HELPP! ITS DUE TODAY PLEASE

HELPP! ITS DUE TODAY PLEASE

Answers

Answer 1

The total area of the exercise room is 160 square feet.

The number of square yards equivalent to this total area is 17. 78 square yards.

Since the rubber flooring is sold in whole square yards, Juan must purchase exactly 18 square yards.

How to find the area ?

To find the area of the exercise room, you should divide it into two different rectangles and then add up their areas.

Rectangle 1 length = 16 ft

Rectangle 1 width = ( 13 - 6 ) = 7 ft

Rectangle 2 length = ( 16 - 8 ) = 8 ft

Rectangle 2 width = 6 ft

The area is therefore :

= ( 16 x 7 ) + ( 8 x 6 )

= 160 square feet

1 square yard is 9 square foot so 160 square foot is:

= 160 / 9

= 17. 78 square yards

The area of rubber flooring that Juan must purchase would then be the whole number of 18 square yards which is 17.78 rounded up.

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Related Questions

What transformation is happening? (x,y) —> (2x, 3y)

Answers

The scaling factors need not be the same, and this transformation scales the x-axis by a different factor than the y-axis, resulting in a non-uniform scaling.

What is Transformation axes ?

Transformation axes refer to the new coordinate axes after a transformation is applied to a given set of coordinates or points.

The transformation (x, y) → (2x, 3y) is a linear transformation that stretches the x-coordinate by a factor of 2 and the y-coordinate by a factor of 3, while keeping the origin fixed.

This transformation is an example of a scaling transformation, where the scale factor along the x-axis is 2 and along the y-axis is 3.

Visually, this transformation will stretch out the graph horizontally and vertically, making objects appear larger or smaller depending on their position relative to the x and y axes.

Therefore, The scaling factors need not be the same, and this transformation scales the x-axis by a different factor than the y-axis, resulting in a non-uniform scaling.

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Find volume in terms of pi

Answers

The volume of the figure is 93π

How to determine the volume of the figure

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

The composite figure

The volume is calculated as

Volume = Cone + Cylinder

Using the above as a guide, we have the following:

Volume = 1/3πr²(H - h) + πr²h

Substitute the known values in the above equation, so, we have the following representation

Volume = 1/3π * 3² * (15 - 8) + π * 3² * 8

Evaluate

Volume = 93π

Hence, the volume is 93π

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Please help!!

Complete the identity

cos^2 θ/2=?

Answers

Answer:

cos^2 θ/2 = (cos θ + 1)/2.

Step-by-step explanation:

We can use the identity cos 2θ = 2cos^2 θ - 1 to derive an identity for cos^2 θ/2:

cos 2(θ/2) = cos θ

Replacing θ/2 with x:

cos 2x = cos 2(x/2)

Using the double angle formula for cosine:

cos 2x = 2cos^2 x - 1

Substituting θ/2 for x:

cos θ = 2cos^2 (θ/2) - 1

Rearranging this formula, we can solve for cos^2 θ/2:

2cos^2 (θ/2) = cos θ + 1

cos^2 (θ/2) = (cos θ + 1)/2

Therefore, cos^2 θ/2 = (cos θ + 1)/2.

write the equation of a line parallel to 12x+8y=-40 through the point (6,-3)

Answers

Answer: To find the equation of a line parallel to 12x + 8y = -40, we need to first rearrange the equation into slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.

12x + 8y = -40

8y = -12x - 40

y = -1.5x - 5

So, the slope of the line is -1.5.

Since the line we want is parallel to this line, it will have the same slope, which is -1.5. Now we can use the point-slope form of a line to find the equation:

y - y1 = m(x - x1)

where (x1, y1) is the point through which the line passes, and m is the slope.

Substituting (6,-3) and -1.5 for x1, y1, and m respectively, we get:

y - (-3) = -1.5(x - 6)

y + 3 = -1.5x + 9

y = -1.5x + 6

So the equation of the line parallel to 12x + 8y = -40 through the point (6,-3) is y = -1.5x + 6.

Step-by-step explanation:

9. Leroy received a stamp for his collection as a gift. When he received the stamp, it was worth $14.50.
The value of the stamp increases by 2% each year.
a. Write an equation for the value of the stamp V after t years.
b. Use the equation to predict the value of the stamp after 18 years.

Answers

Therefore, the stamp's estimated value is $21.54 considering that when he first got it, it was only worth $14.50.

What is equation ?

