Please help giving 10 points!
Which statements about the graphs of the equations y = 2x + 4 and y = −x + 4 are true? Select all that apply.

A. The graphs intersect the x-axis at the same point.

B. The graphs intersect the y-axis at the same point.

C. The graphs have different slopes.

D. The graphs are parallel lines.

Answer:

\(0.625kg\)

Step-by-step explanation:

we are given half-life of PO-210 and the initial mass

we want to figure out the remaining mass after 420 days

in order to solve so we can consider the half-life formula given by

\( \displaystyle f(t) = a {0.5}^{t/T} \)

where:

since it halves every 140 days our T is 140 and t is 420. as the initial mass of the sample is 5 our a is 5

thus substitute:

\(\displaystyle f(420)=5\cdot{0.5}^{420/140}\)

reduce fraction:

\(\displaystyle f(420)=5\cdot{0.5}^{3}\)

By using calculator we acquire:

\(\displaystyle f(420)=0.625\)

hence, the remaining sample after 420 days is 0.625 kg

Answer:

saturn

Step-by-step explanation:

ur anus

The required answer for the given expression is 0.

Simplification generally means finding an answer for the complex calculation that may involve numbers on division, multiplication, square roots, cube  roots, plus and minus.

Now the given expression is,

|8-40/4^3| 4^2 - 8

Solving the mod first,

Since 4^3 = 64 ; 4^2 = 16,

and 8 - 40 = -32

Therefore,

|8-40/4^3| 4^2 - 8 = |-32/64|16 - 8

Now solving

⇒ 32/64 = 1/2

Therefore we get,

|8-40/4^3| 4^2 - 8 = |-31/2| 16 - 8

Now since, |-a| = a

therefore, |-1/2| = 1/2

Therefore we get,

|8-40/4^3| 4^2 - 8 = (1/2) 16 - 8

Now, since (1/2) 16 = 8

Therefore we get

|8-40/4^3| 4^2 - 8 = 8 - 8

solving we get,

|8-40/4^3| 4^2 - 8 = 0

this is the required answer for the given expression.

Thus, the required answer for the given expression is 0.

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Answer:

27.4%

Step-by-step explanation:

Step one:

given

original cost $69

seling price $52

Required

The percent reduction

Step two:

% reduction= change in price/original price*100

% reduction= 69-52/62*100

% reduction=17/62*100

% reduction= 0.274*100

% reduction= 27.4%

The demand elasticity for Netflix's pricing experiment can be calculated using the formula:Demand Elasticity = Percentage change in quantity demanded / Percentage change in price.

Given that the users who received a 20% discount were observed to be 10% more likely to join as new members, we can assume that the percentage change in quantity demanded is 10%. However, we don't have information about the percentage change in price. Without that information, it is not possible to calculate the demand elasticity.

Regarding the optimality of the current price for Netflix, we cannot determine it based solely on the given information. Demand elasticity helps measure the responsiveness of quantity demanded to a change in price, which can guide pricing strategies. If the demand elasticity is elastic (greater than 1), a decrease in price can lead to a proportionally larger increase in quantity demanded.

However, without knowing the specific price, quantity demanded, and elasticity values, it is not possible to determine whether the current price is optimal for Netflix.

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Answer:

-2x +5(-4x+1) =-17

-2x -20x+5=-17

-22x+5=-17

-22x=-22

x=1

y=-4(1)+1

y=4+1

y=5

(1,5)

Answer:

45 girls

Step-by-step explanation:

since the ratio is 3:5, 3 being the boys, we can divide 27 by 3. We get nine, which is the number we multiply 5 with. 9*5=45 girls

The yards of fabrics Elon will have left if he buys 6 yards and used 2/18 yards for jacket is 5 8/9 yards

Number of yards of fabrics Elon bought = 6 yards

Fabrics used to make jacket = 2/18 yards

Yards of fabrics remaining = Number of yards of fabrics Elon bought - Fabrics used to make jacket

= 6 - 2/18

= 6 - 1/9

= (54 - 1) / 9

= 53/9

= 5 8/9 yards

Hence, Elon will have 5 8/9 yards left after making his jacket

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Answer:

\(\boxed{\sf n= \dfrac{2}{5} ,\: n=1}\)

Step-by-step explanation:

\(\rightarrow 5n^2 = 7n -2\)

\(\rightarrow 5n^2 - 7n +2=0\)

\(\rightarrow 5n^2 - 5n -2n+2=0\)

\(\rightarrow 5n(n - 1) -2(n-1)=0\)

\(\rightarrow (5n-2)(n-1)=0\)

\(\rightarrow 5n-2= 0,\: n-1=0\)

\(\rightarrow 5n= 2,\: n=1\)

\(\rightarrow n= \dfrac{2}{5} ,\: n=1\)

Step-by-step explanation:

\(\hookrightarrow\sf{5n^2 = 7n -2}\\\\\hookrightarrow\sf{5n^2 - 7n +2=0}\\\\\hookrightarrow\sf{5n^2 - (5+2)n +2=0}\\\\\hookrightarrow\sf{5n^2 - 5n -2n+2=0}\\\\\hookrightarrow\sf{ 5n(n - 1) -2(n-1)=0}\\\\\hookrightarrow\sf{ (5n-2)(n-1)=0}\\\\\hookrightarrow\sf{ 5n-2= 0\:or~ n-1=0}\\\\\hookrightarrow\sf{ 5n= 2\:or~n=1}\\\\\hookrightarrow\bold{ n= \dfrac{2}{5} \:or~ n=1}\)

Answer:

the area is 1235

Step-by-step explanation:

Answer:

2714.33 sq in

explanation-

The standard form of the given numbers is 207360 × 10¹⁷.

The number system is a way to represent or express numbers.

A decimal number is a very common number that we use frequently.

Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.

Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.

Given the numbers is  (5 x 1,000,000) (6 x 100,000) (4 x 10,000) (8 x 1,000) (3 x 100) (2 x 10) (4 x 0.1) (9 x 0.001)

Now standard form means we need to write the exponents form.

So,

5 x 6 x 4 x 8 x 3 x 2 x 4 x 9 = 207360

And

1,000,000 x  100000 x 10000 x 1000 x 100 x 10 x 0.1 x 0.001 = 10¹⁷

So, combine 207360 x  10¹⁷

Hence "The standard form of the given numbers is 207360 × 10¹⁷".

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Answer:

55

Step-by-step explanation:

275/5=55

The image is formed behind the mirror, and the image is upright.

Given data: Object height, h = 3.0 cm Image distance, v = ? Object distance, u = -20.0 cmFocal length, f = -60.0 cmUsing the lens formula, the image distance is given by;1/f = 1/v - 1/u

Putting the values in the above equation, we get;1/-60 = 1/v - 1/-20

Simplifying the above equation, we get;v = -40 cm

This negative sign indicates that the image is formed behind the mirror, as the object is placed in front of the mirror.

Hence, the image is virtual and erect. Using magnification formula;M = -v/uWe get;M = -(-40) / -20M = 2Hence, the height of the image is twice the height of the object.

The height of the image is given by;h' = M × hh' = 2 × 3h' = 6 cm Now, let's draw the ray diagram:

Thus, the position of the image is -40.0 cm and the height of the image is 6 cm.

The image is formed behind the mirror, and the image is upright.

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Answer:

8888888888888888888888999998888

Answer:

1

Step-by-step explanation:

To test the hypothesis that the mean weight of two sheets is equal (μ1 - μ2) against the alternative that it is not, and assuming equal variances, we can use a two-sample t-test. The t-statistic can be calculated using the following formula:

t = (x1 - x2) / (s_p * sqrt(1/n1 + 1/n2))

where:

x1 and x2 are the sample means of the two sheets,

s_p is the pooled standard deviation,

n1 and n2 are the sample sizes.

The pooled standard deviation (s_p) can be calculated using the following formula:

s_p = sqrt(((n1 - 1) * s1^2 + (n2 - 1) * s2^2) / (n1 + n2 - 2))

where:

s1 and s2 are the sample standard deviations.

To calculate the t-statistic, we need the sample means, sample standard deviations, and sample sizes.

