Harry buys 3 granola bars for $5. Sidney buys 9 granola bars for $15 what is the constant of proportionality

Answer:

A is l=, 84

B is w=82

Step-by-step explanation:

The formula for perimeter of a rectangle is 2l +2w

By substitution l will be 84

The formula for area is l*w

By substitution solve for width(w)

∑ Hey,  shanellmccullough ⊃

Answer:

(a) Length of the parking lot : 84 m

(b) Width of the pool: 82 m

Step-by-step explanation:

(a) The perimeter of a rectangular parking lot is 290 m. If the width of the parking lot is 61 m, what is its length?

(b) The area of a rectangular pool is 7790 m². If the length of the pool is 7790 m². If the length of the pool is 95 m, what is its width?

Solve:

(a) The perimeter of a rectangular parking lot is 290 m. If the width of the parking lot is 61 m, what is its length?

Formula for perimeter: P = (L + W) × 2

Which;

P = Perimeter

L = Length

W = Width

Which also could be written as:

L + L + W + W = P

Hence, since it given that;

290 = P and W = 61

Then

We know that ;

61w + 61 w + L + L = 290

So we can add 61 + 61 or 61 × 2

which is 122.

Now we know that;

122 + 2L = 290

Solving for 2L:

122 + 2L = 290

122-122 + 2L = 290-122

2L = 168

L = 84

Hence, the length is 84.

Check Answer:

61 × 2 + 84 × 2 = 290

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(b) The area of a rectangular pool is 7790 m². If the length of the pool is 7790 m². If the length of the pool is 95 m, what is its width?

Formula for area: A = Lw

Which;

A = Area

L = Length

W = Width

So, since we know the length we can just do 7790/95 to find Width

7790/95 = 82

Hence, the width of the pool is 82 m.

Check Answer:

A = Lw

A = 82 × 95

A = 7790m²

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xcookiex12

8/18/2022

1) x = 73 degrees

If arc AC is 128 degrees, then angle B is going to be half of that. Inscribed angles are 1/2 of the measure of their corresponding arc. Therefore, angle B is 64 degrees.

The sum of the interior angles of a triangle is 180 degrees. We know 2 of the interior angles and can very easily solve for the third.

43 + 64 + x = 180

107 + x = 180

x = 73

2) x = 7

Since these chords intersect, the product of the segments of each chord will be the same.

KH * HI = JH * HG

10 * x = 14 * 5

10x = 70

x = 7

Hope this helps!

An equation for this statement "The sum of seven times a number and 16 is 163," is 7n + 16 = 163.

The solution is 21.

In order to solve this word problem, we would assign a variable to the unknown number, and then translate the word problem into an algebraic equation as follows:

Let the variable n represent the unknown number.

Based on the statement "The sum of seven times a number and 16 is 163," we can logically deduce the following algebraic equation;

7n + 16 = 163

7n = 163 - 16

7n = 147

n = 147/7

n = 21.

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Answer:

a) x=-2 then y=10

   x=-1 then y=5

   x=1 then y=1

   x=3 then y= 5

b)x=-0.8;x=2.8

Step-by-step explanation:

a) We have the formula \(y=x^{2} -2x+2\)

Instead of x, we will plug in the given value to find y.

If x=-2:

\(y=(-2)^{2} -2*(-2) +2\\y=4+4+2\\y=10\)

If x=-1:

\(y=(-1)^{2} -2*(-1)+2\\y=1+2+2\\y=5\)

If x=1:

\(y=1^{2} -2*1+2\\y=1-2+2\\y=1\)

If x=3:

\(y=3^{2} -2*3+2\\y=9-6+2\\y=5\)

b) We know when x=0 then y=2

We need to move two boxes up to get to y=4

We can estimate that x = -0.75;x=2.75

We are supposed to round it to the 1. decimal place.

x=-0.8;x=2.8

Answer:

a) x=-2 then y=10

  x=-1 then y=5

  x=1 then y=1

  x3 then y= 5

b)x=-0.8;x=2.8

Step-by-step explanation:

your formula

Answer:

3

Step-by-step explanation:

Factors of 84 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42 and 84.

Answer:

D is the answer

hope this helps

have a good day :)

Step-by-step explanation:

To determine the distance between the Party supply store and the art gallery, you have to determine the position of each store and subtract them.

