The diagram represents a triangular prism. Calculate the correct surface area for the image.


Formula: SA = bh + 2ls + lb

Step-by-step explanation:

n -1  077 1/ 7198

12710 27];8w4[' 4108472 1p4201

\421 -]462] -40182 4 '12;il4y01

Q.2: A review of the t-test on the significance of individual independent variable suggests that, based on the p-values. None of the independent variables could be retained. This is because if the p-value is high, it means the significance is low.

Q3: Choose the right option below. Based on the full regression model involving all of the independent variables. VIF for Size = 5.3352, VIF for Fireplace = 10.1873, VIF for bedrooms = 2.7885.

Q.4: Based on VIF values, there is concern for collinearity in this dataset. True

Q5: Based on the normal probability plot, the normality assumption seems to be met. True

Q7: Based on conducting residual analysis the model seems. Adequate.

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The data set that lists the temperatures in Albany, NY each day in the month of February would be classified as time series data, as it represents a sequence of observations recorded over a specific period of time.

Time series data refers to a collection of observations or measurements taken at regular intervals over time. In the case of the temperatures in Albany, NY each day in the month of February, the data set represents a sequence of daily temperature measurements recorded over the specific period of February. The data set captures the variation and patterns of temperature changes throughout the month, allowing for analysis of seasonal trends, fluctuations, and other temporal patterns. Time series data is commonly used in various fields, such as weather forecasting, economic analysis, and environmental monitoring, to understand and predict trends and patterns over time.

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The correct option is C) 12 seconds. Period refers to the time it takes for one full rotation or cycle to occur on an object or wave.

A period may be identified by examining how long it takes for a complete oscillation or vibration to take place. Furthermore, the period of a wave is the amount of time it takes for one cycle to be completed. A merry-go-round, also known as a roundabout or carousel, is an amusement ride with a circular platform that rotates around a vertical axis.

According to the question, Aubrey watches a merry-go-round for a total of 2 minutes and notices the black horse pass by 15 times. Period of the black horse = Total time/Number of cycles= 2 minutes / 15 cycles = 8 seconds per cycle= 8/2= 4 seconds.

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The slope is 5. The slope of a line parallel to this equation will be 5, regardless of its position.

To find the line that goes through the point (3,5) that has slope = 5.

y = 5x + b

now use the point to find 'b'

5 = 5(3) + b

b = -10

perpendicular: \(\frac{1}{2}\)

\(y-0.5= \frac{1}{2} \times(x + 0.5)\)

\(y - 0.5 = \frac{1}{2}x + 0.25\)

\(y = \frac{1}{2}x+\frac{3}{4}\)

What is Slope?

The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

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Answer:

I had to screenshot from my computer because it said (you have an inappropriate word or link in your answer)    

we do things called culture monday at our school where we write about a problem and then do a discussion on it in the classroom

this was mine so nooooo plagiarism or anything.

please mark brainliest......

Answer:

World War II started on September 1st, 1939, a decade after America’s stock market crash and downfall of the economy, which was in 1929, when Germany, led by a man born in Austria called Adolf Hitler, invaded Poland. France and England immediately declared war on Germany and Germany’s allies.

Germany had two allies, Japan and Italy, Italy mostly provided food and supplies, while Japan provided manpower, along with Germany. Germany, Japan, and Italy were called the Axis powers, and England, Russia (Then called the Soviet Union), and America (When America joined the war), along with many other countries, such as China and France (Except for the four years which Germany occupied France, 1940--1944), were called the Allied powers.

Germany invaded and occupied Austria, Belgium, France, Norway, Luxembourg, Greece, Czechoslovakia, Greece, Denmark, Holland, Hungary, the Netherlands, and many other countries with the help of Italy and Japan.

The United States wanted to be neutral through World War II like the Irish and Swiss, but the Axis Powers did not let this happen. Instead, Japan bombed Pearl Harbor and utterly destroyed and sunk many ships, so the United States had no choice but to join the war and the Allied forces.

