I am still stuck on this basic math question. Rosa has 3 3/4 pounds of dough. She uses 1/8 of a pound for one roll. How many rolls could be made from Rosa's dough? I was told 30. But how did they get this answer?

Answers

Answer 1

Step-by-step explanation:

First convert the amount of dough into an improper fraction:

\(3\frac{3}{4}\:\text{lbs} = \dfrac{15}{4}\:\text{lbs}\)

Each roll is 1/8 lb so divide the amount of dough by this amount:

\(\dfrac{\left(\dfrac{15}{4}\:\text{lbs}\right)}{\left(\frac{1}{8}\:\text{lb/roll}\right)} = \left(\dfrac{15}{4}\:\text{lbs}\right)\cdot \left(8\:\dfrac{\text{roll}}{\text{lb}}\right) = 30\:\text{rolls}\)


Related Questions

Given the graph of y = f(x) shown below, sketch the graph of y = |f(x)|.

Given the graph of y = f(x) shown below, sketch the graph of y = |f(x)|.
Given the graph of y = f(x) shown below, sketch the graph of y = |f(x)|.
Given the graph of y = f(x) shown below, sketch the graph of y = |f(x)|.
Given the graph of y = f(x) shown below, sketch the graph of y = |f(x)|.
Given the graph of y = f(x) shown below, sketch the graph of y = |f(x)|.

Answers

Answer:

Graph C

Step-by-step explanation:

The graph of |f(x)| represents the absolute value of the function f(x).

The absolute value function removes the negative sign from any negative values, so it reflects the negative portion of the graph of f(x) across the x-axis.

Therefore, the correct graph is option C (attached).

Additional notes

Graph B is the function reflected across the x-axis: -f(x).

Graph D is the absolute function reflected across the x-axis: -|f(x)|.

Given the graph of y = f(x) shown below, sketch the graph of y = |f(x)|.

what is.
m + 0.6 = 2.6

Answers

Answer:

m is 2 because 2.6 - 0.6 = 2 . so 2 is the answer

An architect is designing square windows with an area of(x2 + 16x +64) ft?. The dimensions of the
windows are of the form ax +b, where a and b are whole numbers.
Part 1 out of 2
Find an expression for the perimeter of the windows.
The perimeter of the square is represented by
(x+
6 ft.

Answers

A) The dimensions are (x+10) by (x+10).

B) The perimeter is given by 4x+40.

C) The perimeter when x is 4 is 56.

The quadratic can be factored by finding factors of c, the constant, that sum to b, the coefficient of x.  Our c is 100 and our b is 20; we want factors of 100 that sum to 20.  10*10=100 and 10+10=20, so those are what we need.  This gives us (x+10)(x+10 for the factored form.  

Since the dimensions are all (x+10), and there are 4 sides, the perimeter is given by 4(x+10).  Using the distributive property we have 4*x+4*10=4x+40.

To find the perimeter when x=4, substitute 4 into our perimeter expression:

4*4+40=16+40=56.

Answer:

A) The dimensions are (x+10) by (x+10).

B) The perimeter is given by 4x+40.

C) The perimeter when x is 4 is 56.

Step-by-step explanation:

I filled two notebook papers to solve this

stered comsident p43336280840
Save the expression by solating the variable Hemember to balance the equation in each step you take
2
0-6

Answers

The result of the expression 20 - 6 is 14.

To solve the given expression, 20 - 6, and isolate the variable, we need to clarify whether there is an equation involved. However, in this case, the expression does not contain any variable to isolate, and it is not an equation that needs balancing. It is a straightforward arithmetic expression.

Step 1: Start with the given expression, 20 - 6.

Step 2: Evaluate the subtraction operation: 20 - 6 = 14.

Step 3: The simplified expression is now 14. However, since there is no variable present, there is no need to isolate any variable.

This means that when you subtract 6 from 20, the answer is 14. Remember that isolating a variable and balancing an equation are relevant when dealing with equations that involve variables. In this case, the expression is a simple subtraction operation, yielding a constant value of 14 as the answer.

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solve for the unknown angle measure given that f || g

solve for the unknown angle measure given that f || g

Answers

The measure of the unknown angle is 75°

What is an angle?