The stores are in the same horizontal line (y=2), the supply store is at x₁=1 and the art gallery is at x₂=7, the distance (d₁) between both stores can be calculated as:

The distance between the party supply store and the art gallery is 6 blocks.

Next you have to determine the distance between the art gallery and the dry cleaners. Both stores are on the same vertical line (x=7), to calculate the distance you have to determine the difference between their positions over the y-axis.

The art gallery is at y₁=2 and the dry cleaners is at y₂=7. The distance between both stores (d₂) can be calculated as:

The dry cleaner is 5 blocks away from the art gallery.

Now add both distances to determine how far would you walk

The distance walked is 11 blocks

The slope of the line is the ratio of the rise to the run, or rise divided by the run. Yes i can agree with both of their statements.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

As we know that the slope of a line will be always same on a given line. If slope triangle A has slope 6/4. Then triangle B will be also have the same slope.

As both triangles are connected to the same line. These two triangles A and B  will have same slopes.

Mai uses Triangle A and says the slope of this line is 6/4.

If we convert fraction 6/4 to decimal we get 1.5 value.

So i agree with both of their statements.

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Using the given equation, Jacobian matrix, and the input matrix B, we can estimate f(B) to be approximately equal to [4.001 4.997].

Estimation of f: Using the provided data, we can estimate the function f for a specific input matrix, let's call it A. From the given equation, we know that f(A) equals the matrix [4 5]. Additionally, we are given the Jacobian matrix Jf(A), which evaluates to [1 2; 0 3; -1 1]. To estimate the value of f at a specific input matrix, let's call it B, which is approximately equal to A = [1.001 1.998 3.003], we need to calculate the linear approximation using the equation: f(B) ≈ f(A) + Jf(A) * (B - A).

To perform this estimation, we subtract matrix A from B, which results in a matrix C = [0.001 -0.001 0.003]. Next, we multiply the Jacobian matrix Jf(A) with matrix C, resulting in [1 2; 0 3; -1 1] * [0.001 -0.001 0.003] = [0.001 -0.003]. Finally, we add this result to f(A), which yields [4 5] + [0.001 -0.003] ≈ [4.001 4.997]. Therefore, the estimated value of f for the input matrix B ≈ [4.001 4.997].

In summary, using the given equation, Jacobian matrix, and the input matrix B, we can estimate f(B) to be approximately equal to [4.001 4.997]. This estimation is based on linear approximation, which involves calculating the difference between the input matrices and applying the Jacobian matrix.

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A number which is 15 more than twice a number is 37 is 11.

Let the number be N.

Let's set up the equation.

A number is 15 more than twice a number is 37,

2N + 15 = 37

Let's subtract 15 from both sides.

2N = 22

Divide both sides by 2, and you get

N = 11

So the number which is 15 more than twice a number is 37 is 11.

A number system is a means of representing numbers. It is a method of representing numbers in a set of numbers consistently by using digits or other symbols. Each number receives a unique representation as well as information about the arithmetic and algebraic structure of the numbers. Addition, subtraction, multiplication, and division are just a few of the mathematical operations we may carry out using it.

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Answer:

B) XMA; C) MAX; and D) AXM

Step-by-step explanation:

A triangle is named based on its vertices.  The vertices of this angle are A, M and X; this means any combination of these three letters can be used to name the triangle.

The rectangle with the formula x(x+1)=60 using the quadratic formula has  length = 8.26 and width = 7.26.

Given that,

A rectangle has the formula,

x (x + 1) = 60

x² + x = 60

x² + x - 60 = 0

Using the quadratic formula,

x = -1 ± √1 -(4 × 1 × -60) / 2

  = (-1 ± √241) / 2

x = 7.26

Width = 7.26

Length = x + 1 = 8.26

Hence the required length and width are 8.26 and 7.26.

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The probability of default, given a 2% risk premium and a 5% riskless return, is approximately 2.8%.



