Which math expression means "52 more than an unknown number"?
A. x + 52
B. X÷52
C. 52.x
D. x - 52
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The height of the tree after 6 years can be expressed as "3 feet + 6f feet."

The correct answer is A. 3f + 6 feet.

To determine the current height of the tree in terms of "f,"

let's analyze the given information.

We know that the tree was initially 3 feet tall when it was planted 6 years ago.

Since the tree grows every year, we can assume that its growth rate is consistent.

Let's denote the current height of the tree as "h" (in feet).

After 6 years, the tree has grown by a certain amount, which we'll represent as "6f" (6 years multiplied by the growth rate "f").

Therefore, the height of the tree after 6 years can be expressed as "3 feet + 6f feet."

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The approximate lateral area of the cone is equal to 200.96 cm².

Mathematically, the lateral area of a cone can be calculated by using this mathematical expression:

Lateral surface area of a cone, LSA = πrl or πr√(r^2 + h^2)

Where

Mathematically, the area of a circle can be calculated by using this formula:

Area of a circular base = πr²

16π = πr²

Radius, r = √16

Radius, r = 4 cm.

Substituting the given parameters into the lateral area of a cone formula, we have the following;

Lateral surface area of a cone, LSA = πrl = πr4(r)

Lateral surface area of a cone, LSA = 3.14 × 4 × 16

Lateral surface area of a cone, LSA = 200.96 cm².

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Answer:

201 beause you are rounding to the nearest whole number

Step-by-step explanation:

Answer:

Step-by-step explanation:

The average weight of a male Florida panther rounded to the nearest whole number is 53 kg

What is average?

The middle number, which is determined by dividing the sum of all the numbers by the total number of numbers, is the average value in mathematics. When determining the average for a set of data, we add up all the values and divide this sum by the total number of values.

Average weight = 52.6 kg

52.6

The number after decimal point is 6 which is more than 5.

So add  1 to the 52, we get 53

Thus, the average weight of a male Florida panther rounded to the nearest whole number is 53 kg

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The volume of the rectangular prism is 5 inches cube.

A rectangular prism is a three-dimensional shape or figure. Therefore, the volume of a rectangular prism can be represented as follows:

volume of a rectangular prism = lwh

where

Therefore,

l = 2 1 / 2 inches = 5  /2 inches

w = 1 inches

h = 2 inches

Hence,

volume of the rectangular prism = 5 / 2 × 1 × 2

volume of the rectangular prism = 10 / 2

volume of the rectangular prism = 5 inches cube

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Answer:It is 30 cubic inches.

Step-by-step explanation:

Given:

The given function is y

Find:

we have to find the equation of tangent line to the given curve at a = 2.

and then we have to draw the graph of the given curve and the tangent line.

Explanation:

(a) we know the derivative of any curve represents the slope of the tangent line to the curve,

Therefore, firstly we will find the derivative

Therefore, slope of the tangent line is m = -2.

Now, the equation of the tangent line to the given curve is

Now we have,

Therefore, the equation of tangent line is

y = -2(x-2) + (-5)

y = -2x+ 4 -5

y = -2x-1

(b) Now we will draw the graph of the given curve and tangent line to the given curve as follows

The graph of the curve is represented by blue colour and the graph of the tangent line is represented by green colour.

The space shuttle travels about 6713 miles per hour. Rounded to the nearest mile, this is approximately 6713 miles per hour.

What is a radius ?

In mathematics, the radius is a term used to describe the distance from the center of a circle or a sphere to any point on its surface. It is denoted by the letter "r".

The orbit of the space shuttle is circular, so the distance it travels in one orbit is equal to the circumference of the circle with a radius of 275 + 4000 = 4275 miles (275 miles above the Earth's 4000 mile radius).

The circumference of a circle is given by the formula C = 2πr, where r is the radius of the circle and π is the mathematical constant pi (approximately 3.14). Therefore, the distance traveled by the shuttle in one orbit is:

C = 2π(4275) ≈ 26851 miles

Since the shuttle orbits once every 4 hours, its average speed is:

distance/time = 26851/4 ≈ 6713 miles per hour

Therefore, the space shuttle travels about 6713 miles per hour. Rounded to the nearest mile, this is approximately 6713 miles per hour.

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Answer:

\(Jane = 15\frac{3}{10}\)

Step-by-step explanation:

Given

\(Kent = 12\frac{4}{5}\)

\(Lane = 1\frac{1}{6} + Kent\)

\(Jane = 1\frac{1}{3} + Lane\)

Required

Determine Jane's age

Substitute \(Kent = 12\frac{4}{5}\) in \(Lane = 1\frac{1}{6} + Kent\)

\(Lane = 1\frac{1}{6} + 12\frac{4}{5}\)

\(Lane = \frac{7}{6} + \frac{64}{5}\)

Take LCM

\(Lane = \frac{45+384}{30}\)

\(Lane = \frac{419}{30}\)

Substitute \(Lane = \frac{419}{30}\) in \(Jane = 1\frac{1}{3} + Lane\)

\(Jane = 1\frac{1}{3} + \frac{419}{30}\)

\(Jane = \frac{4}{3} + \frac{419}{30}\)

Take LCM

\(Jane = \frac{40+419}{30}\)

\(Jane = \frac{459}{30}\)

\(Jane = 15\frac{3}{10}\)

We can conclude that the ratio of juniors to adults is 9:5 respectively.