A mathematical assertion that two expressions are equivalent is known as an equation. The equal symbol (=) separates the two sides, which are labeled as the left-hand side (LHS) and the right-hand side (RHS). The equation must have identical values on both sides, and it is frequently used to determine an unknown variable's value.

Numerous mathematical processes, such as addition, subtraction, multiplication, division, exponents, logarithms, and more, can be used in equations.

given

a. The formula for the stamp's worth V after t years is as follows:

[tex]V = 14.50(1 + 0.02)^t[/tex]

where t is the period of time since Leroy got the stamp, and 0.02 denotes a 2% annual increase in value.

b. We enter t = 18 into the equation to estimate the stamp's value after 18 years:

[tex]V = 14.50(1 + 0.02)^{18[/tex]

[tex]V = 14.50(1.02) (1.02)^{18[/tex]

V = 14.50(1.485) (1.485)

V = 21.54

Therefore, the stamp's estimated value is $21.54 considering that when he first got it, it was only worth $14.50.

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Design n activity to teach Grade R learners about sharing with remainders. Indicate theme in which your activity will be based on

Answers

Use the cookies to teach basic fractions, such as one-half or one-third of a cookie.

What is Activity ?

An activity is a task, exercise, or action that is carried out for a specific purpose or goal. It can be an organized event or a spontaneous action that requires some level of effort or engagement from participants.

Begin by gathering the Grade R learners together and introduce the theme "Sharing Treats with Friends" and the concept of sharing with remainders. Explain to the learners that sometimes when we share treats with our friends, we might not have enough for everyone to have an equal amount.

Place the bag of cookies on the plate and ask the learners to estimate how many cookies are in the bag. Write their guesses on the board or chart paper.

Open the bag of cookies and count how many there are. Record the actual number of cookies on the board or chart paper.

Explain that the learners will be sharing the cookies with their friends, but they must make sure that everyone gets the same number of cookies. Divide the class into small groups of three or four learners.

Instruct each group to count the number of cookies in the bag and divide them equally among the members of the group. If there are any remaining cookies, they should be placed on the plate.

Ask the learners to share their results with the class. Some groups may have exactly the same number of cookies, while others may have remainders. Write their results on the board or chart paper.

Discuss with the learners how they can share the remaining cookies equally among their group members. For example, they could break the remaining cookies into smaller pieces or take turns sharing the last cookie.

Give the learners a chance to practice sharing with remainders by repeating the activity with different amounts of cookies and different group sizes.

As a conclusion, ask the learners to reflect on the activity and discuss how it felt to share with their friends. Encourage them to think about why sharing is important and how it can make everyone feel happy.

Optional extension activities:

Have the learners draw pictures or write stories about sharing treats with their friends.

Therefore, Use the cookies to teach basic fractions, such as one-half or one-third of a cookie.

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The displacement (in meters) of a particle moving in a straight line is given by the equation of motion s = 2/ t^2 , where t is measured in seconds. Find the velocity (in m/s) of the particle at times t = a, t = 1, t = 2, and t = 3.

Answers

As a result, the particle's velocity changes as time passes. It is -4/a³ m/s at time t = a, -4 m/s at time t = 1, -0.5 m/s at time t = 2, and -0.15 m/s at time t = 3.

What about the equation's meaning?

A mathematical equation, such as 6 x 4 = 12 x 2, states that two numbers or values are equivalent. a meaningful noun. When several or even more components need to be taken into account simultaneously in order to comprehend or describe the entire situation, an equation is used.

The derivatives of the displacing equation with time as a parameter is the particle's velocity.

v = ds/dt = d/dt (2/t²) = -4/t³

As a result, the particle's velocity at times t = a, t = 1, t = 2, and t = 3 is as follows:

v(a) = -4/a³

v(1) = -4/1³ = -4 m/s

v(2) = -4/2³ = -0.5 m/s

v(3) = -4/3³ = -0.15 m/s

The particle's velocity consequently varies over time. It is -4/a³ m/s at time t = a, -4 m/s at time t = 1, -0.5 m/s at time t = 2, and -0.15 m/s at time t = 3. Due to the fact also that velocity is negative for any and all values of t, the particle is travelling in the reverse way (i.e., to the left).

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Which of the following would not be a possible function for f (x) and g(x)

Answers

The following function won't produce the intended composite function:

f(x) = 8/x + 4

g(x) = 1/x²

What are functions?

A method or connection known as a function connects each element of a non-empty set A to at least one element of a second non-empty set B. A function in mathematics is a relation f between a set A (the function's domain) and a different set B (the function's co-domain).

