All real number except x=

The calculated volume of the prism is 702 cubic cm

From the question, we have the following parameters that can be used in our computation

The trapezoidal prism (see attachment)

The formula of the volume of a trapezoidal prism is

Volume = Base area * Height

Where we have

Base area = 1/2 * (8 + 10) * 6

Evaluate the sum of 8 and 10

Base area = 1/2 * 18 * 6

Evaluate the products of 1/2, 18 and 6

Base area = 54

Also, we have

Height = 13

So, the volume is calculated as

volume = 13 * 54

Evaluate

volume = 702

Hence, the volume of the prism is 702 cubic cm

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Travis' famous letter, addressed to "The People of Texas and All Americans in the World," in which he passionately appealed for reinforcements and vowed to "never surrender or retreat," has become a symbol of the fortitude and sacrifice displayed by the Texan defenders at the Alamo.

The commander of the Texan forces at the Alamo during the famous battle in 1836 was Colonel William B. Travis. Travis, a lawyer and soldier, was chosen as the leader of the Texan garrison at the Alamo, a former mission turned fortress in San Antonio, Texas. He assumed command of the Texan forces in early 1836 and played a crucial role in the defense of the Alamo against the Mexican army led by General Santa Anna.

Travis and his men, along with notable figures such as James Bowie and Davy Crockett, bravely defended the Alamo against overwhelming odds for thirteen days. Despite their courage and determination, the Texan defenders were ultimately overrun by the Mexican forces on March 6, 1836, and suffered heavy casualties, including the deaths of Travis, Bowie, and Crockett.

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Answer:

Therefore, the constant of proportionality for the given proportional relationship is 5.

Step-by-step explanation:

To determine the constant of proportionality in the given proportional relationship, we can use the formula:

Constant of Proportionality = Tickets / Games

Let's plug in the values from the table:

For the first set of values (4 games and 20 tickets):

Constant of Proportionality = 20 / 4 = 5

For the second set of values (7 games and 35 tickets):

Constant of Proportionality = 35 / 7 = 5

For the third set of values (10 games and 50 tickets):

Constant of Proportionality = 50 / 10 = 5

In all three cases, the constant of proportionality is equal to 5.

Therefore, the constant of proportionality for the given proportional relationship is 5.

Answer: Scalane acute

Step-by-step explanation:

Answer:

Equilateral Acute.

Step-by-step explanation:

A triangle with 3 congruent angles is an equalateral triangle and all sides are acute

Answer:

-6+2i

Step-by-step explanation:

f(2i)=2i^2+2i-4

2i^2 is -2 because i^2 is-1, times 2 is -2.

Therefore, the equation becomes -2+2i-4, leaving the answer of -6+2i.

Answer:

In the image

Hope this helps!

Step-by-step explanation:

Answer:

Step-by-step explanation:

To find the number that Grace thought:

We'll represent the unknown number as "x."

"Added 7": This can be represented as (x + 7).

"Multiplied by 3": This becomes 3 * (x + 7).

"Took away 5": This is represented as 3 * (x + 7) - 5.

"Divided by 4": This gives (3 * (x + 7) - 5) / 4.

"To give an answer of 7": The equation is (3 * (x + 7) - 5) / 4 = 7.

Now we can solve for x:

(3 * (x + 7) - 5) / 4 = 7

Multiply both sides by 4 to eliminate the denominator:

3 * (x + 7) - 5 = 28

Simplify the left side:

3x + 21 - 5 = 28

Combine like terms:

3x + 16 = 28

Subtract 16 from both sides:

3x = 12

Divide both sides by 3:

x = 4

Therefore, the number that Grace thought of is 4.

Hello!

surface area

= 2(4 x 2) + 2(12 x 4) + 2(12 x 2)

= 160cm²

Answer:

8.0 × 10^-3 ÷ 4.0 × 10^4

= 2.0 × 10^-3-4

= 2.0 × 10^-7

or 0.0000002

You would have 6,000 nickels. Multiply 40 by 150

There are 6000 Nickels in 150 rolls of Nickle.

To find out the total number of nickels you have, you need to multiply the number of nickels in a single roll by the number of rolls.

