Please help!!!! ASAP!!! Thank you!!!

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

\(6x+6x-7=5\\12x-7=5\\12x=12\\x=1\)

Answer:

1,-3

Step-by-step explanation:

The solution to a graph is where the two lines interscet and this graph intersects at the points 1, -3

Using the same-side exterior angles theorem, the value of y is: 92°.

The same-side exterior angles theorem states that if two lines are cut by a transversal, and the alternate interior angles are congruent (equal in measure), then the same-side exterior angles are supplementary (add up to 180 degrees).

The image shows two angles that are same-side interior angles, which are (x + 1) and (x - 3) degrees. Therefore, their sum would be equal to 180 degrees. This means that:

(x + 1) + (x - 3) = 180 [based on the same-side exterior angles theorem]

x + 1 + x - 3 = 180

2x - 2 = 180

2x = 180 + 2

2x = 182

2x/2 = 182/2

x = 91

Thus, based on the alternate interior angles, we also have:

x + 1 = y

Plug in the value of x:

91 + 1 = y

92 = y

y = 92°

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The matrix A representing the linear transformation T is [5 -2; 0 6].

To find the matrix A that represents a linear transformation T, we need to determine the images of the standard basis vectors under T and use them to form the columns of A. In this case, we are given that T(1,0) = (5,0) and T(0,1) = (-2,6). These correspond to the first and second columns of A, respectively. Therefore, the matrix A is:

A = [5 -2]

[0 6]

To apply T to any vector x, we simply multiply it by A:

T(x) = Ax

So, if we have a vector x = [x1, x2], we can calculate T(x) as follows:

T(x) = [5x1 - 2x2, 6x2]

Thus, A fully characterizes the transformation T and enables the computation of T(x) for any given vector x.

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The correct answer is option (b) No, the statement does not represent an exponential function, h(t) = -4.9t² + 18t + 40 is a quadratic function and not an exponential function.

An exponential function is a mathematical function in which the variable is in the exponent. Exponential functions follow the form f(x) = a^x, where a is the base and x is the exponent.

The given statement is h(t) = -4.9t² + 18t + 40, which does not represent an exponential function. The value of t is not in the exponent in this case. Instead, it's a quadratic equation, which is in the form of h(t) = at² + bt + c.

Therefore, the correct answer is option (b) No, the statement does not represent an exponential function.

Explanation:

An exponential function can also be represented by the general form y = ab^x, where b > 0 and b ≠ 1. When plotted on a graph, the curve of an exponential function rises or falls at an increasing rate, depending on whether b is greater than or less than 1, respectively.

A quadratic equation is an equation of the form ax² + bx + c = 0, where a ≠ 0, and x represents a variable. Quadratic equations are second-degree equations, which means the highest exponent of the variable is two.

Therefore, h(t) = -4.9t² + 18t + 40 is a quadratic function and not an exponential function.

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Connective tissue bands called annular ligaments prevent flexor tendons of the forearm and leg from rising like bowstrings.

Annular ligaments are ring-like structures made of fibrous tissue that surround and hold tendons in place as they pass through tight spaces in the body. In the forearm, the annular ligaments hold the tendons of the flexor muscles in place as they pass under the wrist and into the hand.

In the leg, the annular ligaments hold the tendons of the hamstring muscles in place as they pass behind the knee.

Without annular ligaments, the tendons would be able to move too freely, causing them to bowstring and reducing their effectiveness in controlling movement. The annular ligaments help to keep the tendons in the correct position, allowing them to function properly and enabling smooth and efficient movement of the joints.

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Answer:

123334

Step-by-step explanation:

Answer:

5:6 lol

Step-by-step explanation:

The relation which is a function is; Choice A; {(6, −4), (5, 8), (−3, 6), (−4, −4)}

In mathematics, a function from a set of values for variable x to a set of values for variable y assigns to each element of x only one element of y. The set X is called the domain of the function and the set Y is called the codomain of the function.

On this note, since in Choice A, each x-value is mapped distinctively to one value of y, Choice A is a function.

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Work Shown:

r = 6 = radius

V = volume of a sphere of radius r

V = (4/3)*pi*r^3

V = (4/3)*pi*6^3

V = 904.77868423386

V = 904.8

I used my calculator's stored version of pi (instead of something like pi = 3.14)

The units "cubic meters" can be abbreviated to m^3 or \(m^3\)

The volume of the given sphere is 904.8 cubic meters. Thus, option B is the answer.

         The volume of a sphere can be calculated using the formula:

V = \(4/3 * \pi * r^3\),

Where V is the volume and r is the radius of the sphere.

\(\pi\) = 3.14

The radius of the sphere (r) = 6m

Plugging in the given radius of 6m into the formula, we get:

V = (4/3) * \(\pi\) * (6^3)

V = 1.333 * \(\pi\) * 216

V = 1.333 * 3.14 * 216

V = 4.1866 * 216

V = 904.8 cubic meters

Therefore, when the radius of the sphere is 6m, the volume of the sphere is 904.8  cubic meters.

