Candy Corn received scores of 93, 87, and 85 on her first three exams of the grading period. Candy must earn at least what score on the next exam for the test average to be at least a 90 for the grading period.

Answer:

14% or 105 students

Step-by-step explanation:

7/50 is equal to 105/750

Answer: 105

Step-by-step explanation: Take 105/750 (which is the answer) and divide that by 1 and you will get 7/50.  

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:

8.

Jules' Rules:  3/1

Pink Socks: 4/1

Go Girls: 4/1

High-5s: 9/1

9.  High-5s ( best record ) for every 9 games that they played, the team only lost 1 game                            

Step-by-step explanation:

Answer:

Step-by-step explanation:

Sum of angles inside triangle is 180

b + (a -3) + 90 =180

b + a - 3 + 90 = 180

b + a +  87 = 180

b + a +  87 -87 = 180-87

b + a  = 180-87

b + a  = 93

b = 93 -a

Answer:

16 for Sol A and 24 for Sol B

Step-by-step explanation:

Let x = the number of ounces of Solution A

Let y = the number of ounces of Solution B

x + y = 40        y = 40 - x

.60x + .85y = .75(40)

.60x + .85y = 30      Multiply both sides of the equation by 100 to remove the decimal points.

60x + 85y = 3000

60x + 85(40 - x) = 3000

60x + 3400 - 85x = 3000

-25x = -400

x = 16 ounces

y = 40 - 16

y = 24 ounces          

Answer:

h = 14.49 feet.

Step-by-step explanation:

From the attached figure,

Base = 14 ft

Height = h

Angle = 46°

We need to find the height of the main sail. To find it we can use trigonometry.

The relation between height, base and angle is given by :

\(\tan\theta=\dfrac{\text{Height}}{\text{Base}}\\\\\tan(46)=\dfrac{h}{14}\\\\h=\tan(46)\times 14\\\\h=14.49\ ft\)

So, the height of the main sail is 14.49 feet.

(a) Consider a regular graph, such as a regular 4-regular graph or a 4-cube. (b) It is not possible to have a graph with the given conditions.(c) It is not possible to have a graph with the given conditions. (d) Such a graph is possible.

(a) To have a graph with 16 vertices where every vertex has degree 4, we would need a total degree of 4 * 16 = 64. However, the total degree must be even since each edge contributes 2 to the total degree. But 64 is an even number, which means such a graph is possible. One way to construct such a graph is to consider a regular graph, such as a regular 4-regular graph or a 4-cube.

(b) In a graph with 15 vertices, if 8 vertices have degree 6, then the total degree would be 8 * 6 = 48. Similarly, if 7 vertices have degree 5, the total degree would be 7 * 5 = 35. However, the total degree must be even, and 48 and 35 are both odd numbers. Therefore, it is not possible to have a graph with the given conditions.

(c) If we have a graph on 14 vertices where every vertex has degree 3 and the shortest cycle has length 6, it implies that there are cycles of length 6 but no cycles of length less than 6. This contradicts the fact that if there is a cycle of length 6, there will also be cycles of length less than 6 (such as 3, 4, and 5). Therefore, it is not possible to have a graph with the given conditions.

(d) To have a graph on 11 vertices where every vertex has a degree of at least 6 and there are no cycles of length 3, we can consider a complete bipartite graph K(6, 5). This graph has 6 vertices of degree 6 and 5 vertices of degree 5. It satisfies the given conditions because every vertex has a degree of at least 6, and there are no cycles of length 3 since it is bipartite. Thus, such a graph is possible.

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Answer:

i think its 242 if im not wrong.

Step-by-step explanation:

Answer:

972n

Step-by-step explanation:

9x9x9 (9 cubed)

792 x 4 divided 3

972

Answer:

A function is proportional when the output is equal to the input multiplied by a constant. The number of tires is equal to the number of cars times 4. If there are no cars in the parking lot, then the number of tires is 4 times 0, or 0.

Step-by-step explanation:

The expected value in a binomial situation with n = 18 and π = 0.60 is E(X) = np = 18 * 0.60 = 10.8.

In a binomial situation, the expected value, denoted as E(X), represents the average or mean outcome of a random variable X. It is calculated by multiplying the number of trials, denoted as n, by the probability of success for each trial, denoted as π.

In this case, we are given n = 18 and π = 0.60. To find the expected value, we multiply the number of trials, 18, by the probability of success, 0.60.

n = 18 (number of trials)

π = 0.60 (probability of success for each trial)

To find the expected value:

E(X) = np

Substitute the given values:

E(X) = 18 * 0.60

Calculate the expected value:

E(X) = 10.8

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The value of the line integral is (-16/3)cos(6) + (16/9)sin(6). Evaluating this integral, you will get the value of the line integral for the given curve.

To evaluate the line integral ∫c x sin yds, where C is the line segment from (0,3) to (4,6), we first need to parameterize the curve. We can do this by letting x = t and y = 3 + (3/4)t, where t goes from 0 to 4. This gives us the parametric equations x = t and y = (3/4)t + 3.