Given that there are 40 nickels in a roll and you have 150 rolls..

So, the total number of nickels can be calculated as:

= 40 nickels/roll x 150 rolls

= 6000 nickels.

Therefore, you have 6000 nickels.

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The errors made by Carlo in using the number line to find the product include:

Carlo was multiplying 2 and - 3 and yet the arrow started from negative 2. It should instead have started from 0 to show that this is where the multiplication problem starts from.

The arrows should also both have a length of 3 to show that 2 is being multiplied by 3. This arrow will then be counted twice from 0 to show the product. As this is negative 3, the arrow would go left as Carlo did so they were right in that instance.

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The full question is:

Carlo used this number line to find the product of 2 and −3. A number line going from negative 7 to positive 3. An arrow goes from negative 2 to negative 4, and from negative 4 to negative 6. What errors did Carlo make? Select two options.

The arrows should each be a length of 3.

The arrows should be pointing in the positive direction.

The arrows should start at zero.

The arrows should point in the negative direction.

Answer:

Step-by-step explanation:

IF 17 is in base 10

THEN

17₁₀ = 1 x 10¹ + 7 x 10⁰

10001₂ = 1 x 2⁴ + 0 x 2³ + 0 x 2² + 0 x 2¹ + 1 x 2⁰

32₅ = 3 x 5¹ + 2 x 5⁰

The F ratio is 1.2.

What is statistic?

The study of statistics focuses on gathering, organizing, organizing, analyzing, interpreting, and presenting data. It is customary to start with a statistical population or a statistical model to be researched when applying statistics to a scientific, industrial, or social problem.

30/25 = 1.2

In an ANOVA, this statistic is used in the F test to test the hypothesis that the group means are not equal to one another. The F ratio is calculated as follows:

Fobs=MSB/MSW

30/25 = 1.2

Where MSB is the mean square between the groups and MSW is the mean square within the groups.

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Answer:

The probability that there is a sporting event with the garage full is:

= 14%

Step-by-step explanation:

Data on college events on evenings:

Academic events = 35%

Sporting events = 20%

No events = 45%

With academic events, the garage fills up 25% of the time

With sporting events, the garage fills up 75% of the time

With no events, the garage fills up 5% of the time

The probability that there is a sporting event with the garage full when Jose comes to campus is given as:

Probability of sporting events x probability of garage filling up

= 20% * 70%

= 0.14

= 14%

Answer:

a(t) = -8t + 124

Step-by-step explanation:

The number of apples left 3 days after picking them is given by the following equation:

\(a(t) = mt + b\)

3 days after picking apples, a family had 100 apples left.

This means that \(a(3) = 100\)

So

\(100 = 3m + b\)

\(3m + b = 100\)

\(b = 100 - 3m\)

After 6 days, 76 apples were left.

So a(6) = 76. Then

\(76 = 6m + b\)

Since b = 100 - 3m

\(76 = 6m + 100 - 3m\)

\(3m = -24\)

\(m = \frac{-24}{3}\)

\(m = -8\)

b:

\(b = 100 - 3m = 100 - 3*(-8) = 124\)

So

a(t) = -8t + 124.

Answer: Kenny made 125 * $2 = $250 from 125 gracious waves.

He made 300 * $3 = $900 from 300 vigorous waves.

So, he made a total of $250 + $900 = $1150.

After paying the doctor bill, he has $1150 - $150 = $1000 left.

Step-by-step explanation:

The amount of money that Kenny made after completing the number of gracious waves and vigorous waves would be = $1000.

The amount that Kenny charges for gracious waves= $2

The amount of money that he charges for vigorous wave = $3.

The total number of completed gracious waves = 125

The amount made for gracious waves = 2× 125 = $250

The total number of completed vigorous waves = 300

The amount made for vigorous waves = 3×300 = $900

The total amount made in both waves = 250+900= $1,150

The bill to be payed to doctor = $150

The amount left = 1,150- 150 = $ 1000

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The percentage change in GDP is 2.04%

Percentage Change is the difference coming after subtracting the old value from the new value and then divide by the old value and the final answer will be multiplied by 100 to show it as a percentage. Generally, to convert a fraction into a percent, we multiply it by 100.