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Answer:

5

Step-by-step explanation:

6-2x = 5x-9x+16

leave the x's together: (going over the equal signs changes the sign)

-2x-5x+9x = 16-6

2x = 10

x = 5

The length of the arc Intercepted by an angle measuring 3.9 radians in a circle with radius 9.7 is approximately 37.8 units.

The length of the arc intercepted by an angle of 3.9 radians in a circle with radius 9.7, we can use the formula:

arc length = radius x angle in radians

So, we can substitute the given values and calculate:

arc length = 9.7 x 3.9

arc length = 37.83

Rounding the result to the nearest tenth, we get:

arc length ≈ 37.8

Therefore, the length of the arc intercepted by an angle measuring 3.9 radians in a circle with radius 9.7 is approximately 37.8 units.

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Answer:

\(\\\sf7x^3 - 2x^2 - 5\)

Step-by-step explanation:

\(\\\sf(6x^3 + 3x^2 - 2) + (x^3 - 5x^2 - 3)\)

Remove parenthesis.

6x^3 + 3x^2 - 2 + x^3 - 5x^2 - 3

Rearrange:

6x^3 + x^3 + 3x^2 - 5x^2 - 2 - 3

Combine like terms to get:

----------------------------------------

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Hope this helps! :)

Answer:

7x³ - 2x² - 5

Step-by-step explanation:

(6x³ + 3x² - 2) + (x³ - 5x² - 3)

Remove the round brackets.

= 6x³ + 3x² - 2 + x³ - 5x² - 3

Put like terms together.

= 6x³ + x³ + 3x² - 5x² - 2 - 3

Do the operations.

= 7x³ - 2x² - 5

____________

hope this helps!

The population proportion of non-fatal accidents that involved the use of a cell phone is 0.03567

A population proportion is known as the share of a population that belongs to a particular group. The Confidence intervals are used to estimate population proportions.

as per given in the question,

The total number of accidents (n) are 600

The accidents involving cell phones (x) are 214

the sample proportion (\(\hat p\)) = x/n

where

x is the count of the successes

n is the total size of the population

P is the population proportion

=> 214/600

=> 0.3567

the estimated point for population proportion is

\(\hat p\) = 0.03567

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Answer:

\(15^{12}\)

Step-by-step explanation:

assuming you mean

\((15^3)^{4}\)

using the rule of exponents

\((a^m)^{n}\) = \(a^{mn}\) , then

\((15^3)^{4}\)

= \(15^{3(4)}\)

= \(15^{12}\)

The 90% confidence interval for the population mean gpa is [2.545,3.114].

The confidence interval for population mean is:

µ ± z* . σ/√n

Where, μ is population mean, σ is standard deviation, z* is the value of z-score and n is number of samples.

The z-score value for 90% confidence interval is 1.645.

The average gpa is found to be 2.83, so μ=2.83. The variance is 0.45, it means

σ² = 0.45

σ = √0.45

σ = 0.67

The 90% confidence interval for population mean is:

2.83 ± 1.645 . 0.67/√15

[2.83 - 1.645.0.67/√15 , 2.83+1.645.0.67/√15]

[2.545 , 3.114]

Therefore, the 90% confidence interval for the population mean gpa is :

[2.545 , 3.114]

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Since T satisfies both the additivity and scalar multiplication properties, it is a linear transformation from P2 to P2.

To verify whether T is a linear transformation, we need to check two properties: additivity and scalar multiplication.

Let's go through each property one by one:

(a) Additivity: For any functions ƒ and g in P2, we need to show that T(ƒ + g) = T(ƒ) + T(g).

Let's consider two arbitrary functions ƒ(t) and g(t) in P2. We have:

T(ƒ + g) = (ƒ + g)'(t) + t¯¹ * ∫(ƒ(s) + g(s))ds

Using the linearity of differentiation, we can expand (ƒ + g)'(t) as ƒ'(t) + g'(t). Therefore:

T(ƒ + g) = ƒ'(t) + g'(t) + t¯¹ * ∫(ƒ(s) + g(s))ds

Next, using the distributive property of integration, we have:

T(ƒ + g) = ƒ'(t) + g'(t) + t¯¹ * (∫ƒ(s)ds + ∫g(s)ds)

Since integration is linear, we can rewrite this as:

T(ƒ + g) = ƒ'(t) + g'(t) + t¯¹ * ∫ƒ(s)ds + t¯¹ * ∫g(s)ds

Now, let's consider T(ƒ) + T(g):

T(ƒ) + T(g) = ƒ'(t) + t¯¹ * ∫ƒ(s)ds + g'(t) + t¯¹ * ∫g(s)ds

Combining like terms, we get:

T(ƒ) + T(g) = ƒ'(t) + g'(t) + t¯¹ * ∫ƒ(s)ds + t¯¹ * ∫g(s)ds

Notice that T(ƒ + g) = T(ƒ) + T(g), which satisfies the additivity property. Therefore, T is additive.

(b) Scalar Multiplication: For any function ƒ in P2 and any scalar c, we need to show that T(cƒ) = cT(ƒ).

