Parv has a $50 gift card he uses the gift card to buy a pack of games for 9. 99. He also wants to buy n movies. Each movie cost 3. 99. Which inequality describes how many movies part can buy?​

Answer:

8 one-dollar bills

3 five-dollar bills

2 ten-dollar bills

Step-by-step explanation:

Let x = # of one-dollar bills, y = # of five-dollar bills, and z = # of ten-dollar bills. Total amount in the wallet is $43, so the first equation would be 1x + 5y + 10z = 43. Next, there are 4 times as many one-dollar bills as ten-dollar bills, so x = 4z. There are 13 bills in total, so x + y + z = 13

x + 5y + 10z = 43

x = 4z

x + y + z = 13

x + 5y + 10z = 43

x + 0y - 4z = 0

x + y + z = 13

5y + 14z = 43

-y - 5z = -13

5y + 14z = 43

-5y - 25z = -65

-11z = -22

z = 2

x = 4z

x = 4*2 = 8

x + y + z = 13

8 + y + 2 = 13

10 + y = 13

y = 3

Answer:

D

Step-by-step explanation:

Because I said so

The product of two rational numbers can always be written as a fraction.

A rational number is a number that can be written as the quotient of two integer numbers.

Then if we have two rational numbers:

\(a = \frac{x}{y} \\\\b = \frac{z}{w}\)

The product can be written as:

\(a*b = \frac{x}{y}*\frac{z}{w} = \frac{x*z}{y*w}\)

Thus, the product of two rational numbers can always be written as a fraction.

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Completely factorize the polynomial using any methods that are appropriate, then look for shared factors and the polynomial's roots. Next, double-check your work to confirm accuracy.

Follow these steps to determine a polynomial's factorization:

Completely factor the polynomial using any relevant techniques, including grouping, utilizing the difference of squares or cubes, or using the quadratic formula.

By multiplying them all together, you can verify that each factor is accurate. The final figure must match the initial polynomial.

Look for shared factors among the polynomial factors. If the polynomial has common components, remove them from the equation and rewrite it as the product of the common factors and the other factors.

The polynomial's roots can be verified by setting each factor to zero and calculating the variable. The roots ought to correspond to the original polynomial.

Verify your work a second time to make sure all relevant elements have been identified and taken into consideration.

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In simplest radicle form, the length of the third side = 9 units.

Given,

Side A = 7 units.

Side B = 4√2 units.

To find Side C, we use the Pythagorean formula,

a² = b² + c²

7² = \(4\sqrt{2}^{2}\) + c²  

c² = 49 + 32

c² = 81

√c² = √81

c = -9,9.

c ≠ -9 as negative values are not considered for dimensions.

Hence, the length of the third side is 9 units.

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Your question is incomplete. The complete question is:

With reference to the figure below,  find the length of the third side. If necessary, write in the simplest radical form.

Therefore, based on the analysis, the sample result of 110 grams is considered unusually low compared to the expected population mean of 118 grams.

To determine if the sample result of 110 grams is unusually low, we can use statistical analysis by comparing the sample mean to the population mean and considering the standard deviation.

Population mean (μ) = 118 grams

Standard deviation (σ) = 14 grams

Sample size (n) = 50

Sample mean (x) = 110 grams

First, we can calculate the standard error of the sample mean using the formula:

Standard Error (SE) = σ / √(n)

SE = 14 / √(50)

≈ 1.98 grams

Next, we can calculate the z-score, which measures the number of standard deviations the sample mean is away from the population mean. The formula for the z-score is:

z = (x - μ) / SE

z = (110 - 118) / 1.98

≈ -4.04

The z-score tells us how many standard deviations the sample mean is below the population mean. In this case, the z-score is approximately -4.04. To determine if the sample result is unusually low, we need to compare the z-score to a critical value. Typically, a z-score beyond a certain threshold (usually 2 or -2) is considered unusual. Using a threshold of 2 standard deviations, if the z-score falls beyond -2, it would indicate that the sample mean is unusually low. In this case, the z-score of -4.04 is significantly below -2, which suggests that the sample mean of 110 grams is indeed unusually low.

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To find the volume of the solid that lies under the plane z=x in the first octant between the two circles \(x^2+y^2=4\) and \(x^2+y^2=2x\), we need to set up an integral in cylindrical coordinates and integrate over the appropriate region.