In the given question,

When f(x) = 8/x + 4 and g(x) = 1/x²

Then (f o g(x)) = 8/1/x² + 4

= 8x² + 4

As a result, the following function would not produce the intended composite function:

f(x) = 8/x + 4

g(x) = 1/x²

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Sam wants to buy a video game that costs $125, He has already saved $50 so far. He tutors
a neighborhood kid to make extra money and earns $15 per session. Which inequality can
be used to determine the number of sessions, s, he needs to conduct to have enough money
to buy the video game?
A. 15x + 50 ≥ 125
B. 15x + 50 ≤ 125
C. 50x + 15 ≥ 125
D. 50x + 15 ≤ 125

Answers

Answer:

We can use inequality B to determine the number of sessions Sam needs to conduct. The reason is that he already has $50 and he wants to have enough money, so he needs to earn the remaining amount through tutoring. Thus, we can write the inequality as:

15s + 50 ≥ 125

where s is the number of tutoring sessions he needs to conduct. We can simplify and solve for s as follows:

15s ≥ 75

s ≥ 5

Therefore, Sam needs to conduct at least 5 tutoring sessions to have enough money to buy the video game.

Cómo convertir 3000m a km

Answers

Answer:

Step-by-step explanation:

1000m = 1km

So 3000m = 3km

Emilia is designing a prize wheel for her school. 200 students will spin the wheel once each. Emilia wants the expected number of winners to be 90. If the wheel is split into 40 equal-sized sections, how many of the sections should be marked as "win"?​

Answers

If Emilia wants the expected number of winners to be 90 out of 200 students, then the probability of winning must be 90/200 = 0.45.

Since the prize wheel is split into 40 equal-sized sections, the probability of winning on any given spin is 1/40 = 0.025.

Therefore, we can set up the equation:

0.025x = 0.45

where x is the number of sections marked as "win".

Solving for x, we get:

x = 0.45/0.025 = 18

So, Emilia should mark 18 of the 40 sections as "win" in order to achieve an expected number of 90 winners out of 200 spins.

express in exponential form (-2.5 + i4.2)​

Answers

Answer:

The given complex number is (-2.5 + i4.2).

To express it in exponential form, we need to find the modulus (r) and argument (θ) of the complex number.

The modulus is given by:

|r| = √((-2.5)^2 + (4.2)^2) = √(6.25 + 17.64) = √23.89 ≈ 4.888

The argument is given by:

θ = tan⁻¹(4.2/(-2.5)) = tan⁻¹(-1.68) ≈ -1.03 radians

Therefore, the exponential form of the complex number is:

(-2.5 + i4.2) = 4.888e^(-i1.03)

Simplify (6x2 − 3 − 5x3) − (4x3 + 2x2 − 8).

Answers

Answer:

9x^3 + 4x^2 + 5

Explanation:

Let's simplify step-by-step.

6x^2−3−5x^3−(4x^3+2x^2−8)

Distribute the Negative Sign:

=6x^2−3−5x^3+−1(4x^3+2x^2−8)

=6x^2+−3+−5x^3+−1(4x^3)+−1(2x^2)+(−1)(−8)

=6x^2+−3+−5x^3+−4x^3+−2x^2+8

Combine Like Terms:

=6x^2+−3+−5x^3+−4x^3+−2x^2+8

=(−5x^3+−4x^3)+(6x^2+−2x^2)+(−3+8)

=−9x^3+4x^2+5

How can you determine how many solutions a quadratic function has?
Determining how many x-intercepts the graph has
O Determining how many y-intercepts the graph has
Looking to see if the function opens downward
Looking to see if the function opens upward

Answers

Determing how many x intercepts the graph has, as those are the points when y = 0.

Which equations can be used to find the lengths of the legs of the triangle? Select three options.

0.5(x)(x + 2) = 24
x(x + 2) = 24
x2 + 2x – 24 = 0
x2 + 2x – 48 = 0
x2 + (x + 2)2 = 100

Answers

Given : A  = 24 sq feet

A = 0.5 base x height

base = x , height = x+2

A = 0.5 x(x+2)  = 24 sq feet

1) 0.5 x(x+2) = 24 (A)

2) x^2 + 2x - 48 = 0 (D)

To check the rest un-wrap the bracket:

x^2 + (x+2)^2 = 24

x^2 + x^2 + 4 + 4x = 24

2x^2 + 4x - 20 = 0

x^2 + 2x - 10= 0 (NO)

Likewise:

x^2 + (x+2)^2 = 100

x^2 + x^2  +4 + 4x = 100

2x^2 + 4x + 4 = 100

2x^2 + 4x - 96 = 0

3) x^2 + 2x - 48 = 0 (F)

To sum up: that's what apply:

1) 0.5 x(x+2) = 24 (A)

2) x^2 + 2x - 48 = 0 (D)

3) x^2 + 2x - 48 = 0 (F)

What is the volume of this rectangular prism 2, 7/3, 2

Answers

Answer:

The volume V of a rectangular prism is given by the formula V = lwh, where l, w, and h are the length, width, and height, respectively.

