Each time Bobby rides the JUTC bus, money will be deducted from the value of his card. He rode the bus 5 times and his card was charged $100. What integer best represents the the amount by which the balance of the card changed each time it was used?

Possible Answers

A. -$500
B. $20
C. -$20
D. $500​

Answer:

25 ft

Step-by-step explanation:

8 yd = 24 ft

11 in < 1 ft

8 yd < 25 ft

Answer:

She walks. 8 meters closer and determines the new measure of the angle of elevation to be 52.8°. At each measurement, the survey instrument is 1.7 meters above

Step-by-step explanation:

The height of the flagpole is 13.56 m.

One area of mathematics known as trigonometry examines the relationship between the sides and angles of a right triangle. The relationship between sides and angles is defined for 6 trigonometric functions.

Using Trigonometry

tan 52.8 = (h- 1.7)x

h- 1.7 = x tan 52.8

and, tan 34.9 =  (h- 1.7) / (x + 8)

(x + 8) tan 34.9 = h - 1.7

So, x tan 52.8 = (x + 8) tan 34.9

tan 52.8 / tan 34.9 = (x + 8)/ x

1.88852217 = 1 + x/8

x = 9.00371408

Then, tan 52.8 = (h - 1.7)/ 9

h = 13.56 m

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Answer:

9

Step-by-step explanation:

9-1=8 hence c=9

Answer:

c = 9

Step-by-step explanation:

9 - 8 = 1

Hope this helps!!

The measures of the angles are ∠1 = 127°, ∠2 = 53°, ∠3 = 127°, ∠4 = 37°, ∠5 = 53°, ∠6 = 90°, ∠7 = 37°, ∠8 = 143°, ∠9 = 37° and ∠10 = 143°

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

The transversal lines and the other lines

So, we have

∠1 = 180 - 53

Evaluate

∠1 = 127°

Also, we have

∠5 = 53°

By vertical angles, we have

∠2 = 53°

∠3 = 127°

Next, we have

∠4 = 127 - 90°

∠4 = 37°

Solving further, we have

∠6 = 90°

By corresponding angles, we have

∠7 = 37°

∠9 = 180 - 90 - 53°

∠9 = 37°

∠10 = 90 + 53°

∠10 = 143°

∠8 = 143°

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The measure of angle ZCBD is 90°. Therefore, the correct option is J. 90.

To find the measure of angle ZCBD, we need to examine the given information.

From the figure, we know that angle CDE is 155°.

Since the opposite angles of a rectangle are congruent, angle BCD is also 155°.

In a rectangle, the sum of the interior angles at a vertex is always 90°.

Therefore, angle CBD is 90°.

Hence, the measure of angle ZCBD is 90°.

Therefore, the correct option is J. 90.

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Answer:

If u double both numerator & denominator, this ration is 46/100

This answer is 46%

Answer:

15/35

Step-by-step explanation:

I think it's right sorry if I'm wrong

Answer:

7/3

Step-by-step explanation:

Answer:

HEY IMAGE IS BLUR

Step-by-step explanation:

The required equation of the parabola in the vertex form is \(x = - \frac{1}{6} (y+5)^2+\frac{9}{2}\)

A plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line is called a parabola.

Given that, a parabola has the directrix x=6 and the focus (3,-5), we need to find the equation of the parabola,

The standard form of a left-right parabola is given as:

4p(x-h) = (y-k)²

Focus = (p+h, k)

Therefore,

h+p = 3....(i)

Directrix =

x = h-p

h-p = 6...(ii)

Solving the equations we get,

h = 9/2

p = -3/2

Substitute into the standard form:

4p(x-h) = (y-k)²

4(-3/2)(x-9/2) = (y+5)²

-6(x-9/2) = (y+5)²

\(x = - \frac{1}{6} (y+5)^2+\frac{9}{2}\)

Hence, the required equation of the parabola in the vertex form is \(x = - \frac{1}{6} (y+5)^2+\frac{9}{2}\)

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The question is incomplete so, i solved for the attached question

Step-by-step explanation:

10x² - 5x + 10

x = -3

10(-3)² -5(-3) + 10

= (10×9) + 15 + 10

= 90 + 15 + 10

= 115

The production function is used to examine the relationship between inputs and outputs.

The production function is a fundamental concept in economics that represents the relationship between inputs and outputs in the production process. It helps us understand how much output can be produced with a given set of inputs.

In the production process, inputs such as labor, capital, raw materials, and technology are combined to produce goods or services. The production function captures the quantitative relationship between these inputs and the resulting output. It provides a framework to analyze how changes in input levels affect the output level.

The production function typically takes the form of a mathematical equation or a graphical representation. It shows how the quantity of output depends on the quantities of various inputs used in the production process.

By studying the production function, economists can analyze factors such as efficiency, productivity, and technological progress. It helps firms make decisions regarding the optimal combination of inputs to maximize output or minimize costs. Additionally, it allows policymakers to assess the impact of policies on production and economic growth.

Therefore, the production function primarily focuses on examining the relationship between inputs and outputs, rather than supply and demand, producers and consumers, or price and cost.