The United States both lost and won many battles, and Germany was losing battles against the Soviet Union and England. Germany lost many battles in the Soviet Union, which was fought in harsh and bitter cold, and also lost the Battle of Britain fought in the skies over England between Britain’s Royal Air Force (RAF) and Germany’s Luftwaffe.

Many people died as a result of the Battle of Britain by bombs and flying shrapnel. In order to try to get their country back to normal, Great Britain started to ration food, drafted men over eighteen to go to the war front, made shelters all over England, in cities, towns, even in the country, in case of an air raid. The Battle of Britain was mostly fought in the skies of London, but enemy planes heading towards London to fight might drop a bomb to wipe away towns, cities, or a part of country off the map.

Germany soon retreated from Great Britain and thought that England would surrender with the rest when Germany conquered and ruled the world, which was Germany’s goal, but England, after some recovery, fought Germany as hard as ever, angered by the people and planes lost because of the Battle of Britain.

In the middle of this, President Franklin Delano Roosevelt died because of a mixture of bad health, too much stress, and his polio. Americans grieved for President Roosevelt, and elected a new president, President Harry Truman.

With forces fighting with both the Soviet Union and England, and later fighting on D-Day, Germany could not last for long, even with its two allies. But the number of allies Germany had soon reduced to one, for Italy joined the Allied powers, betraying the Axis Powers. Germany  desperately tried to fight back the forces of the Allied powers, but soon surrendered days after Adolf Hitler’s death, on May 8th, 1945.

Even when its ally Germany had surrendered and Italy had gone over to the Allies, Japan still fought, even though there was very little chance they would win. This was a bad idea, an idea which would change history. The Allied powers turned their full attention on defeating Japan, which was a bad thing, since Japan could only take over a few islands in the Pacific belonging to the United States and could not defeat any others in the beginning when the Allied powers’ attention was divided. As a result, many, at least hundreds, died, deaths that were not even necessary. The United States dropped two atomic bombs from one of America’s bomber planes on Japan’s two major cities, Hiroshima and Nagasaki days apart, so Japan surrendered, unable to lose any more people then it had already.

The two atomic bombs were built in the midst of fighting and stress of World War II in Manhattan, New York by a group of people who specialized in physics, math, and chemistry. The atomic bomb’s code name was: The Manhattan Project. The Manhattan Project, when done and ready, after dropped from an American bomber plane, killed over a hundred thousand Japanese in the two major cities Hiroshima and Nagasaki, most of them regular Japanese civilians going about their daily life.

World War II was a very important war and time period that changed the world. It changed the human race. The atomic bomb, invented in World War II, soon led other countries, such as England, France, the Soviet Union (Later known as Russia), and China to build it too, which gave these countries a huge advantage in war. America’s stock market bounced back. President Harry Truman became popular for ending World War II.

Step-by-step explanation:

Sorry I'm late

803 words

Answer:

Step-by-step explanation:

factors of 8

Answer:

F- of a 8* i think

Step-by-step explanation:

Answer:

$517

Step-by-step explanation:

take 10 of 470, youll get 47 and the total is 470+47=517

Two angles are called complementary when the sum of their measures is 90°.

That is:

7.9 + x = 90°

x = 90-7.9

x = 82.1°

The measure of its complementary angle is 82.1 °C.

Answer:

82.1

Step-by-step explanation:

Complementary angles are two angles the add up to 90 degrees, so if one is 7.9 degrees, then the other has to be 82.1 degrees to add up to 90 degrees. HOPE THIS HELPS!!!

The loan amount that Ahmad needs to relay will be RM 901600

From the information, Ahmad obtained a car loan of RM 700000 from a bank with an interest rate of 3.2% per annum for 9 years.

The interest based on the information will be:

= Principal × Rate × Time

= 700000 × 3.2% × 9

= $201600

The loan amount that Ahmad needs to relay will be:

= 700000 + 201600

= 901600

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By Using Pythagorean Theorem, the value of x is 6.2 units.

