URGENT !Tricia has 10 quarters, 17 dimes, 40 nickels, and 15 pennies.


How much money does Tricia have in all?


O A. $5. 15


B. $5. 85


OC. $6. 20


D. $6. 35

Surface area is increasing at a rate of 502.654 cm^2/sec and volume is increasing at a rate of 2513.274 cm^3/sec.

Part A: To find the rate at which the surface area of the spherical balloon is increasing when the radius is 10 cm, we need to use the formula for the surface area of a sphere.

The formula for the surface area of a sphere is A = 4πr^2, where A is the surface area and r is the radius of the sphere.

Given that the radius is increasing at a constant rate of 2 cm/sec, we can differentiate the surface area formula with respect to time to find the rate of change of the surface area.

dA/dt = 8πr(dr/dt)

In this case, dr/dt is the rate at which the radius is increasing, which is 2 cm/sec. Plugging in the values, we get:

dA/dt = 8π(10)(2) = 160π cm^2/sec

Now, to round to the nearest thousandths, we can approximate π as 3.14159.

So, the surface area is increasing at a rate of approximately 502.654 cm^2/sec when the radius is 10 cm.

Part B: To find the rate at which the volume of the spherical balloon is increasing when the radius is 10 cm, we need to use the formula for the volume of a sphere.

The formula for the volume of a sphere is V = (4/3)πr^3, where V is the volume and r is the radius of the sphere.

Again, we can differentiate the volume formula with respect to time to find the rate of change of the volume.

dV/dt = 4πr^2(dr/dt)

Using the given values, we have:

dV/dt = 4π(10)^2(2) = 800π cm^3/sec

Approximating π as 3.14159, we can calculate the rate of change of the volume:

dV/dt ≈ 800(3.14159) ≈ 2513.274 cm^3/sec

Therefore, the volume is increasing at a rate of approximately 2513.274 cm^3/sec when the radius is 10 cm.

This answers the question: "The following questions are about a spherical balloon that is being filled with air such that its radius is increasing at a constant rate of 2 cm/sec.

Part A: How fast is the surface area increasing when the radius of the sphere is 10 cm? Round to the nearest thousandths.

Part B: How fast is the volume increasing when the radius is 10 cm? Round to the nearest thousandths."

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Answer:

3/2

Step-by-step explanation:

Answer:

Either \(77.5^{o}\) or \(102.5^{o}\)

Step-by-step explanation:

Given that : one angle is \(25^{0}\) greater than another. Let the two angles be represented by a and b. Since one angle is \(25^{0}\) greater than another, then:

b = a + \(25^{0}\)

But;

a + b = \(180^{o}\) (sum of angles on a straight line)

a + a + \(25^{0}\) = \(180^{o}\)

2a = \(180^{o}\) - \(25^{0}\)

a = \(77.5^{o}\)

b =  \(77.5^{o}\) + \(25^{0}\) = \(102.5^{o}\)

Therefore the measures of all angles formed by the lines is either \(77.5^{o}\) or \(102.5^{o}\).

Answer:

The vertex is (-2,1)

Step-by-step explanation:

The standard equation for the parabola is 4p(x-h)=(y-k)^2

Rewrite (y-1)^2=24(x+2) in standard form

4*6(x-(-2))=(y-1)^2

Therefore parabola properites are:

(h,k)=(-2,1)

Answer:

This is easy

5.4 = X

Step-by-step explanation:

8.6 + 0.9 =9.5

14.9 - 9.5 = 5.4

5.4 = X

Answer:

a couple different obes

Step-by-step explanation:

there are five

Answer:

7

Step-by-step explanation:

Answer:

48559 if to the nearest whole number

48558.7 if to the nearest tenth

Step-by-step explanation:

the answer is

48558.7 is the answer

The function f(x) = -2|x - 3| + 2 involves a horizontal shift of 3 units to the right, a vertical reflection, and a downward stretch. Its domain is all real numbers, and its range is all real numbers less than or equal to 2.

The function f(x) = -2|x - 3| + 2 is a transformation of the basic absolute value function f(x) = |x|. Let's analyze the transformations and then graph both functions.Transformations:

1. Shifting: The function f(x) = -2|x - 3| + 2 involves a horizontal shift of the absolute value function f(x) = |x|. The term (x - 3) inside the absolute value causes a shift of 3 units to the right.

2. Reflecting: The negative sign in front of the absolute value function reflects the graph across the x-axis. It causes the function to be reflected vertically.

