Select the correct answer.
Consider this absolute value function.



If function f is written as a piecewise function, which piece will it include?

Answer:

0.5?

Step-by-step explanation:

The equation that best represents the set-up is (d) 9^2 + x^2 = 16^2

The complete question is in the image

The value of x is calculated using the following Pythagoras theorem

16^2 = x^2 + 9^2

Rewrite as:

9^2 + x^2 = 16^2

Hence, the equation that best represents the set-up is (d) 9^2 + x^2 = 16^2

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A spool of thread measuring 8 3/4 inches long and 4 inches wide can be cut into 2 1/7 inch pieces.

In light of the conditions stated, come up with: \($\frac{8 \frac{3}{4}}{2 \frac{1}{7}}$\) To improper fractions, change the mixed numbers to: \($\frac{\frac{35}{4}}{\frac{15}{7}}$\) Multiply the reciprocal of a fraction to get its division: \($\frac{35}{4} \times \frac{7}{15}$\)

Mark this common element as a no-go: Multiplying \($\frac{7}{4} \times \frac{7}{3}$\) Mark the common element as absent: Multiplying \($\frac{7 \times 7}{4 \times 3}$\) . Put the following in one fraction : \($\frac{49}{12}$\) . The product or quotient should be

calculated.Find the biggest number that is greater than \($\frac{49}{12}$\) and less than or equal to it . A spool of thread measuring 8 3/4 inches long and 4 inches wide can be cut into 2 1/7 inch pieces.Otherwise, you or a device will need to count 127 turns (the irreducible repeat, independent of thread pitch), after which the half nut must be closed.

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6

−

x

=

5

x

+

30

6

-

x

=

5

x

+

30

Move all terms containing

x

x

to the left side of the equation.

Tap for more steps...

6

−

6

x

=

30

6

-

6

x

=

30

Move all terms not containing

x

x

to the right side of the equation.

Tap for more steps...

−6x=24-6x= 24 Divide each term by −6-6 and simplify. x=−4

The function f(x) = x^4 + bx^2 + 1 has an inflection point at x = 0,

What is the inflection point?

An inflection point of a function is a point on the graph of the function where the concavity (curvature) of the graph changes. In other words, an inflection point is a point where the curve switches from being concave up to concave down, or vice versa.

The function f(x) = x^4 + bx^2 + 1 has an inflection point at x = 0, because the concavity of the graph changes at that point. To find the value of b such that the function has at least one inflection point over the interval (1,2), we can set x = 1 and x = 2 in the function and solve for b.

If we set x = 1, we get the equation f(1) = 1 + b + 1 = 0. Solving for b, we find that b = -2.

If we set x = 2, we get the equation f(2) = 16 + 2b + 1 = 0. Solving for b, we find that b = -9.

Since the function has an inflection point at x = 0 for any value of b, it will have at least one inflection point over the interval (1,2) for any value of b.

Therefore, the value of b can be any real number.

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Answer:

see explanation

Step-by-step explanation:

consider the left side

(x + 2)² + (x - 2)² ← expand factors using FOIL

= x² + 4x + 4 + x² - 4x + 4 ← collect like terms

= 2x² + 8 ← factor out 2 from each term

= 2(x² + 4)

= right side , thus proven

Answer:

Para compartir 7 alfajores entre 4 niños y niñas para que no quede nada, a cada niño y niña se les debe dar 7/4 alfajores

Step-by-step explanation:

Al compartir 5 alfajores, entre 3 niños y niñas, los alfajores se cortan en tres partes cada uno de manera que cada niño y niña recibe 5/3 piezas de alfajore

Luego, la pregunta es, ¿cómo se pueden compartir 7 alfajores entre 4 niñas y niños sin que quede nada?

Por el proceso de compartir ejemplos, obtenemos;

Cada alfajores debe dividirse en el número total de niños y niñas, que son cuatro piezas cada uno.

El número total de 1/4 piezas = 7 × 4 = 28 piezas de 1/4 alfajores

Cada niño y niña recibe 7 de las piezas de 1/4 alfajores

El número total de alfajores, n, compartidos entre los cuatro niños y niñas viene dado por la expresión;

n = 7 (1/4 alfajores) × 4 = 28 piezas de 1/4 alfajores

Por lo tanto, para compartir 7 alfajores entre 4 niños y niñas para que no quede nada, cada niño y niña debe recibir 7/4 alfajores.

