9x+1-x^2
write in standard form

Answer:9x-10=2x+1

Step-by-step explanation: i think.

Answer:

6x - Goes both into 18x^2 and 6x evenly.

The sum of the first 18 terms of the series -100 + 122 - 148. 84 + 181. 5848–… is option (C) -15840.45

To find the sum of the first 18 terms of the given series, we need to first identify the pattern in the series.

The given series is: -100 + 122 - 148.84 + 181.5848 - ...

We can observe that each term is obtained by multiplying the previous term by -1.22 and then adding a constant. In other words, if the nth term is represented by Tn, then:

Tn = (-1.22) × T(n-1) + C

where C is a constant.

To find the constant C, we can use the first term of the series, which is -100:

-100 = (-1.22) × T(0) + C

where T(0) represents the 0th term of the series, which is not given. However, we can find T(0) by dividing the first term by (-1.22):

T(0) = -100 / (-1.22) = 81.9672

Substituting this value of T(0) in the above equation, we get:

-100 = (-1.22) × 81.9672 + C

C = 100 + 1.22 × 81.9672 = 200.2046

Therefore, the nth term of the series can be represented as:

Tn = (-1.22) × T(n-1) + 200.2046

Using this formula, we can find the sum of the first 18 terms of the series as follows:

S18 = T1 + T2 + T3 + ... + T18

= -100 + 122 - 148.84 + 181.5848 - ... + (-1)^17 × T(17)

= -100 + 122 - 148.84 + 181.5848 - ... + (-1)^17 × (-1.22)^17 × T(0) + (-1)^17 × 200.2046

= -100 + 122 - 148.84 + 181.5848 - ... - 1.3579774 × 10^8 + 200.2046

= -15840.45

Therefore, the correct option is (3) -15840. 45

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To create a 240-pound mixture with 8% protein, you would need 80 pounds of soybean meal and 160 pounds of cornmeal.

To determine the amounts of soybean meal and cornmeal needed to create a 240-pound mixture with 8% protein, we can set up a system of equations based on the protein content.

Let's assume x represents the amount of soybean meal (in pounds) and y represents the amount of cornmeal (in pounds) in the mixture.

We know the following information:

1. Soybean meal is 12% protein, which means 0.12x pounds of protein come from the soybean meal.

2. Cornmeal is 6% protein, which means 0.06y pounds of protein come from the cornmeal.

3. The total weight of the mixture is 240 pounds.

4. The resulting mixture should have 8% protein, which means the protein content is 0.08 times the total weight of the mixture.

Based on the above information, we can set up the following equations:

Equation 1: x + y = 240 (total weight equation)

Equation 2: 0.12x + 0.06y = 0.08(240) (protein content equation)

Simplifying Equation 2:

0.12x + 0.06y = 19.2

Now we can solve the system of equations to find the values of x and y. Using the substitution method, we can solve Equation 1 for x:

x = 240 - y

Substituting this value into Equation 2:

0.12(240 - y) + 0.06y = 19.2

28.8 - 0.12y + 0.06y = 19.2

-0.06y = 19.2 - 28.8

-0.06y = -9.6

Dividing by -0.06:

y = -9.6 / -0.06

y = 160

Now we can substitute this value of y back into Equation 1 to find x:

x + 160 = 240

x = 240 - 160

x = 80

Therefore, to create a 240-pound mixture with 8% protein, you would need 80 pounds of soybean meal and 160 pounds of cornmeal.

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Answer:

86.23

Step-by-step explanation:

$5.29*16.3=86.227

86.227 exact -> 86.23 real

Answer:multiply 5.29 by 16.3

Step-by-step explanation:

The answer is about 86

The momentum of a proton would be:

(a) For particle moving with speed 0.010c

p = 5.016 × 10^(-21) kgms^{-1}

p = 9.398 MeV/c

(b) For particle moving with speed 0.50c

p = 2.89 × 10^(-19) kgms^{-1}

p = 541.5 MeV/c

(c) For particle moving with speed 0.90c

p = 23.73 × 10^(-19) kgms^{-1}

p = 4446.35 MeV/c

For given question,

We need to calculate the momentum of a proton moving with a given speed.