3. Compressing or stretching: There is no compression or stretching factor present in this particular function.

Graph of the basic function f(x) = |x|:

The graph of the basic function f(x) = |x| is a V-shaped graph that passes through the origin (0, 0). It has symmetry with respect to the y-axis.Graph of the given function f(x) = -2|x - 3| + 2:

To graph the given function, we start with the basic absolute value function f(x) = |x| and apply the transformations: a horizontal shift of 3 units to the right and a vertical reflection. The negative coefficient (-2) affects the amplitude, making the graph steeper.

Domain of f(x) = -2|x - 3| + 2:

The domain of the given function is all real numbers since there are no restrictions on the input values of x.

Range of f(x) = -2|x - 3| + 2:

The range of the given function is the set of all real numbers less than or equal to 2, as the vertical reflection and the coefficient (-2) cause the graph to be reflected and stretched downward.

Note: Without specific constraints on the values of x, the domain and range of the given function follow the typical domain and range of absolute value functions.

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If ū and ū have the same length, then the projection of u onto ū and the projection of ū onto ū will always have the same length. This is because the projection of a vector onto another vector is simply the vector that is parallel to the first vector and has the same length as the first vector.

If the two vectors have the same length, then the projection of one vector onto the other will also have the same length. If ū and ū do not have the same length, then it is possible for the projection of u onto ū and the projection of ū onto ū to have the same length.

This is because the projection of a vector onto another vector is not necessarily the same length as the first vector. If the two vectors are not parallel, then the projection of one vector onto the other will be shorter than the first vector. However, if the two vectors are perpendicular, then the projection of one vector onto the other will be the same length as the first vector.

The projection of a vector onto another vector is a vector that is parallel to the first vector and has the same length as the first vector. The projection of u onto ū can be calculated using the following formula:

proj_ū(u) = (u ⋅ ū) / ||ū||^2 * ū

where u ⋅ ū is the dot product of u and ū, and ||ū|| is the magnitude of ū. The projection of ū onto u can be calculated using the following formula:

proj_u(ū) = (ū ⋅ u) / ||u||^2 * u

where ū ⋅ u is the dot product of ū and u, and ||u|| is the magnitude of u. If ū and ū have the same length, then ||ū|| = ||u||. This means that the two formulas for the projection are the same, and the projection of u onto ū will have the same length as the projection of ū onto u.

If ū and ū do not have the same length, then ||ū|| ≠ ||u||. This means that the two formulas for the projection are not the same, and the projection of u onto ū may or may not have the same length as the projection of ū onto u. If the two vectors are not parallel, then the projection of one vector onto the other will be shorter than the first vector. However, if the two vectors are perpendicular, then the projection of one vector onto the other will be the same length as the first vector.

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All of the above factors (d) no. cycles for each stress range, temperature of steel in service, and environment affect the fatigue strength of a steel member connection.

Fatigue strength is the stress level that a material can withstand for a specified number of stress cycles before failing or breaking. The fatigue strength of a steel member connection is influenced by various factors, including:

no. cycles for each stress range The number of cycles for each stress range is a significant factor affecting the fatigue strength of a steel member connection. The fatigue life of a connection decreases as the number of cycles increases. This phenomenon is known as fatigue life reduction. The durability of a connection is inversely proportional to the number of cycles it can withstand. The number of cycles to failure decreases as the stress range increases.temperature of steel in service

The temperature of the steel in service also affects the fatigue strength of a steel member connection. High temperatures cause material properties to deteriorate, lowering the connection's fatigue strength. It is critical to maintain a low-temperature service environment to avoid material degradation.environmentThe environment in which the steel member connection is placed affects its fatigue strength. The corrosion of the connection reduces its fatigue strength. As a result, it is critical to maintain a clean and dry environment to maintain the connection's durability.All of these variables are significant in determining the fatigue strength of a steel member connection.

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Answer:

Step-by-step explanation: 70 2.5 60

Answer:

C. 120 students

Step-by-step explanation:

10 + 15 + 20 +30 = 75%

100 - 75 = 25%

25% chose football which is 100 students

30% chose swimming

setup proportion:

25/100 = 30/x

25x = 100(30)

25x = 3000

x  = 120

We can say that after answering the offered question The terms in the equation given equation can be streamlined and rearranged to produce the following equation: 23p – 101 = 64p – 40

An equation is a mathematical statement that proves the equality of two expressions connected by an equal sign '='. For instance, 2x – 5 = 13. Expressions include 2x-5 and 13. '=' is the character that links the two expressions. A mathematical formula that has two algebraic expressions on either side of an equal sign (=) is known as an equation. It depicts the equivalency relationship between the left and right formulas. L.H.S. = R.H.S. (left side = right side) in any formula.

