what is the measure of < FDE given the following image?

Answer: x= 1

Step-by-step explanation:

Answer:

They left the beach at 2:20pm

Step-by-step explanation:

if they got there at 11:50am and spent 1hr and 20min swimming that would have put them at 1:20pm you then add the 30min they played volleyball which would put you at 1:50pm you then add the 35min they built sand castles for which would put you at 2:20pm. so they left the beach at 2:20pm

The inequality that can be used to determine x, the number of outfits Indigo can purchase will be; 367.39 + 68.49x ≤ 700

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

The given parameters are:

Budget = $700

New bicycle = $296.71

Three bicycle reflectors = $12.34 each

Pair of a bike gloves = $33.66.

New biking outfits = $68.49 each.

Let the number of new biking outfits be x

So, we have the inequality;

New bicycle + 3 times price of bicycle reflectors + Pair of a bike gloves + New biking outfits ≤ Budget

This gives;

296.71 + 3( 12.34) + 33.66+ 68.49x ≤ 700

296.71 + 68.49x ≤ 700

Solve the inequality

367.39 + 68.49x ≤ 700

Hence, the inequality that can be used to determine x, the number of outfits Indigo can purchase will be; 367.39 + 68.49x ≤ 700

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With 350 gram of ingredients Hamza can make 3.36 wich is equivalent to 3 biscuits or \(3\frac{9}{25}\) biscuits.

Given : To make 12 biscuits Hamza needs ;  375g of butter

200 g of sugar and 675g of flour .

thus the total amount of ingredients = 375 + 200 + 675

= 1,250 g

Thus to make 12 biscuits 1250 g is required.

By using unitary method we get :

1g will make 0.0096 biscuits

However to work out the greatest number of biscuits with 125 g of butter

50g of sugar and 175g of flour

will be 125 + 50 + 175 = 350 g

Thus 350 g can make 0.0096 × 350 = 3.36 biscuits ≈ 3 biscuits.

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Answer:

Money

Step-by-step explanation:

Ads help provide money for the company.

HOPE THIS HELPED

the derivative dy/dx is equal to 1/3 based on the given information. It's important to note that this calculation assumes that the partial derivatives (∂F/∂x) and (∂F/∂y) are not zero at the given point (z.y.a).

n the given problem, we have an implicit equation ln(x+y+z) = x+2y+3z that defines z as a function of x and y. We are given the values dy = (-1, 5, -3).

To find the derivative dy/dx, we can use the total derivative formula and apply it to the implicit equation. The total derivative is given by dy/dx = - (∂F/∂x)/(∂F/∂y), where F = ln(x+y+z) - x - 2y - 3z.

Differentiating F partially with respect to x and y, we have (∂F/∂x) = 1/(x+y+z) - 1 and (∂F/∂y) = 1/(x+y+z) - 2.

Plugging in the given values of dy = (-1, 5, -3), we can calculate dy/dx = - (∂F/∂x)/(∂F/∂y) = -(-1)/(5-2) = 1/3.

Therefore, the derivative dy/dx is equal to 1/3 based on the given information. It's important to note that this calculation assumes that the partial derivatives (∂F/∂x) and (∂F/∂y) are not zero at the given point (z.y.a).

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The remainder of the f(x) = 3x³ + 6x² - 3x + 2 and divisor x + 3 applying synthetic division is equal to -16.

Use synthetic division and the remainder theorem to find the remainder of f(x) when divided by x- c,

Set up the synthetic division table with c on the left side, and the coefficients of f(x) on the top row.

Bring down the first coefficient of f(x) into the first box below the horizontal line.

Multiply c by the number in the first box and write the result in the second box.

Add the number in the second box to the coefficient in the second column, and write the result in the third box.

Repeat steps 3 and 4 until you reach the last box. The number in the last box is the remainder.

Check if the remainder is zero. If it is zero, then x -c is a factor of f(x),

and g(x) = (x- c) is a factor of f(x).

Dividend is equal to,

f(x) = 3x³ + 6x² - 3x + 2

Divisor is equal to,

g(x) = x + 3

Synthetic division is attached in the figure.

Expressed in remainder theorem

3x² -3x + 6 + ( -16 / x + 3 )

Therefore, the remainder of the synthetic division for the given dividend and divisor is equal to -16.

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Answer:

150

Step-by-step explanation:

7 x 30 = 210

5 x 30 = 150

Sorry I couldn't explain more, But i hope this helps!

