HELP PLZ I DONT GET THIS AGT ALL I SUCK AT MATH :( I REALLY NEED HELP CAN SOMEONE HELP PLZ

HELP PLZ I DONT GET THIS AGT ALL I SUCK AT MATH :( I REALLY NEED HELP CAN SOMEONE HELP PLZ

Answers

Answer 1

Answer:

£94

Step-by-step explanation:

Basically, we want to find the surface area of this cylinder.

The surface area of a cylinder is denoted by: A = 2πr² + 2πrh, where r is the radius and h is the height. However, note that the farmer only wants to paint the curved surface of the cylinder, so we don't want to include the 2πr² part that accounts for the two circular bases. Instead, we actually just want to find the value of 2πrh.

Here, we see that the diameter is 8 metres, so since the radius is half the diameter, we know that r = 8/2 = 4 metres.

We also see that the height is 6 metres, so h = 6.

Plug these numbers in:

2πrh

2π * 4 * 6 = 48π ≈ 150.8 m²

We see that each can of paint will cover 20 m², so divide 150.8 by 20 to find the number of cans we need:

150.8 ÷ 20 = 7.5 ≈ 8 cans

Each can costs £11.75, so multiply 8 by 11.75 to get the total cost:

11.75 * 8 = £94

The answer is £94.

Answer 2

Answer:

94 euros is the answer, plez mark as brainliest ty big brain man

Step-by-step explanation:


Related Questions

PLZ HELP ASAP 5 STAR N BRAINLEST N THANKS TINGY BUTTONS PLZ ASAP WITH ANSWER 13 POINTS

Answers

Answer:

Step-by-step explanation:

x(x - 2) + x + 2x + 8 + 10 = 60

x² - 2x + 3x - 42 = 0

x² + x - 42 = 0

x² + 7x - 6x - 42 = 0

x(x + 7) - 6(x + 7) = 0

(x + 7)(x - 6) = 0

x = 6, -7(not possible)

x = 6

P(B/20th century) = x/[x(x-2) + x]

= 6/[6(4)+6]

= 6/30

= 1/5

An equilateral triangle has a perimeter of 15x + 33x feet. What is the length of each side?
x feet
5+ 11x2 teet
5x2 + 11 feet
53 - 11 feet

Answers

Answer:

is there any mistake in your question?

Step-by-step explanation:

(15x + 33x) / 3 = 5x + 11x = 16x

Find the area of the parallelogram *
Captionless Image
1188 sq in
69 sq in
138 sq in
1440 sq in
None of the above

Answers

Answer:

1188 sq in.

Step-by-step explanation:

area of parallelogram = base * height

area = 36 in. * 33 in. = 1188 sq in.

Answer:

1188

Step-by-step explanation:

36 multiplied by 33, ignore the 40

2 cm on a map are equal to 3 km in real life. If two points
are 8 cm apart on the map, how far apart are they In real
life?

Answers

Answer: 12km

Step-by-step explanation:

2cm=3km

2x4=8

3x4=12

Final answer:

The real-life distance between two points that are 8 cm apart on a map, with a map scale of 2 cm = 3 km, is 12 km. This is calculated using a proportion based on the given scale ratio.

Explanation:

The question asks how to calculate the real-life distance between two points that are 8 cm apart on a map, given that 2 cm on the map are equal to 3 km in real life. To solve this, we can use a proportion where 2 cm on the map corresponds to 3 km of actual distance. The scale ratio is therefore 2 cm : 3 km. If the points are 8 cm apart on the map, we set up the proportion as follows:

2 cm on the map / 3 km in real life = 8 cm on the map / x km in real life

We cross multiply to find x:

2 cm * x km = 8 cm * 3 kmx = (8 cm * 3 km) / 2 cmx = 24 km / 2x = 12 km

So, the real-life distance between the two points is 12 km.

Amy’s current grades for her assignments in math class are 85 , 90 , 95 and 80. What grade does she have to earn on her next assignment to attain an average of 90?