An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0.

A proportion is an equation that sets two ratios at the same value.

For instance, you may express the ratio as 1: 3 (there are 3 girls for every boy) if there is only 1 boy.

There are 1 in 4 boys and 3 in 4 girls.

So, we know that:

Juniors to children = 3:5

Children to adults = 3:1

Now, calculate the ratio of Junoirs to adults as follows:
J:C = 3:5
C:A = 3:1

Then,

J:C:A

3:5:5

3:3:1

Add, and we get:
9:15:5

The ratio of juniors to adults is 9:5.

Therefore, we can conclude that the ratio of juniors to adults is 9:5 respectively.

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Answer:

The relationship between the y coordinates in table a and b is that they are parallel to each other on the graph.

Step-by-step explanation:

I have no idea what they are asking for I'm sorry

Answer: angle 1 = 51, angle 2 = 18, angle 3 = 123, angle 4 = 39

Step-by-step explanation:

72+57=129 180-129= 51 degrees for 1

90-72= 18 degrees for 2

180-57= 123 degrees for 3

123+18=141 180-141= 39 degrees for angle 4

Answer:

the answer is d or b need help

Answer:D

Step-by-step explanation:

AP3X

By fraction method, 55/16 pounds of rice Belle purchased.

In math, what is a fraction?

Part of a whole is a fraction. In mathematics, the number is represented as a quotient, where the numerator and denominator are divided. Both are integers in a simple fraction.

                                 Whether it is in the numerator or denominator, a complex fraction contains a fraction. The numerator and denominator of a correct fraction are opposite each other.

  = 2 3/4 * 5/4

   = 5/4 * 2 + 5/4 *  3/4

   = 5/2 + 5/4 * 3/4

  = 5/2 + 15/ 4 * 4

  = 5/2 + 15/16

  common denominator and write the numerators above common denominator   =   5 *8/16 + 15/16

         = 40/16 + 15/16

         = 40 + 15/16

          = 55/16

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Answer :

a) It is given that

Everyday a machine makes 500000 staples and puts them into the boxes.

The machine need 170 staples to fill a box

One box contans = 170 staples.

Total number of staples = 500000

Number of box required to fill 500000 staples = Total number of staples/No. of staples 1 box contains.

\( \: :\implies \) 500000 /170

\( :\implies \: \) 2941 (approx)

Therefore, 2941 boxes are required to fill with 500000 staples.

b) It is given that,

Each staple is made of 0.21 g of metal .

Total weight of metal = 1 kg = 1000 g

1 staple = 0.21 g

Number of staples = weight of metal/ Weight of 1 staple.

\( \: :\implies \) 1000/0.21

\( \: :\implies \) 4761 (approximately)

Therefore, 4761 staples can be made from 1 kg of the metal.

Answer:

√337 or about 18.36

Step-by-step explanation:

distance formula √((y2-y1)^2+(x2-x1)^2)

√(((8-(-8))^2+(-2-7)^2)

√(16^2+9^2)

√(256+81)

√337

The probability that the marble selected will not be a striped marble is 5/13.

We have a bag. The bag contains an assortment of three types of marbles. There are three swirled marbles. The number of striped marbles is eight. The number of spotted marbles is two. A marble will be randomly selected from the bag. We need to find the probability that the marble selected will not be a striped marble. Let the probability of a striped marble be represented by P.

P = 8/(3 + 8 + 2) = 8/13

The probability that the marble selected will not be a striped marble is 1 - P = 1 - (8/13) = 5/13.

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Answer:

answer: negative five eighths

The solution to the expression one half cubed − 6 ÷ square root of 64 is A. negative five-eighths.

Given a fractional expression:

One half cubed − 6 ÷ square root of 64

It is required to find the value of the expression.

This can be numerically written as:

\((\frac{1}{2} )^3-6\div\sqrt{64}\)

It is known that:

\(\sqrt{64}=8\)

So, the expression can be written as:

\((\frac{1}{2} )^3-6\div8\)

Now, \((\frac{1}{2} )^3=\frac{1}{2^3}\)

                \(=\frac{1}{8}\)

So, the expression becomes:

\((\frac{1}{8} )-6\div8\)

Using the BODMAS rule, division has to be done first before subtraction.

So, the expression becomes:

\((\frac{1}{8} )-\frac{6}{8}=-\frac{5}{8}\)

Hence, the correct option is A. negative five-eighths.

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The Area of Square is 81 cm².

let the side of the square which is length for both rectangles be a.

let the width of rectangle be x and y.

So, x+ y= a

sum of perimeters= 54

2 (a +x ) + 2 (a+ y) = 54

2a+ 2x + 2a+ 2y = 54

2a + 2a + 2(x+ y) = 54

4a + 2 (a) = 54

4a + 2a = 54

6a = 54

a= 54/6

a= 9

So, area of square

= 9 x 9

= 81 cm²

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Answer:618.014

Step-by-step explanation: It may look like hundredths which is where must people mess up but it is instead thousandths.

