope-intercept form.
oy--(2/3)x + 6
y=-2/3)x+ 2
y=-(3/2)x+ 2

Answer:

(5*85)/4-(7-4)

425/4-(7-4)

425/4-3

106.25-3

103.25

It is not 47.

Answer:

1296$

Step-by-step explanation:

0.08*1350 = 108

108* 12= 1296

Thats the simplest way I can tell you

<3

since x = 2 and y = - 3 worked for the two equations I know that (2, - 3) is the solution to this system of equations.

To check a system of equations by substitution, you plug your values for x and y into the first equations. On the off chance that both simplified expressions are valid, your answer is right.

For instance: To check if (2, - 3) was the right solution for the system of equations:

y = - 2x + 1 and y= x - 5

substitute 2 for x and - 3 for y into every equation

y = - 2x + 1

-3 = - 2(2) + 1

-3 = - 4 + 1

-3 = - 3

also,

y = x - 5

-3 = 2 - 5

-3 = - 3

since x = 2 and y = - 3 worked for the two equations I know that (2, - 3) is the solution to this system of equations.

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Answer:

If it's choose all that apply then it's right and complementary.

Step-by-step explanation:

The little square in the corner tells you that angle is a right angle.

A complementary angle is, two angle measurements that add up to 90°. In this case since the whole figure is a right angle, a.k.a 90°, that's why the smaller angles would be complementary.

I hope this makes sense, and is correct :)

Answer:

Yes

Step-by-step explanation:

16x^4 x 16x^2= 16x^8

Answer:

Step-by-step explanation:

1.

From the given information;

sample size n = 10

\(\bar x = \dfrac{\sum x}{n}\)

we can have the weight(x) and the additional column \((x - \bar x)^2\) to be as follow;

weight (x)                                  \((x - \bar x)^2\)

12.32                                       0.805

11.87                                        0.200

12.84                                       0.841

11.48                                       0.003

12.66                                      1.530                                    

8.51                                        8.486

14.13                                       9.328

12.95                                      2.332

9.34                                       4.339

8.63                                       7.801

\(\sum x = 114.23\)                       \(\sum(x- \bar x)^2 = 33.664\)

\(\bar x = \dfrac{\sum x}{n}\)

\(\bar x = \dfrac{114.23}{10} \\ \\ \bar x= 11.423\)

Sample standard deviation

\(s = \sqrt {\dfrac{\sum(x-\bar x)^2}{n-1}} \\ \\s = \sqrt {\dfrac{33.664}{10-1}} \\ \\ s= \sqrt{\dfrac{33.664}{9}}\\ \\ s= 1.934\)

degree of freedom df =  n-1

= 10 -1

= 9

For 90% confidence interval C.I      ∝  = 1 - 0.90 = 0.10

∝/2 = 0.10/2 = 0.05

From t-distribution table;

the value of t having an area of ( ∝/2 = 0.05) in its upper tail &  for (df = 9) is given by:

\(t_{0.05} = 1.833\)

The Margin of error ;

M.O.E = \(t_{0.05} * \dfrac{s}{\sqrt{n}}\)

M.O.E = \(1.833 * \dfrac{1.934}{\sqrt{10}}\)

M.O.E = 1.121

90% C.I for mean weight μ

The lower limit of 90% C.I = 11.423 - 1.121 = 10.302

The upper limit of 90% C.I = 11.423 + 1.121 = 12.544

Therefore, 90% C.I for the mean weight of the baby girls is; 10.302 <  μ < 12.544.

B.

The mean weight of 13.9 pounds of two month old baby is outside the limits of 90%  Confidence Interval C.I as derived above ;

Therefore; we conclude that it is not reasonable to believe that the mean weight of two-month-old baby girls may be the same as that of two-month-old baby boys.

2.    

weight (x)           \((x- \bar x) ^2\)

4.753                  0.193

4.374                  0.004

4.175                  0.019

4.676                  0.131

4.424                  0.0121

4.228                  0.007

4.124                  0.0361

4.254                   0.004

3.955                  0.129

4.196                  0.014

4.291                  0.000529

\(\sum x = 47.45\)        \(\sum (x- \bar x)^2 = 0.549729\)

where sample size n = 11

\(\bar x = \dfrac{\sum x}{n}\)

\(\bar x = \dfrac{47.45}{11}\)

\(\bar x = 4.314\)

sample standard deviation

\(s = \sqrt {\dfrac{\sum(x-\bar x)^2}{n-1}} \\ \\s = \sqrt {\dfrac{0.549729}{11-1}} \\ \\ s= \sqrt{\dfrac{0.549729}{10}}\\ \\ s= 0.235\)

degree of freedom = n - 1 = 11 - 1 = 10

For 80% confidence interval C.I ∝ = 1 - 0.80 = 0.20

∝/2 = 0.20/2

∝/2 = 0.1

From t-distribution table;

the value of t having an area of ( ∝/2 = 0.1) in its upper tail &  for (df = 10) is given by:

