Which of the following correctly expresses the number below in scientific notation? 0.0000899

The volume of ice cream that fills one waffle cone to the top is 13.09 cubic inches.

The waffle cone has the shape of a circular cone. The volume of a cone is given by the formula \(V = (1/3) * \pi * r^2 * h\), where r is the radius of the circular base and h is the height of the cone.

The diameter of the cone is given as 5 inches, so the radius is half of the diameter, or 2.5 inches. The height is given as 6 inches. Substituting these values into the formula, we get:

V = \((1/3) * 3.14 * (2.5 inches)^2 * 6 inches\)

V = 13.09 cubic inches

Therefore, the volume of ice cream that completely fills one waffle cone to the top is 13.09 cubic inches (rounded to two decimal places).

To find the volume of ice cream that fills the waffle cone completely to the top, we first note that the waffle cone has the shape of a circular cone. We use the formula for the volume of a cone, which is \(V = (1/3) * \pi * r^2 * h\), where r is the radius of the circular base and h is the height of the cone.

We are given the diameter of the cone, which is 5 inches, and we find that the radius is half of the diameter, or 2.5 inches. We are also given the height of the cone, which is 6 inches. Substituting these values into the formula, we can calculate the volume of the cone as 13.09 cubic inches (rounded to two decimal places). Therefore, the volume of ice cream that completely fills one waffle cone to the top is 13.09 cubic inches.

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Step-by-step explanation:

Lola's pet turtle walked 10 feet, and then half that length again. This means that Lola's pet turtle walked:

= 10 + (1/2 × 10) = 10 + 5 = 15 feet

Lola's baby brother walked 3 feet, and then half that length again. Total length walked will be:

= 3 + (1/2 × 3) = 3 + 1.5 = 4.5 feet

Lola's hamster walked 6.5 feet, and then half that length again. Total length walked will be:

= 6.5 + (1/2 × 6.5) = 6.5 + 3.25 = 9.75

Lola's mom walked x feet, and then half that length again. Total length walked will be:

= x + (1/2 × x) = x + 0.5x = 1.5x

Total feet walked by the whole member of the family will be:

= 15 + 4.5 + 9.75 + 1.5x

= 29.25 + 1.5x

Answer:

turtle: 10 + 5 = 15

brother:  3 + 1 1/2 = 4 1/2

hamster: 6 1/2 + 3 1/4 = 9 3/4

Mom: x + 1/2x = 1 \(\frac{1}{2}\)x

Step-by-step explanation:

Answer:

y = 1/2x - 3

Step-by-step explanation:

Slope: Up 1 over 2

Y-Int: -3

y=mx+b

Answer:

100°

since being sum of angles of triangle

Answer c

w = 81°, because 180 – (42 + 39) = 99 and 180 – 99 = 81

Step-by-step explanation:

The statement which true about the triangle is a) w = 99°, because 42 + 39 = 81 and 180 – 81 = 99.

A triangle is a shape consisting of 3 sides and 3 vertices (180º total) of a straight line. As early as 300 BC, Euclid had come up with the concept that the sum of three angles is 180°. This makes great contributions to the concept of shapes, such as finding the lengths of their sides and angles.

A triangle is a polygon with three sides and three vertices. It is one of the basic shapes in geometry with vertices A, B and C represented as triangle ABC.

In Euclidean geometry, every three points define a unique triangle and a unique plane (that is, two-dimensional Euclidean space) when they do not collide. In other words, only one plane contains its sides, and every triangle contains many faces. If the whole geometry is just Euclidean planes, there is only one plane and everything is contained within it; however, in high-dimensional Euclidean space, this is no longer true.