To calculate the probability of default, we need to compare the risk premium demanded by bondholders with the return on the riskless bond. The risk premium represents the additional return investors require for taking on the risk associated with a bond.In this case, the risk premium demanded by bondholders is 2% and the return on the riskless bond is 5%. To calculate the probability of default, we use the formula:

Probability of Default = Risk Premium / (Risk Premium + Riskless Return)

Substituting the given values into the formula, we have:

Probability of Default = 2% / (2% + 5%) = 2% / 7% ≈ 0.2857

Rounding this value to the nearest decimal point, we get approximately 0.3 or 2.8%. Therefore, the correct answer is option (e) 2.8%.This means that there is a 2.8% chance of default based on the risk premium demanded by bondholders and the return on the riskless bond. It indicates the perceived level of risk associated with the bond from the perspective of the bondholders.



Therefore, The probability of default, given a 2% risk premium and a 5% riskless return, is approximately 2.8%.

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Answer:

Step-by-step explanation:

Any time you have compounding more than once a year (which is annually), unless we are talking about compounding continuously, you will use the formula

\(A(t)=P(1+\frac{r}{n})^{(n)(t)}\)

Here's what we have:

The amount after a certain time that she has in the bank is 4672.12; that's A(t).

The interest rate in decimal form is .18; that's r.

The number of times the interest compounds is 12; that's n

and the time that the money is invested is 3.5 years; that's t.

Filling all that into the formula:

\(4672.12=P(1+\frac{.18}{12})^{(12)(3.5)}\) Simplifying it down a bit:

\(4672.12=P(1.015)^{42}\) Raise 1.015 to the 42nd power to get

4672.12 = P(1.868847115) and divide to get P alone:

P = 2500.00

She invested $2500.00 initially.

\(\textit{exponential form of a logarithm} \\\\ \log_a(b)=y \qquad \implies \qquad a^y= b \\\\[-0.35em] ~\dotfill\\\\ \log_2(x)=-5\implies 2^{-5}=x\)

Answer:

y=mx+b

Step-by-step explanation:

Answer:

(2,6)

(3,2)

(8,2)

(7,6)

Step-by-step explanation:

Answer:

dam thats wat yall learn in whatever grade u r ik highter for sure but dam im  scared now

Step-by-step explanation:

Answer:

m<M is 98°............

Answer:

It's C

Step-by-step explanation:

Simplify the expression

Answer:

27/4 or 6 3/4

6.75 in decimal form

Step-by-step explanation:

The value of w is 38400 when the value of c is 6 as per the concept of a proportional relationship.

Given:

We have to find the value of w at c = 6.

If c = 6, then the value of a becomes a = 48 times (6 divided by 3)

Therefore, the value of a can be evaluated as,

a = 48 x 6/3

a = 48 x 3

a = 144

To find the value of w, rearrange the value of 'a' in the multiple of 9.

For that, divide 144 by 9.

144/9 = 16.

Now, multiply 16 by 2400.

The final value of w = 2400 x 16

w = 38400

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After 31.6 minutes have passed, approximately 40.3 mg of lead-214 remains in the sample. This can be determined using the decay equation lnA = lnA₀ - kt, where A represents the amount of the substance remaining after time t, A₀ is the original amount of the substance, k is a constant characteristic of the substance, and t is the elapsed time.

The given equation, lnA = lnA₀ - kt, represents the decay of the radioactive isotope lead-214. In this equation, A represents the amount of the substance remaining after time t, A₀ is the original amount of the substance, k is a constant characteristic of the substance, and t is the elapsed time.

To find the amount of lead-214 remaining after 31.6 minutes, we can plug in the given values into the equation. We are given that A₀, the original amount of lead-214 in the sample, is 51.3 mg. The value of k for lead-214 is 2.59×\(10^(^-^2^)\)\(minutes^(^-^1^)\), as mentioned in the question. Finally, t is 31.6 minutes.

Substituting these values into the equation, we have:

lnA = ln(51.3) - (2.59×\(10^(^-^2^)\) × 31.6)

Evaluating the right side of the equation, we get:

lnA ≈ 3.937 - (2.59×\(10^(^-^2^)\) × 31.6)

    ≈ 3.937 - 0.8164

    ≈ 3.1206

To find A, we need to exponentiate both sides of the equation using the natural logarithm base, e:

\(e^(^l^n^A^)\) = \(e^(^3^.^1^2^0^6^)\)

A ≈ 22.63 mg

Therefore, after 31.6 minutes have passed, approximately 22.63 mg of lead-214 remains in the sample.

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The inner product of f(x)=-2cos(2x) and g(x)=-sin(2x) is 0.

