Which expressions are equivalent to the one below? Check all that apply.
25X
A. (5.5)*
B. 52x
C. 5.5x
D. 52.5x
E. 5.52x
F. 5.5X

Answer:

Number of carrot pieces in bowl = 20

Step-by-step explanation:

Given:

Total number of vegetable pieces = 80

Percent of carrot = 25%

Find:

Number of carrot pieces in bowl

Computation:

Number of carrot pieces in bowl = Total number of vegetable pieces x Percent of carrot

Number of carrot pieces in bowl = 80 x 25%

Number of carrot pieces in bowl = 80 x 0.25

Number of carrot pieces in bowl = 20

Answer:

20

Step-by-step explanation:

I took it on Edge

The degree of the polynomial is 5 and the leading coefficient is -1.

The given polynomial is f(x)

f(x) = \(-x^{5} +2x^{4} +3x^{3} +2x^{2} -8x +9\)

The degree of the polynomial is the term with the highest power,

So, in the given polynomial, the term with the highest term is \(-x^{5}\)

The highest power is 5,

So, its degree is 5.

The leading coefficient is the coefficient of the term with the degree,

So, the leading coefficient is -1.

Hence, the degree of the polynomial is 5 and the leading coefficient is -1.

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Answer:

21806 basketballs are needed to fill the gym

Step-by-step explanation:

We have to find both volumes in the same units, so I will use feet for the dimensions, the volume will be in cubic feet. Each feet has 12 inches.

Volume of the gym:

The volume of the gym(rectangular base with height) is given by the multiplication of its dimensions. So

\(V = 96*53*30 = 152640\) cubic inches

Volume of the basketball:

The basketball is an sphere, so its volume is

\(V = \frac{4\pi r^3}{3}\)

In which r is the radius, which is half the diameter.

28.5 inches in diameter, so 2.375 feet in diameter, radius of 1.1875 feet. The volume of the basketball is:

\(V = \frac{4\pi (1.1875)^3}{3} = 7\) cubic inches

How many basketballs are needed to fill the gym?

This is given dividing the volume of the gym by the volume of a basketball. So

152640/7 = 21805,7

Rouding up

21806 basketballs are needed to fill the gym

Answer:

Ф = 19.80 °

Step-by-step explanation:

by using pythagoras theorem

h² = p² + b²

13² = 5² + b ²

b = √194

b = 13.93

now

tanФ  = p/b

Ф = tan¬1( 5 / 13.93)

Ф = 19.80 °

Altitude is in a polygon, a perpendicular segment from a vertex to the opposite side or to the line containing the opposite side.

In geometry, the hypotenuse is the longest side of a right-angled triangle, opposite to the right angle. It is also the side that connects the two other sides, which are called the adjacent and opposite sides.

One of the key properties of the geometric mean is that it is always less than or equal to the arithmetic mean (the regular average) of the same set of numbers, except when all the numbers are equal.

The geometric mean is used in various fields such as finance, economics, biology, and physics. It is particularly useful in situations where values are subject to compounding or exponential growth, and where small changes in values can have a significant impact over time.

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Answer I think D, I would never choose b :

Step-by-step explanation:

You need to multiply them 3-4 and get 12 so that's part of your answer

then you make it 12:9.

The experimental probability that the next train to pull into Lakeside Station will be full is 7/10.

The experimental probability of the next train to pull into Lakeside Station being full can be calculated by dividing the number of times a full train occurred by the total number of trains observed.

Given that out of the last 20 trains, 14 were full, we can express the experimental probability as a fraction:

P(full) = Number of full trains / Total number of trains observed

P(full) = 14 / 20

Simplifying the fraction, we get:

P(full) = 7 / 10

Therefore, the experimental probability that the next train to pull into Lakeside Station will be full is 7/10.

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Answer: 6/(6+2x) ; (-infinity, -3) U (-3, infinity)

Step-by-step explanation:

(a) This can be read as f(x) composed of g(x). Plug in the expression given for g(x) for every x value in f(x):

(6/x)/(6/x+2)

I gave the terms in the denominator the same denominator to combine the bottom two terms into one term. 6/x + 2 is equal to 6/x + 2x/x -->

(6 +2x)/x

Do the classic keep, change, flip. \(\frac{6}{x} * \frac{x}{6+2x}\)

This simplifies to: \(\frac{6}{6+2x}\)

(b) Domain is all real numbers except for what makes the denominator equal to 0.     6 + 2x = 0 when x = -3. Therefore it is all real numbers except -3.

The midpoint formula is basically (averaging the x coordinates, averaging the y coordinates).

Point A: (3, 7)

Point B: (2, -1)

Midpoint x: (3 + 2) / 2 = 5 / 2

Mindpoint y: (7 - 1) / 2 = 3

Therefore, the midpoint of the segment is choice C (5/2, 3)

Answer:

Correct answer is Option C: \((\frac{5}{2} , 3 )\)

Step-by-step explanation:

Given points (3, 7) and (2, -1), we can use the following Midpoint Formula to find out what is the halfway mark of the given segment:

\(M = (\frac{x1 + x2}{2} , \frac{y1 + y2}{2} )\)

Let x1 = 3

x2 = 2

y1 = 7

y2 = -1

Plug in these values into the Midpoint formula:

\(M = (\frac{x1 + x2}{2} , \frac{y1 + y2}{2} )\)

\(M = (\frac{3 + 2}{2} , \frac{-1 + 7}{2} )\)

\(M = (\frac{5}{2} , \frac{6}{2} ) = (\frac{5}{2} , 3 )\)

Therefore, the midpoint of the given segment is \((\frac{5}{2} , 3 )\).

Answer: Changing the radius of an object by a given amount has a greater effect on the volume than changing the height by the same amount. The volume of a cylinder is given by the formula V = πr²h, where V is the volume, r is the radius, and h is the height. If we change the radius by a given amount, say x, the new radius would be r+x. Hence, the new volume would be V' = π(r+x)²h = π(r²+2rx+x²)h = V + 2πrxh + πx²h. We can see that the volume change equals 2πrxh + πx²h. The first term is proportional to both the radius and the height, whereas the second term is proportional to the square of the radius and the height. Assuming that the height change is also x, the new volume would be V'' = πr²(h+x) = V + πr²x. We can see that the volume change is proportional to the radius squared and the change in height. Therefore, changing the radius by a given amount has a greater effect on the volume than changing the height by the same amount.

Given,

base = 6 cm

height = 9 cm

To find the lateral area of the prism

The lateral area is,

The correct answer is option A

Answer:

there is a box in the middle and lines( which can be called whiskers) on the side

Step-by-step explanation:

lower quartile, upper quartile, and median make the box. Least and greates value make the whiskers

Wikipedia:

In addition to the box on a box plot, there can be lines (which are called whiskers) extending from the box indicating variability outside the upper and lower quartiles, thus, the plot is also termed as the box-and-whisker plot and the box-and-whisker diagram.

Answer:

Step-by-step explanation:

Box and whisker plots are called "box and whisker plots" because of the way that the lower quartile, mean, median, upper quartile, minimum, and the maximum all work together to come up with a box and whisker plot. Another reason is because when the number are on a number line and the box and whisker plot is on the top it looks rather similar to a cat with the minimum and the maximum on both ends with the median becoming the nose.

The speed of the car is 108 kilometers per hour and the distance covered in 5 hours is 540 kilometers.

Speed is simply referred to as distance traveled per unit time.

It is expressed as;

Speed = Distance ÷ time.

Given that the car is traveling at a rate of 30 meters per second.

First, convert the car's speed from meters per second to kilometers per hour using the conversion factor.

1 kilometer = 1000 meters

1 hour = 3600 seconds

Hence;

Speed = 30m/s = ( 30 × 3600/1000 )kmh

Speed = 108 kmh

Next, the distance covered in 5 hours will be:

Speed = Distance / time

Distance = speed × time

Distance = 108 kmh × 5 h

Distance = 540 km

Therefore, the disatnce covered is 540 kilometers.

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Answer:

wheres it at?

Step-by-step explanation:

#Everything4Zalo

Answer: well there are 2 zeros in the number on the left so thats why the decimal would be there

Step-by-step explanation:

Answer:

b.

Step-by-step explanation:

You can never divide by a decimal (have the decimal as the divisor)

The given statement about inequality is true.