Once you provide the specific values for these variables, I can assist you in calculating the t-statistic to 3 decimal places.

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To test the hypothesis that the mean weight of the two sheets is equal (μ1 - μ2) against the alternative that it is not, we can use a paired t-test assuming equal variances. The paired t-test is used when we have paired data or measurements on the same subjects or objects.

The t-statistic for a paired t-test is calculated as follows:

t = (X1 - X2) / (s / √n)

where X1 and X2 are the sample means of the two samples, s is the pooled standard deviation, and n is the number of pairs.

Please provide the sample means, standard deviation, and sample size for each sheet so that we can calculate the t-statistic to 3 decimal places.

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The values of the parameters of the line segment are;

6) x = 9

7) PQ = 46

8) QR = 46

9) PR = 92

We are told that P, Q, and R are three collinear points.

We are told that PQ and QR are congruent.

We are given;

PQ = 6x - 8

QR = 10x - 44

Since PQ and QR are congruent, it means that;

6x - 8 = 10x - 44

10x - 6x = 44 - 8

4x = 36

x = 9

Thus;

PQ = 6(9) - 8 = 46

QR = 10(9) - 44 = 46

PR = PQ + PR = 46 + 46 = 92

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Answer:

4th answer is correct

Step-by-step explanation:

First, let us make x the subject.

\(\sf \frac{x+4}{4} =\frac{y+7}{7}\)

Use cross multiplication.

\(\sf 7(x+4)=4(y+7)\)

Solve the brackets.

\(\sf 7x+28=4y+28\)

Subtract 28 from both sides.

\(\sf 7x=4y+28-28\\\\\sf7x=4y\)

Divide both sides by 7.

\(\sf x=\frac{4y}{7}\)

Now let us find the value of x/4.

To find that, replace x with (4y/7).

Let us find it now.

\(\sf \frac{x}{4} =\frac{\frac{4y}{7} }{4} \\\\\sf \frac{x}{4} =\frac{4y}{7}*\frac{1}{4} \\\\\sf \frac{x}{4} =\frac{4y}{28}\\\\\sf \frac{x}{4} =\frac{y}{7}\)

By the dimensions , The volume of the triangular prism is 171 cubic inches.

To find the height, x, of a rectangular prism with a volume of 750 cm³, we need to know the dimensions of the prism. The volume of a rectangular prism is calculated by multiplying its length, width, and height.

If the length and width of the rectangular prism are represented by L and W, respectively,

we can set up the equation:

Volume = Length × Width × Height

750 cm³ = L × W × H

Since we don't have the values of L and W,

we cannot determine the specific height, x, without additional information.

Regarding the second question, the volume of a triangular prism is calculated by multiplying the area of the base by the height of the prism.

Given that the base of the triangular prism has an area of 18 square inches and the height is 9.5 inches,

we can calculate the volume as follows:

Volume = Base Area × Height

             = 18 in² × 9.5 in

               = 171 in³

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To find the probabilities of getting different outcomes when tossing two coins, we will perform the experiment 100 times and record the number of times each outcome occurs. Here are the results:

Outcome: 2 Heads

Number of occurrences: 36

Outcome: 2 Tails

Number of occurrences: 30

Outcome: Head and Tail

Number of occurrences: 34

To calculate the probabilities, we divide the number of occurrences of each outcome by the total number of experiments (100).

Probability of 2 Heads = Number of occurrences of 2 Heads / Total number of experiments = 36/100 = 0.36 or 36%

Probability of 2 Tails = Number of occurrences of 2 Tails / Total number of experiments = 30/100 = 0.30 or 30%

Probability of Head and Tail = Number of occurrences of Head and Tail / Total number of experiments = 34/100 = 0.34 or 34%

It's important to note that the probabilities obtained from this experiment are estimates based on the 100 trials performed. The actual probabilities may vary slightly in practice due to chance.

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We use import math when we want to use the sin function in the math library, x= math. sin(3.14).

Similar to #include header_file in C/C++, that how to import function in python. The import statement brings in code from one module into another program, where modules are files that contain python code, and modules are used to group related code in a program, instead of rewriting the code again, you can reuse the same code in different files. To import code from a module a parameter is to be followed import module name ( where the import word is the keyword and the module name is the module you want to import  ).