Given data:Width of flume (B) = 3 mDepth of flume (D) = 1.5 mChezy’s constant (C) = 0.013Slope of the bed (S) = 0.0025We know that,Q = (1/C) * A * R^(2/3) * S^(1/2)

Where,Q = Discharge of rectangular flumeA = Area of cross-sectionR = Hydraulic radiusS = Slope of the bedCalculation:Area of cross-section, A = B * D = 3 * 1.5 = 4.5 m²Wetted perimeter, P = B + 2 * D = 3 + 2 * 1.5 = 6 mHydraulic radius,

R = A / P = 4.5 / 6 = 0.75 mSubstituting the given values,Q = (1 / 0.013) * 4.5 * 0.75^(2/3) * 0.0025^(1/2)Q = 0.796 m³/sBoundary shear stress, τo = ρ * g * R * Sρ = Density of water = 1000 kg/m³g = Acceleration due to gravity = 9.81 m/s²Substituting the given values,τo = 1000 * 9.81 * 0.75 * 0.0025τo = 18.23 N/m²

The discharge of a rectangular flume 3 m wide and 1.5 m deep on a slope of 0.0025 is 0.796 m³/s and the boundary shear stress is 18.23 N/m².

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There were 16 ounces of oil in the lantern at noon.

Let's start by defining the variables we know. We'll call the amount of oil in the lantern at noon "x," the rate at which the oil burns "r," and the time elapsed from noon to 2 pm "t." We know that the amount of oil in the lantern at 2 pm is 12 ounces, and at 4 pm, it's 8 ounces.

We can use the rate of oil burning to create an equation relating the amount of oil in the lantern to the time elapsed. The equation is:

x - rt = y

where "y" is the amount of oil in the lantern at any given time after noon. We can solve for "x" by plugging in the values we know at 2 pm:

x - 2r = 12

And at 4 pm:

x - 4r = 8

Now we have two equations with two variables. We can solve for "r" by subtracting the second equation from the first:

2r = 4

r = 2

Now we can plug in "r" to one of the equations to solve for "x." Let's use the first equation:

x - 2(2) = 12

x - 4 = 12

x = 16

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There are 10,000,000,000 unique phone numbers that can be made with 10 digits using any single digit number (0-9) for each digit using combinations.

To determine how many phone numbers can be made with 10 digits, where any single digit number (0-9) can be used for any digit, follow these steps:

1. Understand that there are 10 possible digits (0-9) for each digit in the phone number.
2. Since there are 10 digits in the phone number, you need to calculate the total number of combinations by multiplying the number of possibilities for each digit.

To calculate this, simply raise the number of possible digits (10) to the power of the number of digits in the phone number (10):

10^10 = 10,000,000,000

So, there are 10,000,000,000 unique phone numbers that can be made with 10 digits using any single digit number (0-9) for each digit.

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Answer:

1

Step-by-step explanation:

In the equation -7 - (-8), there are two 'minus' signs; we can convert two minus signs into a plus sign according to the 'minus minus equals plus' rule, that would make the equation (-7) + 8 for which the answer is +1.

Answer:

1

Step-by-step explanation:

-7-(-8)

therefore;

  -7-(-8)= -7+8

therefore;

   -7+8= 1

Hope you understand.If you have any problem just ask me I will solve it.

(a) The position vector in component form for the polar coordinates (12.6 m, 140°) is (x, y) = (12.6 m * cos(140°), 12.6 m * sin(140°)). (b) The position vector in component form for the polar coordinates (3.60 cm, 40.0°) is (x, y) = (3.60 cm * cos(40.0°), 3.60 cm * sin(40.0°)). (c) The position vector in component form for the polar coordinates (24.0 in., 200°) is (x, y) = (24.0 in. * cos(200°), 24.0 in. * sin(200°)).

x`To obtain the expressions in component form for the position vectors with the given polar coordinates, we can use the following conversions:

For a polar coordinate (r, θ), where r is the magnitude and θ is the angle counterclockwise from the positive x-axis:

The x-component is given by: x = r * cos(θ)

The y-component is given by: y = r * sin(θ)

Let's calculate the expressions for each part:

(a) Polar coordinates: (12.6 m, 140°)

x-component: x = 12.6 m * cos(140°)

y-component: y = 12.6 m * sin(140°)

(b) Polar coordinates: (3.60 cm, 40.0°)

x-component: x = 3.60 cm * cos(40.0°)

y-component: y = 3.60 cm * sin(40.0°)

(c) Polar coordinates: (24.0 in., 200°)

x-component: x = 24.0 in. * cos(200°)

y-component: y = 24.0 in. * sin(200°)

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The test statistics for one-way Anova follows, the comparing of the T Statistic with the T critical value.