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The given inequality is:$$x^5+x^4-6x^3+x^2+x-6\ge0.$$Let's solve it by factoring the expression and finding the solution to the inequality.  First, we can factor the given polynomial as:$$x^5+x^4-6x^3+x^2+x-6=(x-1)(x+2)(x^3-3x^2+x+3).$$Therefore, the inequality can be rewritten as$$(x-1)(x+2)(x^3-3x^2+x+3)\ge 0.$$Now, we can solve this inequality by analyzing the sign of each factor in the three intervals where the entire real line is divided:$$\begin{array}{c|ccccccccccc} x & -\infty & & -2 & & -1 & & 1 & & & 2 & & \infty \\ \hline (x-1) & - & - & - & - & - & 0 & + & + & + & + & + & + \\ (x+2) & - & - & - & 0 & + & + & + & + & + & + & + & + \\ (x^3-3x^2+x+3) & - & - & + & + & + & + & + & + & + & + & + & + \\ \hline (x-1)(x+2)(x^3-3x^2+x+3) & - & + & - & 0 & - & 0 & + & + & + & + & + & + \\ \end{array}$$Thus, the solution set of the inequality is $(-\infty,-2]\cup[-1,2]\cup[2,\infty)$, which is option D.

Answer:

durmio 9 horas

Step-by-step explanation:

si cuentas a como va el reloj (de 1 a 12 y de am a pm) y empiesas desde Las 6 se va hasta que llegue a 12, empieza a ser 1 otravez.

Answer:

198

Step-by-step explanation:

27/9 becomes three and then there is no need to divide 198 by three because it is being multiplied by three

Answer:

198

Step-by-step explanation:

27/9= 3

198/3= 66

66 x 3= 198

Question 11

The directrix is a horizontal line, which means the parabola opens either upward or downward. In this case, it opens downward. This is because all answer choices have a negative leading coefficient. Also, it's because the focus is below the directrix.

For vertically opening parabolas, we use this form

4p(y-k) = (x-h)^2

where (h,k) is the vertex and p is the focal distance, aka the distance from the vertex the focus. To find (h,k), we start at the focus (0,-4) and move directly up until we reach the directrix y = 4. We'll arrive at (0,4). The midpoint of (0,-4) and (0,4) is (0,0) which is the vertex's location. So (h,k) = (0,0).

Note that in moving from (0,-4) to (0,4) is a span of 4 units. So this is the value of p.

Plug h = 0, k = 0, p = 4 into the equation mentioned and solve for y

4p(y-k) = (x-h)^2

4*4(y-0) = (x-0)^2

16y = x^2

y = (1/16)x^2

The only adjustment we need to make is to change the 1/16 to -1/16 so that the parabola opens downward.

===============================================

Question 3

The given equation is in the form y = ax^2+bx+c

In this case,

Let's compute the x coordinate of the vertex h

h = -b/(2a)

h = -4/(2*2)

h = -1

This h value is plugged into the original function to find k

f(x) = 2x^2+4x+3

f(-1) = 2(-1)^2+4(-1)+3

f(-1) = 1

We find that h = -1 and k = 1 pair up together. In short, (h,k) = (-1,1) is the vertex.

The fraction of the two squares that is shaded exists 5/16 area shaded.

A diagonal is a line segment connecting two opposite corners (vertexes) of a polygon, however it is not an edge (side). In other words, it connects any two non-adjacent polygonal vertices. Therefore, by connecting any two vertices in a polygon directly (i.e., without using a side), we create a diagonal.

A line segment known as a diagonal joins two polygonal vertexes (corners), although it is not an edge (side). To put it another way, it joins any two polygonal vertices that are not adjacent. Therefore, by connecting any two vertices in a polygon directly (i.e., without using a side), we create a diagonal.

The triangle on the bottom exists 1/2 × 1/2 × 1/2  of the original area of the lower square = 1/8 of the lower square

2 square =  [1/2 (square) + 1/8 (square) ] / 2 square  

= 5/16 area shaded

Therefore, the fraction of the two squares that is shaded exists 5/16 area shaded.

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The fraction of the two squares that is shaded exists 5/16 area shaded.

A diagonal is a line segment that joins two opposed polygonal corners (vertexes), although it is not an edge (side). In other words, it joins any two polygonal vertices that are not neighbouring. As a result, we can make a diagonal by directly joining any two vertices of a polygon (i.e., without utilising a side).