In this case, we have l = 2, w = 7/3, and h = 2. Therefore, the volume is:

V = (2)(7/3)(2)

V = 28/3

V = 9.33 (rounded to two decimal places)

So the volume of the rectangular prism is approximately 9.33 cubic units.

Can you please solve? TKSSSSS

Answers

Answer:

18π or

Step-by-step explanation:

To find the area of a semicircle, use the formula of the area of a semicircle.

Area = [tex]\frac{1}{2}[/tex] π r^2

Radius = 6

Area = [tex]\frac{1}{2}[/tex] π 6^2

Area = [tex]\frac{1}{2}[/tex] (36π)
Area = 18π (in terms of π)

Area = 56.52 (in terms of 3.14)

Please help urgently! Find all the missing angles in the diagram below. Explain how you used two different angle theories to find at least two missing angles.

Answers

The requried measures of angles a, b, c, and d are 97°, 15°, 68°, and 68° respectively.

What is the angle?

Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.

Here,
From the figure,
The calculation of the unknown angles is as follows,
112° and ∠d are supplementary angles.

So,
112 + ∠d = 180
∠d = 180 - 112
∠d = 68°

97° and angle a are corresponding angles, so
∠a = 97°.

112 and ∠c are also supplementary angles.
112 + ∠c = 180
∠c = 68°

Now,
∠a + ∠b  = 112
∠a + 97 = 112
∠a = 15°

Thus, the requried measure of angles a, b, c, and d are 97°, 15°, 68° and 68°.

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Help. Marked most brainlliest

Answers

Answer:

Incorrect

Step-by-step explanation:

In step one, when they multiplied exponents, they added them which is correct

Step two, they divided exponents, which means they should have subtracted. if they subtracted 6/5 and 2/5, it would have been

[tex]( {x}^{ \frac{4}{5} } )^{ \frac{1}{2} } [/tex]

Everything step by stepped

Answers

The number of touchdowns scored by this professional football team could be: C. 10.

What is a percentage?

In Mathematics, a percentage simply refers to any number that is expressed as a fraction of hundred (100). This ultimately implies that, a percentage indicates the hundredth parts of any given number.

In order to determine the number of points scored by the defense of this professional football team, we would use the following mathematical expression:

Number of points = 24/100 × 242

Number of points = 0.24 × 242

Number of points = 58.08

For the number of touchdowns, we have:

Number of touchdowns = 58.08/6

Number of touchdowns = 9.68 touchdowns.

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why is it not possible to form a right triangle with the lengths 4, 8, and 10? please explain!

Answers

Answer:

It is not possible to form a right triangle with the lengths 4, 8, and 10 because the longest side of the triangle must be shorter than the sum of the other two sides. This is known as the Pythagorean Theorem, which states that in a right triangle, the square of the longest side (the hypotenuse) is equal to the sum of the squares of the other two sides. Since 8² + 10² = 164, and 10 is greater than the sum of 4 + 8, it is not possible to form a right triangle with those three lengths.

In this case, assuming that 10 is the hypotenuse, we have:

10² = 4² + 8²

100 = 16 + 64

This equation is not true, as 100 is not equal to 80. Therefore, we cannot form a right triangle

Which expression is equivalent to (5−4i)(3−2i)(5−4i)(3−2i)?

Answers

The given expression equivalent to (5−4i)(3−2i)(5−4i)(3−2i) is -231 + 372i.

What is expression ?

In mathematics, an expression is a combination of numbers, variables, and operations that represents a value or a quantity. It can be a simple expression consisting of only one number or variable, or a complex expression consisting of several numbers, variables, and operations.

We can use the distributive property of multiplication to expand the given expression as follows:

(5−4i)(3−2i)(5−4i)(3−2i)

= (5−4i)(5−4i)(3−2i)(3−2i)

= (25 - 40i + 16i²)(9 - 12i + 4i²)

= (25 - 40i - 16)(9 - 12i - 4)

= (-231 + 372i)

Therefore, the given expression equivalent to (5−4i)(3−2i)(5−4i)(3−2i) is -231 + 372i.