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We have the next expression

if t=60

Then we evaluate the expression with the value of t given

the result is 347

For T to be a normal operator on a finite-dimensional complex inner product space V,

(a) If Tⁿ is the zero map, then T is the zero map.

(b) U commutes with T if and only if U commutes with each eigenprojection of T.

(c) There exists a normal U such that U² = T.

(d) T is invertible if and only if lambda_j is nonzero for all eigenvalues λ_j of T.

(e) T is a projection if and only if lambda_j is either 0 or 1 for all eigenvalues λ_j of T.

(f) T = -T* if and only if each eigenvalue of T is imaginary.

(a) If Tⁿ = 0 for some n ∈ ℕ, then the characteristic polynomial of T is p_T(x) = xⁿ. But by the spectral decomposition, the characteristic polynomial of T is given by p_T(x) = (x - λ₁)(d₁) × ... × (x - λ_k)(d_k), where λ₁, ..., λ_k are the distinct eigenvalues of T and d₁, ..., d_k are the dimensions of the corresponding eigenspaces. Since T is normal, the eigenspaces are orthogonal and hence the dimensions add up to the dimension of V. Thus we must have n = dim(V), which implies that T is the zero map.

(b) Let U be a linear operator on V that commutes with T. By the spectral decomposition, we can write T = λ₁P₁ + ... + λ_kP_k, where P₁, ..., P_k are orthogonal projections onto the eigenspaces of T. Since U commutes with T, we have U(P_i(v)) = P_i(U(v)) for any eigenvector v of T. It follows that U commutes with each P_i. Conversely, suppose U commutes with each P_i. Then we have U(T(v)) = U(λ_i P_i(v)) = λ_i U(P_i(v)) = λ_i P_i(U(v)) = T(U(v)) for any eigenvector v of T. Since the eigenvectors span V, this implies that U commutes with T.

(c) Let T = λ₁P₁ + ... + λ_kP_k be the spectral decomposition of T. Define U = λ₁(1/2)P₁ + ... + λ_k(1/2)P_k. Since T is normal, the eigenspaces are orthogonal and hence the projections P₁, ..., P_k are also orthogonal. It follows that U is also an orthogonal operator, and hence a normal operator. Moreover, we have U² = λ₁P₁ + ... + λ_kP_k = T.

(d) By the spectral theorem for normal operators, we can write T = λ₁P₁ + ... + λ_kP_k, where λ₁, ..., λ_k are the distinct eigenvalues of T and P₁, ..., P_k are orthogonal projections onto the corresponding eigenspaces. Moreover, we have T⁻¹ = λ₁⁻¹P₁ + ... + λ_k⁻¹P_k if all the eigenvalues are nonzero. Indeed, if all the eigenvalues are nonzero, then T is invertible and hence bijective. It follows that each eigenspace has a dimension at most 1, and hence T has a unique decomposition into a sum of orthogonal projections onto its eigenspaces. It is then easy to check that T⁻¹ has the desired decomposition. Conversely, suppose that T⁻¹ has the desired decomposition. Then we have T(T⁻¹(v)) = v for any v ∈ V. It follows that each eigenspace has dimension at most 1, and hence T is bijective, and hence invertible.

(e) By the spectral theorem for normal operators, we can write T = λ₁P₁ + ... + λ_kP_k, where λ₁, ..., λ_k are the distinct eigenvalues of T and P₁, ..., P_k are orthogonal projections onto the corresponding eigenspaces. It follows that T is a projection if and only if T² = T, which is equivalent to the condition that λ_i ∈ {0, 1} for all i.

(f) By the spectral theorem for normal operators, we can write T = λ_1 P_1 + ... + λ_k P_k, where λ_1, ..., lambda_k are the distinct eigenvalues of T and P_1, ..., P_k are the orthogonal projections onto the corresponding eigenspaces. Note that T is self-adjoint if and only if T = T*, or equivalently, λ_j is real for all j. On the other hand, T = -T* if and only if λ_j = -λ_j × for all j, or equivalently, lambda_j is imaginary for all j. Thus, T = -T* if and only if each λ_j is imaginary, as desired.

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Answer:

\(b = 52.000000\)

Step-by-step explanation:

1) Simplify 2.6/1.5 to 1.733333.

\( \frac{b}{30} = 1.733333\)

2) Multiply both sides by 30.

\(b = 1.733333 \times 30\)

3) Simplify 1.33333 × 30 to 52.000000.

\(b = 52.000000\)

Therefor, the answer is b = 52.000000.

The distance from the top of the cliff to the ship at C 373.4 m.

The angle of depression from the top of the cliff to the ship at C is 20.4 degrees

The distance BC = 200.2m

the distance is given as

\(\sqrt{130^{2} +350^{2} }\)

= 373.4 m

The distance of the top of the cliff to the ship at c is 373.4 m

angle of depression is tan ∅ = 130 / 350

∅ = tan⁻¹  130 / 350

= 20.4 degrees

b. The distance BC

tan 33 = 130 / AB

AB = 130 / tan 33

= 200.2 m

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Answer:

Step-by-step explanation:

It is not a function

The 4 in the domain is used more than once

Note that the angles of the triangle whose vertexes are the centers of the circles are  50.48°, 58.99°, 70.53°.

