Cantaloupes are on sale at four different stores. Which store offers the lowest unit rate for cantaloupes, in dollars per pound? Fresh Farm: $4.50 for 5lbs Fruit Garden: $1/5 for 1/3lb Mother Nature: $4 for 5 lbs Country Market: $0.85 per pound

INSTANCE.

In my opinion a red mustang is an instance of the car class.

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2.4 hours

Ten percent is ten per every hundred, that is ten percent is Thus ten percent of 24 hours is 0.10 \times 24 = 2.4 hours.

Answer:

2.4 hours

Step-by-step explanation:

24÷10=2.4

The Answer Is: B and C

Answer: ( -2, 7 )

Step-by-step explanation:

Solve 4x + y = -1 for y:

Add -4 to both sides:

4x + y + -4 = -1 + -4

y = -4x - 1

Now plug -4x -1 in the other equation with y:

-5x - 2 ( -4x -1 ) = -4

3x + 2 = -4

Add -2 to both sides:

3x + 2 - 2 = -4 + -2

3x = -6

Now divide both by 3:

3x/3 = -6/3

x = -2

Now plug in -2 in the first equation with x:

y = - 4 ( -2 ) - 1

y = 7

The distance is 441.95 feet.

The Green Monster is the wall in left field in Boston's Fenway Park. It is 315 feet from home plate down the left field line.

The distance from home plate to the Green Monster is the hypotenuse of a right triangle with legs of 315 feet (the distance down the left field line) and 310 feet (the distance to the base of the wall).

Using the Pythagorean Theorem (a² + b² = c²), we can find the distance from the home plate to the Green Monster:

315² + 310² = c²

99225 + 96100 = c²

191325 = c²

c= √191325 ≈ 441.95

Therefore, the distance from the home plate to the Green Monster is approximately 441.95 feet.

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Answer:

x > 1 The open cicle dot should be on 1 and should go beyond 1. So 1,2,3,4...etc

Step-by-step explanation:

Solution

The intercept is only on y axis (0,-5)

The vertex (-1, -2)

The axis of symmetry is x = -1

The Domain is all real numbers

The range is

Answer:

A) 5

Explanation:

\(\sf Distance \ between \ two \ points = \sqrt{(x_2 - x_1)^2 - (y_2 - y_1)^2}\)

Here given points:

Distance:

\(\rightarrow \sf \sqrt{(6 - 3)^2 - (8 - 4)^2}\)

\(\rightarrow \sf \sqrt{9 +16}\)

\(\rightarrow \sf \sqrt{25}\)

\(\rightarrow \sf 5\)

The statement is false. I will provide a disproof.

To disprove the statement, we need to find a counterexample where L₁ is a decidable language and L₂ is a regular language, but their concatenation L₁L₂ is not regular.

Consider L₁ as the decidable language consisting of all strings over the alphabet {a} that have an even number of 'a's. L₁ can be decided by counting the number of 'a's in a string and accepting if the count is even.

Now consider L₂ as the regular language consisting of all strings over the alphabet {a} that have an odd number of 'a's. L₂ can be described by the regular expression "a(aa)*".

The concatenation of L₁ and L₂, L₁L₂, would consist of strings that have an even number of 'a's followed by strings that have an odd number of 'a's. The resulting language L₁L₂ would contain strings with an odd number of 'a's, which is not a regular language.

Therefore, we have shown a counterexample where L₁ is a decidable language and L₂ is a regular language, but L₁L₂ is not regular. This disproves the given statement.

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Answer:

Concept: Basic Multiplication

The linear equation of Johnny's charges is C(x) = 10 + 7.5x

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

Initial charge = $10

Hourly rate = $7.50

Let the number of hours be x and the total cost be C(x)

So, we have the following representation

C(x) = Initial charge + Hourly rate * x

Substitute the known values in the above equation, so, we have the following representation

C(x) = 10 + 7.5x

Hence, the function is C(x) = 10 + 7.5x

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Complete question

Johnny charges $10 plus $7.50 per hour to mow lawns.

Determine the linear equation

Answer:

It will take the plane 11 mph to travel 850 miles

a)

x×3+4=22

b)

x×3+4=22

x×3=22-4

x×3=18

x=18÷3

x=6

Hope it helps

Answer:

x=6

Step-by-step explanation:

your equation would be X * 3 + 4 = 22

to solve you subtract four from both sides then divide three by both sides because you do the opposite of the sign thats there and you get x= 6! i hope this helped

Answer:

72 / 3 = 24

Step-by-step explanation:

Answer:

-3 ,-2 ,-1, 0

Step-by-step explanation:

x is the smallest integer then, x+x+1+x+2+x+2=-6
4x+6= -6   4x=-12 x= -3 so the integers are..