An angle is a shape in Euclidean space created by two rays, termed the ends of the angle, that share a common termination, called the vertex of the angle. Angles produced by two rays are located in the longitudinal plane the rays. Angles are also generated when two planes overlap. These are known as dihedral angles. An angle defined by two intersecting curves is the angle of the rays lying tangent to the respective curves at their point of junction. Angle can also refer to the measurement of an angle or of a rotation. In the case of a geometric angle, the arc is defined by the sides and is centered at the vertex.

From figure,

x+70+25 = 180 (angle sum property of a triangle)

x = 180 - 95 = 75°

Hence, the measure of the unknown angle is 75°

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I am in desperate need of help!!7. D is the midpoint of CE Prove: D=1/2CE

I am in desperate need of help!!7. D is the midpoint of CE Prove: D=1/2CE

Answers

just follow the steps given in the question

determine if the statement is true of false. a fourth degree polynomial has exactly two relative minima and two relative maxima

Answers

Answer: True

Step-by-step explanation:

Translate the given phrase into an algebraic expression and simplify if possible: the sum of -4 and the difference of 3 and 1

Answers

the answer is -12 have a great rest of your day

Algebraic expression for the given phrase is

\(-4+(3-1)\)

Simplified answer is -2

Given :

The given phrase is  the sum of -4 and the difference of 3 and 1

To find the difference we subtract the numbers

difference of 3 and 1 is 3-1

for the sum we add it

the sum of -4 and the difference of 3 and 1

the sum of -4 and  (3-1)

Now we add it , \(-4+(3-1)\)

Algebraic expression for the given phrase is

\(-4+(3-1)\)

Now we simplify it

\(-4+(3-1)\\-4+(2)\\-2\)

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5.6.8 let f be a uniformly continuous function on a set e. show that if {xn} is a cauchy sequence in e then {f(xn)} is a cauchy sequence in f(e). show that this need not be true if f is continuous but not uniformly continuous.
Proof. (1): To prove {f(xn)} is a Cauchy sequence just need to prove ∀ > 0, ∃N, s.t.,∀n, m > N,
have |f(xn) − f(xm)| < . Since f is uniformly continuous on set E, thus ∀ > 0, ∃δ > 0, s.t.,
∀x, y ∈ E, if |x − y| < δ,then |f(x) − f(y)| < .as {xn} is a Cauchy sequence, then ∃N, s.t.,
∀n, m > N, |xn − xm| < δ, thus |f(xn) − f(xm)| < which proves {f(xn)} is a Cauchy sequence.
(2): for example f(x) = 1
x
, x ∈ (0, 2) which is continuous but not uniformly continuous. {
1
n
} is
a Cauchy sequence, however, {f(xn)} does not converge which proves that it is not a Cauchy
sequence.

Answers

Showing that this need not be true if f is continuous but not uniformly continuous.

Given :

let f be a uniformly continuous function on a set e. show that if {xn} is a cauchy sequence in e then {f(xn)} is a cauchy sequence in f(e).

( 1 )

If f is uniformly continuous on E, then given ε > 0 there is δ > 0 such that if x, y are in E and |x−y| < δ,

then |f(x) − f(y)| < ε. Let (xn) be a Cauchy sequence in E. Then given δ > 0 there is N such that if p, q > N,

then |xp − xq| < δ, and thus |f(xp) − f(xq)| < ε, implying that (f(xn)) is a Cauchy sequence.

( 2 )

Let E = {1, 1/2, 1/3, · ·  } and f(1/n) = 1 is n is odd, f(1/n) = −1 if

n is even. Then f is continuous but not uniformly continuous. The sequence (xn) = (1/n) in E is Cauchy but the

sequence (f(xn)) = (1, −1, 1, −1, · · ·) is not Cauchy.

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Naomi's dining room is 7 yards wide and 7 yards long. Naomi wants to install wooden trim around the top of the room. The trim costs $9.00 per yard. How much will it cost Naomi to buy enough trim?

Answers

7*7=49. Each yard is 9 dollars. So 49*9=441$
7x7 which is 49. multiplying 7 by 7 gives you your answer

Please help due in a few minutes

Please help due in a few minutes

Answers

Answer:

B? I think its b. Im not completely sure tho

Step-by-step explanation:

The volume of square pyramid is 25 cubic inches. You want the height to be 2 inches less than the edge of the base. What are the dimensions?

Answers

Step-by-step explanation:

Find several points that are on the graph of the function y = x^2 + 1. Plot the points in a coordinate plane.
Is this a linear function? Explain.

Find several points that are on the graph of the function y = x^2 + 1. Plot the points in a coordinate

Answers

Answer:

Below.

Step-by-step explanation:

Plot following points.

Calculate the point by plugging in values of x into x^2 + 1

for example When x = 0, y = 0^1 + 1 = 1.

So plot plot (0, 1),

Make a table of points to plot:

x   -3    -2    -1    0    1    2     3

y   10     5     2   1     2   5    10

When you plot the points you'll see the graph is U shaped.

The function is of second degree (as it contains x^2) so it wont be linear.

the double number line shows that 4 bottles of water cost 10 dollars at a music festival ​

Answers

Answer:

That means that each water is $2.50, das crazy tho

Step-by-step explanation:

What is the equation of the line in slope intercept form?

What is the equation of the line in slope intercept form?

Answers

Answer:

y = x + 60

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (20, 80) and (x₂, y₂ ) = (40, 100) ← 2 points on the line

m = \(\frac{100-80}{40-20}\) = \(\frac{20}{20}\) = 1

the line crosses the y- axis at (0, 60 ) ⇒ c = 60

y = x + 60 ← equation of line

Find the area of the shaded region. The graph to the right depicts IQ scores of​ adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15.
Click to view page 1 of the table. LOADING... Click to view page 2 of the table. LOADING...
115



A graph with a bell-shaped curve, divided into 2 regions by a vertical line. The vertical line extends from the bell curve to the x-axis, and is located on the right half, under the curve. The region on the left of this line is shaded. The x-axis below the vertical line is labeled 115.
Question content area bottom
Part 1
The area of the shaded region is enter your response here. ​(Round to four decimal places as​ needed.)

Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those scores

Answers

The area of the given shaded region is 0.1587 which can be calculated using the cumulative area of the normal distribution.

What is z-score?

The z-score is the number of standard deviations a data point is away from the mean. It can be calculated by subtracting the mean from the data point, and then dividing by the standard deviation.

To calculate the area of the shaded region, the z-score for the value of 115 must first be determined.

In this case, the z-score= (115 - 100)/15, or 1.

The area of the shaded region is then calculated using the cumulative area of the normal distribution.

As the area of the shaded region is the probability of a data point being greater than 115, the cumulative area of the normal distribution should be subtracted from 1 to get the area of the shaded region.

The cumulative area of the normal distribution for a z-score of 1= 0.8413,

as z-score= x - μ/σ

so the area of the shaded region

=1 - 0.8413

= 0.1587.

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Answer this question pls I need it rn

Answer this question pls I need it rn

Answers

Answer:

K = 84°

L ; M = 48 ; 48

Step-by-step explanation:

L = (5x + 18)

M = (3x + 30)

K = k

L + M + K = 180° (sum of angles in a triangle)

The two base angles are equal :

Hence ;

5x + 18 = 3x + 30

5x - 3x = 30 - 18

2x = 12

x = 6

Hence,

L = 5x + 18 = 5(6) + 18 = 30 + 18 = 48°

M = 3x + 30 = 3(6) + 30 = 48°

K = 180 - (48 + 48)

K = 180 - 96

K = 84°

Solve the equation: x²-2x=8
Show all the Steps with explanation.​

Answers

Answer:

x = 4, -2

Step-by-step explanation:

x^2-2x=8

Move the constant term to the right side of the equation.

x^2 - 2x = 8

Take half of the coefficient of x and square it.

(-2/2)^2 = 1

Add the square to both sides of the equation.

x^2 - 2x + 1 = 8 + 1

Factor the perfect square trinomial.

(x - 1)^2 = 9

Take the square root of both sides of the equation.

x-1=\(\sqrt{9}\)
x-1=±3

Isolate x to find the solutions.

Taking positive

x=3+1=4

x=4

Taking negative

x=-3+1

x=-2

The solutions are:

x = 4, -2

Answer:

\(x = -2,\;\;x=4\)

Step-by-step explanation:

To solve the quadratic equation x² - 2x = 8 by factoring, subtract 8 from both sides of the equation so that it is in the form ax² + bx + c = 0:

\(x^2-2x-8=8-8\)

\(x^2-2x-8=0\)

Find two numbers whose product is equal to the product of the coefficient of the x²-term and the constant term, and whose sum is equal to the coefficient of the x-term.

The two numbers whose product is -8 and sum is -2 are -4 and 2.