Answers

Answer:

100

Step-by-step explanation:

100+90+85+95+80= 450,

450/5=90

She has to earn on her next assignment to attain an average of 90 for grade 100.

What is the average value?

The average is the middle value of the given data set and is calculated by adding up all the numbers and dividing the result by the total quantity of figures added.

Amy’s current grades for her assignments in math class are 85, 90, 95, and 80.

Let x be the grade she has to earn on her next assignment to attain an average of 90.

The grade does she have to earn on her next assignment to attain an average of 90 is;

[tex]\rm Average =\dfrac{Sum \ of \ all \ grades}{Number \ of \ grades}\\\\ 90 =\dfrac{x+90+85+95+80}{5}\\\\ 90 \times 5 = x+350\\\\450=x+350\\\\x =450-350\\\\x=100[/tex]

Hence, she has to earn on her next assignment to attain an average of 90 for grade 100.

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How is the process of finding the surface area of a rectangular prism the Same as finding the surface of a triangular prism?how is it different.

Answers

Answer:

Check the step by step explanation

Step-by-step explanation:

The surface area of a prism can be calculated using the formula below;

[tex]SA=2B+PH[/tex]

H = height of the prism

B = Base's area

P = perimeter of the base

They are the same because the same formula is used for the surface area of a rectangular prism and the surface area of a triangular prism.

THE DIFFERENCE BETWEEN THEM IS THIS;

1) for triangular prism,

The perimeter of the base of triangular prism is calculated using g the formula below;

[tex]P=a+b+c[/tex]

P= the perimeter

a,b,c = the length of each of the three making up the triangle

While the AREA of the base of the tria gular prism is calculated using the below formula

A= 1/2 * b* h

A= Area

2) Rectangular prism

perimeter of the base of rectangular prism can be calculated using the formula below;

[tex]P=2(L+W)[/tex]

L = length of the rectangle

W= width of the rectangle

The area of the rectangle can be calculated using the formula below;

[tex]A=LW[/tex]

A= area of the rectangle

W= width of the rectangle

Answer:

Sample Response: For both prisms, you can draw a net to help you find the areas of the faces. Add the areas together to find the surface area. A rectangular prism has only rectangular faces, and you use the formula bh to find area. A triangular prism has triangular and rectangular faces, and you use the area formula bh for rectangular faces and the area formula 1/2bh for triangular faces.

Step-by-step explanation:

Edge 2021

The volume of this cone is 540 pi. Work out the height,h, of the cone
radius is 9
vol=1/3*pi*r^2*h
curved surface area =pi*r*l

Answers

Answer:

20

Step-by-step explanation:

The volume of a cone is given as:

[tex]V = \frac{1}{3} \pi r^2 h[/tex]

where r = radius

h = height

The volume of the cone is 540π and its radius is 9.

This implies that:

[tex]540 \pi = \frac{1}{3} \pi * 9^2 * h\\\\h = \frac{540 * 3}{81} \\\\h = 20[/tex]

The height of the cone is 20.

Answer:

The answer is 20 bro

Step-by-step explanation:

Solve for x

x2 + 14x + 49 = 0

Answers

-3.0625 is the answer to x

Answer: X=7

Step-by-step explanation: Use the formula (b/2)^2 in order to create a new term. Solver for X by using this term to complete the square.

X=7

A pizza with a diameter of 13 inches is cut into 12 equal slices. Jayden eats of the pizza, representing an area o Select one square inches. Carson eats 5 slices of pizza, representing an area of Select one square inches.

Answers

The complete question is

A pizza with a diameter of 13 inches is cut into 12 equal slices. Jayden eats 1/3 of the pizza, representing an area of ____ square inches. Carson eats 5 slices of pizza, representing an area of ____ square inches.

Answer:

Jayden consume pizza with an area of 44.2498 inches squared.