Answer:

You can try for the first pic x = 2 and 6 and you can try the second pic x = 0 and 3 (The ones that I put missing). If you need any help in them, I will help you out but try half of them by yourself. Hopw this helps, thank you :) !!

Look at the third picture. Maybe that would help you.

The correlation analysis indicates a moderate positive relationship between Column X and Column Y.

To perform correlation analysis, we can use the Pearson correlation coefficient (r) to measure the linear relationship between two variables, in this case, Column X and Column Y. The value of r ranges from -1 to 1, where 1 indicates a perfect positive correlation, -1 indicates a perfect negative correlation, and 0 indicates no correlation.

Here are the steps to calculate the correlation coefficient:

Calculate the mean (average) of Column X and Column Y.

Mean(X) = (10+6+39+24+35+12+33+32+23+10+16+16+35+28+5+22+12+44+15+40+46+35+28+9+9+8+35+15+34+16+19+17+21) / 32 = 24.4375

Mean(Y) = (37+10+18+12+11+34+26+9+42+24+40+1+39+24+42+7+17+17+27+47+35+14+38+18+17+22+12+30+18+43+24+45+24) / 32 = 24.8125

Calculate the deviation of each value from the mean for both Column X and Column Y.

Deviation(X) = (10-24.4375, 6-24.4375, 39-24.4375, 24-24.4375, ...)

Deviation(Y) = (37-24.8125, 10-24.8125, 18-24.8125, 12-24.8125, ...)

Calculate the product of the deviations for each pair of values.

Product(X, Y) = (Deviation(X1) * Deviation(Y1), Deviation(X2) * Deviation(Y2), ...)

Calculate the sum of the product of deviations.

Sum(Product(X, Y)) = (Product(X1, Y1) + Product(X2, Y2) + ...)

Calculate the standard deviation of Column X and Column Y.

StandardDeviation(X) = √[(Σ(Deviation(X))^2) / (n-1)]

StandardDeviation(Y) = √[(Σ(Deviation(Y))^2) / (n-1)]

Calculate the correlation coefficient (r).

r = (Sum(Product(X, Y))) / [(StandardDeviation(X) * StandardDeviation(Y))]

By performing these calculations, we find that the correlation coefficient (r) is approximately 0.413. Since the value is positive and between 0 and 1, we can conclude that there is a moderate positive relationship between Column X and Column Y.

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Answer:

greatest because 15.01>15

Answer:

15.01 is greater.

Step-by-step explanation:

Sqare root of 225 is 15.

The value of line BD in parallelogram ABCD is 2units

A parallelogram is a quadrilateral with two pairs of parallel sides. The opposite sides of a parallelogram are equal in length, and the opposite angles are equal in measure. The Sum of all the interior angles of a parallelogram equals 360 degrees.

The perimeter of a parallelogram is 2(l+w)

if BD is x

AB = 3+2x

P= 2(3+2x+x)

18= 2(3+3x)

divide both sides by

9= 3+3x

subtract 3 fromboth sides

6= 3x

x = 2units

therefore BD= 2units.

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Answer:

ok

Step-by-step explanation:

When two straight lines or rays intersect at a single endpoint then an angle is created.

y= 50° and x = 130°

An isosceles trapezium is a trapezium in which the sides which are non-parallel are equal in measurement. In other words, we can say the legs are equal in length and the bases are parallel.

The quadrilateral ABCD is Isosceles Trapezium.

Given ∠ A= x° , ∠ D = 50° and ∠C = y°

∠D = ∠C = 50° ( Because of Isosceles Trapezium)

Here, A and D are co-interior angles, and their sum = 180°

∠A + ∠D = 180°

∠A + 50° = 180°

∠A = 180° - 50°

∠A = 130°

Therefore, y= 50° and x = 130°

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Answer:

67.5

Step-by-step explanation:

I hope this helps!

The equation y=0.75x is the relationship between x, the length of the chain in feet, and y, the price of the chain.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

Given that hardware store sells many different sizes of chains.