We know that, the equation for relativistic momentum is,

\(p=\frac{mv}{\sqrt{1-\frac{v^2}{c^2} } }\)

We know, the mass of proton (m) = \(1.67\times 10^{-27}\) kg

(a) For particle moving with speed 0.010c

v = 0.010c

the momentum of a proton would be,

\(\Rightarrow p=\frac{(1.67\times 10^{-27}kg)\times (0.010\times 3\times 10^8)\frac{m}{s} }{\sqrt{1-\frac{0.01^2~c^2}{1^2~c^2} } }\\\\\Rightarrow p=5.016\times 10^{-21}~~kgms^{-1}\)

(b) For particle moving with speed 0.50c

v = 0.50c

the momentum of a proton would be,

\(\Rightarrow p=\frac{(1.67\times 10^{-27}kg)\times (0.50\times 3\times 10^8)\frac{m}{s} }{\sqrt{1-\frac{0.5^2~c^2}{1^2~c^2} } }\\\\\Rightarrow p=2.89\times 10^{-19}~~kgms^{-1}\)

(c) For particle moving with speed 0.90c

v = 0.90c

the momentum of a proton would be,

\(\Rightarrow p=\frac{(1.67\times 10^{-27}kg)\times (0.90\times 3\times 10^8)\frac{m}{s} }{\sqrt{1-\frac{0.90^2~c^2}{1^2~c^2} } }\\\\\Rightarrow p=23.73\times 10^{-19}~~kgms^{-1}\)

Now, we need to convert answers into MeV/c

1 MeV = 1.6 × 10^(-13) kg.m²/s²

⇒ 1  kg.m²/s² = 625 × 10^(10) MeV

1 c = 299,792,458 m/s

⇒ 1 m/s = 3.3356E-9 c

So, 1  kg. m/s = 1.8737259e+21 MeV/c

(a) For p = 5.016 × 10^(-21) kgms^{-1}

⇒ p = 5.016 × 10^(-21) × 1.8737259e+21

⇒ p = 9.398 MeV/c

(b) For p = 2.89 × 10^(-19) kgms^{-1}

⇒ p = 2.89 × 10^(-19) × 1.8737259e+21

⇒ p = 541.5 MeV/c

(c) For p = 23.73 × 10^(-19) kgms^{-1}

⇒ p = 23.73 × 10^(-19) × 1.8737259e+21

⇒ p = 4446.35 MeV/c

Therefore, the momentum of a proton would be:

(a) For particle moving with speed 0.010c

p = 5.016 × 10^(-21) kgms^{-1}

p = 9.398 MeV/c

(b) For particle moving with speed 0.50c

p = 2.89 × 10^(-19) kgms^{-1}

p = 541.5 MeV/c

(c) For particle moving with speed 0.90c

p = 23.73 × 10^(-19) kgms^{-1}

p = 4446.35 MeV/c

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Step-by-step explanation:

2x-4 > 8 or 3x-1 < -10

Grouping the like terms

2x > 8 +4 or 3x < -10 +1

2x > 12 or 3x < -9

2x > 12 3x < -9

2 2 3 3

x > 6 or x < -3

The exact solution of this equation involves solving a quadratic equation, which may not result in a simple integer value for x.

To find the point (x, y) on the function f(x) = 6 - 7x that is closest to the point (-10, -4), we need to minimize the distance between the two points.

The distance between two points (x1, y1) and (x2, y2) is given by the formula:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

In this case, we want to minimize the distance between the point (-10, -4) and any point on the function f(x) = 6 - 7x. So we can set up the distance equation:

d = sqrt((-10 - x)^2 + (-4 - (6 - 7x))^2)

To find the point (x, y) that minimizes the distance, we can find the value of x that minimizes the distance equation. Let's differentiate the distance equation with respect to x and set it equal to zero to find the critical point:

d' = 0

Differentiating and simplifying the equation, we get:

(-10 - x) + (-4 - (6 - 7x))(-7) = 0

Solving this equation will give us the value of x at the closest point. Plugging this x-value into the function f(x) = 6 - 7x will give us the corresponding y-value.

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Answer:

4

Step-by-step explanation:

-1, 3, 7, 11, 15 all have 4 for the difference.

the answer

155

324

5/9 (87/3(1/12)= 155/324

Answer: B

Step-by-step explanation:

If you use slope-intercept form, you can see that B uses the equation y = 5x - 4, and you can also see that it is linear since it is proportional. The only coordinate plane that has a nonlinear line is D.

Answer:

12 miles

Step-by-step explanation:

Total miles = Length of trail ×

Number of times she rode

Total miles = 3 miles × 4 times

Total miles = 12 miles

Mika traveled a total of 12 miles.