Rewrite the coefficient of the middle term as the sum of these two numbers:

\(x^2-4x+2x-8=0\)

Factor the first two terms and the last two terms separately:

\(x(x-4)+2(x-4)=0\)

Factor out the common term (x - 4):

\((x+2)(x-4)=0\)

Apply the zero-product property:

\(x+2=0 \implies x=-2\)

\(x-4=0 \implies x=4\)

Therefore, the solutions to the given quadratic equation are:

\(\boxed{x = -2,\;\;x=4}\)

x+5+4-5=x+54
Help !!!​

Answers

Simplify both sides of the equation

=>x+5+4−5=x+54

=>x+5+4+−5=x+54

=>(x)+(5+4+−5)=x+54(Combine Like Terms)

=>x+4=x+54

=>x+4=x+54

Subtract x from both sides

=>x+4−x=x+54−x

=>4=54

Subtract 4 from both sides

=>4−4=54−4

=>0=50

There are no solutions

un cono mide 3 pulgadas de diámetro. a este cono le caben 12 pulgadas cúbicas de agua. redondeada a la pulgada más cercana. ¿ cuál es la altura del cono?​

Answers

83 cm ? if not i am sorry

jasmine
was the lead dancer for her dance troupe. She and the troupe's choreographer (also a troupe member) decided that they needed to have one more rehearsal before they performed.

Answers

The members in Jasmine's dance troupe is an illustration equivalent expressions.

The number of members in Jasmine's dance troupe is 62

Assume the number of dancers is n.

One third of the rest is:

\(\mathbf{x = \frac{1}{3}(n - 2)}\)

When she called three more, we have:

\(\mathbf{x = \frac{1}{3}(n - 2) + 3}\)

Expand

\(\mathbf{x = \frac{n}{3} - \frac{2}{3} + 3}\)

\(\mathbf{x = \frac{n}{3} + \frac{-2 + 9}{3}}\)

\(\mathbf{x = \frac{n}{3} + \frac{7}{3}}\)

The remaining dancers (r) are:

\(\mathbf{r = n- \frac{n}{3} - \frac{7}{3}}\)

\(\mathbf{r = \frac{3n - n}{3} - \frac{7}{3}}\)

\(\mathbf{r = \frac{2n}{3} - \frac{7}{3}}\)

\(\mathbf{r = \frac{2n - 7}{3}}\)

When two-fifth of the remaining dancers are added, we have:

\(\mathbf{x = \frac{n}{3} + \frac{7}{3} + \frac{2}{5}(\frac{2n - 7}{3})}\)

\(\mathbf{x = \frac{n+7}{3} + \frac{2}{5}(\frac{2n - 7}{3})}\)

\(\mathbf{x = \frac{n+7}{3} + \frac{4n - 14}{15}}\)

Take LCM

\(\mathbf{x = \frac{5n + 35 + 4n - 14}{15}}\)

\(\mathbf{x = \frac{9n + 21}{15}}\)

\(\mathbf{x = \frac{3n + 7}{5}}\)

When she called one more dancer, we have:

\(\mathbf{x = \frac{3n + 7}{5} + 1}\)

\(\mathbf{x = \frac{3n + 7+5}{5}}\)

\(\mathbf{x = \frac{3n + 12}{5}}\)

The remaining of the dancer is:

\(\mathbf{r = n - \frac{3n + 12}{5}}\)

\(\mathbf{r = \frac{5n - 3n + 12}{5}}\)

\(\mathbf{r = \frac{2n + 12}{5}}\)

When three-fourth are added, we have:

\(\mathbf{x = \frac{3n + 12}{5} +\frac{3}{4} \times \frac{2n + 12}{5}}\)

\(\mathbf{x = \frac{3n + 12}{5} + \frac{6n + 36}{20}}\)

Take LCM

\(\mathbf{x = \frac{12n + 48+6n + 36}{20}}\)

\(\mathbf{x = \frac{18n +84}{20}}\)

When the last two members are added, we have:

\(\mathbf{n = \frac{18n +84}{20} + 2}\)

\(\mathbf{n = \frac{18n +84+40}{20} }\)

\(\mathbf{n = \frac{18n +124}{20} }\)

Multiply through by 20

\(\mathbf{20n = 18n +124}\)

Collect like terms

\(\mathbf{20n - 18n =124}\)

\(\mathbf{2n =124}\\\)

Divide both sides by 2

\(\mathbf{n =62}\)

Hence, the number of members in Jasmine's dance troupe is 62

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A Norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular window. What is the maximum area of a Norman window whose perimeter is 9 feet?