Answer:

\(P(X>1600)=P(\frac{X-\mu}{\sigma}>\frac{1600-\mu}{\sigma})=P(Z>\frac{1600-1518}{325})=P(z>0.252)\)

And we can find this probability using the z score formula and the complement rule and we got:

\(P(z>0.252)=1-P(z<0.252) =1-0.599= 0.401 \)

\( z =\frac{1600-1518}{\frac{325}{\sqrt{81}}}= 2.27\)

And we can find this probability using the z score formula and the complement rule and we got:

\(P(z>2.27)=1-P(z<2.27) =1-0.988=0.012\)

Step-by-step explanation:

Let X the random variable that represent the SAT scores of a population, and for this case we know the distribution for X is given by:

\(X \sim N(1518,325)\)  

Where \(\mu=1518\) and \(\sigma=325\)

We want to find this probability:

\(P(X>1600)\)

And we can use the z score formula given by:

\(z=\frac{x-\mu}{\sigma}\)

Using this formula we got:

\(P(X>1600)=P(\frac{X-\mu}{\sigma}>\frac{1600-\mu}{\sigma})=P(Z>\frac{1600-1518}{325})=P(z>0.252)\)

And we can find this probability using the z score formula and the complement rule and we got:

\(P(z>0.252)=1-P(z<0.252) =1-0.599= 0.401 \)

For the other part we need to take in count that the distribution for the sampel mean if the sample size is large (n>30) is given by:

\(\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})\)

And we can use the z score formula given by:

\(z=\frac{x-\mu}{\frac{sigma}{\sqrt{n}}}\)

And replacing we got:

\( z =\frac{1600-1518}{\frac{325}{\sqrt{81}}}= 2.27\)

And we can find this probability using the z score formula and the complement rule and we got:

\(P(z>2.27)=1-P(z<2.27) =1-0.988=0.012\)

Answer:

a. 42

b. 122

a. 57

b. 130

Step-by-step explanation:

For problem A:

because both of these values have positive numbers, just use normal subtraction

82 - 40 = 42 degrees warmer

For problem B:

because we are subtracting a negative number from a positive number, we add both of these numbers because 82 - -40 can also be equal to 82 + 40

82 - -40 = 122

For problem A:

the sentences 30m up a cliff and 87m up a cliff are describing positive values.

87 - 30 = 57

For problem B:

Now in this problem, the sentence 100m above the surface is describing a positive value, but the sentence 30m below the surface describes a negative value

how do I know this?

if the sentences above the surface and below the surface are describing positive and negative values, then there has to be a neutral value ( which is 0)

0 meters = the surface, because they are using both positive and negative values, meaning that the surface is the neutral value

by using a number line, you can draw it out like this

below the surface-------------------------the surface----------------------------above the surface

-30--------------------------------------------0--------------------------------------------100

therefore, 100 - - 30 = 100 + 30 = 130

Answer:

See below

Step-by-step explanation:

For the second step, \(\angle T\cong\angle R\) by Alternate Interior Angles. The rest of the steps appear to be correct.

Answer:

she should use 2 cups of peanut butter

Step-by-step explanation:

to know the answer to that

use this equation (pb is peanut butter &o is oil)

1cup of pb=1/2 cup of o

?=1 cup of o

1×1÷1/2= 1×1×2/1=2co cups of pb

The angle on the unit circle is solved to be

56.01 degrees (to the nearest tenth)

To find the angle of the terminal side through the given point on the unit circle, we can use the inverse trigonometric functions.

given that P = ((√5)/4, (√11)/4)

θ = arctan ((√11)/4 / (√5)/4)

θ = arctan((√11)/(√5))

θ ≈ 56.01 degrees

hence to the nearest tenth of a degree, the angle of the terminal side through the point P = ((√5)/4, (√11)/4) on the unit circle is approximately 56.01 degrees.

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9514 1404 393

Answer:

  x = 7

Step-by-step explanation:

You solve a linear equation by putting the variable on one side of the equal sign and a constant on the other side. Here, variables and constants are on both sides of the equal sign, so you need to separate them.

The basic idea is that you add the opposite of any term you don't want. Whenever you perform any operation (like "add"), you must do it to both sides of the equation.

We observe that x-terms have coefficients of 10 and 9. We choose to add the opposite of 9x to both sides:

  10 -9x -5 = 9x -9x +2

  x -5 = 2 . . . . simplify

Now, we still have -5 on the left, where we don't want it. So, we add its opposite (+5) to both sides:

  x -5 +5 = 2 +5

  x = 7 . . . . simplify

The solution is x = 7.

_____

Additional comment

If we were to end up with an x-coefficient other than 1, we would divide both sides of the equation by that coefficient. This will leave the x-term with a coefficient of 1.

Answer:

right prism

Step-by-step explanation:

If the faces are rectangles, then this prism is called a "right prism"