Answer:

see derivation below

Step-by-step explanation:

Show that:

( sec(t) - cosec(t) ) ( 1 + tan(t) + cot(t) ) =

sec(t) tan(t) - cosec(t) cot(t)

Some trigonometric definitions used:

tan(t) = sin(t)/cos(t)

cot(t) = cos(t)/sin(t)

sec(t) = 1/cos(t)

csc(t) = 1/sin(t)

some trigonometric identities used:

sin^2(t) + cos^2(t) = 1 ......................(1)

rewrite left-hand side in terms of sine and cosine

(1/cos(t) - 1/sin(t) ) ( 1 + sin(t)/cos(t) + cos(t)/sin(t) )

Simplify using common denominator sin(t)cos(t)

= ( (sin(t) - cos(t))/(sin(t)*cos(t)) ) * ( ( sin(t)cos(t) + sin^2(t) + cos^2(t)) / ( sin(t)cos(t) ) )

= ( sin(t) -cos(t) ) * (1 + sin(t)cos(t) ) / ( sin^2(t) cos^2(t) )   ...... using (1)

Expand by multiplication

= ( sin(t) -cos(t) + sin^2(t)cos(t) - sin(t)cos^2(t) ) / ( sin^2(t) cos^2(t) )

Rearrange by factoring out sin(t) and cos(t) in numerator

= ( sin(t) (1-cos^2(t) - cos(t)(1-sin^2(t) )  / ( sin^2(t) cos^2(t) )

= ( sin^3(t) - cos^3(t) ) /( sin^2(t) cos^2(t) )   .........................using (1)

Cancel common factors

= sin(t)/(cos^2(t)) - cos(t)/(sin^2(t))

Rewrite using trigonometric definitions

= sec(t)tan(t) - csc(t)cot(t)   as in Right-Hand Side

The 95% confidence interval for the population proportion is approximately 0.3573 to 0.7141. None of the given options (A, B, C, D) match the calculated interval.

To construct a confidence interval for the population proportion, we can use the formula:

Confidence Interval = sample proportion ± critical value * standard error

Where the sample proportion (p-hat) is calculated by dividing the number of successes (x) by the total sample size (n). In this case, n = 56 and x = 30, so the sample proportion is 30/56 = 0.5357.

The critical value is determined based on the desired degree of confidence. For a 95% confidence level, which is given in this case, the critical value can be obtained from a standard normal distribution. For a two-tailed test, the critical value is approximately 1.96.

The standard error is calculated by taking the square root of (p-hat * (1 - p-hat) / n). Plugging in the values, we get sqrt(0.5357 * (1 - 0.5357) / 56) = 0.0907.Now, we can construct the confidence interval:Confidence Interval = 0.5357 ± 1.96 * 0.0907Calculating the upper and lower bounds of the interval:

Lower bound = 0.5357 - (1.96 * 0.0907) ≈ 0.3573

Upper bound = 0.5357 + (1.96 * 0.0907) ≈ 0.7141\

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Answer:

Translation is the sliding of an object such that its position changes but its size and shape are unchanged. It's basically just moving a polygon around on a plane. ... Here's our quadrilateral, which is a four-sided polygon. We're going to translate this polygon four units to the right and five units up.

The value of dfbetween in the analysis of variances is 2. Thus option D is correct option.

According to the statement

we have given that the df total = 29 and df within = 27. And we have to find the value of the df between.

So, For this purpose, we know that the

Analysis of variance (ANOVA) is an analysis tool used in statistics that splits an observed aggregate variability found inside a data set into two parts.

So, Df between values are the values between the value of dftotal and dfwithin.

Here df total = 29 and df within = 27

So, df between = df total - df within

Substitute the values in it then

df between = df total - df within

df between = 29 - 27

df between = 2.

So, The value of dfbetween in the analysis of variances is 2. Thus option D is correct option.

