What is the lateral area of the cone to the nearest whole number? The figure is not drawn to scale.
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Captionless Image
34311 m^2
18918 m^2
15394 m^2
28742 m^2

Answer:

Janice and Karen could do in 1 day:

Step-by-step explanation:

To identify how much of the job could janice and caren do in 1 day, first, we must find how much of the job make just 1 person at the same rate:

If three persons make a job in 3 1/3 days, 1 person make the job in x:

Then:

Just a person would need 10 days to complete a job, now, we're gonna divide this value in 2 to obtain the time that need two persons to complete a job:

How two persons need 5 days to complete a job (in this case, the two persons are Janice and Karen), we can make a simple rule of three to obtain the percentage made in 1 day:

Then:

As you can see, Janice and Karen just in a day could do 20% of the job.

To convert 0.1667 to a fraction, we write it as 1667/10000, and simplify it to 1/6. Hence, the fraction of .1667 is 1/6.

To convert the decimal number 0.1667 to a fraction, we can write it as 1667/10000. This fraction can be simplified by dividing both the numerator and the denominator by their greatest common factor, which is 167.

1667 ÷ 167 = 10

10000 ÷ 167 = 60 + 40/167

So, the fraction equivalent to 0.1667 is 1667/10000, which can be simplified to 10/60 + 40/167.

10/60 can be simplified to 1/6, so the final simplified fraction is:

0.1667 = 1/6 + 40/167

Therefore, the fraction equivalent to 0.1667 is 1/6.

Converting a decimal to a fraction involves expressing a decimal number as a ratio of two integers. To convert a decimal to a fraction, the decimal is written in the form of a fraction, with the decimal value as the numerator and a power of 10 as the denominator. The resulting fraction can be simplified by finding the greatest common factor between the numerator and denominator, and then dividing both by that factor. For example, to convert 0.1667 to a fraction, we write it as 1667/10000, and simplify it to 1/6.

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Answer:

1. 3 = 5x2 – 10x

2. 8 = 5(x2 – 2x + 1)

3. StartFraction 8 Over 5 EndFraction = (x – 1)2

Step-by-step explanation:

3-4x=5x^2-14x

3=5x^2-14x+4x

3=5x^2-10x

5x^2-10x-3=0

1. 3 = 5x2 – 10x

2. 8 = 5(x2 – 2x + 1)

8=5x^2-10x+5

8-5=5x^2-10x

3=5x^2-10x

3. StartFraction 8 Over 5 EndFraction = (x – 1)2

8/5=x^2-2x+1

Cross product

8=5(x^2-2x+1)

8=5x^2-10x+5

8-5=5x^2-10x

3=5x^2-10x

Answer:

2,4,7

Step-by-step explanation:

The amount that Imran put into his savings account each week is $57.2

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

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

20% of Wage = Amount paid

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

20% of 286 = Amount paid

Rewrite as

Amount paid = 20% of 286

Evaluate

Amount paid = 57.2

Hence, the weekly amount is $57.2

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Answer:

10 - 3 × (4 - 2) + 1 = 5

Step-by-step explanation:

10 - 3 * 2 + 1 = 5

10 - 6 + 1 = 5

4 + 1 = 5

= 5

Answer:

d = 6.246 m

Step-by-step explanation:

Given that,

The distance around a circular pool is 39.25 m.

We need to find how does the lifeguard have to walk from the edge of the pool to the centre of the pool. It means we need to find the radius r of the circle.

ATQ,

Circumference = 2πr = 39.25 m

r is radius

\(r=\dfrac{39.25 }{2\pi}\\\\r=6.246\ m\)

So, the required distance is 6.246 m.

Answer:

As we approach x = 5 from the left, the function becomes more and more negative and approaches negative infinity. Therefore, the limit of f(x) as x approaches 5 from the left is negative infinity.

The function has a vertical asymptote at x = 5 since the denominator of the function becomes zero at x = 5.