To find the inner product of f(x) and g(x), we use the formula:

⟨f,g⟩= ∫[a,b] f(x)g(x)dx

where [a,b] is the interval of integration.

Substituting the given functions, we get:

⟨f,g⟩= ∫[0,π] -2cos(2x)(-sin(2x))dx

= 2 ∫[0,π] sin(2x)cos(2x)dx

Using the identity sin(2θ)cos(2θ) = sin(4θ)/2, we get:

⟨f,g⟩= ∫[0,π] sin(4x)/2 dx

= [-cos(4x)/8]π0

= (-1/8)[cos(4π)-cos(0)]

= (-1/8)[1-1]

= 0

Therefore, the inner product of f(x) and g(x) is 0.

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Step-by-step explanation:

x/5 = 7/13      multiply both sides of the equation by to get

x = 5 * 7/13  =  35/ 13     then use calculator = ~  2.7

Answer:

7/13 = x/5 can be solved by cross-multiplication of the terms.

13*x = 5 *7

13x = 35

x = 35/13 = 2.69 = 2.7

Answer:

length = 16/width

Step-by-step explanation:

Area = length × width

length= area/width

length = 16/width

To find the length of a rectangle with an area of 16 cm², we need to know the width of the rectangle. If we assume that the width is a whole number, we can use trial and error to find possible pairs of length and width that have an area of 16 cm².

The factors of 16 are: 1, 2, 4, 8, and 16.

So the possible pairs of length and width are:

Length = 1 cm, Width = 16 cm

Length = 2 cm, Width = 8 cm

Length = 4 cm, Width = 4 cm

Length = 8 cm, Width = 2 cm

Length = 16 cm, Width = 1 cm

Out of these options, we can see that the pair of Length = 4 cm and Width = 4 cm gives an area of 16 cm². Therefore, the length of the rectangle is 4 cm.

The equation of the quadratic graph plotted is given by

C y = -0.32(x - 50)² + 800

Quadratic equation has the standard vertex form of the equation written as

y = a(x - h)² + k

The vertex is the point of the maximum altitude given as

v (h, k) = (50, 800)

h = 50 feet for x direction

k =  800 feet for y  direction

substitution of the values into the equation gives

y = a(x - 50)² + 800

the graph passed through the origin (0, 0) we solve for "a" by

y = a(x - 50)² + 800

0 = a(0 - 50)² + 800

-800 = a(- 50)²

a = -800 / (50)²

a = -0.32

substituting the value of a into the equation

y = -0.32(x - 50)² + 800

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The volume of the volleyball is about 120 times greater than that of the golf ball rounding to the nearest number we get the exact value of 129 times greater. Thus, option B is correct.

Diameter of Volleyball = 8.5 in

Diameter of Golfball = 1.68 in

The volume of a sphere is calculated by using the formula,

V = (4/3) * π * \(r^{3}\)

Volume of volleyball = (4/3) * π * \((4.25)^3\)

The volume of the volleyball =  635.5 cubic inches

Volume of golf ball = (4/3) * π * \((0.84)^3\)

The volume of the golf ball = 0.61 cubic inches

The ratio of the volume of the volleyball to that of the golf ball is:

volleyball / golf ball = 635.5 / 0.61 =  120

Therefore, we can conclude that the volume of the volleyball is about 120 times greater than that of the golf ball.

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The complete question is:

There is a volleyball with a diameter of 8. 5 in. And a golf ball with a diameter of 1. 68 in. Find how many times greater the volume of the volleyball is than that of the golf ball.

a. It is about 85. 2 times greater.

b. It is about 129 times greater.

c. It is about 25. 6 times greater.

d. It is about 13. 1 times greater.

Answer:

Options (1), (3) and (5)

Step-by-step explanation:

By the property of midsegment,

Segment joining midpoints of two sides of a triangle measures the half of the third side of the triangle and midsegment is parallel to the third side.

Since, points U, V and W are the midpoints of the sides JK, KL and LJ,

UW = \(\frac{1}{2}(KL)\)

UV = \(\frac{1}{2}(JL)\)

VW = \(\frac{1}{2}(JK)\)

UV ║ JL

UW ║ KL

VW ║JK

Therefore, options (1), (3) and (5) are true.