Half a watermelon and a half pound of cherries cost $3.09. A whole watermelon and two pounds of cherries cost $8.16. Find the cost of each type of fruit. (Find the cost of cherries per pound)

The distance between ping's home to aris's home will be 1 street and 12th avenue.

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Summation = addition of two or more numbers or variable

For example = 2 + 8 + 9

Subtraction = Minus of any two or more numbers with each other called subtraction.

For example = 4 - 8

Division = divide any two numbers or variable called division.

For example 4/8

Multiplication = to multiply any two or more numbers or variables called multiplication.

For example 5 × 7.

Given,

Ping house ⇒ 3rd street and 6th avenue

Ari's home ⇒  21st street and 18th avenue

So, the distance between them

21 - 3 = 18 street

18 - 6 = 12 avenue.

Hence "The distance between ping's home to aris's home will be 1 street and 12th avenue".

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The balloon’s vertical distance above the ground is 402.53 ft

Two legs of a right triangle are formed by the horizontal and the vertical. The tangent relation is applicable because the provided angle is the angle next to the horizontal leg:

TOA = Tangent Opposite Adjacent

Tangent = opposite / adjacent

cross multiply

opposite = tan * adjacent

The tangent is 27 degrees

The adjacent is 790 feet away

= tan 27 degrees * 790

= 402.53

This balloon can be said to be 402.53 ft above the ground.

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Answer:

402.5

Step-by-step explanation:

I got the question right

Answer:

120cm³

Step-by-step explanation:

V=w·h·l=5·3·8=120cm³

Answer: i hope it help u

Step-by-step explanation:

Answer:

60 degrees each

Step-by-step explanation:

For the triangle, the sum of the interior angles is equal to the exterior

Let x and y be interior

Let z be the third angle

w be the exterior

w = x+y

120 = x+y

If the exterior angle is twice of each of the interior remote angles, then;

2x = 2y

x = y

120 = x+x

2x = 120

x = 60

Since x = y, y  = 60 degres

From the triangle, the third angle will be 180 - 120

z = 180-120

z = 60

The measures of the 3 angles are 60 degrees each

The first physical coordinate y1 can be expressed as y1 = [1 0 0]Y, & The mass-normalised mode shapes can be  normalising the mode shape vectors f1, f2, and f3.

Part (a)

In Equation Q2, the spectral matrix, undamped natural frequencies, damping ratios, and fundamental frequency need to be calculated.

The mass matrix is given by [85.16400 083.3770 0046.999; 0.079400 00.7030 001.07 × 10; 0.013600 03.1390 005.124 × 10].

The stiffness matrix is given by [0.16400 00.3770 000.999; 0.079400 00.7030 001.07 × 10; 0.013600 03.1390 005.124 × 10].

The damping matrix is given by [0 0 0; 0 0 0; 0 0 0].The undamped natural frequencies, damping ratios, and fundamental frequency for the system in Equation Q2 can be calculated from the spectral matrix.

The characteristic equation can be written as det(K-mω^2M)=0.where K is the stiffness matrix, M is the mass matrix, ω is the angular frequency, and m is the mass-normalised mode shape.

The roots of this equation are the undamped natural frequencies, and the damping ratios can be calculated from the undamped natural frequencies and mode shapes.

The mass-normalised mode shapes can be calculated by normalising the mode shape vectors f1, f2, and f3.

Part (b)

The mass-normalised mode shapes can be calculated using the mode shape vectors f1, f2, and f3.Part (c)The response of the system for the first physical coordinate y1 can be calculated using the mode superposition method. The initial modal displacements and velocities are given in terms of the modal coordinates.

The response is then calculated using the equation y(t)= Σ ai φi(t), where ai are the modal amplitudes, and φi(t) are the modal shapes given by the mode shape vectors f1, f2, and f3.

The first physical coordinate y1 can be expressed as y1 = [1 0 0]Y, where Y is the vector of physical coordinates. The modal amplitudes can be calculated from the initial modal displacements and velocities.

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The probability that exactly one 6 is rolled is 42.9%

Rolling a six-sided dice and an eight-sided die can yield a variety of results. The probability of rolling exactly one 6 out of the two dice is 6/14, or approximately 42.9%.

This is calculated by taking the total number of ways to roll one 6 (6) and dividing it by the total number of combinations possible (14). This means that there is a 42.9% chance of rolling one 6 when two dice are rolled.

The probability will be calculated by:

6/14

= 0.429

0.42× 100

=42.9

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The factors of 20 are 1,2,4,5,10,20

From the list 2,4,5,10

The factors of 21 are 1,3,7,21.

From thwe list

Answer:

224

Step-by-step explanation:

24b + 8 =

b = 9

24b + 8 = 24(9) + 8 = 216 + 8 = 224

In the polar coordinate system, the region R corresponds to 0 ≤ r ≤ (2 - 9sin(θ))/(9cos(θ) + 9sin(θ)) and 0 ≤ θ ≤ π/2.