Carsen consumes pizza with an area of 55.3125 inches squared

Step-by-step explanation:

Diameter is 13 inches,

Radius is diameter divided by 2

Radius = 13/2 = 6.5 inches

Area = pi times radius squared

Area = 3.142 x 6.5^2 = 132.7495.

For jayden, 1/3 of this will be

1/3 x 132.7945 = 44.2498 inches squared.

For carsen, the 12 slice of pizza will each have an area of 132.7945/12 = 11.0625 inches squared,

5 of those slices will have area of 5 x 11.0625 = 55.3125 inches squared.

Is 2 PLUS 2 the same answer as 2 TIMES 2? If so, how and why?

Answers

Answer:

2 + 2  =4

2 * 2 = 4

so, 2 + 2 = 2 * 2

Step-by-step explanation:

2 + 2  =4

2 * 2 = 4

so, 2 + 2 = 2 * 2

Yes, 2 PLUS 2 the same answer as 2 TIMES 2. The explanation is given.

What is addition?

Combining objects and counting them as one big group is done through addition. In arithmetic, addition is the process of adding two or more integers together. Addends are the numbers that are added, and the sum refers to the outcome of the operation.

Given:

Expression,

2 PLUS 2 and 2 TIMES 2

In numerator form,

2+2 = 4

2 x 2 = 4

Multiplication is a mathematical arithmetic operation.

It is also a process of adding the same types of expression for some number of times.

Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.

Therefore, solution of 2 PLUS 2 and 2 TIMES 2 is 4.

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Alfonso scored 18 points during his last basketball game, which was 40% of the points the entire team scored.

Answers

Answer:

45

Step-by-step explanation:

What is the relationship between

a
∠astart color #11accd, angle, a, end color #11accd and

b
∠bstart color #1fab54, angle, b, end color #1fab54?

A
A
B
B
C
C
D
D
E
E
a
a
b
b
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
Vertical angles

(Choice B)
B
Complementary angles

(Choice C)
C
Supplementary angles

(Choice D)
D
None of the above

Answers

The relationship between angles ∠a and ∠b is they are complementary angles.

Given a figure.

Here, two lines are crossed to each other such that the angles between each of the cross is 90 degrees.

So the angle between the lines BX and XC which forms at X is a right angle or 90 degrees.

So,

m∠BXC = 90°

Now, ∠BXC is the sum of the angles ∠BXY and ∠YXC.

From the figure,

∠BXY = ∠a and ∠YXC = ∠b.

So,

m∠BXY + m∠YXC = 90°

∠a + ∠b = 90°

When the sum of two angles is 90°, then they are complementary angles.

Hence, ∠a and ∠b are complementary angles, which is the option B.

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The figure is given below.

Please help me now plz
I will mark you brainliest

Answers

Answer:

A =41.81

Step-by-step explanation:

Since this is a right angle, we can use trig functions

sin A = opp/ hypotenuse

sin A = 4/6

SinA = 2/3

Take the inverse sin of each side

sin^-1 (sin A) = sin^-1 (2/3)

A =41.8103149

To the nearest hundredth

A =41.81

i know this stuff but D is hard
can u do D for me ,it says witch shape is 4 units from the Y-axis and 3 units from the X-axis. but there is no shape there can u help me WILL MARK BRAINLYEST .

Answers

Answer:

Rhombus

Step-by-step explanation:

4 units from Y-axis means 4 units to the left and 3 units from X-axis means 3 units up.

Answer:

its a Diamond which is also called a Rhombus

Step-by-step explanation:

when it is saying 4 units from the Y-axis it means 4 away so that means X-axis is 3 and Y-axis is 4

bc when it say 3 from the x-axis it really three away so it goes up 3

coordinates= (3,4)

What is 18 divided by 10?

Answers

Answer: 1.8

Step-by-step explanation:

The division, 18 divided by 10 gives 1.8.

What is 18 divided by 10?

Division is one of the basic arithmetic operations in mathematics. It is the opposite of multiplication.

18 divided by 10 means that we are dividing a group of 18 objects into 10 equal groups. That is:

18/10 = 1.8

Note: Since we are dividing by 10, we can move the position of the decimal point to the left by one step.

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please help me with this

Answers

Answer:

50

Step-by-step explanation:

Because the graph is going up by 50.

Answer:

The cost per pencil is $6.25

Step-by-step explanation:

The cost of a 50 pencils is $8

8 ÷ 2= 4

50 ÷ 2 = 25

To find the cost of just one pencil they you would have to divide 25 by 4.

25 ÷ 4 = 6.25

Hope this helps out!!

2x^2- 5x + 6 when x = -2

Answers

Answer:

Step-by-step explanation:

x= -2

2x² - 5x + 6 = 2(-2)² - 5*(-2) + 6

                  = 2*4 + 10 + 6

                   = 8 + 10 + 6

                  = 24

Which equation can be used to find the volume of the cylinder? A cylinder with a radius of 4 inches and height of 16 inches.

Answers

Answer:

V=Bh so Volume = π4.0 2 16.0 = 804.25

Step-by-step explanation:

The yearly profits of a company is $35,000. The profits have been decreasing by 8% per year. What will be the profits in 7 years? Round your answer to the nearest dollar.

TURN THE PERCENT TO A DECIMAL! (divide by 100 or move decimal place 2 times left)

Answers

87.5

Because if you divide 35000 by 0.08 it equals 437,500 and then you multiply 437,500 and 7 and then it’s gonna equal 87.5

I think it’s a or b but I’m thinking it’s a am I correct?

Answers

yes you are correct it is A

Answer:

Step-by-step explanation:

b because of the 2 squared

The lifespans of meerkats in a particular zoo are normally distributed. The average meerkat lives 10.4

years; the standard deviation is 1.9 years.

arzo

Use the empirical rule (68 - 95 - 99.7%) to estimate the probability of a meerkat living between 12.3

and 14.2 years

PLEASE HELP

Answers

Answer:

13.5% probability of a meerkat living between 12.3 and 14.2 years.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 10.4

Standard deviation = 1.9

The normal distribution is symmetric, which means that 50% of the measures are below the mean and 50% are above the mean.

Between 12.3 and 14.2 years.

12.3 = 10.4 + 1.9

So 12.3 is one standard deviation above the mean.

50% of the measures are above the mean. Of those, 68% are within 1 standard deviation of the mean.

14.2 = 10.4 + 2*1.9

So 14.2 is two standard deviations above the mean.

50% of the measures are above the mean. Of those, 95% are within 2 standard deviation of the mean.

0.5*0.95 - 0.5*0.68 = 0.135

13.5% probability of a meerkat living between 12.3 and 14.2 years.

This sculpture designed by Mr. Newman’s colleague, Tia, is shaped like a hollow triangular pyramid. All 3 of the lateral faces are congruent and made of glass. How much glass was used to make the sculpture, if each face has a base length of 4 m and a slant height of 6 m? What is the area of each of the lateral faces? m² What is the total lateral area of the sculpture? m²

Answers

Answer: Each lateral face would have an area measuring 11.32 square metres.

(2) The total lateral area is 40.88 square metres.

Step-by-step explanation: A three-sided triangular prism as stated in the question would have triangular faces on all sides and since the one in the question is described as a hollow triangular pyramid, we can safely conclude that each surface is a flat/plane shape. Also, each of the triangular surfaces has a base length of 4 metres and a slant height of 6 metres. The surface area is given as

Area of a triangle =  1/2 * base * height

However, the height given is the slant height. Therefore to calculate the vertical height, we shall apply the Pythagoras' theorem, which means the triangular surface would have to be divided into two halves by a perpendicular line that splits the base length into two equal sides. This results in a right angled triangle with the hypotenuse measuring 6 metres and one of the two other sides measuring 2 metres. We now have

AC² = BC² + AB²

Where AC is the hypotenuse 6, BC is one of the other sides 2, and AB is the unknown (slant height).