The formula of percentage change is given as

Percentage change =[ (New increase - old value) / old value] * 100

Percentage change = [(14.72 - 14.42) / 14.72] * 100

Percentage change = 2.04%

In this case, there is a percentage decrease of 2.04%

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The predicted population in the year 2030 is 10 people

From the question, we have the following parameters that can be used in our computation:

Population function, P(t)= 15е⁻⁰.⁰¹²⁺

Also from the question, we have

The variable t represents the number of years since 2020

This means that the value of t in 2030 is

t = 2030 - 2020

t = 10

So, we have

P(10)= 15е⁻⁰.⁰¹² ˣ ¹⁰

Evaluate the above products

P(10)= 15е⁻⁰.¹²

Evaluate the exponents

P(10)= 13.30

Approximate the above expression

P(10) = 13

This means that the number of people is 13

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The circle on a graph by drawing the center point and then drawing a circle around it with a radius of 6.

To graph the circle with the equation (x - 3)² + (y + 3)² = 36, we can start by finding the center and radius of the circle.

The equation of a circle in standard form is (x - h)² + (y - k)² = r² (h, k) represents the center of the circle and r represents the radius.

Comparing the given equation with the standard form, we can see that the center of the circle is (3, -3) and the radius is √36 = 6.

Using this information, we can proceed to plot the circle on a graph:

Plot the center point: (3, -3).

From the center point, move 6 units in each direction (up, down, left, and right) to determine the points on the circle.

Up: (3, -3 + 6) = (3, 3)

Down: (3, -3 - 6) = (3, -9)

Left: (3 - 6, -3) = (-3, -3)

Right: (3 + 6, -3) = (9, -3)

Connect the plotted points to form a circle.

The resulting graph should look like this:

    |            • (3, 3)

    |  

    |    •

    |                     •

__|_____________________________

    |

    |

    |

    |  

    |    • (3, -3)

The center of the circle is denoted by a solid dot (•) in the graph and the other points lie on the circumference of the circle.

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cos(tan^(-1)(-2/3)) simplifies to 3√13 / 13.

To evaluate the expression cos(tan^(-1)(-2/3)), we can use the trigonometric identity:

cos(tan^(-1)(x)) = 1 / √(1 + x^2)

In this case, x is -2/3. Substituting the value into the identity:

cos(tan^(-1)(-2/3)) = 1 / √(1 + (-2/3)^2)

Now, let's calculate the value:

cos(tan^(-1)(-2/3)) = 1 / √(1 + 4/9)

                   = 1 / √(13/9)

                   = 1 / (√13/3)

                   = 3 / √13

                   = 3√13 / 13

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Answer:

True

Explanation:

Bridget Riley was one of the most prominent artists associated with the 1960s 'Op Art' movement, which was an art movement that explored optical illusions and effects to create abstract art that played with the viewer's perception. However, there were many other artists associated with this movement, including Victor Vasarely, Richard Anuszkiewicz, and Yaacov Agam, among others.

Answer:

For #3 it is 7/56

Step-by-step explanation:

Multiply 7/8 by 7!

Given:-

To find the value when x = 2 and y = -3.

So we get,

It will take 15 days for the hair to grow from 12mm to 16.5mm

By "average rate" in this context, we mean the typical or usual amount of hair growth per unit of time, which is often measured in millimeters per day. This rate can vary slightly depending on factors such as age, gender, genetics, diet, and overall health.

Let's first find out how much the hair needs to grow by subtracting its initial length (12mm) from its target length (16.5mm):

16.5mm - 12mm = 4.5mm

Now we can divide this growth by the average rate of hair growth to find the number of days it will take to grow this much:

4.5mm ÷ 0.3mm/day = 15 days

Therefore, it will take 15 days for the hair to grow from 12mm to 16.5mm.

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First, you have to know that 5 minutes to 8:00 is 7:55.

"It is 12 minutes slow."

So the clock's 12 minutes behind, let's catch it up a bit. :)

7:55(am) + 12(mins) = 8:07(am)

~pinetree