Answers

The maximum area of a Norman window with a perimeter of 9 feet is 81π/4 square feet.

To find the maximum area of a Norman window with a given perimeter, we can use calculus. Let's denote the radius of the semicircle as r and the height of the rectangular window as h.The perimeter of the Norman window consists of the circumference of the semicircle and the sum of all four sides of the rectangular window. Therefore, we have the equation:

πr + 2h = 9We also know that the area of the Norman window is the sum of the area of the semicircle and the area of the rectangle, given by:

A = (πr^2)/2 + rh

To find the maximum area, we need to express the area function A in terms of a single variable. We can do this by substituting r from the perimeter equation:

r = (9 - 2h)/(π)

Now we can rewrite the area function in terms of h only:

A = (π/2) * ((9 - 2h)/(π))^2 + h * (9 - 2h)/(π)

Simplifying this equation, we get:

A = (1/2)(9h - h^2/π)

To find the maximum area, we differentiate the area function with respect to h, set it equal to zero, and solve for h:

dA/dh = 9/2 - h/π = 0

Solving this equation, we find:h = 9π/2

Substituting this value of h back into the area function, we get:

A = (1/2)(9 * 9π/2 - (9π/2)^2/π) = (81π/2 - 81π/4) = 81π/4

Therefore, the maximum area of a Norman window with a perimeter of 9 feet is 81π/4 square feet.

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Is 3/4 greater than 3/5

Is 3/4 greater than 3/5

Answers

Answer:

Yes.

Explanation:

3/4 is 75% of a whole, 3/5 is 60%.

Yes it is. That is correct answer

Calculate the value of each expression.



−18/3

please help i cant find it!

Answers

Answer:

-6

Step-by-step explanation:

Please help. The best way to explain is to say, This value goes in this box.

Please help. The best way to explain is to say, This value goes in this box.

Answers

Answer:

The last one is 6/9.

Step-by-step explanation:

Hope that helps

Correct answer gets brainliest

Correct answer gets brainliest

Answers

The correct option is (d) i.e. The area of the given parallelogram will be 36 ft²

What is a Parallelogram ?

A quadrilateral with two sets of parallel sides is known as a parallelogram. A parallelogram has equal-sized opposite sides and opposite angles. Additionally, the interior angles on the same side of the transversal are additional. 360 degrees is the total of all interior angles.

The term "parallelepiped" refers to a three-dimensional shape with parallelogram-shaped faces. The base (one of the parallel sides) and height (the distance from top to bottom) of a parallelogram determine its area, respectively. The length of each of a parallelogram's four sides determines its perimeter.

Given : base of parallelogram = 4+2= 6 ft

            height of the parallelogram = 6ft

We know that, area of a parallelogram = base × height

So, Area of the given parallelogram = 6 × 6

                                                           = 36 ft²

Hence, The correct option is (d).

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ng a sentence into a one-step equationTranslate this sentence into an equation.The sum of 17 and Carlos's height is 43.Use the variable c to represent Carlos's height.=O+ローロロメロX$?

ng a sentence into a one-step equationTranslate this sentence into an equation.The sum of 17 and Carlos's

Answers

C + 17 = 43

STEP - BY - STEP EXPLANATION

What to find?

The height of Carlos.

Given:

The sum of 17 and Carlos's height is 43.

To solve, we will follow the step below:

Step 1

Translate the key word into an equation.

That is;

"sum" means +

Step 2

Translate the whole of the sentence into one - step equation.

Let C be Carlos' height.

C + 17 = 43

Therefore, the one step equation is C + 17 = 43

Solve 2-3 cos x=5+3 cosx for 0° ≤ 180°

Answers

The equation 2-3cos(x) = 5+3cos(x) has no solution in the range of 0° to 180°.

1. Start with the given equation: 2-3cos(x) = 5+3cos(x).

2. Subtract 3cos(x) from both sides to isolate the constant term: 2-3cos(x) - 3cos(x) = 5.

3. Combine like terms: 2-6cos(x) = 5.

4. Subtract 2 from both sides: -6cos(x) = 3.

5. Divide both sides by -6: cos(x) = -1/2.

6. To find the solutions for cos(x) = -1/2 in the range of 0° to 180°, we need to determine the angles where cos(x) equals -1/2.