6² = 2² + AB²

36 = 4 + AB²

Subtract 4 from both sides of the equation

32 = AB²

Add the square root sign to both sides of the equation

√32 = √AB²

5.66 = AB

The area of the triangular surface now becomes;

Area = 1/2*base*height

Area = 1/2 x (4 x 5.66)

Area = 1/2 x 22.64

Area = 11.32 metres²

The total of all three surfaces would be derived as

Surface areas = 11.32 x 3

Surface areas = 33.96 metres²

For the base area, with all three sides measuring 4 metres each, the area would be derived but first we need to calculate the slant height first.

With a line drawn perpendicular to one of the sides, we now have a right angled triangle with the hypotenuse as 4, one of the sides as 2, and the other side unknown (slant height).

AC² = AB² + BC²

4² = 2² + BC²

16 = 4 + BC²

Subtract 4 from both sides of the equation

12 = BC²

Add the square root sign to both sides of the equation

√12 = √BC²

3.46 = BC

The area of the base triangle now becomes;

Area = 1/2*base*height

Area = 1/2 x (4 x 3.46)

Area = 1/2 x (13.84)

Area = 6.92

The total lateral area would now become

Lateral area = Surface area + Base area

Lateral area = 33.96 + 6.92

Lateral area = 40.88 metres²  

Answer:

12 and 36 on edge

Step-by-step explanation:

If (x, y) is a solution to the system of equations, what is the value of y?

x +
1
/8
y = 20
x +
1
/4
y = 4

Answers

Answer:

4

Step-by-step explanation:

1 Juanita has 1 1/2 gallons of milk. How many cups of milk
does she have? Explain how you know.

Answers

Answer:88 cups

Step-by-step explanation:

Answer: 24 cups

Step-by-step explanation:

[tex]1 \frac{1}{2}gallons[/tex]

Convert the mixed number to an improper fraction by multiplying the whole number by the denominator and adding the numerator. All of this over the same denominator.

Then, we know that 1 gallon equals 16 cups, we're going to use this as our conversion factor.

[tex]\frac{3}{2}gallons(\frac{16cups}{1gallon})=24cups[/tex]

Find the solution set of the inequality of 4x−1<11.

Answers

Answer:

x < 3

Step-by-step explanation:

4x - 1 < 11

4x < 12

x < 3

Answer:

x<3

Step-by-step explanation:

!48Points!
Area and percent covered by guano of select danger island in February 2017​

Answers

Answer:

494,080

295,229.7

53,093.4

455,416

100,809

Step-by-step explanation:

Beagle:

38.6/100 × 1280000

494,080

Brash:

44.13/100 × 669000

295,229.7

Earle:

24.81/100 × 214000

53,093.4

Heroina:

43.79/100 × 1040000

455,416

Platter:

48.8/100 × 207000

100,809

Answer:

Beagle = 494,080

Brash = 295,229.7

Earle = 53,093.4

Heroina = 455,416

Platter = 100,809

Step-by-step explanation:

Beagle

38.60% × 1,280,000

= 494,080

Brash

44.13% × 669,000

= 295,229.7

Earle

24.81% × 214,000

= 53,093.4

Heroina

43.79% × 1,040,000

= 455,416

Platter

48.7% × 207,000

= 100,809

hope this helps

Tom has x oranges Marie has 60 more than twice the number of oranges Tom has choose the expression that shows how many oranges Marie has

Answers

Answer:

2x+60 is the expression for marie

What’s the surface area of 20 cm 10 cm and 3 cm

Answers

Answer:

200

Step-by-step explanation:

A=b×L

A=20×10

A=200

During an art show at the local gallery, Joy closely examined 2 pieces of art by each artist whose work was on display there. Each artist had an equal number of pieces on display. Is this sample of the art in the gallery likely to be representative?

