An author only uses the author's craft when they are writing non-fiction texts. (Easy question for easy points)

Answer: 60 miles

Step-by-step explanation:

1 in. times 3 = 3 in

20 mi times 3 = 60 mi.

9514 1404 393

Answer:

  (b)  y/6 = 7/5.25

Step-by-step explanation:

Clockwise from the obtuse angle, the side ratios are ...

  Fig I : Fig II

  4.2 : 3.15

  y : 6

  7 : 5.25

  6 : x

  4 : 3

__

A true proportion will have corresponding parts of these ratios in corresponding places. The only true proportion listed is ...

  \(\dfrac{y}{6}=\dfrac{7}{5.25}\)

The value of a is 39 when (x - 3) is a factor of the polynomial f(x).

If (x - 3) is a factor of the polynomial f(x), it means that when we divide f(x) by (x - 3), the remainder will be zero.

To find the value of a, we can perform polynomial long division.

Dividing f(x) by (x - 3), we have:

           \(x^3 + (3a - 13)x^2 + (a - 39)x - (3a - 12)\)

    ____________________________________________________

\(x - 3 | x^4 - 4x^3 + ax^2 - 16x + 12\)

To make the remainder zero, we need to equate the coefficient of x in the divisor and the remainder to zero.

Coefficient of x in the divisor = 1

Coefficient of x in the remainder = a - 39

Therefore, we have:

a - 39 = 0

Solving for a, we find:

a = 39

So, the value of a is 39 when (x - 3) is a factor of the polynomial f(x).

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Answer:

0.5675 = 56.75% probability that at least 22 of the 44 students selected are non-history majors.

Step-by-step explanation:

The students are chosen without replacement from the sample, which means that the hypergeometric distribution is used to solve this question. We are working also with a sample with more than 10 history majors and 10 non-history majors, which mean that the normal approximation can be used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}\)

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Approximation:

We have to use the mean and the standard deviation of the hypergeometric distribution, that is:

\(\mu = \frac{nk}{N}\)

\(\sigma = \sqrt{\frac{nk(N-k)(N-n)}{N^2(N-1)}}\)

In this question:

88 + 88 = 176 students, which means that \(N = 176\)

88 non-history majors, which means that \(k = 88\)

44 students are selected, which means that \(n = 44\)

Mean and standard deviation:

\(\mu = \frac{44*88}{176} = 22\)

\(\sigma = \sqrt{\frac{44*88*(176-88)*(176-44)}{176^2(175-1)}} = 2.88\)

What is the probability that at least 22 of the 44 students selected are non-history majors?

Using continuity correction, as the hypergeometric distribution is discrete and the normal is continuous, this is \(P(X \geq 22 - 0.5) = P(X \geq 21.5)\), which is 1 subtracted by the p-value of Z when X = 21.5. So

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{21.5 - 22}{2.88}\)

\(Z = -0.17\)

\(Z = -0.17\) has a p-value of 0.4325

1 - 0.4325 = 0.5675

0.5675 = 56.75% probability that at least 22 of the 44 students selected are non-history majors.

The graph that best corresponds to the situation is graph 4; option C

Number of pages read is on the y - axis

Time taken is on the x - axis

Therefore, graph 4 represent the situation

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Answer:a A. 4x-7/2x(x-2)

got it right on the test

Step-by-step explanation:

In linear equation, The number of customers who will pay by debit card will be 44.

Which equation is linear?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                     Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

16 + 33 + 6 = 55 customers.

That means that the fraction of the customers, who paid by debit card, was

6/55  

In situations like that, when we use historical data and try to predict future behaviour, we use that past experience and extrapolate to a predicted result.

we simply say that we expect the same fraction, 1/30 if customers use credit cards.

for the absolute number of predicted debit  card customers we multiply the predicted number of customers by the expected fraction

400  × 6/55 = 2400  /55  = 43.63 ≈ 44

Therefore the number of customers who will pay by debit card will be 44.

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Jana, because she has the highest ratio since 56 over 80 is greater than 50 over 80.

The numerical relationship between two values that demonstrates how frequently one value contains or is contained within another.

Given:

In baseball, each time a player attempts to hit the ball, it is recorded.

The ratio of hits compared to total attempts is their batting average.

Each player on the team wants to have the highest batting average to help their team the most.

For the season so far,

Jana has hit the ball 7 times out of 10 attempts.

Tasha has hit the ball 10 times out of 16 attempts.

To find the ratio of batting average:

We must find the same number of attempts.

So,

Jana has ratio 7/10.

So, 56 /80 = 0.7

Tasha has ratio 10/16.

So, 50 / 80 = 0.625

Therefore, Jana has the highest batting average.

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The total weight of the liquid in the tank is approximately 12,628 pounds.

To calculate the weight of the liquid, we need to determine the volume of the hemisphere and then multiply it by the density of the liquid. The formula for the volume of a hemisphere is V = (2/3)πr³, where r is the radius of the hemisphere.

In this case, the diameter of the tank is given as 24 feet, so the radius is half of that, which is 12 feet. Plugging this value into the formula, we get V = (2/3)π(12)³ ≈ 904.78 cubic feet.

Finally, we multiply the volume by the density of the liquid: 904.78 cubic feet * 92.5 pounds per cubic foot ≈ 12,628 pounds. Therefore, the total weight of the liquid in the tank is approximately 12,628 pounds.

In summary, to calculate the weight of the liquid in the tank, we first determine the volume of the hemisphere using the formula V = (2/3)πr³. Then, we multiply the volume by the density of the liquid.

By substituting the given diameter of 24 feet and using the appropriate conversions, we find that the total weight of the liquid is approximately 12,628 pounds.

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The geometry sequence is given by the following formula:

Where:

ti: Initial term = 6

q= Rate of change = 8.5/6=17/12

n= number of terms.

The initial term is 6, and it changes adding 1.5, therefore:

Here, when n=5, S should be 13.5. Hence the next term is n=7. Replacing:

Answer: The possibles missing values are: 15 or 16, following the sequence.

Explanation

Step 1

Let

goal: $ 600

he already has: $210

then the money he will need is(c)

he will need 390 dollars to get the goal

Answer:

Step-by-step explanation:

hi: the second, the third and the last one are true

Answer:

The second, the third and the last statement is true.

Hope this helps!

Answer:

Multiplicative inverse property

Step-by-step explanation:

Multiplicative inverse property states that

For example

A number 4

Reciprocal=1/4

Product

Verified

Answer:

Inverse Property of Multiplication

Step-by-step explanation:

Inverse Property of Multiplication

The product of a number and its reciprocal is always 1.

The reciprocal of a number is 1 divided by the number.

Therefore, the reciprocal of a rational number is its inverse (swap the numerator and denominator).

For example:

\(\textsf{The reciprocal of 6 is}\:\:\sf \dfrac{1}{6}\)

\(\implies \sf 6 \times \dfrac{1}{6}=\dfrac{6 \times 1}{6}=\dfrac{\diagup\!\!\!\!6 \times 1}{\diagup\!\!\!\!6}=1\)

\(\sf \textsf{The reciprocal of }\:\dfrac{3}{4} \sf \:\:is\:\:\sf \dfrac{4}{3}\)

\(\sf \implies \dfrac{3}{4} \times \dfrac{4}{3}=\dfrac{3 \times 4}{4 \times 3}=\dfrac{12}{12}=1\)

The angle C is 55 ,The angle E is 75, The angle D is 50.The angle BCE is 55

What are parallel lines ?

Parallel lines are two or more straight lines in a plane that never intersect, no matter how far they are extended. Parallel lines are always equidistant from each other, meaning that the distance between them remains the same at any point along the lines.

When two parallel lines are intersected by a transversal line (a line that crosses both parallel lines), corresponding angles are formed. Corresponding angles are pairs of angles that are in matching positions at each intersection, located on the same side of the transversal line, and on opposite sides of the parallel lines.

It can be proven that corresponding angles are equal in measure (i.e., they have the same degree measurement). This means that if you measure the angles formed by the intersection of two parallel lines and a transversal line, the corresponding angles will be equal to each other. This is a fundamental property of parallel lines and helps us to solve many geometry problems involving angles and lines.

The angle A will be 50 degree.

180-130=50

angle A+angle B+angle C =180

Angle C = 180-130-75

Angle c=55

Angle GEF = 180-45-60

Angle GEF=75

Angle DCE =55

Angle DCE=75

ANGLE CDE =180-55-75

ANGLE CDE =50

hence we can conclude that The angle C is 55 ,The angle E is 75, The angle D is 50.The angle BCE is 55

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Answer:

15

Step-by-step explanation:

28.75 ÷ 5.75= 5 so 5 boxes have been sold.

115÷ 5.75= 20- 5 = 15 boxes

Answer:

15

Step-by-step explanation:

Answer: F

Step-by-step explanation:

Answer: correct answer is A

Step-by-step explanation:

Remember that the coordinates (−2,−5π3) tell us the radius r=−2 and the angle θ=−5π3. So the point should be on the circle labeled 2 and form an angle of −5π3 with the negative x-axis. Point A is the correct point.

The value of the x and y is 12 and -10 respectively, and the provided figure is a parallelogram because the diagonals bisect each other.

We have,

In two-dimensional geometry, it is a plane shape having four sides, in which two pairs of sides are parallel to each other and equal in length. The sum of all angles in a parallelogram is 360°.

As we know in the parallelogram, the diagonals bisect each other.

Then,

432 = 3x²

x² = 144

x = √144

x = 12

In the parallelogram, the adjacent opposite angles are the same.

∠C+∠B = 240°

= 360 - 240

∠A + ∠D = 120°

∠A = ∠D = 120°/2 = 60

∠D/2 = 60/2 = 3y + 60

3y + 60 = 30

3y = -30

y = -10

From the definition of the parallelogram, the provided figure is a parallelogram.

Thus, the value of the x and y is 12 and -10 respectively and the provided figure is a parallelogram because the diagonals bisect each other.

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complete question:

1. i dentify if the following figure is an examle of a parallelogram. show your solution.

2. is this given figure on the side a parallelogram of Not?(prove using the properties of parallelogram)​

Answer:

I would divide 50 by 4 (Because there are usually 4 weather conditions in game) and whichever the number is closest to it would pick that weather condition

Answer:

The answer is C or 44/12

Step-by-step explanation:

1/2 is equivalent to 3/6

1 4/6 is equivalent to 1 4/6 or 10/6

1 2/4 is equivalent to 1 3/6 or 9/6

When you add all of these together you get 22/6

Then you multiply 22/6 by 2 to get 44/12

After substituting the values as x=3 and y=7, the value of the expression "2x²-y¹+3x⁰" is 14.

In mathematics, an expression is a combination of numbers, variables, and mathematical operations (such as addition, subtraction, multiplication, and division) that can be simplified or evaluated to a numerical value.

To evaluate the expression 2x²-y¹+3x⁰ for x=3 and y=7, we substitute the given values, which are x=3 and y=7 into the expression and simplify:

On substituting the values,

We get,

= 2x² - y¹ + 3x⁰

= 2(3)² - 7¹ + 3(1)

= 2(9) - 7 + 3

= 18 - 7 + 3

= 14

Therefore, when x=3 and y=7, the value of the expression 2x²-y¹+3x⁰ is 14.

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Answer:

A

Step-by-step explanation:

(b-3)(b-3) would equal (b^2–6b+9), when using the foil method.

5x+3=0

5x=–3

x=–3/5

x=– 0.6

Answer:

x = -3/5

Step-by-step explanation:

0 = 5x + 3

shift 3 to left hand side . when u are shifting 3 to other side it becomes negative

0 - 3 = 5x

-3 = 5x    (5x means 5*x)

now shift 5 to left hand side . multiplication changes to division when u shift.

-3/5 = x

Answer:

5:2 is the simplest ratio of the circles to total

Step-by-step explanation:

5:2 is the answer hope it helps ya

The Required Factors   (x + 1) (x - 3 ) (x + 2) (x - 2).

Given equation.
x^4 - 2x^3 - 7x^2+8x+12 = 0

Factors : factor is a number that divides another number, leaving no remainder. In other words, if multiplying two whole numbers gives us a product, then the numbers we are multiplying are factors of the product because they are divisible by the product.

polynomial : an expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable

Now, factorize the polynomial of degree 4 as follows.

= (x + 1) (x - 3) (x^2 - 4)

Then, again factorize polynomial of degree 2.

Therefore  (x + 1) (x - 3 ) (x + 2) (x - 2)

This is the required factors.

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Answer: 275,400

Step-by-step explanation:

- First we do 18 multiplied by 20 which would get us the answer of 360

- Next we do 45 multiplied by 17 which would get us the answer of 765

- Now we multiply both 360 and 765 and get the answer of 275,400

Using the highest common factor, the greatest number of identical binders that the teacher can make is 18.

The highest common factor or multiple of the given numbers is the highest number that can divide them without a remainder.

We know that 2, 9, and 18 can divide 54, 36, and 72 without leaving a remainder.

We can see that the highest common factor is 18.

When we divide 54 by 18, the quotient is 3. If you divide 36 by 18, the quotient is 2.  When you divide 72 by 18, the result is 4.

The number of lined paper = 54 pieces

The number of grid paper = 36 pieces

The number of dividers = 72 dividers

The common factors of 54, 36, and 72 are 2, 9, and 18.

The highest common factor of 54, 36, and 72 is 18.

Thus, 18 binders containing 3 pieces of lined paper, 2 pieces of grid paper, and 4 dividers can be made from the collection, using their HCF.

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Answer:

64

Step-by-step explanation:

the red height is 48 by pythagorean, and by 3:4:5 similarity x=64.

\((\stackrel{x_1}{4}~,~\stackrel{y_1}{-2})\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{4}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{4}-\stackrel{y1}{(-2)}}}{\underset{run} {\underset{x_2}{-2}-\underset{x_1}{4}}}\implies \cfrac{4+2}{-6}\implies \cfrac{6}{-6}\implies -1\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-2)}=\stackrel{m}{-1}(x-\stackrel{x_1}{4}) \\\\\\ y+2=-x+4\implies y=-x+2\)

Using Pythagorean theorem, the value of x is 12.4 units

To find the value x, we need to find the radius of the circle from the diameter and then use Pythagorean theorem to find the unknown side or adjacent and then subtract the value from x.

radius = diameter / 2

radius = 44 / 2

radius = 22

Using Pythagorean theorem, the adjacent side will be;

22² = 19.8² + y²

y² = 22² - 19.8²

y = √(22² - 19.8²)

y = 9.6

The value of x will be

x = 22 - 9.6

x = 12.4

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The correct answer is 12.4