Step-by-step explanation:

That means the 96 is  75% of your grade

   96 (.75) + 75 (.25) = 90.75  final grade

Answer:

0.18

Step-by-step explanation:

Given: 60% students were in high school, 40% were in middle school and of the high school students, 30% had visited a foreign country

To find: probability that the student is in high school and has visited a foreign country

Solution:

Let x denotes total number of students

Number of students in high school = 60% of x = \(\frac{60}{100}x\)

Number of students in middle school = 40% of x = \(\frac{40}{100}x\)

Number of students who are in high school and have visited foreign country =  30% of Number of students in high school = \(\frac{30}{100}(\frac{60}{100})x=\frac{18}{100}x\)

Probability that the student is in high school and has visited a foreign country = Number of students who are in high school and have visited foreign country/ Total number of students = \(\frac{\frac{18}{100}x}{x}=\frac{18}{100}=0.18\)

Answer: TRUE

SUIIIIIIIII

The statement that "subset h of a vector space v is a subspace of v if the zero vector is in h" is true.

A subspace is a vector space that is also encompassed within another vector space.

So, while each subspace is a vector space in its own right, it is also defined with respect to another (bigger) vector space.

Three components must be demonstrated to prove that a subset is a subspace:

Additionally, demonstrate that it is closed.

Show that it is closed when scalar multiplication is used.

Show that vector 0 is a part of the subset.

As it is stated in the question;

h represents a subset of the vector space v.

The zero vector is contained in h.

This implies that h must be in the v subspace.

Hence, the statement that "subset h of a vector space v is a subspace of v if the zero vector is in h" is true.

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The product is given as 6y²√10 +12√5y. Option A

It is important to know that algebraic expressions are defined as expressions that are made up of terms, variables, constants and factors.

From the information given, we have that;

3√10 (y²√4 + √8y)

Substitute the value√4 with 2

3√10(y²×2 +√8y)

Substitute √8y with 2√2y

3√10(2y²+2√2y)

Expand the bracket, we get;

3×2y²√10 + 3×2×√10×√2y

Multiply the value, we get;

6y²√10 + 6√20y

simplify √20y to 2√5y

6y²√10 + 6 × 2√5y

Multiply the values, then add the product of the separate expressions, we get;

6y²√10 +12√5y

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The complete question:

What is the following product? Assume y greater-than-or-equal-to 0

3 StartRoot 10 EndRoot (y squared StartRoot 4 EndRoot + StartRoot 8 y EndRoot)

A. 6 y squared StartRoot 10 EndRoot + 12 StartRoot 5 y EndRoot

B. 6 StartRoot 10 EndRoot + 12 StartRoot 5 y EndRoot

C. 6 y squared StartRoot 10 EndRoot + 4 StartRoot 5 y EndRoot

D. 3 y squared StartRoot 10 EndRoot + 12 StartRoot 5 y EndRoot

The dimensions of the largest field that can be enclosed with 136 ft of fencing are 72 ft by 64 ft. The area of the field is 4608 ft2.

The amount of fencing needed to enclose the field is equal to the sum of the lengths of all four sides. Since 136 ft of fencing is available, the sum of the lengths of all four sides must equal 136 ft.

Let x represent the length of one side and y represent the length of the other side. Then the equation for the amount of fencing needed can be written as follows:

x + x + y + y

= 136

Simplifying, we get:

2x + 2y = 136

To find the dimensions of the largest field that can be enclosed, we must maximize the area of the field. The area of the field is equal to the product of the lengths of the two sides:

A = xy

To maximize the area of the field, we must take the derivative of A with respect to x and set it equal to 0.

A' = y

Setting A' equal to 0, we get:

y = 0

Since y cannot be 0, this equation has no solution. To maximize the area of the field, we must instead take the derivative of A with respect to y and set it equal to 0.

A' = x

Setting A' equal to 0, we get:

x = 0

Since x cannot be 0, this equation has no solution. To maximize the area of the field, we must instead solve the equation 2x + 2y = 136 for x and y.

2x + 2y = 136

2x = 136 - 2y

x = 68 - y

Substituting x = 68 - y into A = xy, we get:

A = (68 - y)y

A = 68y - y2

Taking the derivative of A with respect to y and setting it equal to 0, we get:

A' = 68 - 2y

68 - 2y = 0

2y = 68

y = 34

Substituting y = 34 into x = 68 - y, we get:

x = 68 - 34

x = 34

Therefore, the dimensions of the largest field that can be enclosed with 136 ft of fencing are 34 ft by 34 ft. The area of the field is 4608 ft2.