From the given numbers, the greatest number is 23 × 10^126

The first number = 23 × 10^126

The second number = 23 × 10^86

The third number = 23 × 10^66

The fourth number = 23 × 10^3

The scientific notation is defined as the easiest method to represents the very smallest or the largest number. The scientific notation consist of a whole number multiplied by the power of ten

Here, the whole number is same in all cases, only the power of the 10 is different . To find the largest number we have to find the number with largest power of 10

The number with largest power of 10 = 23 × 10^126

Hence, the greatest number is 23 × 10^126

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To show that β=3α, where β represents the volumetric thermal expansion coefficient and α represents the linear thermal expansion coefficient, we can calculate the infinitesimal change in volume (dv) of a cube with sides of length l when the temperature changes by dt.

The linear thermal expansion coefficient α is defined as the fractional change in length per unit change in temperature. Similarly, the volumetric thermal expansion coefficient β is defined as the fractional change in volume per unit change in temperature.

Let's consider a cube with sides of length l. The initial volume of the cube is \(V = l^3\). Now, when the temperature changes by dt, the sides of the cube will also change. Let dl be the infinitesimal change in length due to the temperature change.

The infinitesimal change in volume, dv, can be calculated using the formula for differential calculus:

\(\[dv = \frac{{\partial V}}{{\partial l}} dl = \frac{{dV}}{{dl}} dl\]\)

Since \(V = l^3,\) we can differentiate both sides of the equation with respect to l:

\(\[dV = 3l^2 dl\]\)

Substituting this back into the previous equation, we get:

\(\[dv = 3l^2 dl\]\)

Now, we can express dl in terms of dt using the linear thermal expansion coefficient α:

\(\[dl = \alpha l dt\]\)

Substituting this into the equation for dv, we have:

\(\[dv = 3l^2 \alpha l dt = 3\alpha l^3 dt\]\)

Comparing this with the definition of β (fractional change in volume per unit change in temperature), we find that:

\(\[\beta = \frac{{dv}}{{V dt}} = \frac{{3\alpha l^3 dt}}{{l^3 dt}} = 3\alpha\]\)

Therefore, we have shown that β = 3α, indicating that the volumetric thermal expansion coefficient is three times the linear thermal expansion coefficient for a cube.

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0.615, 0.609, 0.516, 0.506

descending means from highest to lowest :)

So the answer is: the first arc should pass through point B (not A). All other elements in the diagram appear to be correct.

The elements or members of a set are the parts that make it up. To divide the components of a set, commas and two curly (idle) braces are typically employed. Capital letters are always used to print the set's name. The set "A" in this context consists of the letters v, w, x, y, and z.

Based on the given diagram and instructions, it appears that the error in the construction is that the first arc is centered at point C instead of point A. The correct procedure for constructing a line parallel to line AB and passing through point P is as follows:

1.Draw a line AB and mark point P not on line AB.

2.From point P, draw an arc that intersects line AB at points D and E.

3.Draw another arc, centered at point D, with the same radius as the first arc. This arc should intersect the first arc at point F.

4.Draw a line through point P and point F. This line is parallel to line AB and passes through point P.

So the answer is: the first arc should pass through point B (not A). All other elements in the diagram appear to be correct.

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The third arc should be drawn centred at F.

What is an arc?

In geometry, an arc is a curved segment of a circle or any curved line. It is a part of a curve that is bounded by two distinct endpoints and is characterized by its length, its curvature, and its central angle.

Constructing a parallel line to line AB and passing through point P.

To find:

The error occurred in the construction.

The procedure is,

The first arc must be drawn centred at C.

The second must be drawn centred at P.

Finally, the third arc must be drawn centred at F.

But here, the third arc is drawn centred at D. This is wrong.

The correct step is that the third arc must be centred at F.

Hence, The third arc should be drawn centred at F.

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The initial speed of the ball traveling when it leaves the bat is  95.9 mph and the angle at it initially forms with the horizon is  39.49°.

A parallelogram is a four-sided shape having two sets of parallel sides, with the opposite sides being equal in length and the angles opposite each other being equal. A triangle is a three-sided shape with three angles, the sum of which adds up to 180 degrees.

∠x + ∠y + ∠z = 180°

The baseball was hit by the batter with a starting speed of 74 miles per hour horizontally and a lift of 61 miles per hour. The initial speed

v = √(v(h)² + v(c)²)

v = √((74)² + (61)²)

v = 95.9 mph

The angle made will be -

Ф = tan⁻¹(61/74) = 39.49°

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Answer: I believe the answer would be g x $3.25 and f x $0.74

Step-by-step explanation:

If each pound of granola costs $3.25, then you would multiply however many pounds you’re buying, by the price per pound.

For example, if I was buying 6 pounds of granola then I would multiply six by $3.25.

6 x $3.25= $19.50

The lengths of lines KO and LN is; 24cm and 18m respectively.