To evaluate the given iterated integral ∫∫R (1 - y²)/(9(x + y)) dA, where R is the region in the xy-plane bounded by the curves x = 0, y = 1, and 9(x + y) = 2, we can convert it to polar coordinates for easier computation.

In polar coordinates, we have x = rcos(θ) and y = rsin(θ), where r represents the distance from the origin and θ is the angle measured counter clockwise from the positive x-axis.

The integral becomes ∫∫R (1 - r²sin²(θ))/(9(rcos(θ) + rsin(θ))) r dr dθ. In the polar coordinate system, the region R corresponds to 0 ≤ r ≤ (2 - 9sin(θ))/(9cos(θ) + 9sin(θ)) and 0 ≤ θ ≤ π/2.

In the given integral, we substitute x and y with their respective polar coordinate representations. The numerator becomes 1 - r²sin²(θ), and the denominator becomes 9(rcos(θ) + rsin(θ)). Multiplying the numerator and denominator by r, we have (1 - r²sin²(θ))/(9(rcos(θ) + rsin(θ))) = (1 - r²sin²(θ))/(9r(cos(θ) + sin(θ))). We then rewrite the double integral as two separate integrals: the outer integral with respect to θ and the inner integral with respect to r. The limits of integration for θ are 0 to π/2, while the limits for r are determined by the curve 0 = (2 - 9sin(θ))/(9cos(θ) + 9sin(θ)).

We can simplify this curve to 2cos(θ) - 9sin(θ) = 9, which represents an ellipse in the xy-plane. The limits of r correspond to the radial distance within the ellipse for each value of θ. By evaluating the double integral using these limits, we can determine the result of the given iterated integral.

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100% = $37,560

18% = ?

(18 × 37560) ÷ 100

= 676,080 ÷ 100

= $6760.8 commission

Answer:

48 days

Step-by-step explanation:

Let us assume the following things

Work done by 1 man in 1 day is \(\frac{1}{x}\)

Work done by 1 woman in 1 day is \(\frac{1}{y}\)

It is mentioned that

six men + ten women finished in 8 days

So,

\(\frac{6}{x} + \frac{10}{y} = \frac{1}{8}\) .............. (1)

And,

four men + six women finished in 12 days

\(\frac{4}{x} + \frac{6}{y} = \frac{1}{12}\) ...............(2)

Now solve these two equations

And we assume \(\frac{1}{x}\) be u and \(\frac{1}{y}\) be v

So

Now the equation is

\(6u\ + 10v\ = \frac{1}{8} \\\\\4u\ + 6v\ = \frac{1}{12}\)

So,

u = 1 ÷ 48 , v = 0

Therefore x = 48

So the time taken for finish the work is 48 days

Answer:

Step-by-step explanation:

if two lines are parallel and a transversal cuts it,then corresponding angles are equal.

?=130°(corresponding angles)

The surface area of a pyramid is similar to finding the surface area of a cone as both compose of Area of base and LSA or CSA.

To derive the Surface Area of Pyramid

Total Surface Area (TSA of Pyramid)

= LSA of pyramid + Area of the base.

= (½)Pl + B Square units

and, to derive the Surface area of Cone

The total surface area is

= CSA of cone + Area of Base

= πrl + πr²

= πr(l +r)

So, both SA have Area of base and LSA or CSA

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Step-by-step explanation:

P(white)=4/9 is the probability

Answer:

9

Step-by-step explanation:

Class width = 29 - 20 = 9

Answer:

Two statement forms are called logically equivalent if they have identical truth values for each possible substitution for their statement variables.

Step-by-step explanation:

hope this helps <333

brainliest plz :) ?

Answer:

who are you making mad??...

Step-by-step explanation:

Answer:

Step-by-step explanation:

To find the average, one adds up all the scores and then divides by the total number of scores.

Joan had to find the average of the scores of her friends. To find the average, one adds up all the scores and then divides by the total number of scores. In this case, Joan had to find the sum of 10 different scores of her friends and then divide by 10. This will give her the average of the scores of her friends, which is a single value representing the central tendency of the scores. The average is a commonly used statistical measure that provides an overall idea of the data. In this case, the average of the scores of Joan's friends will give her an idea of the overall performance of her friends in the test she is preparing for.

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The factor of the polynomial is (x-1)

f(x)=x4 + 3x3 − 3x2 − x

At x=1 the value of the polynomial is 0

so this is factor of the polynomial (x-1)

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The Solution.

The correct answer is 2 right angles.

Answer:

The corresponding change in bond price = 17.1%

Step-by-step explanation:

In this question, we are interested in calculating the percentage change in the bond price using the approximation method based on bond duration;

Mathematically;

% change in bond price = Duration * Change in yield

From the question;

Duration = 19 years

Change in yield = 0.9%

Thus;

% change in bond price = 19 * 0.9% = 17.1%

Answer:

9m²-n²

Step-by-step explanation:

(3m+n)(3m-n)

This is so easy algebraic expression.

Just rewrite as,

Simplifying,

[Alternate method is there]

Answer:

24 3/4 miles is the distance

1/2 hour - is time

V=S/t

24  / 0.5 = =49.5  miles per hour

Step-by-step explanation:

I hope this helped

24 3/4 miles is the distance

1/2 hour - is time

V=S/t

24  / 0.5 = =49.5  miles per hour

The potential energy of the water in a lake is 57 trillion N × m, which is 57 trillion joules (J).

Gravitational potential energy applies in this situation. G P E = m g h is the formula for gravitational potential energy, where: mg stands for weight or mass times gravity (w). The height to which an object can fall before kinetic energy replaces potential energy is denoted by the symbol h. In the example of the lake, we first determine the amount of water using the equation for the volume of a typical cylinder in order to determine the weight of the cylinder: V cy l = π r²L , The weight density of the water per cubic foot, which is about 62 lb, can then be multiplied by this volume: W(water) = (Volume) (Density)

W (water) = (28,000,000 ft² ⋅ 40ft) ( 62 lb ÷ ft³ )

W (water) = 69,440,000,000 lb

To calculate the potential energy, multiply this weight by the height. GPE=mgh

GPE=Wh=(69,440,000,000lb)(600ft)

GPE=41,644,000,000,000ft⋅lb

matching the level of precision by rounding the response to two significant digits. 4.2X10¹³ft⋅lb , or 42 trillion ft-lb.

Because joules are measured in N × m units, multiply the result by fractional equivalencies. 42trillionft × lb × (4.45N ÷ lb) × (m ÷ 3.28ft)

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This question is incomplete.

The diagram was sourced online.

Answer:

D) 147°

Step-by-step explanation:

The sum of angles in a triangle = 180°

There is a missing angle in the triangle which will be represented as x

Hence,

180° = 114° + 33° + x°

180° = 147° + x°

x° = 180° - 147°

x° = 33°

To find z

We know the angle on a straight line = 180°

z + 33° = 180°

z = 180° - 33°

z = 147°

Answer:

12+15

Step-by-step explanation:

You distribute the 3 to the 4 and 5

Answer:

27

Step-by-step explanation:

3(4+5) = 12+15

add those together you get 27

The running time wοrst case οf deleting a minimum element frοm a (min) binary heap with N elements is O(lοgN). Therefοre, the cοrrect answer is c. O(lοgN).

When deleting the minimum element frοm a binary heap, the heap needs tο be restructured tο maintain its heap prοperty. This restructuring prοcess invοlves mοving elements within the heap and pοtentially swapping elements tο maintain the heap's structure and οrdering.

Since a binary heap is a cοmplete binary tree and has a height οf lοgN, the wοrst-case running time fοr deleting the minimum element is prοpοrtiοnal tο the height οf the heap, which is O(lοgN). This is because the number οf cοmparisοns and swaps required during the restructuring prοcess is dependent οn the height οf the heap.

Therefοre, the cοrrect answer is c. O(lοgN).

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1.2 kg of broccoli costs $7.08.

950 g of celery costs $2.47.

In order to determine the cost of 1.2 kg of broccoli, the first step is to determine the cost of 1kg of broccoli

1 kg = 1000 g

100g = 0.1 kg

Cost of one kg of broccoli = $0.59 / 0.1 = $5.90

The second step is to determine the cost of 1.2kg of broccoli.

$5.9 x 1.2 = $7.08

In order to determine the cost of 950g of celery, the cost of 1g of celery.

$0.26 / 100 = $0.0026

The second step is to determine the cost of 950g of celery.

950 x 0.0026 = $2.47

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The number of penguins at the zoo is 48.

Percentage is a measure of frequency that determines the value of a number as an amount out of hundred. The sign that is used to represent percentage is %. In order to convert a number to percentage, multiply by 100.

Number of penguins = percentage of penguins x number of birds

50% x 96

(50/100) x 96 =

0.5 x 96 = 48

Here is the complete question:

There are 96 birds at the Parkdale Zoo. 50% of the birds are penguins. How many penguins are at Parkdale Zoo?​

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Answer:

Step-by-step explanation:

Draw a vertical line through the upper left hand vertex of this parallelogram.  This line represents both the "opposite side of the 45 degree angle" and the "height of the parallelogram."  It also forms a right isosceles triangle.  Using the sine function we can find the "height of the parallelogram."

sin 45 degrees = height/[18√2].

Multiplying both sides by this, we get

height = 18√2·sin 45 degrees = 18/2 units, or 9 units

Then the area of the parallelogram is (9 units)(20 units) = 180 units²