First, let's sketch the region in the first octant. The two circles can be represented in cylindrical coordinates as follows:

For the circle \(x^2+y^2=4:\)

\(r^2 = 4 (since x^2 + y^2 = r^2\) in cylindrical coordinates)

For the circle \(x^2+y^2=2x:\)

\(r^2 = 2r cos(θ) (since x^2 + y^2 = r^2\)and x = r cos(θ) in cylindrical coordinates)

Setting these two equations equal to each other, we get:

4 = 2r cos(θ)

Solving for r, we get:

r = 2 cos(θ)

This represents the boundary between the two circles in the first octant. The region enclosed between the two circles in the first octant can be represented as 0 ≤ r ≤ 2 cos(θ), 0 ≤ θ ≤ π/2.

Next, we set up the integral for the volume using cylindrical coordinates. The volume element in cylindrical coordinates is given by r dz dr dθ, where r is the radial distance, θ is the angle, and z is the height.

Since z = x in this case, we have z = r cos(θ).

The limits of integration for r and θ are 0 to 2 cos(θ) and 0 to π/2, respectively, as determined by the region we sketched earlier.

The integral for the volume becomes:

V = ∫∫∫ r dz dr dθ

= ∫∫∫ r (r cos(θ)) dr dθ from r=0 to 2cos(θ) and θ=0 to π/2

Now we can integrate with respect to r and θ accordingly:

∫∫∫ r (r cos(θ)) dr dθ

= ∫[0,π/2] ∫[0,2cos(θ)] r^2 cos(θ) dr dθ

Integrating with respect to r first:

= ∫[0,π/2] \([(r^3/3)\) cos(θ)] from r=0 to 2cos(θ) dθ

= ∫[0,π/2] (8/3) cos^4(θ) dθ

Finally, integrating with respect to θ:

= (8/3) ∫[0,π/2] \(cos^4\)(θ) dθ

This integral can be evaluated using trigonometric identities or integration by parts. After evaluating the integral, the result will give us the volume of the solid that lies under the plane z=x in the first octant between the two circles \(x^2+y^2=4 and x^2+y^2=2x.\)

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Answer:

$7462 to the nearest dollar.

Step-by-step explanation:

10000 = P(1 + 0.05)^6   where P is the initial investment.

10000 = P * 1.05^6

Taking logs:

log 10000 = log P + 6  log 1.05

log P = log 10000 - 6 log 1.05

log P = 4 - 0.127136 = 3.872864

P = 7462

Answer:

CD = 156

Step-by-step explanation:

132 / 55 = 2.4

120 / 50 = 2.4 (for clarification)

65 x 2.4 = 156

Answer:

156

Step-by-step explanation:

IF they are propeirtional we can make the equation

\( \frac{132}{55} = \frac{x }{65} \)

which gives us 156

Answer:

The highest common factor is 5

Step-by-step explanation:

3x5=15  4x5=20

Answer:

answer is 5

Step-by-step explanation:

See image below, This is a good website  called Cue math explaining.  

https://www.cuemath.com/questions/gcf-of-15-and-20/

The value of x is 41 . Option B

It is important to note that angles on a straight line are known to be supplementary.

Supplementary angles are defined as angles that sum up to 180 degrees.

From the information given, we have that;

Since angles on a straight line sum up to 180 degrees, we have that;

m∠PQS + m∠RQS = 180°

Substitute the values into the equation

3x - 3 + x + 19 = 180°

collect like terms

4x = 180 - 16

4x = 164

Make 'x' the subject of formula

x = 164/4

x = 41

Thus, the value of x is 41 . Option B

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Answer:

286.333

Step-by-step explanation:

Find it doing long division...

The value of the rate of change when we put a glass of water at room temperature is 1/3.

The pace at which one quantity changes in relation to another quantity is known as the rate of change function. Simply said, the rate of change is calculated by dividing the amount of change in one thing by the equal amount of change in another.

The connection defining how one quantity changes in response to the change in another quantity is given by the rate of change formula. The formula for calculating the rate of change from y coordinates to x coordinates is y/x = (y2 - y1)/. (x2 - x1 ).

Rate of change  = change in temperature / time

= 10-5/15

=5 / 15

= 1/3

Therefore, the Rate of change is 1/3.

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Complete question;

What is the value of the rate of change when we put a glass of water at room temperature in the freezer for 15 minutes, what is its temperature at 5 minutes and then at 10 minutes.