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Answer:

a) the product is equal to 953.

b) the product is greater than 443.

c) the product is greater than 181.

Step-by-step explanation:

a) 953 × 63/63 = 953

Therefore, the product is equal to 953.

b) 443 × 86/79 = 482.25

Therefore, the product is greater than 443.

c) 181 × 30/28 = 193.93

Therefore, the product is greater than 181.

Hope this helps =)

Answer:

non of these choices I guess

Answer:

-17

Step-by-step explanation:

as the picture says I have moved 21 so that the numbers are together and it's easier to solve then you move 3 to divide it on the other side and x is left alone.

The value of x to one decimal place in the given question is 30.33 and 14.76.

Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot. Trigonometric ratio can be defined in terms of ratios of perpendicular, bases and hypotenuse. These are defined only in right angled triangles (triangles whose one angle is of 90 degree measure).

We are given that;

In triangle 1

Hypotenuse= x

Perpendicular=27

Angle between base and hypotenuse= 63

In triangle 2

Hypotenuse= 18

Base= x

Angle between hypotenuse and base=35

Now in triangle 1

sin63= 27/x

0.89=27/x

x=27/0.89

x=30.33

In triangle 2

cos35=x/18

0.82=x/18

x=14.76

Therefore by trigonometric identities the answer will be 30.33 and 14.76.

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Answer:

The total cost of the material was $31.35

14 people gave the modal response

In a survey, modal response is the most frequently occurring response to a question. It can be used to identify the most important issues or concerns of a population.

You will notice the key says one circle represents 4 people. So half circle represents 2 people. Thus, we can say:

Swedish = 4 + 4 + 2 = 10

German = 4 + 4 = 8

French = 4 + 4 + 4 + 2 = 14

Since French has the highest number of people (i.e. 14 people). Therefore, 14 people gave the modal response.

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Answer:

purple shape= 1824 inches squared

For the green rhombus:

Answer: 3 ft^2

Explanation:

you can add a line HA to split the rhombus into two triangles

Area of each triangle

= (2 x 1.5) / 2

= 1.5 ft^2

As there are two triangles, so you can just add 1.5 and 1.5 ft^2 together, and the ans is 3 ft^2

The converse of the conditional is: If a polygon is either a square or a rectangle, then it has four right angles.

This is the converse of the original conditional statement, which means we have switched the hypothesis and the conclusion of the statement. The converse of a conditional statement may or may not be true, and in this case, the converse is actually true. If a polygon is a square or a rectangle, then it is guaranteed to have four right angles. This is because the definition of a rectangle and a square includes the property of having four right angles. However, there are other polygons that may have four right angles as well, such as a parallelogram or a trapezoid, but these are not necessarily squares or rectangles.

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15 bags are expected for the journey for 9 people to fit backpacks in the trailer.

The fundamental principle of multiplication

To calculate the sum of two or more numbers, utilize the mathematical operation of multiplication. If an event can happen in m different ways and a second event can happen in n different ways after it, then the two events that happen in succession can happen in m n distinct ways.

Given that 5 backpacks can fit in the trailer for every 3 people.

Then 3 people = 5 backpacks

1 people = \(\frac{5}{3}\) backpacks

therefore  If 9 people are going on the trip, then;

9 people = \(\frac{5}{3}*9\) backpacks

= 5 x 3

= 15 backpacks

Hence, the trailer can fit 15 backpacks if 9 people go on the trip.

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Answer:

9 yards

Step-by-step explanation:

The Pythagorean theorem: \(a^2+b^2=c^2\)

Where a and b are legs, and c is the hypotenuse.

The hypotenuse is the side opposite from the right angle in the right triangle.

The hypotenuse would be AC, measured 15 yards, because it is opposite from the right angle. BC, the unmeasured side would be a leg. I can call that the "b" leg and AB, the 12 yard side the "a" leg.

Substitute the measures into the theorem to get: \(12^2+?^2=15^2\)

\(144+?^2=225 ; ?^2=81; ?=\sqrt{81} =9\)

Answer:

I think it's a

Step-by-step explanation:

a - many-to-many

b - many-to-one

c - one-to-one

d - one-to-one

Suppose dorothy drops a ball from a height of 10 feet. after the ball hits the floor, it rebounds 65% of its previous height.The formula that represents the height of the ball after its nth bounce is given by

\(y = (0.65)^n \times 10 feet.\)

When a ball is dropped from a height of 10 feet, it rebounds to 65% of its previous height each time it bounces.