Although it is not an edge, a line segment known as a diagonal connects two polygonal vertexes (corners) (side). In other words, it connects any non-adjacent pair of polygonal vertices. As a result, we can make a diagonal by directly joining any two vertices of a polygon (i.e., without utilising a side).

The triangle on the bottom exists 1/2 × 1/2 × 1/2  of the original area of the lower square = 1/8 of the lower square

2 square =  [1/2 (square) + 1/8 (square) ] / 2 square  

= 5/16 area shaded

Therefore, the fraction of the two squares that is shaded exists 5/16 area shaded.

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the probability of overbooking is 0.0334, or about 3.34%.To find the probability of overbooking, we need to determine the probability that more than 19 passengers will show up for the flight.

We know that 16 passengers are guaranteed to show up, so we need to consider the probability that at least four of the remaining passengers will also show up.

Let X be the random variable representing the number of additional passengers who show up for the flight. X can take on values from 0 to 4. We can use the binomial distribution to find the probability of each possible value of X:

P(X = k) = (n choose k) {multiply} p{power}k  {multiply} (1-p){power}(n-k)

where n is the number of remaining passengers (4), p is the probability that a passenger shows up (0.55), and (n choose k) is the binomial coefficient.

P(X >= 4) = P(X = 4) + P(X = 3) + P(X = 2) + P(X = 1) + P(X = 0)

= (4 choose 4)  x  0.55{power}4  x 0.45{power}0 + (4 choose 3) x 0.55{power}3 x 0.45{power}1 + (4 choose 2)  x 0.55{power}2  x 0.452 + (4 choose 1)  x  0.55{power}1 x 0.45{power}3 + (4 choose 0) x  0.55{power}0  x 0.45{power}4

= 0.0334

Therefore, the probability of overbooking is 0.0334, or about 3.34%.

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Answer:

Scientific Notation:

1.88 * 10 to the fifth5

Expanded Form:

188000

Step-by-step explanation:

940 * (2* 10^2) = 940 * 200

Answer: 188000

Hope this helps =)

Answer: 1.88 × 10⁶

Step-by-step explanation:

did this question on khan academy and got it right

Answer:

Edge 2021

Step-by-step explanation:

2nd one is C, 3x^4

Answer:

x=3

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

8 - 5 = 3

(Checking v)

3 + 5 = 8

The value of x in the equation is x = -1 and x = -4.67

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

3x^2 + 13x + 4 = 0

This is a quadratic equation that can be solved using the quadratic formula:

x = (-b ± √(b² - 4ac)) / 2a

where a = 3, b = 13, c = 4

So, we have

x = (-13 ± √(13² - 4 * 3 * 4)) / 2 * 3

x = (-17 ± √(169 +- 48)) /6

x = (-17 ± 11) /6

Expand

x = (-17 + 11)/6 and x = (-17 - 11)/6

Evaluate

x = -1 and x = -4.67

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Answer:

2.25 (2 1/4) this is what i got for the answer to the division problem.

Step-by-step explanation:

sorry if i am wrong

Answer: the answer is 12

Step-by-step explanation:

2x+6 =4x-12

-2x=-18

x=9

3(9)-15

27-15

12

If Station 1 (at 74, 41) is 44 km away and Station 2( at 0,43 ) is 38 km away. The required approximate location of the GPS receiver is (42, 10).

The location of the GPS receiver can be determined with the help of trilateration. Trilateration is a process of determining absolute or relative locations of points by measurement of distances, using the geometry of circles, spheres, or triangles. If three stations (or more) are in known locations, with a known distance from the point of interest, we can determine the position of the GPS receiver with the help of trilateration.

It can be determined by the following method:

1: Plot the given stations on a coordinate plane. Stations are:

Station 1: (74, 41)

Station 2: (0, 43)

2: Calculate the distance of the GPS receiver from each station using the distance formula.

