54. The cone in the diagram has radius x cm and height 2x cm. The volume of the cone is 500 cm³. Find the value of x.​

Answer:

) What is the value of x in the following simplification problem?

45% of 600 + x% of 480 = 390. A/ 30

B/ 20

C/ 25

D/ 40

40) The s

For the given function, the value of h(t)=\t+2\+3 is for f(6) = 7

A function is a means to explain what takes place with an input variable to produce an output result. We may find a set of output values if we consider a straightforward function, like multiply by three. Algebra can be used in place of Function = multiply by 3.

Before the t and after the 2, I'm going to presume that's an absolute value sign.

Absolute value brackets are treated similarly to parentheses, with the exception that the negative sign is removed once the contents have been thoroughly simplified. (If you still have variables, don't do that.)

In this instance, t equals 6 plus 2 equals 8. 8 has an absolute value of 8. Add 3 is 11.

so,

h(6) = 11.

2 + -6 equals -4. 4 is -4's absolute value. Add 3 is 7.

so,

h(-6) is 7.

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Properties of pure substances:

Properties of mixtures:

Pure substances:

Each homogenous mixture contains only pure substances. No matter how tiny the sample size, these chemicals primarily have a stable or comparable composition throughout. Water, steel, and iron are a few examples of pure materials.

Mixtures:

In chemistry, a mixture is a compound made up of two or more simpler substances. These substances may be chemical elements or compounds. You can create a mixture of gases, solids, or liquids. For instance, when sugar is added to water, it first forms a mixture before dissolving to produce a solution.

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Answer:

1/4

32%

0.4

Step-by-step:

1/4 = 0.25

32 = 0.33

0.4 = 0.40

Answer:

distance = 13

Step-by-step explanation:

The formula used to calculate the distance between two points given their coordinates is:

[tex]\boxed{\mathrm{distance = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}}}[/tex],

where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are the given coordinates.

In this question, we are given the coordinates (8, -4) and (3, 8).

Using these coordinates and the formula above, we can calculate the distance between the points:

[tex]\mathrm{distance = \sqrt{(3 - 8)^2 + (8- (-4))^2}}[/tex]

             [tex]= \sqrt{(-5)^2+(12)^2}[/tex]

             [tex]= \sqrt{25 + 144}[/tex]

             [tex]= \sqrt{169}[/tex]

             [tex]= \bf 13[/tex]

Therefore, the distance between the two points is 13 units.

Answer:

Step-by-step explanation:

An arithmetic sequence also known as arithmetic progression is a sequence of numbers in which the difference between consecutive terms are always the same  eg 1 5 9 13 17 , the difference is always 4

so THE ANSWER TO YOUR QUESTION IS B

Answer:

O If a ray bisects an angle, then it divides it into two congruent angles.

Step-by-step explanation:

Answer:

Is there more information

Step-by-step explanation:

I'll ll answer if there is

Answer:

Do the distributive property; your new equation will be 9x + 18 = 90

Step-by-step explanation:

The first step to the problem 9(x + 2) = 90 is the distribute property. Since we don't know what x is we can't add it to 2. Instead we do the distributive property, which is when you multiply the outside number to the terms inside the parenthesis.

The equation will then be: 9x + 18 = 90

! --- Note: I'm not too sure what you are trying to ask because your question is unclear but hope this helps in some way

----------------------------------------------------------------------------------------------------

! --- If you are also looking for what x is, x = 8

Answer:

Step-by-step explanation

x1 = X sub-one, y1 = Y sub-one, x2 = x sub-two, y2 = y sub-two

Midpoint Formula

M (x1 + x2/2, y1 + y2)/2)

-4 = x1, 5 = y1 and 5 = x2, -3 = y2

L(-4,5) and N (5,-3)

-4 + 5/2 = 1/2 or 0.5

5 + (-3)/2 = 2/2 = 1

Midpoint : (1/2, 1)

The probability of getting no 1 and no 6 is 0.01%

There are six possible outcomes in a role. Since no 1 and 6 are to be rolled. There would only be 4 possible outcomes.

So, the chance of rolling no 1 and 6 is  

Since we have 5 rolls. Then we have:  1/6×1/6×1/6×1/6×1/6 =  =0.00013

Therefore, the probability of rolling no 1 and 6 is approximately 0.01%.

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it's  that a proposition is true.

he probability of an occasion is a number between 0 and 1, where, roughly speaking, 0 indicates the impossibility of the event and 1 indicates certainty.[note 1]]  the upper the probability of an event, the more likely it's that the event will occur.  an easy example is the tossing of a fair (unbiased) coin. Since the coin is fair,  the 2  outcomes ("heads" and "tails") are both equally probable; the probability of "heads" equals the probability of "tails"; and since no other outcomes are possible, the probability of either "heads" or "tails" is 1/2 (which could even be written as 0.5 or 50%).