Next, we need to find ds, the length of the curve element. We can use the formula ds = sqrt(dx^2 + dy^2) to get ds = sqrt(1 + (3/4)^2)dt = sqrt(25/16)dt = (5/4)dt.

Now we can substitute in our parameterization and ds into the line integral to get ∫c x sin yds = ∫0^4 t sin((3/4)t + 3) (5/4)dt.

We can evaluate this integral using integration by parts. Let u = t and dv = sin((3/4)t + 3) (5/4)dt, then du/dt = 1 and v = (-4/3)cos((3/4)t + 3). The integral becomes:

∫0^4 t sin((3/4)t + 3) (5/4)dt = uv|0^4 - ∫0^4 v du/dt dt
= (-4/3)t cos((3/4)t + 3)|0^4 - ∫0^4 (-4/3)cos((3/4)t + 3) dt
= (-4/3)t cos((3/4)t + 3) + (16/9)sin((3/4)t + 3)|0^4
= (-16/3)cos(6) + (16/9)sin(6)

Therefore, the value of the line integral is (-16/3)cos(6) + (16/9)sin(6).

To evaluate the line integral ∫c x sin y ds, where C is the line segment from (0, 3) to (4, 6), you first need to parameterize the curve C.

A possible parameterization is r(t) = (1-t)(0, 3) + t(4, 6) = (4t, 3+3t), with t ∈ [0, 1]. Then, compute the derivative dr/dt = (4, 3).

Now, find the integrand by replacing x and y with the parameterized curve components: x sin y = (4t) sin(3 + 3t).

Next, find the magnitude of the derivative: |dr/dt| = √(4² + 3²) = 5.

Finally, compute the integral:

∫[0, 1] (4t sin(3 + 3t))(5) dt.

Evaluating this integral, you will get the value of the line integral for the given curve.

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Answer:

Choice a : $96,600

Step-by-step explanation:

The net worth of a person is computed as total assets - total liabilities in money terms

Ben's assets are as follows:

Townhome: $195,000

Savings: $5000

Car: $38,000

Total Assets: 195000 + 5000 + 38000 = $238,000

Ben's liabilities

Home Loan: $120,000

Credit Card: $1,400

Car Loan: $20,000

Total Liabilities = 120000 + 1400 + 20000 = $141,400

Net Worth = 238000 - 141400 = $96,600   (Answer is choice a)

Answer:

A

Step-by-step explanation:

Correct option is C. Row 15 of pascal's triangle will be used.

Pascal's triangle:

                                              1                                            n = 0 , Row = 0

                                      1                 1                                  n = 1  , Row = 1

                             1               2                1                          n = 2 , Row = 2

                                               :

                                          .........

                                           .......

For n = 0, Row number 1

For n = 1,  Row number 2

For n = 2, Row number 3

We make pascal's triangle but sum of above two number, write below.

As we can see in pascal's triangle.

Exponent represent the number of row.

If binomial has exponent n then nth row of pascal's triangle use.

For

Here power is 15

So, we have to use 15 row of pascal's triangle.

Hence, Row 15 is correct

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Answer:

A is a solution because it is in the shaded area.

Step-by-step explanation:

Answer:

angke D = 105°

Step-by-step explanation:

All triangles add up to 180°. 30+45=75 180-75=105

In triangle DEF, the measure of angle D is 105°.

A triangle is a geometric figure with three edges, three angles and three vertices. It is a basic figure in geometry.

The sum of the angles of a triangle is always 180°

Given that,

In triangle DEF,

Value of ∠ E = 30°, ∠ F = 45°.

Let the value of ∠ D  is x°.

Since, the sum of the angles of a triangle is 180°.

Apply this property in triangle DEF,

30 + 45 + x = 180

75 + x = 180

x = 180 - 75

x = 105

The value of ∠ D is 105°.

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Answer:

28

Step-by-step explanation:

it just is lol k

12345678]

Answer:

A=28

Step-by-step explanation:

A^2+21^2=35^2

A^2+441=1225

A^2=784

A=28

Once we have established that all three angles are congruent and all three sides are proportional, we can conclude that the two triangles are similar.

To prove that the two triangles are similar, we need to show that all three angles are congruent, and all three sides are proportional.

We know that angle N is congruent to angle Q, but we need to find additional information to prove that the triangles are similar. One possible piece of information could be the length of one side or the ratio of two sides.

If we know the ratio of the lengths of two corresponding sides in the two triangles, we can use that information to show that all three sides are proportional.

Alternatively, if we know the length of one side in both triangles, we can use the angle-angle similarity theorem to show that all three angles are congruent.

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Solving the given equation y = x(ab/a - b) for a, we have: a = by/(y - bx).

To solve an equation for a given variable is to make the variable the subject of the formula. To do this, isolate the variable to one side of the equation using appropriate properties of equality.