The price of each chain is determined by its length.

From the table we need to find the equation  best represents the relationship between x, the length of the chain in feet, and y, the price of the chain.

Let us find this by taking 0.75 as x and multiplying with lengths to get the price.

1.8×0.75=1.35

3×0.75=2.25

3.4×0.75=2.55

6.2×0.75=4.65

y=0.75x.

Hence, y=0.75x is equation best represents the relationship between x, the length of the chain in feet, and y, the price of the chain.

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We are 90% confident that the true difference in proportions between France and the United States falls between -0.1783 and 0.1383.

What is proportion?

The size, number, or amount of one thing or group as compared to the size, number, or amount of another. The proportion of boys to girls in our class is three to one.

The point estimate for the difference in proportions between France and the United States is:

p₁ - p₂ = (60/120) - (26/50) = 0.5 - 0.52 = -0.02

We can use the following formula to calculate the standard error of the difference in proportions:

SE = √(p₁ * (1 - p₁) / n₁ + p₂ * (1 - p₂) / n₂)

where n₁ and n₂ are the sample sizes.

SE = √((0.5 * 0.5 / 120) + (0.52 * 0.48 / 50))

SE = 0.0936

To construct a 90% confidence interval, we can use the formula:

(point estimate) ± (critical value) * (standard error)

The critical value for a two-sided 90% confidence interval with 169 degrees of freedom (calculated as df = (p₁ * n₁ + p₂ * n₂) / (p₁ + p₂)) can be found using a t-distribution table or calculator.

For a 90% confidence level, the critical value is approximately 1.656.

Using these values, the 90% confidence interval for the difference in proportions is:

-0.02 ± 1.656 * 0.0936

which simplifies to:

-0.1783 to 0.1383

Therefore, we are 90% confident that the true difference in proportions between France and the United States falls between -0.1783 and 0.1383.

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Therefore, a small p-value in the Breusch-Pagan test suggests significant heteroskedasticity, requiring further action to improve the model's validity.

If the Breusch-Pagan test results in a small p-value for a regression model, it indicates that there is significant heteroskedasticity present in the model. In simpler terms, the variance of the errors is not constant across all levels of the independent variable(s). This finding can impact the validity of the standard errors and, consequently, the significance of the coefficient estimates.
In such a case, you should consider addressing the heteroskedasticity issue, which can be done by using methods like weighted least squares, robust standard errors, or data transformation. Addressing heteroskedasticity will improve the accuracy and validity of your regression model's results.

Therefore, a small p-value in the Breusch-Pagan test suggests significant heteroskedasticity, requiring further action to improve the model's validity.

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Answer:

x = 20

Step-by-step explanation:

Let's look at the first parallel lines (the ones with one arrow).

Because both these lines are parallel, we can say that (3x + 2) and (4x - 18) are equal due to the alternate interior angles theorem.

So we have to make both of these expression equal to each other, and then solve:

3x + 2 = 4x - 18

-x = - 20

x = 20            < --- this is your answer

Hope this helps!

Answer:

24

Step-by-step explanation:

Answer:

Ok because your questions confuses me I'm going to put two answers here.

Step-by-step explanation:

Use a calculator for these type of problems in the future.

The second pack of 300 for $14.84 is better because it has lower cost per notecard of $0.0495 compared to the first one whose cost per notecard is a bit higher

What can be used to differentiate the two packs?

The distinguishing factor between the two packs can be determined by first of all computing the price per unit, which is total cost of the pack divided by the number of notecards in the pack

one pack of 100 for $5.33:

cost per notecard=$5.33/100

cost per notecard=$0.0533

one pack of 300 for $14.84:

Cost per notecard=$14.84/300

Cost per notecard=$0.0495

The second pack of 300 for $14.84 is better because it has lower cost per notecard of $0.0495 compared to the first one whose cost per notecard is a bit higher

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Full question:

Note cards sell one pack of 100 for $5.33 or one pack of 300 for $14.84. Which is the better buy? Why?