Pythagorean Theorem:

In mathematics, the Pythagorean Theorem or Pythagorean Theorem is the fundamental relationship in Euclidean geometry between the three sides of a right triangle. It states that the area of ​​a square whose side is the hypotenuse (opposite the right angle) is equal to the sum of the areas of the squares on the other two sides. This theorem can be written as an equation for the lengths of sides a, b and hypotenuse c and is often called the Pythagorean equation.

                              a² +b² =c²

Now,

By using the Pythagorean theorem:

Hypotenuse² =  Perpendicular² + Base²

Now,

In the Δ ABD

As given

DB² = DA² + AB²

As given

DB = 13 units

AB = 9 units

Putting values in the above

13² = 9²+ DA²

169 - 81 = DA²

88 = DA²

Now,

In ΔABC

AB² = AC² + CB²

(As given AB = 9 units , CB = x)

9² = AC² + x²

AC ² = 81 - x²

Now in ΔADC.

AD² = AC² + DC ²

As

AC ² = 81 - x²

DC = 13 - x

AD = \(\sqrt{88}\)

(√88)² = 81 -x² +( 13 - x²)

By using the formula (a + b)² = a² + b² + 2ab

    88 = 81 - x² + 13²- 2 × 13 × x + ²

⇒ 88 = 81 - x² + 13² - 26x + x²

⇒ 88-81 - 169 = -26x

⇒ 88-250 =-26x

⇒ -162 = - 26x

x = 6.2 (Approx.)

Therefore the value of x is 6.2 units.

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(a) The differential equation that is satisfied by y is:

\(\frac{dy}{dt} = ky(1-y)\)

(b) To solve the differential equation, we separate the variables and integrate both sides:

\(\frac{dy}{y*(1-y)} = k*dt\)

Integrating both sides, we get:

\(\frac{lnly}{1-y} = k*t +c1\)

where C1 is an arbitrary constant of integration.

We can rewrite the equation in terms of y:

\(\frac{y}{1-y} = e^{(k*t+c1)}\)

Multiplying both sides by (1-y), we get:

\({y} = e^{(k*t+c1)} *(1-y)\)

\(y= \frac{C}{(1+(c-1)e^{-kt} }\)

where C = y(0) is the initial fraction of the population who have heard the rumor.

(c) In this case, the initial fraction of the population who have heard the rumor is y(0) = \(\frac{100}{1300}\) = 0.077. At noon, half the town has heard the rumor, so y(4) = 0.5.

Substituting these values into the equation from part (b), we get:

\(0.5= \frac{0.077}{1+(0.777-1) e^{-k4} }\)

Solving for k, we get:

\(k= ln(\frac{12.857}{4} )\)

Substituting this value of k into the equation from part (b), and setting y = 0.9 (since we want to find the time at which 90% of the population has heard the rumor), we get:

\(0.9= \frac{0.077}{1+(0.777-1) e^{-ln(12.857}*\frac{t}{4} }\))

Solving for t, we get:

t = 8.7 hours after the beginning (rounded to one decimal place)

A differential equation is a mathematical equation that relates a function to its derivatives. It is a powerful tool used in many fields of science and engineering to describe how physical systems change over time. The equation typically includes the independent variable (such as time) and one or more derivatives of the dependent variable (such as position, velocity, or temperature).

Differential equations can be classified based on their order, which refers to the highest derivative present in the equation, and their linearity, which determines whether the equation is a linear combination of the dependent variable and its derivatives. Solving a differential equation involves finding a function that satisfies the equation. This can be done analytically or numerically, depending on the complexity of the equation and the available tools.

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The solution of the inequality is,

⇒ q = 11

We have to given that;

The inequality is,

⇒ 56 ≤ 3 + 6q

Now, We can simplify as;

⇒ 56 ≤ 3 + 6q

⇒ 56 - 3 ≤ 6q

⇒ 53 ≤ 6q

⇒ 8.33 ≤ q

Hence, By options, The solution of the inequality is,

⇒ q = 11

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We can sketch the graph of the function f(x) = x⁴ - 3x³ + x - 3 by plotting the points,  (1, - 4), (- 1, 0), (- 2, 35), and (2, - 9).