Using the equality properties, we can rewrite the preceding equation as follows:

2.3p – 10.1 = 6.5p – 4 – 0.01p

2.3p – 10.1 = 6.49p – 4

We can alter the equations using the equality characteristics to look for equations that have the same solution. The answers to the next two equations are the same as those for the previous one:

2.3p – 10.1 = 6.4p – 4

The following equation can be created by adding 0.09p to both sides of the given equation:

2.3p - 10.1 + 0.09p = 6.5p - 4 - 0.01p + 0.09p

2.39p – 10.1 = 6.4p – 4

23p – 101 = 65p – 40 – p

The terms in the given equation can be streamlined and rearranged to produce the following equation:

23p – 101 = 64p – 40

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Answer:

a) 23x

b) 8n

c) -6y

d) -17w

Explanation:

When combining like terms, if there is an addition operator, add both coefficients and carry the variable over. If there is a subtraction operator, subtract both coefficients and carry the variable over. Remember, you can only combine like terms if the variable, and exponent are the same. The addition and subtraction symbols are examples of an operator used in arithmetic. For example, 9x + 14x could be like adding 9 objects and 14 objects together, you have 23 objects total because 9 + 14 = 23. When you add negative numbers, it is like subtracting. When you subtract negative numbers, it is like adding. Negative just means opposite.

a) 9x + 14x = (9+14)x = (23)x = 23x

b) -2n - 10n = (-2+10)n = (8)n = 8n

c) 8y - 14y = (8-14)y = (-6)y = -6y

d) -6w - 11w = (-6-11)w = (-17)w = -17w

Answer:

a: 23x

b: 8n

c: -6y

d: -17w

Step-by-step explanation:

you just add/subtract the numbers then add the variable at the end

Answer:

4.5

Step-by-step explanation:

To find the hypotenuse of a right triangle, we use Pythagorean's Theorem which states that \(a^{2}+b^{2} =c^{2}\). Plugging in the values of the two legs given, we get \(2^{2} +4^{2} =c^{2} =20\). We can take the square root of each side and get that \(c=\sqrt{20} =4.5\).

Answer:

Try 4.5 or 5

Step-by-step explanation:

I measured it up and I estimated 4.5 at most

The first step in simplifying the expression 2(x+3)+5 = 2x+2(3)+5.

Given expression in 'x' is 2(x+3)+5.

In order to simplify this expression, we need to expand it by opening the parenthesis. That is, we need to distribute 2 over (x+3) first. For this we multiply 2 into (x+3) and then only we can add 5 to it.

So, 2(x+3) +5 = 2x + 2(3) +5

                     = 2x +6 +5

                     = 2x+11

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Answer:

Step-by-step explanation:

first we are told that side and ae and a f are the same

so that means one side of each triangle is the same

next we are told that that the lines coming off of those sides are both right angles. so we know these are both right triangles

and b/c both of those angle are right angles... the sides ab and ac have to also be the same length.. or the angle could not be a right angle

therefore since two sides are the same length then all 3 must be the same lengths

and b/c all three are the same these two triangles are the same .. congruent

Answer:

here!

Step-by-step explanation:

"In decimal form, the value of pi is approximately 3.14."

hope this helps! :)

Answer:

pi equal 3.141492654 ................. and more but that is the standard answer

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

Take any two points: (3,-4) and (0,-5)

y2 - y1 / x2 - x1

-5 - (-4) / 0 - 3

-1 / -3 = 1/3

1. Substitute the value of y from the first equation to the second equation

4x + x+5 = 20 (First fill in the blank)

2. Solve for x

4x + x + 5 = 20

5x + 5 = 20

5x = 20 - 5

5x = 15

5x/5 = 15/5

x = 3

3. Substitute x = 3 to the original equation

y = x+5

y = 3 + 5

y = 8

4. Therefore, the solution of the system of equation is (3,8) (second fill in the blank)

ANSWER

EXPLANATION

We want to solve the equation using a common base. Since the bases on both sides of the equation are equal, the exponents are also equal.

This implies that:

Collect like terms and simplify:

That is the solution.

Answer:

102 or the 12th number considering 38 is the 4th

\((x+8)+4x = 7x -16\\\\\implies 5x +8 = 7x -16\\\\\implies 7x -5x = 8+16 \\\\\implies 2x = 24\\\\\implies x = \dfrac{24}2\\\\\implies x= 12\)