g(x)=5x g(x)=15 what is the value of x

Answer:

24

Step-by-step explanation:

You should draw a picture to let everything fall into place:

.................2x.......................

N ----x+7------ O ---10---- P

Then you can easily see that

x+7 + 10 = 2x

17 = 2x - x

so x = 17

NP = 2x = 2*17 = 34

NO = x+7 = 17+7 = 24

OP = 10

NO + OP = 24 + 10 = 34 = NP

To find the mean and standard deviation of the corrected pH measurements, we can use the following formulas:

Corrected Mean = (Original Mean + Correction Factor) * Multiplication Factor

Corrected Standard Deviation = Original Standard Deviation * Multiplication Factor

The correction factor is 0.3 and the multiplication factor is 1.4. Therefore, the corrected mean is:

Corrected Mean = (4.8 + 0.3) * 1.4 = 7.14

And the corrected standard deviation is:

Corrected Standard Deviation = 1.2 * 1.4 = 1.68

Therefore, the mean of the corrected pH measurements is 7.14 and the standard deviation is 1.68.

In summary, to find the corrected mean and standard deviation of the pH measurements, we need to add the correction factor (0.3) to the original mean, multiply the result by the multiplication factor (1.4), and multiply the original standard deviation by the multiplication factor. The corrected mean is 7.14 and the corrected standard deviation is 1.68.

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Answer:

domain: all real numbers

range: all real numbers greater than -2

Step-by-step explanation:

The domain is all the possible numbers that x, or the inputs to the function, can be. It looks like this function goes on forever both left and right, so its domain is all real numbers.

The range is all the possible numbers that y, or the outputs to the function, can be. It looks like this function starts growing at a y-value of -2 and then goes on forever, so its range is all real numbers greater than -2.

Hopefully that was helpful! :)

Answer:

yes

Step-by-step explanation:

9514 1404 393

Answer:

  ∠4 = 145°

  ∠5 = ∠6 = 35°

Step-by-step explanation:

Angles 5 and 35° are corresponding angles, so are congruent.

Angles 5 and 6 are vertical angles, so are congruent.

Angles 4 and 35° are a linear pair, so are supplementary.

  ∠4 = 180° -35°

  ∠4 = 145°

  ∠5 = ∠6 = 35°

Answer:4

Step-by-step explanation:22-4=18-4=14-4=10-4=6=2

Thus, the test for homogeneity follows the same procedures as the test for independence because the assumptions for performing the chi-square test for independence and chi-square test for homogeneity are the same.

The procedures for the chi-square test of homogeneity are the same as for the chi-square test of independence. The data is different for both tests. Tests of independence are used to determine whether there is a significant relationship between two categorical variables from the same population. One population is segmented based on the value of two variables. So there will be a column variable and a row variable.

The chi-square test of homogeneity of proportions can be used to compare population proportions from two or more independent samples, determining whether the frequency counts are distributed identically among different populations.

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The result is not statistically significant.

To test the hypothesis is the mean SAT score is less than 1520 at 5% significance level.

The null hypothesis is

H₀ : μ ≥ 1520

The alternative hypothesis is

Hₐ : μ ≤ 1520

then the test statistic is,

t = (x - μ)/(s/√n)

 = (1501 - 1520)/(53/√20)

t = - 1.603

The t-test statistic is - 1.603.

Degree of freedom n - 1 = 20 - 1 = 19

Hence the t-critical value is -1.792.

The conclusion is that the t value corresponds to sample statistics is not fall in the critical region, so the null hypothesis is not rejected at 5% level of significance. There is insignificance evidence indicates that the mean SAT score is less than 1520.

The result is not statistically significant.

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Answer:

C is the correct graph.

Step-by-step explanation:

Since (0, 0) satisfies the inequality, we draw a dashed line and then shade in the region that has the origin.

Answer:

32

Step-by-step explanation:

The number of rabbits that must be sold if they want to be fed for 15 more days is 150 rabbits.

In a farm, there is food to feed 300 rabbits for 60 days.

Let x be the number of rabbits that must be sold if they want to be fed for 15 more days.

From the given data, we have the following equation:

300 * 60 = (300 - x) * 75

The equation represents the amount of food for 300 rabbits that can last 60 days is equal to the amount of food for 300 - x rabbits that can last 75 days.

Solving for x, we get:

x = 150 rabbits

Hence, the number of rabbits that must be sold if they want to be fed for 15 more days is 150 rabbits.