A polynomial is an algebraic expression.

A polynomial of degree n in variable x can be written as,

a₀xⁿ + a₁xⁿ⁻¹ + a₂xⁿ⁻² +...+ aₙ.

given, A polynomial function f(x) = x⁴ - 3x³ + x - 3.

Now, To graph this bi-quadratic polynomial, we can assume some arbitrary values for 'x' than correspond to some different values of 'y'.

At, x = 1, f(x) = (1)⁴ - 3(1)³ + (1) - 3 = - 4.

Similary, At x = - 1, f(x) = 0.

At = x = - 2, f(x) = 35.

At x = 2, f(x) = - 9.

So, The coordinate points are, (1, - 4), (- 1, 0), (- 2, 35), and (2, - 9).

Now we can plot these points and join the curve by free hand.

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The amount should be around $130,000 must be invested today at 10 % to be worth $271,000 in 10 years. A = $271,000k = 0.1t = 10 years P = Ae^{-kt}P = $271,000e^{-0.1*10}P ≈ $108,347.39 The closest answer is b. $130,000.

The question is to find out how much must be invested today at 10 %, compounded continuously, to be worth $271,000 in 10 years. Using the formula for continuously compounded interest: A = Pe^{rt}, where A is the amount at the end of the investment period, P is the principal, e is the exponential function, r is the annual interest rate, and t is the number of years.

A = Pekt, where k = 0.10 is the annual interest rate and e is a constant equal to 2.71, is a more straightforward version of the formula.P = Ae-kt, where A = PektWe are informed that the sum will be $271,000 in total. So, A = $271,000,000 = 0.1 trillion = 10 years. P = Ae-kt; P = $271,00e-0.1*10; P $108,347.39;The closest response is b, which is $130,000.

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Answer:

-6k(k-4)

Step-by-step explanation:

2k-2*4k-2*12

Factor out common terms:

2(k-4k-12)

Factor out k-4k-12:

2(-3(k+4))

Refine:

-6k(k-4)

Answer:

5 apples

Step-by-step explanation:

4 friends + Robby = 5 people

25 apples in total ÷ 5 people

= 5 apples per person

Therefore, the equation x^3 - 15x + c = 0 has at most one root in the interval (-2, 2).

To show that the equation x^3 - 15x + c = 0 has at most one root in the interval (-2, 2), we can use the concept of the Intermediate Value Theorem and Rolle's Theorem.

Let's assume that the equation has two distinct roots, denoted as a and b, in the interval (-2, 2). Without loss of generality, we assume a < b.

Since the function is continuous on the closed interval [-2, 2] and differentiable on the open interval (-2, 2), we can apply Rolle's Theorem. According to Rolle's Theorem, there exists a point c in the open interval (a, b) such that the derivative of the function at c is zero.

Consider the derivative of the function f(x) = x^3 - 15x + c:

f'(x) = 3x^2 - 15

Setting f'(c) = 0, we have:

3c^2 - 15 = 0

c^2 - 5 = 0

c^2 = 5

Taking the square root of both sides, we get:

c = ±√5

Now, let's consider the function values at the endpoints of the interval (-2, 2):

f(-2) = (-2)^3 - 15(-2) + c = -8 + 30 + c = 22 + c

f(2) = (2)^3 - 15(2) + c = 8 - 30 + c = -22 + c

If c = √5, then f(-2) = 22 + √5 and f(2) = -22 + √5.

If c = -√5, then f(-2) = 22 - √5 and f(2) = -22 - √5.

In either case, the function values at the endpoints have different signs. This implies that there exists at least one value, say k, in the interval (-2, 2) such that f(k) = 0, according to the Intermediate Value Theorem.