These concepts are given an axiomatic mathematical formalization in probability theory, which is employed widely in areas of study such as statistics, mathematics, science, finance, gambling,  AI, machine learning,  computing,  theory of games, and philosophy,  for instance, draw inferences about the expected frequency of events.  applied mathematics is also used to describe the underlying mechanics and regularities of complex systems.

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Answer:

О   [tex]\frac{5^{4} }{3^{10} }[/tex]

Step-by-step explanation:

(5⁻² * 3⁵) ⁻²

= 1 / (5⁻² * 3⁵)²

= 1 / ((5⁻²ˣ²)(3⁵ˣ²))

= 1 / ((5⁻⁴)(3¹⁰))

= 5⁴ / 3¹⁰

(a) The value of f(83) is 5.

(b) It may or may not happen.

(c) The value of f(95) is 9.

Here, the height of the bar gives the marks at that particular point.

From the observations we can see,

(a) The interval 80-85 marks is point at the mark of 5. It means that there are 5 students who has scored in the interval of 80-85.

So, as are function is the exam score to the height of the bar whose interval contains that score.

Hereby, our value of f(83) will be equal to 5.

f(83) = 5.

(b) As, the marks are distributed over an interval. It can't be said that if any students scored exactly 83 marks or not. But the conclusion that we can draw is, that these 5 particular students have scored between 80-85 for sure.  

(c) The value of f(95) is equal to 9. as we can see that the interval is distributed in such a way that a group of five students is formed. and the last part of the interval is not included in the next interval. The interval here forms a pattern like this,

91-95, after that 96-100.

So here the value of f(95) will be 9.

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The equation, in point-slope form, matches the graphed line shown is y + 2= 0.8(x - 2)

The points on the line are given as

(-3, -6) and (2, -2)

Calculate the slope (m) of the line using

m = (y2 - y1)/(x2 - x1)

So, we have

m = (-2 + 6)/(2 + 3)

Evaluate

m = 0.8

The linear equation is then represented as

y - y1 = m(x - x1)

So, we have

y + 2= 0.8(x - 2)

Hence, the equation, in point-slope form, matches the graphed line shown is y + 2= 0.8(x - 2)

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The value of B is -7 and no decimal number.

So, in the sequence:

We can easily say that the value of B will be -7 and no decimal number.

So,

Therefore, the value of B is -7, and no decimal number.

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An equation to show the additional number of cases of water Mr. Brown needs is y = 24x - 3, where y = 333 bottles and x = 14.

An equation is a mathematical statement that claims that two mathematical expressions are equal.

An equation contains the equation symbol (=).

The number of bottles in his office = 17 bottles

The total number of bottles required = 350 bottles

The total number of additional bottles of water required, y = 333

1 case of water bottles = 24 bottles

The equation to show the additional cases required is y = 24x - 3, where y = 333 bottles and x = 14.

Check:

y = 24x - 3

333 = 24(14) - 3

333 = 336 - 3

333 = 333

Thus, an equation to show the additional number of cases of water Mr. Brown needs is y = 24x - 3, where y = 333 bottles and x = 14.

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Answer:

Rent-A-Truck-> 59.95+0.49m=c

Sam's U-Drive-> 81+0.38m=c

The length and width of the screen is 9.71 inch and 12.71 inch.

A Rectangle is a four sided-polygon, having all the internal angles equal to 90 degrees. The two sides at each corner or vertex, meet at right angles.

Area of triangle = Length * Width

Let L be the length and W be the width of the rectangle.

Now it is given that,

Dimensions of a rectangular monitor screen are, its length is 3 in. more than its width.

⇒ L + 3 = W  

Therefore area is given as,

A = L * W

Put the value of W we get,

A = L * (L + 3)

Now, If the length were doubled and if the width were decreased by 1 in, the area would be increased by 104 in^2

Length = 2L

Width = W - 1

Thus area becomes,

A' = 2L(W - 1)

Now, the area would be increased by 104 in^2

A' = A + 104

Putting the value of A in A' we get,

A' = L * (L + 3) + 104

Now putting the value of A' we get,

2L(W - 1) = L * (L + 3) + 104

Expanding we get,

2LW - 2L = L^2 + 3L + 104

Since L + 3 = W  

Thus, putting W in above we get,

2L(L + 3) - 2L = L^2 + 3L + 104

Expanding the brackets we get,

2L^2 + 6L - 2L = L^2 + 3L + 104

Solving we get,

2L^2 + 4L = L^2 + 3L + 104

Taking all the terms together we get,

2L^2 + 4L - L^2 - 3L - 104 = 0

Solving alike terms we get,

L^2 + L - 104 = 0

Solving the above equation we get,

L = 9.71 inch, -10.71 inch

Since, Length cannot be negative

Thus,

L = 9.71 inch

Put the value of L in W we get,

9.71 + 3 = W  

⇒ W = 12.71 inch

Thus the required value of length and width is,

Length = 9.71 inch

Width = 12.71 inch

Thus, the length and width of the screen is 9.71 inch and 12.71 inch.

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Carl is outworked by Theresa in a given year.

What is work?