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Answer: x= 7191.509 ft

Step-by-step explanation:

Sin9/1 = 1125/x

X/1 = 1125/sin9

The first three nonzero terms of the Taylor polynomial approximation for the given initial value problem are: x(t) ≈ 1

To find the first three nonzero terms in the Taylor polynomial approximation for the given initial value problem, we can use the Taylor series expansion formula:

x(t) = x(0) + x'(0) * t + (1/2!) * x''(0) * t^2 + ...

Given the initial value problem 2x'' + 4tx = 0, and initial conditions x(0) = 1, x'(0) = 0, let's find the first three terms:

1. x(0) = 1 (Initial condition)
2. x'(0) = 0 (Initial condition)
3. To find x''(0), we can substitute the initial conditions into the initial value problem: 2x''(0) + 4*0 = 0, which simplifies to 2x''(0) = 0, and finally x''(0) = 0.

Now, substitute these values into the Taylor series expansion formula:

x(t) = 1 + 0 * t + (1/2!) * 0 * t^2 + ...

Since x'(0) and x''(0) are both 0, the first three nonzero terms of the Taylor polynomial approximation for the given initial value problem are: x(t) ≈ 1

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Answer:

2/5

Step-by-step explanation:

If she has 3 chews and 2 mints left, the probability that she picks a mint is 2/5 as they are only 2 mints and 3 chews and 2+3 = 5. So the awnser is 2/5.

Answer:

3%

Step-by-step explanation:

He starts off with 5000 and ends up with 5800. To summarise:

Year 0: 5000

Year 1: ?

Year 2: ?

Year 3: ?

Year 4: ?

Year 5: 5800

As it is compound interest, we know that the value at the end of the past year is being multiplied by a certain number each year, which is the interest rate.

Therefore, we are multiplying by 'x' each year.

So: 5000 x \(x\\\) x \(x\\\) x \(x\\\) x \(x\\\) x \(x\\\) = 5800

overall: 5000\(x^5\) = 5800

we can now solve this equation:

divide by 5000: \(x^5\)  = \(\frac{29}{25}\)

5th root: x = 1.03012....

Therefore the value is being multiplied by 1.03 each year, which is an increase of 3%

I hope this helps, feel free to ask if you have any questions :)

The quotient for the given expression is 8x^2-8x+14 and the remainder is -19.  The solution has been obtained using the method of long division of polynomial.

What is polynomial long division?

A formula for dividing one polynomial by another of the same degree or lower is known as a long division polynomial. Like with long division of numbers, the components of long division of polynomials include the divisor, quotient, dividend, and remainder.

Using Polynomial Long Division,

Dividing :  8x^3 + 6x - 5 ("Dividend")

By         :    x+1   ("Divisor")

Dividend              8x^3  +  0x^2  +  6x  -  5

- divisor  * 8x^2   8x^3  +  8x^2        

Remainder                     -  8x^2   +  6x  -  5

- divisor  * (-8x)               -  8x^2   -  8x    

Remainder                                       14x  -  5

- divisor  * 14                                     14x +  14

Remainder                                               - 19

Quotient :  8x^2-8x+14

Remainder:  -19

Hence, the quotient for the given expression is 8x^2-8x+14 and the remainder is -19.

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Answer: (y - 7) = M*(x - 4)

Step-by-step explanation:

Point-slope form is written as:

y - y1 = M*(x - x1)

where M is the slope, and the point is (x1, y1)

In this case we only know the point, so we can write this as:

(y - 7) = M*(x - 4)

Where the value of the slope is not known, then we have infinite possible lines defined in that equation

With a credit card balance of $17,426, a minimum monthly payment of $461, and an interest rate of 15.5%, we need to calculate the number of years it will take to pay off the card without adding any additional debt.

To determine the time required to pay off the credit card, we consider the monthly payment and the interest rate. Each month, a portion of the payment goes towards reducing the balance, while the remaining balance accrues interest.

To calculate the time needed for repayment, we track the decreasing balance each month. First, we determine the interest accrued on the remaining balance by multiplying it by the monthly interest rate (15.5% divided by 12).

We continue making monthly payments until the remaining balance reaches zero. By dividing the initial balance by the monthly payment minus the portion allocated to interest, we obtain the number of months needed for repayment. Finally, we divide the result by 12 to convert it into years.

In this scenario, it will take approximately 3.81 years to pay off the credit card (17,426 / (461 - (17,426 * (15.5% / 12))) / 12).

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Answer:

Your answer should be 4:9

Step-by-step explanation:

Good luck.