Answer:

profit of 3.33%

Step-by-step explanation:

Answer:

Step-by-step explanation:

Solve the system by substitution:

Find p:

Total profit or loss:

Profit percent:

Answer: 17 cm

Step-by-step explanation:

First step is to add up the numbers in the ratio:

= 2 + 3 + 5

= 10

The shortest piece according to the ratio is the 2 in the ratio. To find out the length this 2 corresponds with, use two as the numerator and 10 as the denominator:

= 2 / 10 * 85 cm

= 17 cm

Answer:

\(\large\boxed{x = -4}\)

Step-by-step explanation:

-2x + 4 = 12

Subtract 4 from both sides of the equation

-2x = 8

Divide both sides of the equation by 2

-x = 4

Transfer the minus (multiply both sides by -1)

\(\large\boxed{x = -4}\)

Hope this helps :)

Answer:

x = -4

Step-by-step explanation:

-2x + 4 = 12

-2x = 8

x = -4

Answer:

both of the solution is B and C

Answer:

-2a if you're Simplifying it and 2\5 if you're going for a decimal

(-35-42-63)/7= (-140)/7=-20

Answer:

A. y = 5x

Step-by-step explanation:

In order to find the answer, all you have to do is see the unit rate, which is the number of balls per minute, and if you look at the chart, it shows that for every 1 minute that passes, 5 balls are thrown, therefore, the answer would be:

y = 5x

Hope this helps :)

Answer:

Step-by-step explanation:

y=5x

if you put the graph as a table :

x         y

1          5

2         10

3         15

4          20

constant is y/x=5/1=10/2=15/3=20/4=5

Answer:

the 3rd one

Step-by-step explanation:

i just took the test

Based on the model produced by the scatterplot, log of stock prices is calculated from the scatter plot and 10 is raised to the power of the result to obtain the estimated stock price. Hence, a reasonable estimate for the stock price would be ; $185.05

From the scatter plot model :

log y = 0.0022(95) + 2.0583

log y = 2.2673

Raise the power of both sides to the power of 10

\(y = 10^{2.2673} = 185.054 \)

Therefore, a reasonble estimate for the stock price would be $185.05

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Answer:

16 is equivalent to 8 12 and 64

Step-by-step explanation:

Answer:

a∈R

Step-by-step explanation:

Use the distributive property to multiply 3 by 2a+3.

6a+9−2a=2(5+2a)−1

Combine 6a and −2a to get 4a.

4a+9=2(5+2a)−1

Use the distributive property to multiply 2 by 5+2a.

4a+9=10+4a−1

Subtract 1 from 10 to get 9.

4a+9=9+4a

Subtract 4a from both sides.

4a+9−4a=9

Combine 4a and −4a to get 0.

9=9

Compare 9 and 9.

True

This is true for any a.

a∈R

A 50 percent increase in Earth's albedo, which refers to the reflectivity of its surface, would lead to a decrease in average surface temperatures.

Albedo plays a crucial role in determining how much of the sun's energy is absorbed or reflected by the Earth. The given information states that approximately 30 percent of the sun's energy is currently reflected back into space. If Earth's albedo increases by 50 percent, meaning more energy is reflected, it would result in less energy being absorbed by the Earth's surface and atmosphere.

The increased albedo would cause a higher percentage of the incoming solar radiation to be reflected and scattered back into space. With less energy being absorbed, the average surface temperatures would decrease. This is because less solar energy would be available to warm the Earth's surface and drive atmospheric processes that contribute to temperature regulation. Therefore, a 50 percent increase in Earth's albedo would likely lead to a cooling effect and lower average surface temperatures on our planet.

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Answer:

None of the options is true

Step-by-step explanation:

Given

\(y < 3x - 1\)

\(y > -x + 4\)

Required

Which makes the above inequality true

The missing options are:

\((4,0)\ (1,2)\ (0,4)\ (2,1)\)

\((a)\ (x,y) = (4,0)\)

Substitute values for x and y in the inequalities

\(y < 3x - 1\)

\(0<3*4 - 1\)

\(0<12 - 1\)

\(0<11\) ---- This is true

\(y &gt; -x + 4\)

\(0 > -4 + 4\)

\(0 > 0\) --- This is false

\((b)\ (x,y) = (1,2)\)

Substitute values for x and y in the inequalities

\(y &lt; 3x - 1\)