However, we assumed at the beginning that there are two distinct roots in the interval (-2, 2), denoted as a and b. This contradicts our finding that there is at most one root in the interval. Hence, our assumption of having two distinct roots is false.

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Answer:

D. The probability of selecting an orange is ³/₅.

Step-by-step explanation:

A is incorrect because there would be 4 apples combined (3 from bag one, 1 from bag two). That makes the chance of selecting an apple 2/5 (40%), not 3/10 (30%).

B & C are incorrect because 4/10 (40%) is less than 6/10 (60%)

That leaves D, which state that you have a 60% (3/5) chance selecting an orange, as our answer. That is correct as 3/5 = 6/10 = 60%.

I believe that the answer is 21.48

The factory would need approximately a circumference of 21.98 feet of the braid to go all the way around the outside of the circular rug.

We have,

The formula for the circumference (C) of a circle is:

C = 2πr

where r is the radius of the circle and π is a mathematical constant approximately equal to 3.14.

In this case, the radius of the rug is 3.5 feet, so we can calculate the circumference as:

C = 2 × 3.14 × 3.5 = 21.98 feet

Therefore,

The factory would need approximately a circumference of 21.98 feet of the braid to go all the way around the outside of the circular rug.

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The value of ∠BAC is 50°. Hence, the correct option is 50º.Given, AD is tangent to circle B at point C. ∠ABC = 40°.We need to find the value of ∠BAC.Therefore, let's solve this problem below:As AD is tangent to circle B at point C, it forms a right angle with the radius of circle B at C.

∴ ∠ACB = 90°Also, ∠ABC is an external angle to triangle ABC. Therefore,∠ABC = ∠ACB + ∠BAC = 90° + ∠BACNow, putting the value of ∠ABC from the given information, we get,40° = 90° + ∠BAC40° - 90° = ∠BAC-50° = ∠BAC

Therefore, the value of ∠BAC is 50°. Hence, the correct option is 50º.

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Answer:

A) enable a project to have sufficient technical support for projects with challenging and complex technology.

Internal integration tools refer to software or other technologies that facilitate collaboration and communication within a project team. These tools can include project management software, communication platforms, and other applications that help project teams work together more effectively.

One of the main benefits of internal integration tools is that they can provide technical support for projects with challenging and complex technology. For example, project management software can help teams manage complex schedules and resource allocations, while collaboration platforms can facilitate communication and information sharing among team members.

While internal integration tools may support documentation and monitoring of project plans (B), portraying a project as a network diagram (C) is more commonly associated with project scheduling software, and linking the work of the implementation team with users (D) and enabling end-user communication with system developers (E) are more closely associated with user engagement and support tools.

Answer:

w= A / l

Step-by-step explanation:

A = lw

Where,

A= Area of a rectangle

l= Length of a rectangle

w= width of a rectangle

Area of a rectangle = length × width

Solve the formula(equation) for width(w).

A= lw

Divide both sides by l

A / l = lw / l

A / l = w

Width = Area of the rectangle / length of the rectangle

Example: Find the width of the rectangle with length of 6 inches and Area of 12 square inches.

A= 12 square inches

l= 6 inches

w= x inches

A= lw

w= A / l

= 12 / 6

= 2

w = 2 inches

Answer:

Step-by-step explanation:

The function is g(t) = -16t² + vt + h

At h = 0 and v = 80 we get the function:

We know g(t) can't be negative, then:

Correct option is B

Answer:

The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.

Answer:

Here is the graph of the equation and its inverse.

The inverse is the purple graph.

Explanation:

• The base of the equation is 8.

• There is no vertical shift to the graph because there's no constant added to the function f(x) = 8^x.

• In addition, there is no horizontal shift to the graph because there's no constant added to the exponent x.

Answer:

n×m= number of books read

3×13= 39 books

Step-by-step explanation:

Using substitution for the original equation with m and n, you can find the number of books read by plugging in the numbers in place of the variables.