Three circles with radii 4, 5, and 6 from a triangle whose sides are the sum of their radii in pairs.

Thus, the sides of the triangle are

4 + 5, 4 + 6, and 5+6.

⇒ 9,, 10, 11.

To find the interior angles

CosC = a² + b² + c²/ 2ab

Cost C = (9² + 10² -11²) / (2 x9x10)

= 81 + 100 -121/180

= 60/180

= 1/3

C = 70.53°

Similar

Cos A =  (10² + 11² - 9²) / (2 x10x11)

= 100 + 12181 + /180

= 140/220

= 7/11

A = 50.48°

Cos B = 9² + 11² - 10²/ 2x 9 x 11

= 102/198

B = 58.99°

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Full Question:

Although part of your question is missing, you might be referring to this full question:

See attached image.

Answer:

choice 1) 312 cm²

Step-by-step explanation:

area = (16 x 12) + (10 x 12) = 312 cm²

Answer:

312

Step-by-step explanation:

triangle：

10x12/2=60

two triangle：

60x2=120

rectangle：

16x12=192

add up：

120+192=312

Answer:

Part A:  A = πr^2

Part B:  153.86

Step-by-step explanation:

r = 7

A = (3.14)(7^2)

A = (3.14)(49)

A = 153.86

The property that makes the process work is integration by parts .

Given,

When solving a linear differential equation by using an integrating factor, what property from calculus makes the process work .

Here,

When applying the concept of integrating factor in calculating the solution of linear differential equation the property used is integration by parts .

IF = \(e^{\int\ {p} \, dx }\)

Thus option B will be correct choice for the question.

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Correct question:

Q

When solving a linear differential equation by using an integrating factor, what property from calculus makes the process work

options:

1) chain rule for derivatives

2) integration by parts

3)product rule for derivatives

4) quotient rule for derivatives

Answer:

140$

Step-by-step explanation:

You can use the three rule step.

20%         ?

-------=------------

100%.    700$

Then u go 20 x 700 divided by 100 which gives you the 20% in $

The volume of the candle is approximately 94 cubic inches.

A circular cylinder is a three-dimensional solid object made up of two parallel and congruent circular bases and a curving surface connecting the bases.

The volume of a right circular cylinder is given by the formula:

V = πr²h

Where

Substituting the given values into the formula, we get:

V = 3.14 x 2² x 7.5

V = 3.14 x 4 x 7.5

V = 94.2

Rounding to the nearest cubic inch, we get:

V ≈ 94 cubic inches

Therefore, the volume of the candle is approximately 94 cubic inches.

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Answer:

13.93

Step-by-step explanation:

Meal = 54.65

Sales tax = 8%

= 8/100 * 54.65 + 54.65

= 0.08 * 54.65 + 54.65

= 4.372 + 54.65

= 59.022

Tip = 18% of the meal and tax

= 18/100 * 59.022 + 59.022

= 0.18 * 59.022 + 59.022

= 10.62396 + 59.022

= 69.64596

Total people in the holcomebe family = 5

Cost of meal per person =

69.64596 / 5

= 13.929192

Approximately 13.93

The length of midsegment of the trapizoid with bases 35 and 71 is 53.

A trapezoid, commonly referred to as a trapezium, is a quadrilateral or a polygon with four sides. It has a set of parallel opposing sides and a set of non-parallel sides. The bases and legs of the trapezoid are known as the parallel and non-parallel sides, respectively.

A trapezoid is a closed, four-sided, two-dimensional shape that has both a perimeter and an area. The bases of the trapezoid are the two sides of the form that are parallel to one another. The legs or lateral sides of a trapezoid are the non-parallel sides. The altitude is the smallest distance between two parallel sides. Calculating a trapezoid's area is easy since its opposite sides are parallel to one another.

A trapezoid differs from other quadrilaterals in that it has the following characteristics:

The length of midsegment is sum of bases divided by 2

therefore midsegment = (35 + 71)/2 = 53.

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Step-by-step explanation:

Slope of the given line is 3, so slope of the perpendicular line is also 3.

using pt slope form,

y+3=3(x-6)

y+3=3x-18

y=3x-21

Answer:

DONT GO TO THE LINK

Step-by-step explanation:

Given the numbers:

We will arrange the numbers from the least to the greatest

there are two methods:

First, square all the numbers then arrange them then get the original numbers

so, the square of the numbers will be:

the order from the least to the greatest will be:

So, the order of the given numbers will be:

the second method is by using the calculator to find the square roots of the radicals, it will give the same answer

The first digit can be 1 or 2.

For each one ...

The second digit can be 1 or 2.

For each one ...

The third digit can be 1 or 2.

That's (2•2•2)= 8 different possibilities.

Answer:

150 degrees

Step-by-step explanation:

I think V and T add up to 180 degrees (and all angles in a whole quadrilateral add up to 360) so if you add them and make it equal 180 you can solve x.

So x + 3x + 60 = 180

4x = 120

x = 30 degrees

So V is 3(30) + 60 = 150 degrees