\(t_{0.1} = 1.37\)

The Margin of error ;

M.O.E = \(t_{0.05} * \dfrac{s}{\sqrt{n}}\)

M.O.E = \(1.37 * \dfrac{0.235}{\sqrt{11}}\)

M.O.E = 0.0971

80% C.I for mean weight μ

The lower limit of 80% C.I = 4.314 - 0.0971 = 4.2169

The upper limit of 80% C.I = 4.314 + 0.0971 = 4.4111

Therefore, 80% C.I for the mean rate  is; 4.2169 <  μ < 4.4111.

We want to find the angle A. For doing that, we need to use something called The Law of Sines. It relates the angles and measures of its opposite edges. Applying it in this particular case gives us:

Note that A is the opposite angle of the edge BC, and 62° is the opposite angle of the edge CA (They must be opposite!).

Just remains to solve the equation. Let's solve it:

The next step is just to use a calculator. Let's put the right-hand side within an inverse sin (sin^-1):

Answer:

There are a total of 20 presents, and 3 of them contain gems. Therefore, there are 20 - 3 = 17 presents that do not contain gems.

The probability of randomly selecting a present that does not contain a gem is 17/20 = 0.85 or 85%.

hope it helps you...

Answer:

The Bison is faster by 10 miles per hour.

Step-by-step explanation:

The Bison runs at 3520 ft / min

= 3520/ 5280 miles / minute

= (3520/ 5280) * 60 miles per hour

= 40 miles per hour

Answer:

what is this

you are asking or telling dear

Answer:

I might be able to help you out.

Answer:

x=17

Step-by-step explanation:

10x-22=8x+12

-8x        -8x

2x-22=12

+22      +22

2x=34

x=17

112

suplementry angle add to 180 so 180_68=112

Answer:

1500

Step-by-step explanation:

STEP 1 900 = 60% × Y

STEP 2 900 =

60

100

× Y

Multiplying both sides by 100 and dividing both sides of the equation by 60 we will arrive at:

STEP 3 Y = 900 ×

100

60

STEP 4 Y = 900 × 100 ÷ 60

STEP 5 Y = 1500

Answer:

θ = 0 to θ = 2π, r = 1 to r = -1 and z = 0 to z = 3

Step-by-step explanation:

Since the integration is in cylindrical coordinates, θ is integrated from 0 to 2π.

Since r = cosθ

when θ = 0, r = cos0 = 1

when θ = 2π, r = cos2π = -1

Since the region is bounded below by the plane z = 0, and on the top by the paraboloid z = 3r², z is integrated from z = 0 to z = 3r².

So, when r = 1, z = 3r² = 3(1)² = 3

when r = -1, z = 3r² = 3(-1)² = 3

So, the limits of integration of  

∭f(r,θ,z)dz r dr dθ are θ = 0 to θ = 2π, r = 1 to r = -1 and z = 0 to z = 3

Answer and Step-by-step explanation:

2 + 83p would be the expression.

In word form:

Two plus eighty three times p.

#teamtrees #PAW (Plant And Water)

Answer:

\(2 + 83p\)

Step-by-step explanation:

The phrase 'the sum of' indicates addition.

The phrase "The sum of 2 and 83p​" would add '2' and '83p'.

"The sum of 2 and 83p​" as an expression would be: \(2 +83p\).

\(83p + 2\) would also be correct due to the commutative property.

Hope this helps.

Answer:

Step-by-step explanation:

Answer:

It’s probably infinitely many solutions

Step-by-step explanation:

See attached picture

*sorry if that doesn’t help

x⁴ - 8x² + 17 is the function that represents the fog(x).

To find fog(x), we first need to find g(f(x)), which means we need to substitute the expression for f(x) into the expression for g(x):

g(f(x)) = g(x² - 4)

Now, we can substitute the expression for g(x) into the above expression:

g(f(x)) = (x² - 4)² + 1

Expanding the squared term, we get:

g(f(x)) = x⁴ - 8x² + 17

Therefore, fog(x) = g(f(x)) = x⁴ - 8x² + 17.

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Complete question:

f(x) = x² - 4 and g(x)= x^2 + 1  find fog(x).

Nellie would be indifferent between renting the meadow and haying it herself if the price of purchased replacement hay is $59.22 per ton.