According to physics a push or pull in any substance which produces any displacement is called work. Activity in which one exerts strength or perform something or an activity that a person engages in regularly to earn a livelihood people looking for work.

Given:

Working day of Theresa/month=16

Working day of Carl/ month=20

Distance covered by Theresa in month= 56 miles round trip

Distance covered by Carl in month=56 miles round trip

Calculation

Distance covered by Theresa in month=56*2

Distance traveled by Theresa in a year=112*12

Distance traveled by Theresa in a year=1344 miles

Distance covered by Carl in month=112 miles

Distance traveled by carl in a year=112*11

Distance traveled by carl in a year=1232 miles

As the distance covered by Theresa is more than carl.

So Theresa travel more distance.

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Answer:

[tex] 5x + 3y = 15 [/tex]

Step-by-step explanation:

The x-intercept is 3, so the ordered pair of that point is (3, 0).

The y-intercept is 5, so the ordered pair of that point is (0, 5).

We need the equation of the line that passes through points (3, 0) and (0, 5). Also, from the y-intercept, we know that b = 5 in the slope-intercept form of the equation of a line,

y = mx + b

b = 5

We now have:

y = mx + 5

We can find the slope using the two given points.

[tex] m = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{5 - 0}{0 - 3} = -\dfrac{5}{3} [/tex]

[tex] y = -\dfrac{5}{3}x + 5 [/tex]

Now we change the equation into standard form,

ax + by = c

[tex] y = -\dfrac{5}{3}x + 5 [/tex]

Multiply both sides by 3.

[tex] 3y = -5x + 15 [/tex]

Rearrange terms.

[tex] 5x + 3y = 15 [/tex]

Answer:

angle 1 = 6°
angle 2 = 84°

Step-by-step explanation:

since these 2 angles form 90°, they're called complementary

so when they're added they give 90°

x-6°+7x=90°, then we collect the like terms

x+7x=90°+6°, 8x=96°, divide both sides by 8 so we can get x

x=96/8, x=12, so now we substitute 12 in x so we can get the angles

FOR ANGLE 1:

12-6=6°

FOR ANGLE 2:

7(12)=84°

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Answer:

Step-by-step explanation:

64 / 0.16 = 400 square cm

Answer:

In the expression

[tex] {x}^{2} - 11x + 10[/tex]

a in the formula will be substituted for 1

b in the formula will be substituted for -11

c in the formula will be substituted for 10

The measure of the angle is 72°, its supplement is 108° and its compliment is 18° .

A pair of supplementary angles is defined as two angles which add up to 180°. They are also called linear pair.

A pair of angles which add up to 90° is called complimentary angles.

let us consider the given angle be x .

Compliment of given angle=90°- x

Supplement of the given angle=180°-x

The supplement is 6 times the compliment .

Therefore we can construct a linear equation of the form:

6(90°- x)=180°-x

or, 540°-6x=180-x

or, -6x+x=180-540

or, -5x=-360

or, x=72

Hence the angle is 72°

Compliment of 72°=90°-72°=18°

Supplement of 72°=180°-72°=108°

Therefore the required angle is 72°, its supplement is 108° and its compliment is 18° .

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Based on the number, 98.48, the number you need to multiply by to get rid of the decimal is 100.

The number that you multiply a number with if you want to remove the decimal has to be a power of 10. The power of 10 used will depend on the number of figures after the decimal.

If there is a single number after the decimal point, then multiply by 10.

If there are two numbers after the decimal point, multiply by 100.

If there are three numbers after the decimal point, multiply by 1,000.

In the case of 98.48, there are two number after the decimal point so you'll multiply by 100 to get:

= 98.48 x 100

= 9,848

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Answer:

33000

Step-by-step explanation:

To estimate the product of two numbers, round the individual numbers to numbers that you can multiply mentally.

Round 298 to the nearest hundred → 300.

(We don't need to round 110 as it is a multiple of 10, and therefore easy to multiply mentally).

Therefore,

⇒ 110 × 298 ≈ 110 × 300

To multiply 110 by 300, separate the 110 into 100 + 10:

⇒ 110 × 300 = (100 + 10) × 300

Apply the distributive property of multiplication:

⇒ (100 + 10) × 300 = 100 × 300 + 10 × 300

To multiply a number by 100, add two zeros.

To multiply a number by 10, add one zero.

Therefore:

⇒ 100 × 300 + 10 × 300 = 30000 + 3000 = 33000

Check

110 × 298 = 32780

32780 rounded to the nearest thousand is 33000.

Step-by-step explanation:

the cost for n shirts is c=15+9(n-1)

c=15+9n-9 simplify

c=9n+6

n represents the number of shirts

so for the cost of 2 shirts, n=2

c=9(2)+6

c=24

therefore it costs $24 for 2 shirts

for the cost of 5 shirts, n=5

c=9(5)+6

c=51

therefore the cost of 5 shirts is $51

1 shirt = $15

2 shirts =$24

3 shirts =$33

24-15 =9

33-24=9

so 9 is the common difference which means each additional shirt is $9 more than the price of all the previous shirts