\(2<3 * 1 - 1\)

\(2<3 - 1\)

\(2<2\) --- This is false (no need to check the second inequality)

\((c)\ (x,y) = (0,4)\)

Substitute values for x and y in the inequalities

\(y &lt; 3x - 1\)

\(4< 3*0-1\)

\(4< 0-1\)

\(4<-1\) --- This is false (no need to check the second inequality)

\((d)\ (x,y) = (2,1)\)

Substitute values for x and y in the inequalities

\(y &lt; 3x - 1\)

\(1<3*2-1\)

\(1<6-1\)

\(1<5\) --- This is true

\(y &gt; -x + 4\)

\(1 > -2+4\)

\(1 > 2\) -- This is false

Hence, none of the options is true

Answer: 7

Step-by-step explanation:

7

To find the implicit solution for dy/dx = x^2/(1-y^2), we can start by separating the variables and integrating both sides.

dy/(1-y^2) = x^2 dx

To integrate the left-hand side, we can use partial fractions:

dy/(1-y^2) = (1/2) * (1/(1+y) + 1/(1-y)) dy

Integrating both sides, we get:

(1/2) * ln|1+y| - (1/2) * ln|1-y| = (1/3) * x^3 + C

Where C is the constant of integration.

We can simplify this expression by combining the natural logs:

ln|1+y| - ln|1-y| = (2/3) * x^3 + C'

Where C' is a new constant of integration.

Finally, we can use the logarithmic identity ln(a) - ln(b) = ln(a/b) to get the implicit solution:

ln|(1+y)/(1-y)| = (2/3) * x^3 + C''

Where C'' is a final constant of integration.

Therefore, the implicit solution for dy/dx = x^2/(1-y^2) is ln|(1+y)/(1-y)| = (2/3) * x^3 + C''.

Given the differential equation:

dy/dx = x^2 / (1 - y^2)

To find an implicit solution, we can use separation of variables. Rearrange the equation to separate the variables x and y:

(1 - y^2) dy = x^2 dx

Now, integrate both sides with respect to their respective variables:

∫(1 - y^2) dy = ∫x^2 dx

The result of the integrations is:

y - (1/3)y^3 = (1/3)x^3 + C

This is the implicit solution to the given differential equation, where C is the integration constant.

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The given assertion is false. The option for reason is the principal option:

"  An arrangement of three linear equations in three unknowns can have one solution, an infinite number of solutions, or no solutions."

An arrangement of linear equations is a grouping of at least one linear equation with similar variables.

A linear framework solution is the task of values to variables so that the equations are all concurrently satisfied.

For an arrangement of equations, three types of solutions exist:-

One solution: When the lines (planes) converge at a point.

No Solution: When the lines (planes) are parallel.

Infinitely numerous solutions: When the lines (planes) overlap one another.

Subsequently, the given assertion is false. The option for reason is the principal option:

" The assertion is false. An arrangement of three linear equations in three unknowns can have one solution, an infinite number of solutions, or no solutions."

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refer to the attachment for the complete question:

We have found two quadratic functions with x-intercepts (-5,0) and (5,0): f(x) =\(x^2 - 25\), which opens upward, and g(x) = \(-x^2 + 25\), which opens downward.

For the quadratic function that opens upward, we can use the x-intercepts (-5,0) and (5,0) to set up the equation:

f(x) = a(x + 5)(x - 5)

where a is a constant that determines the shape of the parabola. If this function opens upward, then a must be positive. Expanding the equation, we get:

f(x) = a(x^2 - 25)

To determine the value of a, we can use the fact that the coefficient of the x^2 term in a quadratic equation determines the shape of the parabola. Since we want the parabola to open upward, we need the coefficient of x^2 to be positive, so we can set a = 1:

f(x) = x^2 - 25

For the quadratic function that opens downward, we can use the x-intercepts (-5,0) and (5,0) to set up the equation:

g(x) = a(x + 5)(x - 5)

where a is a constant that determines the shape of the parabola. If this function opens downward, then a must be negative. Expanding the equation, we get:

g(x) = a(x^2 - 25)

To determine the value of a, we can use the fact that the coefficient of the x^2 term in a quadratic equation determines the shape of the parabola. Since we want the parabola to open downward, we need the coefficient of x^2 to be negative, so we can set a = -1:

g(x) = -x^2 + 25

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