On data that is dispersed normally, the Z test is a parametric process that is applied. The z-test can be applied to proportions, two samples, or one sample to test hypotheses. When the population variance is known, it is possible to determine whether the means of two significant groups differ.

The second is one-way analysis of variance (ANOVA), which checks if three or more samples originate from populations with the same mean using the F-distribution.

The test statistic should be compared to the crucial value. If the test statistic is more extreme in favor of the alternative than the crucial value, the alternative hypothesis should be considered instead of the null hypothesis. If the test statistic is not as extreme as the crucial value, the null hypothesis should not be disregarded.

Therefore,

The test statistics for one-way Anova follows, the comparing of the T Statistic with the T critical value.

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The percent of the field goals did Samuel make will be 77.5%.

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100. The percentage therefore refers to a component per hundred. Per 100 is what the word percent means. It is represented by %.

Samuel made 31 out of 40 field goals during football practice. The percent of the field goals did Samuel make will be:

= 31 / 40 × 100

= 77.5%

The percentage is 77.5%.

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The series is ∑ \(\frac{1}{n^5}\) from n=1 to infinity which is convergent.

In mathematics, the integral test for convergence is a method used to test infinite series of monotonous terms for convergence.

The Integral Test says that if \(a_n > 0\) is a sequence and f(x) > 0 is monotonic decrescent and \(a_n=f(n)\) ∀ n

\(\int\limits^\infty_1 f{x} \, dx \\\\\) exists finite  ⇔ ∑(infinity to n = 1) \(a_n\) converges

We know:

\(\int\limits^\infty_1 {\frac{1}{x^5} } \, dx =(-\frac{1}{4x^4} )^\infty_1=\frac{1}{4}\)

which is finite, so the series converges.

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The given question is incorrect, correct question is:

Use the Integral Test to determine whether the series is convergent or divergent given ∑ \(\frac{1}{n^5}\) from n=1 to infinity?

To find the set operations of A and B, let's consider the given sets:
A = {6, 7, 8, 9, 10}
B = {8, 9, 10, 11, 12}
C = {7, 10, 12}

a. The intersection of A and B (A ∩ B) is the set of elements that are common to both A and B. In this case, the common elements are 8, 9, and 10. Therefore, A ∩ B = {8, 9, 10}. b. The union of A and B (A ∪ B) is the set that contains all elements from both A and B without duplication. Combining the elements from A and B gives us A ∪ B = {6, 7, 8, 9, 10, 11, 12}.

c. The set difference of A and B (A \ B) is the set of elements that are in A but not in B. In this case, the elements that are in A but not in B are 6 and 7. Therefore, A \ B = {6, 7}. d. The intersection of A and the union of B and C (A ∩ (B ∪ C)) is the set of elements that are common to both A and the set containing all elements from B and C. In this case, the common element is 10. Therefore, A ∩ (B ∪ C) = {10}.

a. A ∩ B = {8, 9, 10}
b. A ∪ B = {6, 7, 8, 9, 10, 11, 12}
c. A \ B = {6, 7}
d. A ∩ (B ∪ C) = {10}.

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Answer:

13 5/6

Step-by-step explanation:

To find the perimeter, add all the sides together.

5 7/18 + 3 7/18 + 5 1/18 = 13 15/18 = 13 5/6

Best of Luck!

Step-by-step explanation:

a is equal to -5 and b is equal to -2

Answer:

x = 15

Step-by-step explanation:

-x = -15

x = -1 × (-15)

x = 15

Answer:

\(\tt{}x = 15\)

Step-by-step explanation:

\(\tt{} - x = - 15\)

\(\tt{} - 1 \times ( - x) = - 1 \times ( - 15)\)

\(\tt{}x = 15 \\ \\ \)

The probability of one coin showing heads and the rest showing tails when flipping 4 fair coins randomly is 0.250.

The total number of possible outcomes when flipping 4 fair coins is 2^4 = 16, since each coin can land heads or tails, independently of the others.

To compute the probability that one coin shows heads and the rest show tails, we need to count the number of outcomes where exactly one coin is heads and the other three are tails. There are 4 different ways to choose which coin will be heads, and each of those ways leads to exactly one possible outcome where that coin is heads and the rest are tails. Therefore, there are 4 outcomes where exactly one coin shows heads and the rest show tails.

So, the probability of getting exactly one head in 4 coin flips is:

P(exactly one head) = 4/16 = 1/4

This can also be written as 0.25, rounded to three decimal places. Therefore, the probability of one coin showing heads and the rest showing tails when flipping 4 fair coins randomly is 0.250.