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Answer:

it would be the same since its ON the x-axis ( the point does not change)

Step-by-step explanation:

Answer:

x= 11

Step-by-step explanation:

\( \frac{2(x + 5)}{4} = 8\)

Simplifying the fraction:

\( \frac{x + 5}{2} = 8\)

Multiply both sides by 2:

x+ 5= 8(2)

x+ 5= 16

Subtract both sides by 5:

x= 16 -5

x= 11

The decryption of ciphertext "gbshbjuhbwxhzhxwhu"
The function f: Z26→Z26 is defined as f(x) = 3x5−9x3−5x+1(mod 26).The decryption is calculated as f−1(y)=(7y+15)(−3)(mod26)Step-by-step solution: Using the formula for decryption:
f-1(y) = (7y+15)(-3)(mod 26)
Calculating the decryption:
=> f-1(g) = (7 * 6 + 15) * (-3) = -159= -159 + 4 * 26 = 49
=> f-1(b) = (7 * 1 + 15) * (-3) = -72= -72 + 3 * 26 = 6=> f-1(s) = (7 * 18 + 15) * (-3) = -333= -333 + 13 * 26 = 55
=> f-1(h) = (7 * 7 + 15) * (-3) = -138= -138 + 6 * 26 = 24
=> f-1(j) = (7 * 9 + 15) * (-3) = -198= -198 + 8 * 26 = 10
=> f-1(u) = (7 * 20 + 15) * (-3) = -483= -483 + 18 * 26 = 15
=> f-1(h) = (7 * 7 + 15) * (-3) = -138= -138 + 6 * 26 = 24
=> f-1(b) = (7 * 1 + 15) * (-3) = -72= -72 + 3 * 26 = 6
=> f-1(w) = (7 * 22 + 15) * (-3) = -534= -534 + 20 * 26 = 46
=> f-1(x) = (7 * 23 + 15) * (-3) = -561= -561 + 22 * 26 = 39
=> f-1(h) = (7 * 7 + 15) * (-3) = -138= -138 + 6 * 26 = 24
=> f-1(x) = (7 * 23 + 15) * (-3) = -561= -561 + 22 * 26 = 39
=> f-1(w) = (7 * 22 + 15) * (-3) = -534= -534 + 20 * 26 = 46
=> f-1(h) = (7 * 7 + 15) * (-3) = -138= -138 + 6 * 26 = 24
=> f-1(u) = (7 * 20 + 15) * (-3) = -483= -483 + 18 * 26 = 15
Decrypted text: gbshbjuhbwxhzhxwhu → gszwjeitjpkotixibq

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volume= 16/3, A coordinate plane is a graphing and description system for points and lines. A vertical (y) axis and a horizontal (x) axis make up the coordinate plane. There are four quadrants in the coordinate plane. The point where these lines connect is called the origin (0, 0).

limits

z= 0 to z = 4-y-2x

y= 0 to y = 4- 2x

x= 0 to x= 2

volume

v= \(\int\limits^2_0 \int\limits^4_0 \int\limits^4_0 dzdydx\)

v= \(\int\limits^2_0 \int\limits^4_0 (4-y-2x) dydx\)

v= \(\int\limits^2_0 ( 4y- y^{2} / 2 - 2xy) ^4^-^2^x _0\)

dx= \(\int\limits^2_0 [ 16-8x - 16+ 4x^2 - 16x / 2 - 8x+ 4x^2 ] dx\)

v= \(\int\limits^2_0 [ 8+ 2x^2- 8x] dx\\\)

= [ 8x + 2x^3 / 3 - 8x^2 / 2 ] ^2_0

= [16+ 16/3- 16]

v= 16/3

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Complete Question

Question: Sketch The Tetrahedron Enclosed By The Coordinate Planes And The Plane 2x+Y+Z=4. Use A Triple Integral To Find The Volume Of The tetrahedron

An angle in standard position is an angle whose vertex is at the origin and whose initial side is on the positive x-axis. The measure of an angle in standard position is the angle between the initial side and the terminal side.

An angle with a measure of 180° is a straight angle. A straight angle is an angle that measures 180°. Straight angles are formed when two rays intersect at a point and form a straight line.

The terminal side of an angle with a measure of 180° lies on the negative x-axis. This is because the angle goes from the positive x-axis to the negative x-axis as it rotates counterclockwise from the initial side.

The angle measure is 180°, and the angle is a straight angle.

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Answer:

X / 4 + 22

Step-by-step explanation:

22 more means we add 22. Then, we take x as our variable, in this case, it is "a number". We divide x by 4, and then we add 22. x / 4 + 22.

Answer:

its 1

Step-by-step explanation:

1/1=1

The explanation of the steps that Marlena used to solve the given equation is as follows;

step1: 3x+5=-10 ( When X crosses the equal to sign it becomes a positive X.)

step 2: 3x= -15(When 5 crosses the equal to sign it becomes a negative 5)

step 3 : X = -5(when -15 is divided by 3)

The equation that was given = 2x+5 = -10-x

Bring the like terms together;

2x+X = -10-5

Note that when X crosses the equal to sign it becomes a positive X.

