Please help me out!
How many solutions does this system of inequalities have?
y < –x + 4
y > –x – 2

The common denominator is 3a²

Systemic chemotherapy's impact on survival and recurrence in people with high-grade glioma has not been conclusively studied.

Patients undergoing systemic chemotherapy can get their chemotherapy drugs intravenously or orally. The medication may be injected into the body intravenously, or through an IV, or intramuscular, into a muscle (IM).

Some Key features of systemic chemotherapy are-

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The six trigonometric identities are:

Trigonometry is the branch of mathematics that deals with the relationships between the angles and sides of triangles. In trigonometry, there are six basic functions, sine, cosine, tangent, cosecant, secant, and cotangent, each of which is represented by a specific letter. These functions are related to each other through a set of identities known as the trigonometric identities.

The six trigonometric identities listed above, are the most commonly used identities, and provide the relationships between the six trigonometric functions and each other. They are useful for solving trigonometric equations, simplifying trigonometric expressions, and solving problems in geometry, physics, engineering and other sciences.

The Pythagorean identity states that the sum of the squares of the sine and cosine of an angle is equal to 1, which is a fundamental relationship between the two functions. The reciprocal identities state that the reciprocal of the sine and cosine of an angle is equal to the cosecant and secant of that angle respectively.

The quotient identities state that the tangent of an angle is equal to the sine of that angle divided by the cosine of that angle, and the cotangent of an angle is equal to the cosine of that angle divided by the sine of that angle.

It's important to note that these identities are valid for all values of the angle, and are true in any angle measurement system (degrees or radians).

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The function of exponential growth or decay is given as  y= a(1 ± r)ˣ.  y represents a function of exponential decay with 45%. The correct option is D.

Consider the function:

y= a(1 ± r)ˣ

where m is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.

If we compare the given function with the exponential function, then it can be observed that the value of (1±r) is less than 1, therefore, the function will be of exponential decay.

Now, if the (1-r) is compared with 0.55 given in the function than the value of r will be,

1 - r = 0.55

-r = 0.55 - 1

-r = -0.45

r = 0.45

r = 45%

Hence, y represents a function of exponential decay with 45%.

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Answer:

35.7 meters

Step-by-step explanation:

Literally all you do is divide the overall amount by how many rolls there were. That easy.

In order to justify their position candidate make assumption that the price effect would be larger than the quantity effect.

What is Price?

The amount of money required to obtain a certain thing is referred to as its price. Price is a measure of value in the sense that the amount people are willing to pay for a commodity signifies its value.

Concept:

Candidate A claims that raising the sales tax from 5% to 7% will enhance revenue. This suggests that the price effect is greater than the quantity effect because when taxes rise, prices rise and quantities fall; hence, tax revenue will rise only if the price effect is more than the quantity effect.

And Candidate B claims that the tax would harm merchants and customers, slow the economy, and reduce tax revenue, but only if the quantity effect outweighed the price effect.

As a result, Candidate A believes that the price effect will be greater than the quantity effect.

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Answer:

Four-tenths

Step-by-step explanation:

Four-tenths

Hope it helps you in your learning process.

Based on the information provided and considering the terms "pendulum" "positions a, b, and c," and "neglect friction," the true statement about the swinging pendulum is:

At position A, the pendulum has maximum potential energy and no kinetic energy. As it swings towards position B, its potential energy decreases while its kinetic energy increases. At position B, the pendulum has maximum kinetic energy and minimum potential energy. Then, as it moves towards position C, the kinetic energy decreases while the potential energy increases. At position C, it has the same potential energy as at position A, and the cycle repeats.

Potential energy is the energy possessed by an object due to its position or configuration relative to other objects. It is a form of stored energy that has the potential to be converted into other forms of energy and do work.

In the case of an object in a gravitational field, such as a pendulum, potential energy is associated with its vertical position above a reference point, often the ground. The higher the object is lifted, the greater its potential energy. The two most common forms of potential energy are gravitational potential energy and elastic potential energy.

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Answer:

What are the symbols?

Step-by-step explanation:

The margin of error for a 99% confidence interval using the standard normal distribution can be found using the formula:

margin of error = z * (population standard deviation / sqrt(n)), where z is the z-score corresponding to the desired confidence level, n is the sample size, and the population standard deviation is known. In this case, the margin of error is equal to 2.576 * (8.9 / sqrt(6)), which is approximately 10.64 miles.

To construct a 99% confidence interval for the population mean, we take the sample mean (21.7 miles) and add/subtract the margin of error: 21.7 ± 10.64. This gives us a confidence interval of (11.06, 32.34) miles.