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Answer:

3 x y (y + x)

Step-by-step explanation:

Factor the following:

(y + x)^3 - (y^3 + x^3)

Factor the sum of two cubes. y^3 + x^3 = (y + x) (y^2 - x y + x^2):

(y + x)^3 - ((y + x) (y^2 - x y + x^2))

Factor y + x out of (y + x)^3 - (y + x) (y^2 - x y + x^2), resulting in (y + x) ((y + x)^(3 - 1) - (y^2 - x y + x^2)):

(y + x) ((y + x)^(3 - 1) - (y^2 - x y + x^2))

3 - 1 = 2:

(y + x) ((y + x)^2 - (y^2 - x y + x^2))

(y + x) (y + x) = (x) (x) + (x) (y) + (y) (x) + (y) (y) = x^2 + x y + x y + y^2 = y^2 + 2 x y + x^2:

(y + x) ((y^2 + 2 x y + x^2) - (y^2 - x y + x^2))

-(y^2 - x y + x^2) = -y^2 + x y - x^2:

(y + x) (x^2 + 2 x y + y^2 + (-y^2 + x y - x^2))

Grouping like terms, y^2 - y^2 + 2 x y + x y + x^2 - x^2 = (2 x y + x y) + (y^2 - y^2) + (x^2 - x^2):

((2 x y + x y) + (y^2 - y^2) + (x^2 - x^2)) (y + x)

x y 2 + x y = x y×3:

(3 x y + (y^2 - y^2) + (x^2 - x^2)) (y + x)

y^2 - y^2 = 0:

(3 x y + (x^2 - x^2)) (y + x)

x^2 - x^2 = 0:

Answer: 3 x y (y + x)

Answer:

Step-by-step explanation:Response Variable

Just took the test! Correct for Plato/Edmentum

a) Median will be an appropriate measure for the distribution. b) Mean will be an approprate measure for the distribution.

Here we already have the data available to us. From the data, we can clearly see that

Mode < Mean < Median

Hence this is a negatively skewed distribution.

Therefore the appropriate measure of central tendency for this distribution will be the median. The median will tell us the point at which the frequency is divided by 50%.

Hence we can say that the median will a more appropriate measure.

Now if the data has another aspect of sex included, then the frequency column would be divided into separate columns with each gender identity taking up its own column.

Since now this will become multivariate data, the best measure of central tendency will be Mean.

The difference in the measure of central tendency will depend upon how skewed the data for every sex will be. For example, if in a country, men preferred to be educated over women, then the mean for men will be a lot higher than that of women. On the other hand, the EDUC for women will be a lot lower.

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Answer:

A. -86

Step-by-step explanation:

The absolute value is the distance a number has from zero.

Two numbers that are the same, except that one is positive and negative, will have the same absolute value.

So, -86 and 86 have the same absolute value of 86. This is because they are both 86 away from 0.

So, A is the correct answer.

The resulting probability will give us the likelihood of observing exactly 15 cars arriving during the specified time interval based on the given Poisson distribution with a mean of 5 cars every ten minutes.

Since the arrival of cars follows a Poisson distribution, we can use the formula for the probability mass function of a Poisson distribution to calculate the desired probability. The formula is P(X = k) = (\(e^(-λ)\) *\(λ^k\)) / k!, where X represents the random variable (number of cars arriving), λ represents the mean (5 cars every ten minutes), and k represents the specific number of cars we are interested in (15 in this case).

To find the probability of exactly 15 cars arriving between 10:30 a.m. and 11:00 a.m., we substitute the values into the formula as follows: P(X = 15) = (\(e^(-5)\) * \(5^15\)) / 15!. We can use a calculator or software to compute this value.

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The least common denominator (LCD) for the expressions 3a/(a+1)^2, 2a/(a+1), and 5a^3/(a+1)^3 is (a + 1)^3.

To find the LCD for the given expressions, we need to determine the lowest common multiple of the denominators. The denominators in the expressions are (a+1)^2, (a+1), and (a+1)^3.

To find the LCD, we look for the highest power of each factor in the denominators. In this case, the highest power of (a+1) is (a+1)^3. Therefore, the LCD is (a+1)^3.

The LCD ensures that all the fractions have the same denominator, allowing us to perform arithmetic operations on them more easily. In this case, having a common denominator of (a+1)^3 will facilitate adding or subtracting the fractions, if needed.

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Hey there,

We have,

f(x) = x² + 11x + 30g(x) = x + 6

Now,

(f.g)(x) = f(g(x))

Substituting...

g(x) = x + 6f(g(x)) = f(x + 6)

Now,

f(x + 6)= (x + 6)² + 11(x + 6) + 30= x² + 12x + 36 + 11x + 66 + 30= x² + 23x + 132

So,The value is x² + 23x + 132