Let's consider an arbitrary function ƒ(t) in P2 and a scalar c:

T(cƒ) = (cƒ)'(t) + t¯¹ * ∫(cƒ(s))ds

Using the linearity of differentiation, we have:

T(cƒ) = cƒ'(t) + t¯¹ * ∫(cƒ(s))ds

Now, let's consider cT(ƒ):

cT(ƒ) = c(ƒ'(t) + t¯¹ * ∫ƒ(s)ds)

Expanding and factoring out the scalar c, we get:

cT(ƒ) = cƒ'(t) + ct¯¹ * ∫ƒ(s)ds

We can see that T(cƒ) = cT(ƒ), which satisfies the scalar multiplication property.

Since T satisfies both the additivity and scalar multiplication properties, it is a linear transformation from P2 to P2.

To find [T]₃, the matrix representation of T with respect to the basis B = {1, t, t²}, we need to compute T(1), T(t), and T(t²) and express them as linear combinations of the basis.

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Answer:

\(8000\)

Step-by-step explanation:

\(V\) = Volume of the cube = \(64\ \text{m}^3\)

\(k\) = Scale factor = \(5\)

Volume increases by the cube of the scale factor, So

Volume of new cube will be

\(V'=k^3V\)

\(\Rightarrow V'=5^3\times 64\)

\(\Rightarrow V'=125\times 64\)

\(\Rightarrow V'=8000\ \text{m}^3\)

Volume of the new cube is \(8000\).

Answer:

8,201 divided by 59 = 139

Step-by-step explanation:

Hoped this helped.

Answer:

6^2

Step-by-step explanation:

Answer:

6 ** 2

Step-by-step explanation:

becuase you can't use ^ in python you use ** to square.

The intersection of sets C and B, denoted as C ∩ B, is {−6, 0, 6}.

Explanation:

Set C contains the elements {-10, -8, -6, -4, -2, 0, 2, 4, 6, 8, 10}, and set B contains the elements {-9, -6, -3, 0, 3, 6, 9, 12}.

To find the intersection of two sets, we need to identify the elements that are common to both sets.

In this case, the elements -6, 0, and 6 are present in both sets C and B. Therefore, the intersection of sets C and B, denoted as C ∩ B, is {−6, 0, 6}.

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You can approximate the probability using the standard normal distribution table by looking up the closest values for Φ(2) and Φ(1).

To calculate the probability P(1 < z < 2) for a standard normal random variable, we can use the cumulative distribution function (CDF) of the standard normal distribution.

The CDF gives us the probability that a standard normal random variable is less than or equal to a given value. We can use this information to calculate the probability between two values.

Let's denote the CDF of the standard normal distribution as Φ(z). The probability P(1 < z < 2) can be calculated as follows:

P(1 < z < 2) = Φ(2) - Φ(1)

To calculate this, we need to look up the values of Φ(2) and Φ(1) from a standard normal distribution table or use a calculator/computer software. However, since I don't have access to real-time computations in this environment, I am unable to provide the exact numerical value.

But you can use statistical software or online calculators to find the precise value. Alternatively, you can approximate the probability using the standard normal distribution table by looking up the closest values for Φ(2) and Φ(1).

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The average daily float for the BBC Corporation, based on receiving 30 checks totaling $250,000 with an average delay of five days, is $41,667.

To calculate the average daily float, we need to determine the total amount of funds in transit and divide it by the average number of days the funds are delayed.

In this case, the BBC Corporation receives 30 checks totaling $250,000 in a typical month. The average delay for these checks is five days.

To calculate the total amount of funds in transit, we multiply the average daily amount by the average delay:

Total funds in transit = Average daily amount × Average delay

= ($250,000 / 30 days) × 5 days

= $8,333.33 × 5

= $41,666.67

Rounding to the nearest whole number, the average daily float is $41,667.

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Answer:

4000

Step-by-step explanation:

If we were to take the number 3,635 and round it to the nearest thousand, we can do it like this.

Start with 5. (Ones place)

3,635

5 is rounded to 10.

Now work on the number 4. (Tenths place)

3,640

4 is rounded to 0.

And now we can do the number 6. (Hundreds place)

3600

6 is rounded to 10.

If we look at the number now, it is

4000

3.635 rounded to the nearest thousand is 4000.

The equation y = x^2, where y(0) = 0 is homogenous and nonlinear, and has a unique solution.

Explanation: Homogeneous Differential Equation: Homogeneous differential equations are a type of differential equation that can be expressed in the following way:

f(x, y) = F(x, y)/G(x, y) = 0.

Linear and Nonlinear Differential Equations: The terms "linear" and "nonlinear" are used to describe differential equations.

The only unknown function and its derivative that appear are linear differential equations. The terms are nonlinear otherwise.The differential equation given is y = x^2.

Therefore, the differential equation is homogenous. Nonlinear differential equation has a nonconstant (that is, a varying) relationship between the function and the derivatives. Therefore, the differential equation is nonlinear.

The differential equation given is y = x^2.

Since the equation is homogenous and nonlinear, it has a unique solution.

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