Answers

Final answer:

Joy's approach to sampling art at the gallery, by examining 2 pieces per artist, can be representative if the selections span the artists' exhibited range. However, the representativeness might be limited if artists have a wide variety of styles or themes not captured by just two pieces.

Explanation:

Joy, by examining 2 pieces of art by each artist at the art show, attempts a representative sampling of the gallery's overall offerings. Whether this approach yields a representative sample depends on a few key factors. Primarily, the diversity and range of the artists' works on display must be considered. If each artist displays a wide variety of work and Joy's selections span this variety, her sample could offer a fair representation of the gallery's exhibition. However, if the artists have a vast body of work with significant variations in style, theme, or period not captured by just two pieces per artist, Joy's sample may not accurately represent the entire collection.

Furthermore, the extent to which the selected works reflect the artists’ core themes or periods plays a critical role in determining representativeness. Assuming each artist's work on display has an equal chance of being selected and Joy chooses pieces that span the artists' exhibited range, the sample can be somewhat representative. Nonetheless, a truly comprehensive view would likely require examining a greater number or a more strategically chosen set of artworks.

Joy’s examination provides valuable insights, but for a truly representative view of the gallery, additional observations or data would be beneficial.

Let’s explore the concept of representative samples in the context of Joy’s art gallery experience.

1. Understanding Representative Samples:

o A representative sample is a subset of a larger population that accurately reflects the characteristics of the entire population. In this case, the population consists of all the art pieces displayed in the gallery.

o When we say a sample is “representative,” it means that the selected pieces adequately capture the diversity and essence of the entire collection.

2. Joy’s Situation:

o Joy closely examined 2 pieces of art by each artist. Since each artist had an equal number of pieces on display, Joy effectively observed a balanced representation of the artists’ work.

o By examining multiple pieces from each artist, Joy has a better chance of encountering a variety of styles, themes, and techniques.

3. Likelihood of Representativeness:

o Given that Joy looked at 2 pieces from each artist, we can consider this sample as potentially representative.

o However, there are a few factors to consider:

 Artistic Diversity: If the artists’ styles are vastly different, the sample may not fully represent the entire gallery’s range.

 Number of Artists: If there are only a few artists in total, the sample might be less representative.

 Gallery Size: The larger the gallery, the more challenging it is to capture full representativeness with a limited sample.

4. Conclusion:

o While Joy’s sample is a good start, it’s essential to recognize its limitations.

o To determine true representativeness, we’d need more information about the total number of artists, the overall collection size, and the diversity of artistic approaches.

In summary, Joy’s examination provides valuable insights, but for a truly representative view of the gallery, additional observations or data would be beneficial.

What is the perimeter of ABC with vertices A(-2,9), B(7,-3), and C(-2,-3) and in the coordinate plain?
A. 21 units
B. 15 units
C. 34 units
D. 36 units

Answers

Answer:

Step-by-step explanation:

A - C = ( -2, 9) - (- 2 -3) 

= ( 0, 12) 

AC = 12 

B - C = (7 - 3) - ( - 2 -3) 

= (9, 0) 

BC = 9 

ABC is a right -angled triangle with AC as the hypotenuse 

AC = sqrt( 9^2 + 12^2) 

= sqrt(81 + 144) 

= srqt(225) 

= 15 

Perimeter = 12 + 9 + 15 

= 36 units 

 So the answer is 36 units

Answer:

36units

Step-by-step explanation: A - C = ( -2, 9) - (- 2 -3) 

= ( 0, 12) 

AC = 12 

B - C = (7 - 3) - ( - 2 -3) 

= (9, 0) 

BC = 9 

ABC is a right -angled triangle with AC as the hypotenuse 

AC = sqrt( 9^2 + 12^2) 

= sqrt(81 + 144) 

= srqt(225) 