Distance Formula: The distance formula is used to find the distance between two points in the coordinate plane. The distance between points (x1,y1) and (x2,y2) is given by

d = √[(x2 - x1)² + (y2 - y1)²]

Station 1: Distance from station 1 = 44 kmSo, d1 = 44 km

Station 2: Distance from station 2 = 38 kmSo, d2 = 38 km

3: Plot the given distances as the circle on the coordinate plane.

Circle 1: Centred at (74, 41) with a radius of 44 km.

Circle 2: Centred at (0, 43) with a radius of 38 km.

4: The intersection of two circles. Circle 1 and Circle 2 intersect at point P (approx) (42, 10). So, the approximate location of the GPS receiver is (42, 10).

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The bearing of point A from point O is 256°.

In mathematics, a bearing is the angle in degrees measured clockwise from north. Bearings are usually given as a three-figure bearing. For example, 30° clockwise from north is usually written as 030°.

Given that, angle x= 076° and angle y = 111°.

Now, the bearing of point A from point O is

180°+ 076°

= 256°

Therefore, the bearing of point A from point O is 256°.

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Moving a negation inward over a disjunction changes disjunction into a conjunction and each of two statements is negated. Moving a negation inward over an existential quantifier changes quantifier to a universal quantifier.

Moving a negation inward over a universal quantifier changes the quantifier to an existential quantifier and the rest of the expression is negated.When we move a negation inward over a disjunction (OR), the disjunction changes into a conjunction (AND). Additionally, each of the two statements within the disjunction is negated. This is known as De Morgan's Law for negations of disjunctions.

Moving a negation inward over an existential quantifier (∃) changes the quantifier to a universal quantifier (∀), and the rest of the expression is negated. In other words, the negation applies to the entire expression, including the quantifier and the statement.

Similarly, moving a negation inward over a universal quantifier (∀) changes the quantifier to an existential quantifier (∃), and the rest of the expression is negated. Again, the negation applies to the entire expression, including the quantifier and the statement.

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answer is  y ≤ \(\frac{1}{3}x (-4)\)

Given that,

Area of shaded inequality below solid line is positive

and  y-intercept of the solid line is equal to  - 4

therefore,

The inequality must be

y ≤ \(\frac{1}{3}x (-4)\)

In Mathematics, inequality represents the mathematical expression in which both sides are not equal. If the relationship makes the non-equal comparison between two expressions or two numbers, then it is known as inequality in Maths. In this case, the equal sign “=” in the expression is replaced by any of the inequality symbols such as greater than symbol (>), less than symbol (<), greater than or equal to symbol (≥), less than or equal to symbol (≤) or not equal to symbol (≠). The different types of inequalities in Maths are polynomial inequality, rational inequality, absolute value inequality.

A system of linear inequalities in two variables includes at least two linear inequalities in the identical variables. When we solve linear inequality then we get an ordered pair. So basically, in a system, the solution to all inequalities and the graph of the linear inequality is the graph displaying all solutions of the system. Let us see an example to understand it.

the Linear inequality: 2x – y >1, x – 2y < – 1

The symbols ‘<‘ and ‘>’ express the strict inequalities and the symbols ‘≤’ and ‘≥’ denote slack inequalities. A linear inequality seems exactly like a linear equation but there is a change in the symbol that relates two expressions.

here is given step to easily find the value of inequality:

Step 1: The inequality is already in the form that we want. That is, the variable y y is isolated on the left side of the inequality.

Step 2: Change inequality to equality. Therefore, y > x + 1y>x+1 becomes y = x + 1y=x+1.

Step 3: Now graph the y = x + 1y=x+1. Use the method that you prefer when graphing a line. In addition, since the original inequality is strictly greater than symbol, \Large{>}>, we will graph the boundary line as a dotted line.

Step 4: The original inequality is y > x + 1y>x+1. The greater than symbol implies that we are going to shade the top area or region.

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The perimeter of the polygon is  22 units.

What is the area of the polygon?