Partial budget:

Fertilization cost: $46 x 320 acres = $14,720

Harvesting cost: $72 x 320 acres x 1 ton/acre = $23,040

Total decreased cost = $37,760

Sale of hay: 150 acres x 170 ton/acre x $170/ton = $4,095,000

Total decreased revenue = $0

Rental income: $165 x 320 acres = $52,800

Additional revenue from increased hay yield: 320 acres x (1 ton/acre - 0.75 ton/acre) x $170/ton = $13,600

Total increased revenue = $66,400

Total Positive Changes = $66,400

Purchase of replacement hay: 225 ton x $185/ton = $41,625

Total increased cost = $41,625

Total Negative Changes = $41,625

Incremental Profit = Total Positive Changes - Total Negative Changes

Incremental Profit = $66,400 - $41,625

Incremental Profit = $24,775

Based on the partial budget, Nellie should lease the property to her neighbor to run his steers on next summer since she can make an incremental profit of $24,775.

To determine the price of purchased replacement hay at which Nellie would be indifferent between renting the meadow and haying it herself, we can set the incremental profit to zero and solve for the price of hay:

$66,400 - X = $41,625 + 0

X = $24,775

$170/ton - X = $24,775/225 ton

X = $170/ton - $110.78/ton

Therefore, Nellie would be indifferent between renting the meadow and haying it herself if the price of purchased replacement hay is $59.22 per ton.

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Answer:

\(a_{n}\) = 8\(a_{n-1}\) ; a₁ = - 2

Step-by-step explanation:

a recursive formula in a geometric sequence allows a term to be found by multiplying the preceding term by the common ratio r

here r = \(\frac{a_{2} }{a_{1} }\) = \(\frac{-16}{-2}\) = 8 , then

\(a_{n}\) = 8\(a_{n-1}\) ; a₁ = - 2

The solution is,  2.5 miles per hour was her walking rate in miles per hour.

We know that,

Speed is measured as distance moved over time.

The formula for speed is speed = distance ÷ time.

To work out what the units are for speed, you need to know the units for distance and time.

In this example, distance is in metres (m) and time is in seconds (s), so the units will be in metres per second (m/s).

Speed = Distance/ Time.

Here, given that,

Bao walked 15 miles in 6 hours.

so, we get,

in 6 hours = 15 miles

so, in 1 hour = 15 / 6 miles

                    =2.5 miles

Hence, The solution is,  2.5 miles per hour was her walking rate in miles per hour.

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Answer:

U = (4,4)

V = (1,1)

W = (3,-3)

Step-by-step explanation:

step 1: note down their current positions

U = (-4, 4)

V = (-1,1)

W = (-3, -3)

step 2: flip the sign of the x coordinates since you are flipping them over the y axis.

U = (-4, 4) --> (4,4)

V = (-1,1) --> (1,1)

W = (-3, -3) --> (3,-3)

step 3: that's it lol you have your answers

U = (4,4)

V = (1,1)

W = (3,-3)

Answer:11

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

its 11 because 66 divided by 6 = 11

Graph cookies and coffee, slope -2. Ben buys 2 cookies and 2 coffees. To optimize, allocate budget where MU per dollar is equal.

A budget is a financial plan that outlines expected income and expenses over a certain period. It helps individuals or organizations manage their money and make informed decisions about spending and saving.

Consumption refers to the use of goods and services by individuals, households, or organizations. It is an essential part of the economy and can be influenced by factors such as income, preferences, and prices.

According to the given information:

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From the remainder theorem, the remainder will be -2 and the relationship between f(x) and x + 2 is an inverse relationship.

The remainder theorem is used to determine the remainder where a polynomial is divided by a binomial.

The remainder theorem states that if a polynomial p(x) is divided by a binomial x - a, the remainder of the division is p(a).

Given the following division, f(x)/ x + 2

We can rewrite the binomial in this form:

x + 2 = x - (-2)

The division then becomes:

f(x)/ x - (-2)

From the remainder theorem, the remainder will be -2.

Therefore, the relationship between f(x) and x + 2 is an inverse relationship such that f(2) = -2

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After 4.5 seconds, the baseball will have dropped approximately 99.35 meters.

To find out how far the baseball will have dropped after 4.5 seconds, we need to use the free fall formula.

The terms involved in this calculation are:
Time (t): 4.5 seconds.

Acceleration due to gravity (g): 9.81 m/s² (approximated)
Distance dropped (d)
The free fall formula is:
\(d = (1/2) \times g \times t^{2}\)
Now, we will plug in the given values and solve for d:
Substitute the values
\(d = (1/2) \times 9.81 \times  (4.5)^{2}\)
Calculate the square of time
\(d = (1/2) \times 9.81 \times 20.25\)
Multiply the values
d = 99.3525.

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