= 15 

Perimeter = 12 + 9 + 15 

= 36 units 

 So the answer is 36 units

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What is the volume of a square pyramid if the length of an edge of the base is 7 and the altitudeof the pyramid is 12?(1) 28(2) 56(3) 196(4) 588 Which statement is MOST accurate about fossilization?A. Only invertebrates fossilize B. Only animals with hard structure fossilize C. Animals aways fossilize, but plants rarely doD. All organisms fossilize,- condition dependent Who was a commander of the Union army during the Civil War? Robert E. Lee. Jefferson Davis Abraham Lincoln George McClellan HELP 13 MINUTES LEFT A quality control expert at LIFE batteries wants to test their new batteries. The design engineer claims they have a standard deviation of 6262 minutes with a mean life of 606606 minutes. If the claim is true, in a sample of 9999 batteries, what is the probability that the mean battery life would be greater than 619619 minutes? Round your answer to four decimal places. A student council has nine officers, of which six are girls and three are boys. If two officers are chosen at random to attend a meeting with the principal, what is the probability that the first officer chosen is a girl and the second is a boy? please help Which two territories are located southeast of the contiguous United States? Wake Island and Puerto Rico Wake Island and Guam US Virgin Islands and Puerto Rico Guam and the US Virgin Islands A coupon for a buy one get one free entree deal is an example of what type of marketing?Promotion Pull marketing Push marketing Personal selling did the saigon government or the viet cong control more of the south vietnam in 1973 How did Michael Jordan make the Charlotte Bobcats more successful?A) He focused on coaching rather than branding.B) He returned to the court as a player for the team.C) He hired a new coach and focused on the branding.D) He learned from other coaches how to manage a team. How is geometry fundamental to being a pediatrician? Which of these are reasons Lincoln hated slavery?Check any of the boxes that apply.It enabled enemies of freedom to call the United States hypocritical.It caused friends of freedom to doubt their own sincerity.It forced good men into a war with civil liberty.It was bad for the economy.I hate it because it deprives our republican example of its just influence in the worldenables the enemies of free institutions, with plausibility, to taunt us as hypocritescauses the real friends of freedom to doubt our sincerity, and especially because it forces so many really good men amongst ourselves into an open war with the very fundamental principles of civil liberty.Abraham Lincoln1858 How does an author use characters to develop the theme and plot within a series of books or stories?es )A)An author only considers the past actions of a character.B)An author only considers the present actions of a character.C)An author only considers the future actions of a character.D)An author considers the past, present, and future actions of a character. In driving down to Salem, Nathan strictly followed the speed limit. He drove 55 mph for 15 minutes in the city and then 65 mph for 25 min through the countryside.What was Nathans average speed for the whole trip? A mechanic uses a jack to lift up a car. He exerts a force of 11,000 N at a distance of 3m from the axis of rotation. How much torque was put on the car? The job of the womens Air Force service pilot was to? 1. An acetic acid solution that is 60.0% HC2H302 (by mass) contains60.0 g acetic acid and 100.0 g water60.0 g acetic acid and 40.0 g water60 moles of acetic acid60.0 g acetic acid and 60.0 g water According to a 2014 research study of national student engagement in the U.S., the average college student spends 17 hours per week studying. A professor believes that students at her college study less than 17 hours per week. The professor distributes a survey to a random sample of 80 students enrolled at the college. From her survey data the professor calculates that the mean number of hours per week spent studying for her sample is 15.6 hours per week with a standard deviation of 4.5 hours per week. The professor chooses a 5% level of significance. What can she conclude from her data? Group of answer choices The data supports the professors claim. The average number of hours per week spent studying for students at her college is less than 17 hours per week. The professor cannot conclude that the average number of hours per week spent studying for students at her college is less than 17 hours per week. The sample mean of 15.6 is not significantly less than 17. Nothing. The conditions for use of a T-model are not met. The professor cannot trust that the p-value is accurate for this reason. Williams Optical Inc. is considering a new lean product cell. The present manufacturing approach produces a product in four separate steps. The production batch sizes are 45 units. The process time for each step is as follows: Steam Workshop Downloader