Given the equation,

y = x(ab/a - b)

Multiply both sides by 1/x

y/x = ab/(a - b)

Multiply both sides by (a - b)

y/x × (a - b) = ab/(a - b) × (a - b)

y(a - b)/x = ab

(ay - by)/x = ab

ay - by = abx

ay - by + by = abx + by

ay = abx + by

ay - abx = abx + by - abx

ay - abx = by

a(y - bx) = by

Divide both sides by (y - bx):

a(y - bx)/(y - bx) = by/(y - bx)   [division property of equality]

a = by/(y - bx)

Thus, solving the given equation y = x(ab/a - b) for a, we have: a = by/(y - bx).

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Answer:

B.

A' (-4,-2), B' (-1,-1), C' (-2,-2

Step-by-step explanation:

The result of the expression 3x-(2x+10) for x = \(7\frac{5}{13}\) is -2.61

The expression is

3x-(2x+10)

The expression is the mathematical sentence with a minimum of two variables and at least one math operation.

The value of the x = \(7\frac{5}{13}\)

Convert the mixed fraction to the simple fraction

\(7\frac{5}{13}\) = 96/13

Convert the simple fraction to the decimal form

96/13 = 7.39

Substitute the value of x in the given expression 3x - (2x + 10)

= 3 × 7.39 - (2×7.39 + 10)

Multiply the terms first

= 22.17 - (14.78 + 10)

= 22.17 - (24.78)

= -2.61

Hence, the result of the expression 3x-(2x+10) for x = \(7\frac{5}{13}\) is -2.61

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Answer:

\( \boxed{\sf n = 2m - 8} \)

Step-by-step explanation:

Solve for n:

⇒2m - n = 8

Subtract 2 m from both sides:

⇒2m - 2m - n = 8 - 2m

2m - 2m = 0:

⇒-n = 8 - 2 m

Multiply both sides by -1:

⇒-n × (-1) = (8 - 2m) × (-1)

⇒n = 2m - 8

The required value of n is equal to n = 2m - 8.

An expression is given in the question ; i.e., 2m - n = 8.

We have to find the value of the 'n' .

What is algebra ?

Algebra is the branch that deals with various symbols and the arithmetic operations such as addition , subtraction , etc.

As per the question ;

The given expression is 2m - n = 8.

Let's solve it to get the value of n.

The value of n can be find out , if we bring n to the left side of equal sign and 8 to the right of equal sign.

So ,

2m - n = 8 can be written as ;

2m = 8 + n

or

n = 2m - 8

Thus , the required value of n is equal to n = 2m - 8.

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Answer:

The expression x⁴ + 8x³ + 34x² + 72x + 81 cannot be factored further using simple integer coefficients. It does not have any rational roots or easy factorizations. Therefore, it remains as an irreducible polynomial.

Answer:

-205/69

Step-by-step explanation:

-41/3÷23/5

reciprocate, then the sign changes

-41/3×5/23

=-205/69

The recursive and the explicit formulas are f(n) = 3f(n - 1), where f(1) = 250 and f(n) = 250(3)ⁿ‐¹

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

This means that

Initial, a = 250 bacterial cultures.

Rate = 3

So, the recursive formulas is

f(n) = 3f(n - 1), where f(1) = 250

For the explicit formula, we have

f(n) = 250(3)ⁿ‐¹

Hence, the recursive and the explicit formulas are f(n) = 3f(n - 1), where f(1) = 250 and f(n) = 250(3)ⁿ‐¹

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Answer:

-243

Step-by-step explanation:

-(3)^5

-3 x -3 x -3 x - 3 x - 3

=>-243

The lengths of the diagonals are approximately 10.6 cm and 31.8 cm.

To solve this problem, we can use the formula for the area of a rhombus, which is A = (d₁ x d₂)/2, where A is the area, and d₁ and d₂ are the lengths of the diagonals.

We are given that the area of the rhombus is 168 square centimeters, so we can substitute this value into the formula:

=> 168 = (d₁ x d₂)/2.

We are also given that one diagonal is three times as long as the other, so we can express the length of one diagonal in terms of the other: d₁ = 3d₂.

Substituting this expression for d₁ into the formula for the area, we get:

168 = (3d₂xd₂)/2 336 = 3d₂²2 d₂² = 112 d₂ = √(112) = 10.6 (to the nearest tenth of a centimeter)

Using the expression for d₁ in terms of d₂, we can find the length of the other diagonal:

d₁ = 3d₂ = 3(10.6) = 31.8 (to the nearest tenth of a centimeter)

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The y-intercept is (0, -3)

The y-intercept is the point where the line on the graph cuts the y-axis.

To find the y-intercept, we let x equal to zero and solve for y.

y = -3 - 7x                   (given equation)

Substitute x = 0 in the equation,

y = -3 - 7(0)

y = -3 - 0

y = -3

Thus we can conclude that the y-intercept for the given equation y = -3 - 7x is (0, -3).

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Answer:

16.2kg/m³ to 1 decimal place

Step-by-step explanation:

Density=m/v

D=517/32(kg/m³)=16.15625≈16.2kg/m³ to 1 decimal place

Answer:

density =mass/volume

Step-by-step explanation:

density =517/32

16.156 rounded off

16.2m/kg