7. These angles are 120° and 240°, as cos(120°) = cos(240°) = -1/2.

8. However, the given equation states that 2-3cos(x) equals 5+3cos(x), which is not satisfied by cos(x) = -1/2.

9. Therefore, the equation 2-3cos(x) = 5+3cos(x) has no solution in the range of 0° to 180°.

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A ball is thrown downward from the top of a 150-foot building with an initial velocity of 23 feet per second. The height of the ball h after t seconds is given by the equation h= - 16t? - 23t+150. How long after the ball is thrown will it strike the ground?​

Answers

Answer:

362 the answer

Step-by-step explanation:

follow nmn i hope its help

A large jet uses 7.500 gallons of fuel to fly 1,500 miles what is the unit rate used by the vehicle

Answers

We know that they are using 7500 gallons of fuel for 1500 miles

we can do 7500 / 1500 = 5

Meaning that for every 5 gallons of fuel they travel 1 mile

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the term _________________ describes business model processes that encourage the organization to make a positive impact on the various stakeholders in its community. Factor x^2+10x+15 remember to use parentheses (x+) (x+) 28Write9as a mixed number. _____________ of economic activity has been evolving since the birth of economics in 1776. HELP ME PLEASEEE TY Abraham needs one-half of a point to get an A in Math. What rational number can be used to represent the number of points needed for Abraham to get an A?(1 point) ( ) point For this assignment, you will write an evaluation of either of two historic passages. PLEASE HELP!!!!!Patrick Henrys Give Me Liberty, or Give Me Death! speech (1775)WRITE SMTH NEW!!!!!!!Frederick Douglasss address, What to the Slave Is the Fourth of July? (1852)When you have finished, submit this document to your teacher for grading.Questions(Score for Question 1: ___ of 2 points)What is the speakers viewpoint? What is his claim?(Score for Question 2: ___ of 2 points)What reasons does the speaker provide to support his viewpoint or claim?(Score for Question 3: ___ of 4 points)How valid are the speakers reasons for his claim? Use evidence from the text to support your answer.(Score for Question 4: ___ of 2 points)What evidence does the speaker provide to support his reasons?(Score for Question 5: ___ of 4 points)Is the speakers evidence relevant and sufficient? Use evidence from the text to support your answer.(Score for Question 6: ___ of 4 points)Does the speaker use fallacious reasoning or logical fallacies? Use evidence from the text to support your answers.(Score for Question 7: ___ of 4 points)What counterclaims or alternate claims does the speaker address, and how does he respond to them?(Score for Question 8: ___ of 4 points)How effective is the speakers response to counterclaims or alternate claims? Use evidence from the text to support your answer.(Score for Question 9: ___ of 4 points)Write a one-paragraph evaluation of the speakers argument. When a defender sends the ball over the player's own end line, the attacking team restarts the game by throwing the ball in the from the corner is called what were any of the organisms especially resistant to the chemical tested? if so, which one(s)? propose a reason for these results - 2 2/3 times - 4 3/7 All living things contain _________ in proteins, fats, and carbohydrates which can be recycled in various ways within an environment.Question 1 options:mercuryseleniumgoldcarbon Question 6 (Multiple Choice Worth 5 points)(01.01 LC)Which career is in the field of agriscience?PediatricianO Food scientistO MayorAthletic trainer Which of The following themes does this reinforce? of a chlorine molecule, Cl, to give two chlorine atoms:Cl(g) 2Cl(g)What is the sign of the enthalpy change (AH)? (positive or negative?)What is the sign of the entropy change (AS)? (positive or negative?)Select one:O a. negative, positiveO b. positive, negativeO c. negative, negativeO d. positive, positive Select the correct answer from each drop-down menu. Prism M and pyramid N have the same base area and the same height. Cylinder P and prism Q have the same height and the same base perimeter. Cone Z has the same base area as cylinder y, but its height is three times the height of cylinder Y. The figures and have the same volume. 5. Identify the vertex of the parabola.A. (6, 3)B. (3, 0)C. (4, -1)D. (5, 0) Astronomy developed from the observation ...............through regular cycles of motion.a. going to heavenly bodies b. the heavenly bodies going c. heavenly bodies that god that the heavenly bodies go anyone there??????????????????? Humans do not have significantly more genes than some other animals, for instance, the nematode worm C. elegans. What accounts for the diversity of cell types and functions in humans relative to C. elegans or D. melanogaster Analyze how limitations to the right of to freedom of expression of the media may assist in promoting public safety? How do you attach ceramic clay to other pieces of ceramic clay? Explain the process &what tools to use.