Answer:(-y/(1/2)) -x/(1/2)=1

Step-by-step explanation:

The coordinates of the focus of the parabola are (2, -1.9375)

The equation of the parabola is given as:

\(y = \frac 14x^2 - x - 1\)

Express as a vertex form

\(y = \frac 14(x - 2)^2 - 2\)

The focus of a quadratic function of the form \(y = a(x - h)^2 + k\) is

Focus = (h, k + 1/4 a)

By comparing \(y = a(x - h)^2 + k\) and \(y = \frac 14(x - 2)^2 - 2\), we have:

a = 1/4

h = 2

k = -2

So, we have:

Focus = (2, -2 + 1/4 * 1/4)

Evaluate

Focus = (2, -1.9375)

Hence, the coordinates of the focus of the parabola are (2, -1.9375)

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Answer:

4/3 pie r^3

Step-by-step explanation:

Answer:

The formula to find the volume (V) of a sphere with radius (r) is:

V = (4/3)πr^3

In this formula, π (pi) is a mathematical constant approximately equal to 3.14159. To find the volume of a sphere, you need to cube the radius of the sphere (multiply it by itself three times), multiply the result by 4/3, and then multiply that by π. This formula works for spheres of any size, as long as you know the radius.

Hope it help!

The equation 78x45 + 22x45 can be simplified using the distributive property of multiplication over addition as follows:

The distributive property of multiplication over addition is a mathematical property that allows us to break down a multiplication problem involving the sum of two or more numbers.

The distributive property states that multiplying a number by a sum of two or more numbers is the same as doing each multiplication separately, then adding the products.

78x45 + 22x45

= (78 + 22) x 45

= 100 x 45

= 4500

Therefore, 78x45 + 22x45 = 4500.

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The equation 78x45 + 22x45 can be simplified using the distributive property of multiplication over addition as follows:

The distributive property of multiplication over addition is a mathematical property that allows us to break down a multiplication problem involving the sum of two or more numbers.

The distributive property states that multiplying a number by a sum of two or more numbers is the same as doing each multiplication separately, then adding the products.

78x45 + 22x45

= (78 + 22) x 45

= 100 x 45

= 4500

Therefore, 78x45 + 22x45 = 4500.

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Answer:

I have no clue but option 2 seems right to me but I really don't know sorry

Step-by-step explanation:

sorry I it's wrong

Answer:

P=368(0.07)^x

Step-by-step explanation:

Answer:

12x+6v-10

Step-by-step explanation:

-2(-6x-3v+5)

distribute -2 to the -6x

12x

distribute -2 to -3v

6v

distrbute -2 to 5

-10

The derivative of the composite function y = 3√(1 + 8x) with respect to x is dy/dx = \(12(1 + 8x)^(-1/2).\)

The given composite function is:

y = f(u), where u = g(x)

y = 3√(1 + 8x)

Here, f(u) is the outer function and g(x) is the inner function.

f(u) = 3√(1 + u)

g(x) = 1 + 8x

To find the derivative dy/dx, we can use the chain rule:

(dy/dx) = (dy/du)× (du/dx)

where (dy/du) is the derivative of the outer function f(u) and (du/dx) is the derivative of the inner function g(x).

(dy/du) = d/d(u) (3√(1 + u))

=

(du/dx) = d/d(x) (1 + 8x)

= 8

Now, we can substitute these values in the chain rule formula:

(dy/dx) = (dy/du) × (du/dx)

=\((3/2)× (1 + u)^(-1/2) × 8\)

= \(12(1 + 8x)^(-1/2)\)

Therefore, the derivative of the composite function y = 3√(1 + 8x) with respect to x is dy/dx = \(12(1 + 8x)^(-1/2).\)

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Answer:

a: 3

b. 6973568802

Step-by-step explanation:

a₁ = 6 , r = 3 , a₂₀ =?

Result:

a₂₀ = 6973568802

Explanation:

To find a₂₀ we use the formula

aₙ = a₁ · r ^ⁿ⁻¹

In this example we have a₁ = 6 , r = 3 , n = 20. After substituting these values to above

formula, we obtain:

aₙ = a₁ · r ^ⁿ⁻¹

a₂₀ = 6 · 3 ^²⁰⁻¹

a₂₀ = 6 · 1162261467

a₂₀ = 6973568802

Answer:

Not correct .

Step-by-step explanation: