A textbook store sold a combined total of 256 sociology and history textbooks in a week. The number of history textbooks sold was 76 less than the number of sociology textbooks sold. How many textbooks of each type were sold?​

Answer:

$2 and 75%????

Step-by-step explanation:

I'm not 100% sure but I think thats right

The distance the ball drops in the next 8 seconds is 320 meters.

Direct proportion is when two variables move in the same direction. If one variable increases, the other variable increases.

The equation that is used to represent direct proportion is: D = kt²

Where: k is the constant of variation

80 = k4²

80 = 16k

k = 80 / 16

k = 5

Distance the ball drops in the next 8 seconds : 5 x 8²

= 64 x 5 = 320 meters

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Answer:

4 is in the one thousands place. The 0 is in the hundredths place. The 7 is in the tenths place.

Answer: c = 35 + 45m

Step-by-step explanation: The equation for the total cost, c, of renting an iPad for m months would be:

c = 35 + 45m

Where c represents the total cost and m represents the number of months for which the iPad is rented.

The $35 is the initial renting fee and is a one-time cost, while the $45 is the monthly rental fee that is charged for each month that the iPad is rented. Therefore, the total cost of renting an iPad for m months would be the sum of the initial renting fee and the monthly rental fee multiplied by the number of months the iPad is rented.

For group 1, si^2= 250.67

group 2,s2^2 = 96.27

t= 5.44 which is the difference of mean.

Given the data values:

Group 1: 90 88 70 110 75 105

Group 2 40 48 35 50 55 62

For group 1, n1 = 6

group 2, n2 = 6

Given that H_o= u1 - u2 = 0

H_a = u1 - u2 > 0

To find the t-test about the difference, we would use the formula to solve

The totals are displayed below:

x1 = 538

x2 = 290

(x1-x2)^2 = 1253.3334

x2-x2= 0

(X2-x2)^2 =481.3334

For group 1, si^2= 250.67

group 2,s2^2 = 96.27

t= 5.44 which is the difference of mean.

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Use of the advanced filter dialog box to extract records from the range of cabin rentals that meet the criteria in the criteria range.

1. Select the range of cabin rentals.

2. Select the range of criteria.

3. Go to the Data tab, click on Filter, then Advanced Filter.

4. In the Advanced Filter dialog box, select Copy to another location as the Action.

5. Select the range of cabin rentals as the List Range.

6. Select the range of criteria as the Criteria Range.

7. Select the range of extract as the Copy To.

8. Click OK.

9. Select Yes when prompted with the warning about the destination range.

10. The records that meet the criteria will be copied to the extract range.

Advanced filtering is a powerful tool used to quickly narrow down large datasets to focus on the information that is most relevant to the task at hand. Advanced filters allow users to set multiple conditions for data retrieval, enabling the user to quickly narrow down a large dataset. Advanced filtering can be used to quickly highlight specific data points, trends, or patterns in a dataset. The user can quickly find relevant information by setting multiple conditions, such as date ranges, specific values, or other criteria.

Advanced filtering also allows users to combine multiple conditions, making it easier to identify relationships between data points. Advanced filtering can be used to quickly identify outliers, errors, or anomalies in a dataset. Advanced filtering is a critical tool for data analysis and can help users quickly identify trends and patterns in their data.

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Answer is the following:

967

The total number of coins that were in Kay's bank are 137 coins.

In order to determine the number of dimes and nickels, we would assign a variables to the unknown numbers and then translate the word problem into algebraic equation as follows:

Since she has 11 less dimes than nickels, an equation which models this situation is given by;

n = d + 11     ....equation 1.

Note: 1 nickel is equal to 0.05 dollar and 1 dime is equal to 0.1 dollar.

Additionally, the coins are worth 10 dollars;

0.1d + 0.05n = 10 ....equation 2.

By solving both equations simultaneously, we have:

0.1d + 0.05(d + 11) = 10

0.1d + 0.05d + 0.55 = 10

0.15d = 9.45

d = 63 dimes.

For nickels, we have:

n = d + 11

n = 63 + 11

n = 74

Now, we can determine the total number of coins;

Total number of coins = n + d

Total number of coins = 74 + 63

Total number of coins = 137 coins.

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(a) The sum of the series 1+2+3+4+...+392 is 77,028.

(b) The sum of the series 1+2+3+4...x is (x/2)(1 + x).

(c) The sum of the series 546 + 547 + 548 + 549 is 2,190.

To solve the exercise using Polya's four-step problem-solving strategy, we will apply the procedures presented in the lesson.

(a) For the series 1+2+3+4+...+392:

Using the arithmetic series formula Sn = (n/2)(a + l), where n is the number of terms, a is the first term, and l is the last term, we can substitute the values: Sn = (392/2)(1 + 392) = 196(393) = 77,028.

(b) For the series 1+2+3+4...x:

To find the sum of this series, we need to know the number of terms (n) based on the value of x. Since the series follows a consecutive pattern, the number of terms will be equal to x itself. Thus, the sum of the series would be Sn = (x/2)(1 + x).

(c) For the series 546 + 547 + 548 + 549:

Using the arithmetic series formula Sn = (n/2)(a + l), we can determine the number of terms (n) by subtracting 546 from 549 and then adding 1: n = 549 - 546 + 1 = 4. Substituting the values into the formula: Sn = (4/2)(546 + 549) = 2(1095) = 2,190.

The final answer for each part is:

(a) The sum of the series 1+2+3+4+...+392 is 77,028.

(b) The sum of the series 1+2+3+4...x is (x/2)(1 + x).

(c) The sum of the series 546 + 547 + 548 + 549 is 2,190.

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Answer:

that's 53 °not 90 i thought

The most likely be included in the magazine article that follows this introduction is A. examples of radio programs

A radio program, radio programme, or radio show is a piece of content designed for radio broadcast. It could be a one-time production or part of a recurring series.

Headphones are ubiquitous! People are trapped in their downloaded music worlds, relying on their personal music libraries for entertainment. They are thus ignoring a diverse world of radio offerings that could enrich and entertain them. Local radio stations broadcast music and news, whereas National Public Radio (NPR) broadcasts debate and entertainment for people of all ages.

Based on the information given, it should be noted that after the introduction, the next thing is to simply give the examples of the radio shows. This is important in order to buttress the introduction.

In conclusion, based on the information, the correct option is A.

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Answer:

Step-by-step explanation:

a  i was told by my teacher

In order to ensure that depositors would get their money back in the event of a bank run, the Federal Reserve can support the bank by lending money to the bank. Option C

When a bank faces a bank run and experiences a sudden and significant increase in withdrawals, it may face a liquidity crisis, meaning it may not have enough cash on hand to meet the withdrawal demands of depositors.

To address this, the Federal Reserve can step in and provide loans or emergency funding to the bank to help it meet its obligations to depositors. This lending can help stabilize the bank's liquidity position and ensure that depositors are able to access their funds.

It is important to note that this support from the Federal Reserve is typically done on a temporary basis and is intended to help address the immediate liquidity needs of the bank during a crisis

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Answer:

$6932.73

Step-by-step explanation:

16400(0.9175)^10

6932.73464

Therefore , the solution of the given problem of rectangle comes out to be  about 46cm2 of the baking sheet are left uncovered.

A rectangle is just a cube with quartet right angles in the Euclidean plane. It is also known as a quadrant that appears to have equal angles, or an equiangular quadrilateral. A straight angle is an additional alternative for the parallelogram. A square has four sides that are the same length. A quadrilateral with four 90° vertices and four equal sides is rectangular in shape. Due of this, it is occasionally referred to as a "equirectangular rectangle".

Here,

Given :

Size: 12 cm

Size = 18 cm

Rectangle's area is equal to 12*18.

Rectangle's surface area is 216 cm2.

One circle's diameter is equal to Length/3.

One circle's diameter is equal to 18/3, or 6 cm.

Circle area is equal to d2/4.

Circle area equals (6)2/4

Circles have an area of 364.

A circle's area is 9 cm2.

The six circular biscuits' surface area is 6 (9), or 54 cm2.

The six circular biscuits' surface area is 54 (3.14), or 169.56 cm2.

Amount of the baking sheet still exposed is equal to 216 - 169.56

46.44 cm2 of the baking sheet were left uncovered.

About 46cm2 of the baking sheet are left uncovered.

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The statement correctly describes the perpendicular bisector construction below The construction of JK to bisect GH: Option D is the correct answer

The term perpendicular bisector refers to the line that divides another line into two equal parts, making an angle of 90 degrees. The term is made up of two words, perpendicular and bisector.

Perpendicular refers to angle 90 degrees, while the bisector refers to dividing into two equal parts.

In the picture, the main line is GH while JK is the line constructed to bisect the main line

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The value of total weight of the fish Nicholas and his father caught, in pounds is,

⇒ 87/4 pounds

We have to given that;

Nicholas caught a fish that weighed 14 1/2 pounds.

And, His father caught a fish that weighed half as much as the fish Nicholas caught.

Hence, The weight of fish caught  by his father is,

⇒ 14 1/2 ÷ 2

⇒ 29/2 × 1/2

⇒ 29/4

Thus, The value of total weight of the fish Nicholas and his father caught, in pounds is,

⇒ 14 1/2 + 29/4

⇒ 29/2 + 29/4

⇒ 58/4 + 29/4

⇒ 87/4 pounds

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Answer:

-21 yd

Step-by-step explanation:

\(-31-2+12=-21\)

The range of a function f(x)=3ˣ⁻¹-2 is (-2, ∞)

A function from a set X to a set Y in mathematics assigns to each element of X exactly one element of Y. The domain of the function is the set X, and the codomain of the function is the set Y.

The first known attempt to define function can be found in the writings of Persian mathematicians Al-Biruni and Sharaf al-Din al-Tusi. The concept of a function was codified in terms of set theory at the end of the nineteenth century, which substantially expanded its realms of applicability. The range of possibilities for variation or the distances between them: pricing for various grades of steel; a variety of designs. a thing's operation or action's reach or extent: accessible to the eye. a projectile's range is how far a weapon can or will shoot it.

Given,

f(x)=3ˣ⁻¹-2

Range=(-2, ∞)

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Answer:

x ≤ 1/2

Step-by-step explanation:

The formula of the function, where x is entered in radians is   y = -3sin(πx/5) -6

The key components: amplitude, period, phase shift, and vertical shift.

Amplitude is the distance between the midline and max/min points. Midline at (0, -6), so distance to min point (2.5, -9) is 3. Amplitude: 3.

Vertical shift: Displacement along y-axis. Midline at y = -6, vertical shift is -6. Period: distance between max/min points. Graph intersects midline at (0, -6) and minimum point at (2.5, -9).  Period is 5 (2 * 2.5). Freq: Reciprocal of period, 1/5.

Phase shift: Horizontal shift of graph. Graph intersects midline at x=0, no phase shift.

Hence:

The general form of the sinusoidal function is y = A sin (B(x-C)) + D

So, Substituting the known values into the general formula:

y = 3 x  sin((1/5)x - 0) - 6

Hence: Simplifying it will be:

y = 3 x sin(πx/5) - 6

Then, the formula of the function, where x is entered in radians, is: y = -3sin(πx/5) - 6

Based on the image attached, the first given point is one that informs one that the function is a sine (not a cosine) function, and that it is one that has its offset as -6.

Also, the second given point is one that informs you of the first peak is at x=2.5, hence the argument of the sine function is π/2 if x=2.5: (πx/5).

Based on the fact that the peak is 3 units smaller than the midline, the amplitude is said to be -3.

Therefore the  formula for the function is  seen as:  y = -3·sin(πx/5) -6

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Answer:

-2x+5

Step-by-step explanation:

Answer:

−2x + 5

Step-by-step explanation:

The probabilities for this problem are given as follows:

a) Dolphin partaking in social activities: 0.328 = 32.8%.

b) Dolphin group is around in the afternoon: 0.122 = 12.2%.

c) Dolphin partaking in social activities given that that is around in the afternoon: 0.391 = 39.1%.

d) Dolphin group is around in the afternoon given that it is partaking in social activities: 0.145 = 14.5%.

e) Dolphin group is around in the morning given that it is partaking in social activities: 0.613 = 61.3%.

f) Dolphin group is around in the morning and is partaking in social activities: 0.201 = 20.1%.

g) Dolphin group is around in the morning or is partaking in social activities: 0.508 = 50.8%.

The probability of an event in an experiment is calculated as the number of desired outcomes of the experiment divided by the number of total outcomes of the experiment.

Hence, for each item in the problem, we have to identify the number of desired outcomes and the number of total outcomes to find the probability.

The outcomes are as follows:

Hence the probability is:

p = 62/189 = 0.328 = 32.8%.

The outcomes are as follows:

Hence the probability is:

p = 23/189 = 0.122 = 12.2%.

The outcomes are as follows:

Hence the probability is:

p = 9/23 = 0.391 = 39.1%.

The outcomes are as follows:

Hence the probability is:

p = 9/62 = 0.145 = 14.5%.

The outcomes are as follows:

Hence the probability is:

p = 38/62 = 0.613 = 61.3%.

The outcomes are as follows:

Hence the probability is:

p = 38/189 = 0.201 = 20.1%.

The outcomes are as follows:

Hence the probability is:

p = 96/189 = 0.508 = 50.8%.

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The period of the function f(t) = 2.3cos(0.25t) is 8π. Hence, the correct answer is d) period 8π.

To determine the period of the function f(t) = 2.3cos(0.25t), we need to consider the coefficient of t inside the cosine function.

In this case, the coefficient is 0.25, which represents the frequency of the cosine function. The period of a cosine function is given by the formula T = 2π/frequency.

Using this formula, we can calculate the period of the function f(t) as follows

T = 2π / 0.25

T = 8π

Therefore, the period of the function f(t) = 2.3cos(0.25t) is 8π.

Hence, the correct answer is d) period 8π.

The period of a function represents the length of one complete cycle or the distance between two consecutive identical points on the graph of the function. In this case, the function is a cosine function, and the period determines how long it takes for the function to repeat its values

The coefficient 0.25 in the function f(t) = 2.3cos(0.25t) affects the frequency of the cosine function. A smaller coefficient results in a slower oscillation, while a larger coefficient leads to a faster oscillation. In this case, since the coefficient is 0.25, it means that the function completes one full cycle within 8π units of time.

Understanding the period of a function is crucial for analyzing its behavior, identifying the frequency of oscillation, and studying its repetitive patterns.

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Answer:

It doesn't have an exponent.

Answer:  4  inches

Step-by-step explanation:

1. We gonna find the the length of the right triangle legs using Phitagor theorem.

c²=a²+b²  (1)   , where c is triangle's  hypotenuse

a and b are the triangle's  legs.

Let the leg a =x,    so leg b=x+1 inches

Now we can write the equation using (1)

25=x²+(x+1)²

25=x²+x²+2*x+1

2*x²+2*x-24=0     ( divide by 2 both sides of the equation)

x²+x-12=0

Find the discriminant D=1+12*4=49

√D=7

x1= (-1+7)/2=3     x2=(-1-7)/2=-4 - x2=-4 not possible so length of the leg can not be negative.

So the shorter leg a=x= 3 inches

The longer leg b=x+1=4 inches

The correct average mark of the class is 66.

Mean of a set of data is defined as the average of all the values. It gives the exact middle point of the data set.

Average mark of the class is same as it's mean.

There are 20 students in the class.

Let x₁, x₂, ........., x₂₀ be the mark of each student.

Average mark = (x₁ + ...... + x₂₀) / 20

(x₁ + ...... + x₂₀) / 20 = 65

x₁ + ...... + x₂₀ = 1300

But one of the mark is recorded as 35 instead of 55.

x₁ + .... + 35 + ..... + x₂₀ = 1300

x₁ + .... + (35 + 20) +..... + x₂₀ = 1300 + 20

x₁ + .... + 55 + .......+ x₂₀ = 1320

(x₁ + .... + 55 + .......+ x₂₀) / 20 = 1320/20

(x₁ + .... + 55 + .......+ x₂₀) / 20 = 66

Hence 66 is the correct average mark of the class.

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The solution to the system of equations is:

(x, y) = (-7, -8)

Given the pair of equations:

-9x + 3y = 39 .....................................................(1)

-7x + 2y = 33 .....................................................(2)

Multiply (1) by 2

-18x + 6y = 78 ....................................................(3)

Multiply (2) by 3

-21x + 6y = 99 ..................................................(4)

Subtract (4) from (3)

-18x - (-21x) = 78 - 99

-18x + 21x = -21

3x = -21

x = -21/3 = -7 ......................................................(5)

Using (5) in (1)

-9(-7) + 3y = 39

63 + 3y = 39

3y = 39 - 63 = -24

y = -24/3 = -8

-

Answer:

y= -4.9x+1042

r= -0.969

Step-by-step explanation:

strong negative correlation.