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What is 974.362 rounded to the nearest tenth

Answers

Answer:

974.4

Step-by-step explanation:

Answer:

974.4

Step-by-step explanation:

The tenth place is located the digit to the right of the decimal point, in this case, it will be three. When rounding, if it is four or below you keep it, or if it is five or above, you round up to the nearest ten.

974.362 - 6 is above 5, so you will make the three a four.

974.4

Use Pattern blocks to represent each multiplication equation. recall that a hexagon represents 1 whole.

Answers

Pattern blocks are shapes that are used to illustrate math equations. They can be used to represent addition, subtraction, multiplication and division. If five hexagons are stacked on top of each other, then the equation can be read as 5 x 1.

What are pattern blocks?

Pattern blocks are a great visual tool for teaching younger children basic multiplication. They can help children understand the concept of multiplication better, as well as help them to remember the equation. Pattern blocks are also a great way to show the relationship between addition and multiplication, since both equations can be represented using the same shapes. By using pattern blocks to illustrate multiplication equations, children can have a more concrete understanding of the concept.

For multiplication, there are two different ways to use pattern blocks. The first way is to use the number of sides on a pattern block to represent the multiplication equation. For example, if two hexagons are used to represent 2 x 2, then the equation can be read as two times two. The second way is to simply stack the pattern blocks in order to represent the equation. For example, if five hexagons are stacked on top of each other, then the equation can be read as 5 x 1.

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Part 1 The height of a ball​ (in feet) after t seconds is given by the quadratic function h = -16(t-5)^2 + 119.

A. When does the ball reach its maximum​ height?
B. What is the maximum​ height?

Answers

The ball may rise height a maximum of [tex]119[/tex] feet.

How is height defined?

Height, altitude, and elevation all refer to the vertical distance between something's top and bottom or its base but something above it. Anything that can be measured vertically, whether it is high or low, is referred to as having height.

As the ball hits the quadratic function's vertex, it has grown to its highest point. The position (b, c), wherein b is the vertex's x-coordinate, is where a quadratic function of the type is said to have its vertex.

As the quadratic function in this instance is, the point serves as the vertex (5, 119). The ball therefore reaches its highest point after 5 seconds.

[tex]h=-16(5-5)^{2}+119[/tex]

[tex]h=119[/tex]

Therefore, the maximum height of the ball is [tex]119[/tex] feet.

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How many 3cm cubes can be placed inside the box?

Answers

Answer: 36 cubes

Step-by-step explanation:

Length x Width x Height

18 x 6 x 9 = 972

3 x 3 x 3 = 27

972 / 27 = 36

Ryan, a consumer electronics salesperson, earns a base salary of $1400 per month and a commission of 5% on the amount of sales he makes. One month Ryan received a $1710 paycheck. Find the amount

Answers

Answer:

Let x be the amount of sales Ryan made in that month.

Ryan's commission on the sales would be 5% of x, which is 0.05x.

Adding the commission to his base salary gives his total income for the month, which is $1400 + 0.05x.

Since his paycheck for the month was $1710, we can write the equation:

$1400 + 0.05x = $1710

To solve for x, we can first subtract $1400 from both sides:

0.05x = $310

Then divide both sides by 0.05:

x = $6200

Therefore, Ryan made $6200 in sales that month.

come up with a model of your function. Explain your process

Answers

To model with mathematics is to test ideas using math and computer programs to simulate an object or action.

What do you mean by mathematical modeling?

In order to understand a real-life problem, modelling entails developing a set of mathematical equations that accurately reflects a situation.

The model frequently needs to be modified because it does not adequately capture the situation.

By knowing how the system functions, which variables are significant in the system, and how they relate to one another, one can utilise a mathematical model to better understand a real-life situation. Moreover, models can be used to forecast and predict what a system will do in the future or for various parameter values. Finally, a model can be used to estimate variables that are challenging to precisely evaluate.

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A decimal to the hundredths place is greater than 5.58 and less than 5.88.The digit in the tenths place is odd, and the digit in the hundredths place is even. What are all the possible decimals?

Answers

The pοssible decimals that satisfy the given cοnditiοns are:5.20, 5.22, 5.24, 5.26, 5.28, 5.60, 5.62, 5.64, 5.66, 5.68, 7.20, 7.22, 7.24, 7.26, 7.28, 7.60, 7.62, 7.64, 7.66, 7.68

What are decimals?