Interpreting the results:

A. It can be said that approximately 99% of the population has a driving distance to work between 11.06 and 32.34 miles.

B. With 99% confidence, it can be said that the population mean driving distance to work is between 11.06 and 32.34 miles.

C. With 99% confidence, it can be said that most driving distances to work in the population are between 11.06 and 32.34 miles.

D. 99% of all random samples of six people from the population will have a mean driving distance to work that is between 11.06 and 32.34 miles.

Comparing these results to the ones using the t-distribution, the new confidence interval using the standard normal distribution is wider than the one using the t-distribution. This is because the t-distribution takes into account the uncertainty of estimating the population standard deviation from the sample, while the standard normal distribution assumes the population standard deviation is known. The center of the new confidence interval remains the same as it is based on the sample mean.

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Answer:

10.8 mi

Step-by-step explanation:

Picture a right triangle with legs 9 mi and 6 mi.  Applying the Pythagorean Theorem (d² = a² + b²), we get:

(9 mi)² + (6 mi)² = 117 mi²

This is the square of the hypotenuse (the desired distance).

Taking the square root of both sides, we get d = √(117 mi) ≈ 10.8 mi = d

The desired straight line distance traveled is 10.8 mi

The Pythagorean identity and the double and half angle identities indicates that we get;

cos(2·a) = 288/337

cos((1/2)·a) = √((676 - 25·√(674))/1348)

The Pythagorean identity for tangent indicates that we get; tan²a + 1 = sec²a

Therefore; sec²a = (7/25)² + 1 = 674/625

Which indicates that we get; cos²(a) = 625/674

The double angle identity for cosines, indicates;

cos(2·a) = 2·cos²(a) - 1 = 2 × (625/674) - 1 = 288/337

The half angle identity indicates that we get; cos(a/2) = ±√((1 + cos(a))/2)

sec²a = 625/674

cos²(a) = 625/674

cos(a) = √(625/674) = -25/√(674)

Therefore; cos(a/2) = ±√((1 + (-25/√(674)))/2) = √((674 - 25·√(674))/1348)

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The options that can be used to find m∠abc are:

m∠abc = 180° - m∠bca

m∠abc = m∠bac + m∠bca

To find m∠abc, the measure of angle ABC, you can use the following expressions:

m∠abc = 180° - m∠bca (Angle Sum Property of a Triangle): This expression states that the sum of the measures of the angles in a triangle is always 180 degrees. By subtracting the measures of the other two angles from 180 degrees, you can find the measure of angle ABC.

m∠abc = m∠bac + m∠bca (Angle Addition Property): This expression states that the measure of an angle formed by two intersecting lines is equal to the sum of the measures of the adjacent angles. By adding the measures of angles BAC and BCA, you can find the measure of angle ABC.

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which expressions can be used to find m∠abc? select two options.

Answer:

13

Step-by-step explanation:

The given information consists of a series of equations involving variables b1, b3, and b4, as well as the constant values 8, 9, and 10. The objective is to calculate the value of b3.

To find the value of b3, we need to analyze the given equations and use algebraic techniques to solve for the unknown variable.
From the equations given, we can observe that b1 = 10, b4 = 9, and 62 = 8. These values provide fixed points of reference.
Next, we examine the equations involving b3. We have two equations: b3 - a = 15 and b3 - b = 10. However, there is no information provided about the values of a and b. Without additional information or constraints, we cannot determine the specific value of b3.
It is important to note that the solution to the problem depends on having all the necessary information or additional equations that can be used to solve for the unknowns. In this case, the lack of information about the values of a and b prevents us from calculating the exact value of b3.

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The data includes a concave mirror with a radius of curvature of +31.5 cm and magnification of m = 3.40. The formula for magnification is m = v/u, and the focal length is f = r/2. Substituting the values, we get u = v/m, and using the mirror formula, the distance of the object from the mirror is 10.15 cm.

Given data: Radius of curvature of a concave mirror, r = +31.5 cm Magnification produced by the mirror, m = 3.40

We know that the formula for magnification is given by:

m = v/u where, v = the distance of the image from the mirror u = the distance of the object from the mirror We also know that the formula for the focal length of the mirror is given by :

f = r/2where,f = focal length of the mirror

Using the mirror formula:1/f = 1/v - 1/u

We know that a concave mirror has a positive focal length, so we can replace f with r/2.

We can now simplify the equation to get:1/(r/2) = 1/v - 1/u2/r = 1/v - 1/u

Also, from the given data, we have :m = v/u

Substituting the value of v/u in terms of m, we get: u/v = 1/m

So, u = v/m Substituting the value of u in terms of v/m in the previous equation, we get:2/r = 1/v - m/v Substituting the given values of r and m in the above equation, we get:2/31.5 = 1/v - 3.4/v Solving for v, we get: v = 22.6 cm Now that we know the distance of the image from the mirror, we can use the mirror formula to find the distance of the object from the mirror.1/f = 1/v - 1/u

Substituting the given values of r and v, we get:1/(31.5/2) = 1/22.6 - 1/u Solving for u, we get :u = 10.15 cm

Therefore, the distance of the mirror from the face is 10.15 cm. The units are centimeters (cm).Answer: 10.15 cm.