The area of a polygon is defined as the area enclosed by the polygon's boundary. In other words, the region occupied by any polygon determines its area. In this lesson, we will learn how to calculate polygon area and the difference between polygon perimeter and area in detail.

we know that

the perimeter of a polygon is the sum of the length sides

in this problem, we have five vertices

so the polygon has five sides

Let,

A(-1, 3)

B(−1, 6)

C(2, 10)

D(5, 6)

E(5, 3).

the perimeter is equal to

P = AB + BC + CD + DE + AE

The formula to calculate the distance between two points is equal to

d = √(y₂ - y₁)² + (x₂ - x₁)²

The distance of AB:

A(-1, 3)

B(−1, 6)

d = √(6 - 3)² + (-1 - (-1))²

d = √(3)² + (0)²

d = 3

The distance of BC:

B(−1, 6)

C(2, 10)

d = √(10 - 6)² + (2 - (-1))²

d = √(4)² + (3)²

d = 5

The distance of CD:

C(2, 10)

D(5, 6)

d = √(6 - 10)² + (5 - 2)²

d = 5

The distance of DE:

D(5, 6)

E(5, 3).

d = √(3 - 6)² + (5 - 5)²

d = 3

The distance of AE:

A(-1, 3)

E(5, 3)

d = √(3 - 3)² + (5 - (-1))²

d = 6

Find the perimeter

the perimeter is equal to

P = AB + BC + CD + DE + AE

P = 3+5+5+3+6

P = 22 units.

Hence, the perimeter of the polygon is  22 units.

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The number of push-ups did sara did during gym class if for every 7 push-ups Dulce can do, Sara can do 6 is 24 push ups.

Number of push ups Dulce can do : number of push ups Sara can do

Let

number of push ups Sara does = x

7 : 6 = 28 : x

7/6 = 28/x

cross product

7 × x = 28 × 6

7x = 168

divide both sides by 7

x = 168/7

x = 24

Therefore, Sara does 24 push ups during the gym class.

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Answer: 1.75 more pounds!

Explanation: Beef: 1 pound is $4.25. now divide $4.25 by 4 to get 1/4 of the price for a pound. then add 1 pound of beef ($4.25) and 1/4 pound of beef ($1.06) which gives you $5.31

Beef:  1 pound is $2.85. now divide $2.85 by 4 to get 1/4 of the price of a pound. then add 1 pound of turkey ($2.85) and 1/4 pound of turkey ($0.71) which gives you $3.56

Now, 1 1/4 pounds of beef and 1 1/4 pounds of turkey subtract them and that gives you $1.75.

Hope that helps!

So the total amount of Alex's paycheck this week is $50 and the equation that we use is: paycheck = saving account deposit / (percentage deposited into saving account / 100)

To find the total amount of Alex's paycheck this week, you can use the following equation:

paycheck = saving account deposit / (percentage deposited into saving account / 100)

Plugging in the known values, we get:

paycheck = $35 / (70% / 100)

Simplifying the fraction, we get:

paycheck = $35 / 0.7

Solving for the paycheck, we find that the total amount of Alex's paycheck this week is $50.

So the total amount of Alex's paycheck this week is $50.

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When 293 college students are randomly selected and surveyed, it is found that 114 own a car. The upper limit for the 90% confidence interval for the percentage of all college students who own a car is 46.3%.

The given problem is an example of confidence intervals in statistics. The formula for finding the confidence interval in percentage is given below:

Confidence Interval in Percentage = P ± Z Score x √ (PQ/n)

where

P = Sample proportion

Q = 1 - P

n = Sample Size

Z Score is obtained from the Z-Table where the confidence level is given.

To obtain the upper limit, the following formula should be used:

Upper Limit of the Confidence Interval = P + Z Score x √ (PQ/n)

Substitute the given values of the question into the formula:

P = 114/293 = 0.3891

Q = 1 - 0.3891 = 0.6109

n = 293

The upper limit for the 90% confidence interval is given by the Z-Table at 1.645:

Upper Limit of the Confidence Interval = 0.3891 + 1.645 x √ [(0.3891 x 0.6109)/293]

≈ 0.3891 + 1.645 x 0.0467

≈ 0.3891 + 0.07701

≈ 0.4661 = 46.3%

Therefore, the answer is 46.3%.

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