The inequality expressions are the mathematical equations related by each other by using the signs of greater than or less than. All the variables and numbers can be used to make the equation of inequality.

The statement is true ''Pick a point on one side of the solid or dashed line and enter its coordinates into the original inequality to determine which side of a linear inequality to colour in for its graph. On that side of the plane, you should shade if the coordinates satisfy the inequality''.

The statement defines how to write an inequality the meaning of inequality is that one part of the inequality will be shaded by some colour indicating that the region is falling under the area of inequality.

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Answer:

the graph that represents a linear are right and a

Answer:

Below

Step-by-step explanation:

Line AB is of the form y = mx + b    where m is the slope = 2

 Line BC is perpendicular to this and will have slope - 1/m = - 1/2   and includes the point C (0,6)

 The point slope form of line BC will then be

     ( y-6) = - 1/2 ( x - 0)    which can be re-arranged to

       y = - 1/2x + 6     < ==== equation for line BC

Mathematical expressions allow us to relate numbers using mathematical symbols to make calculations. some examples are:

A mathematical expression is a sequence of characters that are intended to express a general relationship between the terms expressed in the formula.

Mathematical expressions generally have symbols like:

According to the above, some examples of mathematical expressions are:

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Answer:

√6/2+1

Step-by-step explanation:

multiplying by √6/√6, we get √6(3+√6)/6=(3√6+6)/6=√6/2+1

Direct distance from the base of the Space Needle to Kasie's house = 1429 feet.

The angle of depression is the angle between the horizontal line and the observation of the object from the horizontal line. It is basically used to get the distance of the two objects where the angles and an object's distance from the ground are known to us.

Given,

Height of the observation deck AB = 520 feet

Angle of depression = 70°

Distance of the Space needle base to house BC = ?

By the figure,

tan70° = AB/BC

BC = tan70°(AB)

BC = 2.7475(520)

BC = 1428.7 feet

Distance of the Space needle base to house to nearest foot = 1429 feet

Hence, 1429 feet is the distance between base of the Space Needle to Kasie's house.

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Answer:

151.5 cm = 1.515 m

151.5 cm = 1515/1000 m

Answer:

x=4 or x=−8

Step-by-step explanation:

Let's solve your equation step-by-step.

(x+2)2=36

Step 1: Simplify both sides of the equation.

x2+4x+4=36

Step 2: Subtract 36 from both sides.

x2+4x+4−36=36−36

x2+4x−32=0

Step 3: Factor left side of equation.

(x−4)(x+8)=0

Step 4: Set factors equal to 0.

x−4=0 or x+8=0

x=4 or x=−8

Answer:

B

Step-by-step explanation:

60+15w≥115

-60      -60

15w≥55

w≥4  

60+15(4)≥115

60+60≥115

9514 1404 393

Answer:

  A = 108.78°

  a = 11 mi

  b = 7 mi

Step-by-step explanation:

The sum of angles in a triangle is 180°, so the third angle is ...

  A = 180° -38.71° -32.51°

  A = 108.78°

__

The remaining sides can be found from the law of sines.

  a/sin(A) = c/sin(C)

  a = sin(A)·c/sin(C) ≈ 0.946762 × 11.163896

  a ≈ 11 mi

  b = sin(B)·11.163896 ≈ 0.625379 × 11.163896

  b ≈ 7 mi

Answer:

6

Step-by-step explanation:

You divide 30 by five and you get 6 and then you mutiply 6 by 2 and you get 12 kilograms.

So, Todd filled and emptied the wheel barrow 6 times.

Answer:

single payment variable annuity

Step-by-step explanation:

Given : ABC Insurance offers an annuity with 4.5% APR for the next 5 years. You decide to invest $1000 each year into this account.

To find : What type of annuity is this?

Solution :

Annuity is the form of insurance in which some of the money is paid each year to secure for future.

There are two types of annuity:

Single payment variable annuity - In this annuity the payment is made at the end of each period  over a fixed length of time. Also in this annuity payments are made monthly, quarterly, semi-annually or annually.

Annuity due - is the opposite of single payment variable annuity as in this the payment is made at the beginning of each period.

In the given situation the annuity is single payment variable annuity because the investment is done each year for 5 years.