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Answer:

areas of AXYZ=10 square units1

Answer:

10 units squared

Step-by-step explanation:

Area of a triangle = 1/2 × base × height

Use the distance between two points formula to find the measure of the height and base of ΔXYZ.

Distance between two points

\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

\(\textsf{where }(x_1,y_1) \textsf{ and }(x_2,y_2)\:\textsf{are the two points}\)

Height of Triangle

Define the points:

Substitute the points into the distance formula to find the height of the triangle:

\(\begin{aligned}\implies \sf height & =\sqrt{(4-2)^2+(5-1)^2}\\& = \sqrt{2^2+4^2}\\& = \sqrt{20}\end{aligned}\)

Base of Triangle

Define the points:

Substitute the points into the distance formula to find the height of the triangle:

\(\begin{aligned}\implies \sf base & =\sqrt{(4-0)^2+(0-2)^2}\\& = \sqrt{4^2+(-2)^2}\\& = \sqrt{20}\end{aligned}\)

Area of Triangle

\(\begin{aligned}\implies \sf Area & = \dfrac{1}{2} \times \sf base \times height\\& = \dfrac{1}{2}\sqrt{20}\sqrt{20}\\& = \dfrac{1}{2}(20)\\& = 10 \sf \:\:units^2 \end{aligned}\)

Answer: $10.33

Step-by-step explanation:

Given: Julio is payed 1.2 times his normal hourly rate for each hour he works over 30 hours in a week.

Last week he worked 40 hours ( > 30 hours by 10 ) and earned $495.60.

Let r = Julio's hourly rate

if he worked over 30 hours in a week, then hourly rate = 1.2r

According to the question

\((1.2r)\times 40=495.60\\\\\Rightarrow\ r=\dfrac{495.60}{1.2\times 40}\\\\\Rightarrow\ r=10.325\approx10.33\)

Hence, his hourly rate = $10.33

TRUE: Basketball players' height is seen as a continuous variable.

Yes, as lengths are continuous variables, the random variable does indeed refer to length.

Thus, Basketball players' height is seen as a continuous variable

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Answer: y=3x-7 is the correct answer

Step-by-step explanation:

Answer:

In question number 9 I think is: 3. In question number 10 is: 3. If is not corect well...Im sorry I tried my best :) Hope it helps!

Step-by-step explanation:

Answer:

Step-by-step explanation:

Before the increase it was 100%

So 20+100=120

156/120*100=130$

Don’t do it like 20/100 *156 and then minus it from 156 because you will get a wrong answer

(This was answered by another person on a another question.)

Answer:

130

Step-by-step explanation:

x * 1.2 = 156

x = 156/1.2

x = 130

Answer:

Y=21

Step-by-step explanation:

add 13 on both sides you get Y=21

The total cost for 10 hours of work would be 25 + 50(10) = 525.

Cost is the monitorial associated with the purchase of production of food or service if can include the prices of material of which is over it and other expenses that are related to the production of the code of service cost is a major fraction of when deciding whether to purchase a product something as it is and indicator of the value of the product of sound service.
The marginal cost of producing 5 items can be calculated using the equation C(x)=1300+4x/10. The marginal cost is the cost associated with producing one additional item. To calculate the marginal cost, we can plug in x=5 into the equation.

The equation in slope-intercept form for cost, c, after h hours of service is c = 25 + 50h.

The total cost for 8 hours of work would be 25 + 50(8) = 425.

The total cost for 10 hours of work would be 25 + 50(10) = 525.

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Answer:

47.46 dollars

Step-by-step explanation:

If the store Macy has to increase the retail by 13%, then Macy store must increase the shirt. So you must increase 42 dollar by 13%.

Answer:

65.23

Step-by-step explanation:

We divide the inside number by the outside number. We can first right this problem as 652.3/10. Using power of ten rules we can move the decimal point one to the left. Making the answer 65.23

Answer:

128

Step-by-step explanation:

Multiply both sides by 8.

x=16×8

Multiply 16 and 8 to get 128.

x=128

Answer:

If x = 7, then x + 4 = 11.

Step-by-step explanation:

The converse of this sentence is simply flipping the placement of each segment.

For example, inside a english sentence:

"If the porch is wet, then it is raining." The converse will be "If it is raining, the porch will be wet."

The same applies for math. Simply flip the sentence fragments.

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