Since the face of the building is an equilateral triangle and the sections of reinforcement are parallel to side JP;

On this note, since, MK = 18m +6m = 24m.

Similarly, since, ML = 18m

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The Alexander family used their sprinkler for 35 hours, and the Chen family used their sprinkler for 30 hours.

To find out how long each sprinkler was used, we can set up a system of equations. Let's say the Alexander family used their sprinkler for x hours, and the Chen family used their sprinkler for y hours.

From the given information, we know that the water output rate for the Alexander family's sprinkler is 30 liters per hour. Therefore, the total water output from their sprinkler is 30x liters.

Similarly, the water output rate for the Chen family's sprinkler is 40 liters per hour, resulting in a total water output of 40y liters.

Since the combined total water output from both sprinklers is 2250 liters, we can set up the equation 30x + 40y = 2250.

We also know that the families used their sprinklers for a combined total of 65 hours, so we can set up the equation x + y = 65.

Now we can solve this system of equations to find the values of x and y, which represent the number of hours each sprinkler was used.

By solving the equation we get,

The Alexander family used their sprinkler for 35 hours, and the Chen family used their sprinkler for 30 hours.

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If a divides b and a divides c, then a divides (bm + cn).

To prove that if a divides b and a divides c, then a divides (bm + cn), we can use the properties of divisibility.

Given:

a|b, which means b is divisible by a.

a|c, which means c is divisible by a.

We want to show that a|(bm + cn), which means (bm + cn) is divisible by a.

By definition, if a divides b, then there exists an integer k₁ such that b = ka. Similarly, if a divides c, there exists an integer k₂ such that c = ka.

Now, let's substitute these expressions into (bm + cn):

(bm + cn) = (ka)m + (ka)n

= kam + kan

= a(km + kn)

We can see that (bm + cn) can be written as a times the integer (km + kn). Since (km + kn) is an integer, this implies that (bm + cn) is divisible by a.

Therefore, if a divides b and a divides c, then a divides (bm + cn).

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Answer:

2x=80°

x=40°

40°+20°=60°

Step-by-step explanation:

all triangles are 180°

Answer: number 5 is A number 6 is B

Step-by-step explanation:

Answer: 12%

Step-by-step explanation:

12%

Explanation:

If has 176 £1 coins then 176 drivers paid £1 and 20 p coins.

The rest of the driver paid with 20 p coins.

So the number of 20 p coins is:

320 - 176 = 144

Since £1 and 20 p need 6 coins of 20 p, the number of drivers who paid only for 20 p coins is:

144 / 6 = 24

The total number of drivers is:

176 + 24 = 200

The percentage of drivers who paid only with coins id 20 p is:

24 / 200 • 100% =

0.12 • 100% = 12%

The dimension that minimize the surface area is  side is 6.35 feet and height is 3.17 feet.

Volume is a measurement of three-dimensional space that is occupied. It is frequently expressed quantitatively using SI-derived units, as well as several imperial or US-standard units. Volume and the notion of length are connected. The space occupied inside an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity. An object's volume is the amount of space it occupies. Cubic meters are used to measure large quantities (m3). Cubic centimeters (cm3) or cubic millimeters are used to measure smaller quantities (mm3).

Here,

V=x²h

128=x²h

h=128/x²

A=x²+4xh

=x²+4x(128/x²)

=x²+512/x

A'=2x-512/x²

A'=(2x³-512)/x²

A'=0

2x³=512

x³=256

x=6.35 feet

h=128/(6.35)²

=3.174 feet

The side and height measurements that minimize the surface area are 6.35 feet and 3.17 feet, respectively.

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Answer:

(x +13)(x + 2)

Step-by-step explanation:

Sum = 15

Product = 26

Factors = 2 , 13

When we add the factors , we get 15 ( 13 +2 = 15)

When we multiply 2 and 13, we get 26 (13*2 = 26)

x² + 15x + 26 = x² + 13x +2x  + 26

                     =x(x + 13) + 2(x + 13)

                      = (x +13)(x + 2)

So far as to attempt this question we can do either it by factorisation method by creating factors OR by splitting middle term method.

\(\mapsto\sf{ {x}^{2} + 15x + 26}\)

Splitting middle term 15x in terms of 13x and 2x gives their sum to 15x and their product is equal to 26.

\(\mapsto\sf{ {x}^{2} + 13x + 2x + 26 = 0}\)

\(\mapsto\sf{x(x + 13) + 2(x + 13)} = 0\)

\(\mapsto\sf{(x + 2)(x + 13) = 0}\)

CASE 1:

\(\mapsto\sf{x + 2 = 0}\)

CASE 2:

\(\mapsto\sf{x + 13 = 0}\)

Thus,

\(\sf{ \therefore \: ( {x}^{2} + 15x + 26) = (x + 2)(x + 13)}\)

PS: (Factorisation method is been resolved in attachment)