Step-by-step explanation:

Dogs: 12% of 45= 5.4

Cats: 24% of 45= 10.8

Fish: 36% of 45= 16.2

Other: 28% of 45= 12.6

To predict the number of situps a person who watches 13.5 hours of TV can do, we can use the given regression equation y = ax + b, where 'a' and 'b' are the coefficients and 'x' is the hours of TV watched.

Given:
a = -1.077
b = 30.98
x = 13.5

Step 1: Substitute the given values into the regression equation:
y = (-1.077)(13.5) + 30.98

Step 2: Perform the calculations:
y = (-14.5395) + 30.98

Step 3: Add the values:
y = 16.4405

Since we need the result to one decimal place, we can round it off to:
y ≈ 16.4

So, a person who watches 13.5 hours of TV per day can do approximately 16.4 situps.

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The measure of arc BC in circle E, inscribed in triangle BCD with angle DBC measuring 51 degrees, is 102°.

In a circle, an inscribed angle is equal to half the measure of its intercepted arc. Since BD is a diameter, angle DBC is a right angle, and the intercepted arc BC is a semicircle. Therefore, the measure of arc BC is 180°.

However, we are given that angle DBC measures 51 degrees. In an inscribed triangle, the measure of an angle is equal to half the measure of its intercepted arc. So, angle DBC is half the measure of arc BC, which means arc BC measures 2 times angle DBC, or 2 * 51° = 102°.

Hence, the measure of arc BC is 102°.

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Inscribed circle E is formed by triangle BCD, with BD as the diameter. DC and CB are secants, and angle DBC is 51 degrees. We need to find the measure of arc BC.

When a triangle is inscribed in a circle, the measure of an angle formed by two secants that intersect on the circle is half the measure of the intercepted arc.

In this case, angle DBC is 51 degrees, which means the intercepted arc BC has twice that measure. Therefore, the measure of arc BC is 2×51=102 degrees.

To understand why this relationship holds, we can use the Inscribed Angle Theorem. According to this theorem, an angle formed by two chords or secants that intersect on a circle is equal in measure to half the measure of the intercepted arc.

In our scenario, angle DBC is formed by secants DC and CB, and it intersects the circle at arc BC. According to the Inscribed Angle Theorem, angle DBC is equal to half the measure of arc BC.

Hence, if angle DBC is 51 degrees, the measure of arc BC is twice that, which gives us 102 degrees.

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Answer

Distance = 4.1 km

Explanation

Let the distance between Jane's house from school be x

The distance can be calculated using pythagora's theorem

Therefore, the distance between Jane's house from school is 4.1 km

The required arc length of sector VW is 8\(\pi\).

Given that, in a circle U, radius  UV = 9 and  central angle of sector m∠VUW = 160°.

To find the arc length of sector VW, we can use the formula:

Arc length = (central angle / 360) x circumference of the circle.

First,  find the circumference of the circle by the  formula for the circumference of a circle is given by:

Circumference = 2 x \(\pi\) x radius.

Circumference = 2 x \(\pi\) x 9 = 18π.

Now, let's find the arc length of sector VW using the central angle of 160 degrees:

Arc length = (160/360) x 18π

Arc length = (4/9) * 18\(\pi\) = 8\(\pi\).

Therefore, the arc length of sector VW is 8\(\pi\).

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A unit of measurement is a recognised and accepted standard for calculating other amounts of the same kind. It has already been decided by law or tradition.

One of the two widely used measuring systems in the United States is the metric system, which is frequently employed as the major measurement method in many other nations.

The fundamental units in this system of measurement include:

Meter for length measurements

Kilogram for mass measurement

Second for timekeeping

Liters serve as the standard measurement unit for liquid capacity, which is also known as volume.

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Answer:

-21 is the correct answer . Hope you like my answer.

Bayesian regression with undirected network predictors offers a powerful framework for analyzing brain connectome data and gaining a deeper understanding of the relationships between brain connectivity and various outcomes of interest.

Bayesian regression with undirected network predictors refers to a statistical modeling approach that combines Bayesian inference principles with regression analysis when the predictors are represented as an undirected network. This approach is particularly useful when dealing with data that has a network structure, such as brain connectome data.

In the context of brain connectome data, a connectome represents the structural or functional connectivity between different regions or nodes of the brain. Each node can be seen as a predictor variable, and the relationships between nodes are represented by edges in the network.

Bayesian regression allows for flexible modeling of the relationships between predictors and the response variable, taking into account uncertainty in the parameter estimates. By incorporating the network structure of the predictors, Bayesian regression with undirected network predictors can capture complex dependencies and interactions among brain regions, providing insights into the relationships between brain connectivity and the outcome of interest.

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