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Answer:

294 calories per 6 servings

You just divide to fine the unit rate

You want to find how many calories is 1 serving

294/6 is 49

So its 49 calories PER serving

Answer:

Step-by-step explanation:

I think it’s -5

Therefore, in either partial derivatives, we have u = 0 or v = 0.

The given information implies that two vectors u and v satisfy:

u * v = 0, where * denotes the dot product between vectors.

u X v = 0, where X denotes the cross product between vectors.

From the first equation, we know that the angle between u and v is either 90 degrees or 270 degrees. That is, u and v are orthogonal (perpendicular) to each other.

From the second equation, we know that the magnitude of the cross product u X v is equal to the product of the magnitudes of u and v multiplied by the sine of the angle between them. Since u and v are orthogonal, the angle between them is either 90 degrees or 270 degrees, which means that the sine of the angle is either 1 or -1. Therefore, we have:

|u X v| = |u| * |v| * sin(θ)

= 0

Since the magnitudes of u and v are non-negative, it follows that sin(θ) must be zero. This can only happen if the angle between u and v is either 0 degrees (i.e., u and v are parallel) or 180 degrees (i.e., u and v are anti-parallel).

In the case where u and v are parallel, we have:

u * v = |u| * |v| * cos(θ)

= |u|²

= 0

This implies that |u| = 0, which means that u = 0.

In the case where u and v are anti-parallel, we have:

u * v = |u| * |v| * cos(θ)

= -|u|²

= 0

This again implies that |u| = 0, which means that u = 0.

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Answer:

20/27

Step-by-step explanation:

By mathematical induction, we have proved that for any positive integer n, 4 evenly divides 11n - 7n.

WHat is Divisibility?

Divisibility is a mathematical property that describes whether one number can be divided evenly by another number without leaving a remainder. If a number is divisible by another number, it means that the division process results in a whole number without any remainder. For example, 15 is divisible by 3

To prove that 4 evenly divides 11n - 7n for any positive integer n, we can use mathematical induction.

Base Case:

When n = 1, 11n - 7n = 11(1) - 7(1) = 4, which is divisible by 4.

Inductive Step:

Assume that 4 evenly divides 11n - 7n for some positive integer k, i.e., 11k - 7k is divisible by 4.

We need to prove that 4 evenly divides 11(k+1) - 7(k+1), which is (11k + 11) - (7k + 7) = (11k - 7k) + (11 - 7) = 4k + 4.

Since 4 evenly divides 4k, and 4 evenly divides 4, it follows that 4 evenly divides 4k + 4.

By mathematical induction, we have proved that for any positive integer n, 4 evenly divides 11n - 7n.

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Answer:

3 more girls than boys.

Step-by-step explanation:

Let's change 4:5 to 4x(boys) and 5x(girls).

Since there are 27 students, the equation would be:

4x+5x=27

Then, you simplify the equation:

9x=27

x=3

We are not finished yet!

Since there is 4x boys and 5x girls,

do 4 times 3 which gets you 12 boys

and 5 times 3 which gets you 15 girls.

15 girls minus 12 boys is 3 more girls than boys!

Hope this helps :)

Answer:

Always computable as rightmost x value minus leftmost value: 4 - (-8) = 12

Answer:

c

Step-by-step explanation:

if there is a decimal in the equation then it is always going to end up a decimal

To generate x from a random number r, we can use the inverse of f(x).

The inverse of f(x) is 6x. So, the equation for generating x is x = 6r. If we substitute r with a random number between 0 and 1, we can generate a corresponding value of x. For example, if r = 0.5, then x = 6(0.5) = 3. This equation can be useful in probability and statistics when we need to generate random values for a given distribution.
To find the equation for generating x using the random number r and the given function f(x) = x/6, you'll want to rearrange the equation to solve for x. To do this, you can follow these steps:
1. Rewrite the function: f(x) = x/6
2. Replace f(x) with r: r = x/6
3. Isolate x by multiplying both sides by 6: x = 6r
So, the equation for generating x using the random number r is x = 6r.

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