3x = -15

Divide through using 3 as a common factor;

X = -15/3 = -5

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Answer:

D- 5hrs

Step-by-step explanation:

If the family can hike 3 miles per hour,
for 15 miles: 15/3 = 5 hours.

Every hour they cover 3 miles per hour, so to cover 15 miles, they will take 5 hours

Answer:

D. 5 hours

Step-by-step explanation:

3 miles per 1 hour so 3/1

15 miles per x hours so 15/x

3/1 = 15/x or 3 = 15/x

get x by itself so

3 divided by 3 and 15 divided by 3

x = 5 hours

Answer:

2160

Step-by-step explanation:

18/4= 4.5

480km * 4.5= 2160

Answer:

2160

Step-by-step explanation:

Answer:

3x = 8

Step-by-step explanation:

combine all the #x's on the left side

Answer: x= -8

Step-by-step explanation:

-11x=8-2x-8x

-11x=8-10x

-11x+10x=8-10x+10x

-x=8

-x/-1 = 8/-1

The Weibull distribution is a continuous probability distribution. It is often used in reliability engineering to model time-to-failure data.

A Weibull distribution is described by two parameters, the shape parameter (B) and the scale parameter (λ).The Weibull probability density function is given by

f(x) = (B / λ) * (x / λ)B-1 * exp(- (x / λ)B) where x > 0, B > 0, and λ > 0.(a) P(X < 10,000)

Given X has a Weibull distribution with B = 0.2 and λ = 100 hours

We have to find P(X < 10,000)P(X < 10,000) = F(10,000)

where F is the cumulative distribution function of X.

F(x) = 1 - exp(-(x/λ)B)

Substituting the values of B and λ, we get

F(x) = 1 - exp(-((x/100)^0.2))

Now, substituting x = 10,000 in F(x), we get

P(X < 10,000) = F(10,000) = 1 - exp(-((10,000/100)^0.2))= 1 - exp(-1)= 0.6321

Therefore, P(X < 10,000) = 0.6321

(b) P(X > 5000)

Given X has a Weibull distribution with B = 0.2 and λ = 100 hours

We have to find P(X > 5000)

P(X > 5000) = 1 - P(X ≤ 5000)

P(X ≤ 5000) = F(5000) where F is the cumulative distribution function of X.

F(x) = 1 - exp(-(x/λ)B)

Substituting the values of B and λ, we get

F(x) = 1 - exp(-((x/100)^0.2))

Now, substituting x = 5000 in F(x), we get

P(X ≤ 5000) = F(5000) = 1 - exp(-((5000/100)^0.2))= 0.3935

Therefore,P(X > 5000) = 1 - P(X ≤ 5000) = 1 - 0.3935= 0.6065

(c) E(X) and V(X)

Given X has a Weibull distribution with B = 0.2 and λ = 100 hours

The expected value of X, E(X) is given by

E(X) = λ * Γ(1 + 1/B) where Γ is the gamma function.

Substituting the values of λ and B, we get

E(X) = 100 * Γ(1 + 1/0.2)

Using the value of Γ(6) = 120, we get

E(X) = 100 * 120 = 12,000 hours

The variance of X, V(X) is given by

V(X) = λ^2 * (Γ(1 + 2/B) - (Γ(1 + 1/B))^2) where Γ is the gamma function.

Substituting the values of λ and B, we get

V(X) = 100^2 * (Γ(1 + 2/0.2) - (Γ(1 + 1/0.2))^2)

Using the value of Γ(1.4) = 0.886, we get

V(X) = 10000 * (6.854 - (1.768)^2)= 55,865.6

Therefore,E(X) = 12,000 hours and V(X) = 55,865.6.

The probability that X is less than 10,000 is 0.6321. The probability that X is greater than 5000 is 0.6065. The expected value of X is 12,000 hours, and the variance of X is 55,865.6.

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Answer:

The slope is 3 and the y-intercept is -5

If you need to y-intercept in coordinate form, then it's (0, -5)

Step-by-step explanation:

y = mx + b, the m is the slope and the b is the y-intercept

Answer:slope is 3. Y-intercept is 5

Step-by-step explanation: y=mx+b, m is slope and b is y-intercept