To find the height of the ball after the nth bounce, we need to use a geometric sequence formula,

which is given by

\(y = ar^n-1,\)

where a is the initial term,

r is the common ratio, and

n is the number of terms.

Here, a = 10 feet,

r = 0.65, and

n is the nth term or

the number of times the ball bounces after it is dropped for the first time.

Therefore, the formula that represents the height of the ball after its nth bounce is given by

\(y = (0.65)^n \times 10 feet.\)

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The given expressions, when A=1, B=0, and C=1, X evaluates to 1.001; when A=B=C=1, X evaluates to 1.111; and when A=B=C=0, X evaluates to 0.000. These evaluations are based on the given values of A, B, and C, and the notation ¯¯¯¯¯¯BC represents the complement of BC.

To evaluate the expression X = A.¯¯¯¯¯¯BC, we substitute the given values of A, B, and C into the expression.

(a) For A = 1, B = 0, and C = 1:

X = 1.¯¯¯¯¯¯01

To find the complement of BC, we replace B = 0 and C = 1 with their complements:

X = 1.¯¯¯¯¯¯01 = 1.¯¯¯¯¯¯00 = 1.001

(b) For A = B = C = 1:

X = 1.¯¯¯¯¯¯11

Similarly, we find the complement of BC by replacing B = 1 and C = 1 with their complements:

X = 1.¯¯¯¯¯¯11 = 1.¯¯¯¯¯¯00 = 1.111

(c) For A = B = C = 0:

X = 0.¯¯¯¯¯¯00

Again, we find the complement of BC by replacing B = 0 and C = 0 with their complements:

X = 0.¯¯¯¯¯¯00 = 0.¯¯¯¯¯¯11 = 0.000

In conclusion, when A = 1, B = 0, and C = 1, X evaluates to 1.001. When A = B = C = 1, X evaluates to 1.111. And when A = B = C = 0, X evaluates to 0.000. The evaluation of X is based on substituting the given values into the expression A.¯¯¯¯¯¯BC and finding the complement of BC in each case.

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Answer:

Michael played 4 games, Sherry played 6 games and Rashad played 5 games

Step-by-step explanation:

Let X, Y and Z represents the  number of games for the three players.

Based on the given information, three equations can be formed -

30 X + 25 Y + 20 Z = 370 ---(1)

X + Y + 2Z = 20 ---(2)

2X + 5Y + 4 Z = 58 ---(3)

From Equation (2), X = 20 -Y-2Z

Substituting value of X from equation 2, in equation 1 and 2, we get -

30 (20-Y-2Z) + 25 Y + 20 Z = 370

600 -30Y-60Z + 25 Y + 20 Z = 370

-5Y -40Z = -230

Y + 8Z = 46 ----(4)

2(20-Y-2Z) + 5Y + 4 Z = 58

40 -2Y-4Z + 5Y + 4 Z = 58

3Y = 18

Y = 6

Substituting value of Y in equation 4, we get -

8Z = 46-6

8Z = 40

Z = 5

Substituting value of Y and Z in equation 2 we get

X + 6 + 2* 5 = 20

X = 20-16 = 4

Hence, Michael played 4 games, Sherry played 6 games and Rashad played 5 games

1) An equation that gives the total cost in dollars, d, of attending the event if you order z ounces of fro-yo is d = $5 + $0.40z

2) 2. If your cup weighs 14 ounces, you would pay $10.6 in total for the evening.

A mathematical equation is a statement that two amounts or values are equal, such as 6 x 4 = 12 x 2. 2. A noun that counts.

Given,

The school jazz band is playing at Sweet Yo's, a frozen yogurt shop. It costs $5 to get in the door for the event and if you'd like to eat fro-yo to eat while listening to their tunes you can fill your cup with yogurt and toppings for $0.40 per ounce.

1) Total cost = d

Total ounces = z

Equation

d = $5 + $0.40z

2) If cup weighs 14 ounces

d = $5 + 0.40(14)

d = $5 + $5.6

Total cost:

d = $10.6

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Answer:

900 miles

Step-by-step explanation:

i took the quiz and got one-hundred percent