Decimals are a way οf expressing numbers that fall between whοle numbers, using a decimal pοint tο separate the whοle number and the fractiοnal part. Each digit tο the right οf the decimal pοint represents a decreasing pοwer οf 10, starting frοm tenths, hundredths, thοusandths, and sο οn.

Since the digit in the tenths place is οdd, it can οnly be 5 οr 7. Similarly, since the digit in the hundredths place is even, it can οnly be 0, 2, 4, 6, οr 8.

Therefοre, the pοssible decimals that satisfy the given cοnditiοns are:

5.20

5.22

5.24

5.26

5.28

5.60

5.62

5.64

5.66

5.68

7.20

7.22

7.24

7.26

7.28

7.60

7.62

7.64

7.66

7.68

Nοte that these are the οnly pοssible decimals that satisfy all the given cοnditiοns.

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Two families purchased lunch at a hotdog cart. The first family paid $18.00 for 4 hot dogs and 4 drinks. The second famliy paid $20.00 for 5 hot dogs and 3 drinks.

What is the price, in dollars, of a hot dog? Enter your answer as $0.00

one answer only

Answers

Answer:

The price of a hot dog is $2.00

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How does an appellate court differ from a trial couHow does an appellate court differ from a trial court? Define a scheme procedure that takes a set (a list of distinct elements) and generates a list of all subsets of the set. For example, (subsets '(a b c )) returns ((a b c) (b c) (a c) (c) (a b) (b) (a) ()). Then, manually trace your procedure with the provided example. Please study provided examples in the lecture notes to learn how you should manually trace our procedure Question 6 of 10In 1775, colonial forces launched an attack on__ against the British, which proved to be a failure.A. ConcordB. BostonC. LexingtonD. Quebec(Answer is Quebec) PLEASE HELPHere is a graph of the function f defined by f(x) = a*b^x select all possible values of b A. 0 B.1/10 C.1/2 D. 9/10 E. 1 F.1.3 G. 18/5 You are considering changing the capital structure of the target firm after five years. How much would this increase the value of the target by?A. Current WACC = 10%B. New WACC = 8%C. PV of cashflows of first five years = $137D. You expect the cashflows to grow at 3% every year after year five. CF6=$43.Assume you are using DCF and discount rate for periods 1-5 is the current WACC. (You aren't changing the structure until then.) How many type of particles is a pure substance made up of? Using the graph determine the coordinates of the xintercepts Drag each tile to the correct box. Authors use the linear structure to create and build tension in a story. Match the paragraphs listed to the purpose they serve in the story. 27 POINTS and BRAINLIEST!!Answer questions 2 and 6 please A regular octagon is shown below. Suppose that the octagon is rotated clockwise about its center so that the vertex at T is moved to V. How many degrees doesthe octagon rotate? 223.6/40 show your work For a scientific experiment, a physicist must make sure that the temperature of a metal does not get colder than 51C or the metal will not be usable. The physicist changes the metal's temperature at a steady rate of 3C per hour. Find a basis for the orthogonal complement of the subspace of R4 spanned by the following vectors. v1 =(1, 1, 7, 5), v2 =(2, 1, 1, 6), v3 =(1, 0, 6, 1) The required basis can be written in the form {(x, y, 1, 0), (z, w, 0, 1)}. Enter the values of x, y, z, and w (in that order) into the answer box below, separated with commas. Write a prefix composition that starts with "I have realized that he is a true friend as compared with other friend" Write an equation for the description. A number x increase by 16 is 124 Type the correct answer in each box.Consider the expressions shown below.- Calculate the height of a lean-to roof that has a slanted height of 325 cm and an angle of elevation of 22 degrees. Round your answer to the nearest cm. Include a diagram. ALGEBRA 1 HW!! I WILL GIVE BRAINLYEST FOR ANSWERS Answer: Using the linear model, a puppy grows _____ pounds each month. Fill in the blank. Use the diagram to write an example of the Line-Point Postulate.A diagram shows a plane, M. Points,H J, K, G, and L, are marked on the plane. A line, q, passes through points, J, H, and K. A line, p, passes through a point, G, intersecting line, q, at point H.ResponsesLine $p$ contains point $H$ .Line p contains point cap h.Line $p$ contains points $H$ and $J$ .Line p contains points cap h and cap j.Line $q$ contains point $J$ .Line q contains point cap j.Line $q$ contains points $J$ and $K$ . Line q contains points cap j and cap k.