What's the greatest ten you can multiply by 8 to get close to, but not go over 629

The surface area of the gas tank is approximately 14535.56 square cm (rounded to 1 decimal place).

Given that the surface area of a sphere = 4πr², where r is the radius.

Now, the gas tank below is in the shape of a cylinder with an identical hemisphere on each end.

We need to find the surface area of the gas tank.Observe that a hemisphere is exactly half of a sphere, and the total surface area of a sphere is 4πr².

Therefore, the surface area of the hemisphere is 2πr².

As there are two hemispheres, their combined surface area would be 2 × 2πr² = 4πr².

The cylindrical part of the tank has a surface area of 2πrh and there are two cylinders in the tank.

Hence, the total surface area of the cylinder is 2 × 2πrh = 4πrh.

Thus, the total surface area of the gas tank is given by:

Surface area of the gas tank = surface area of cylinder + surface area of two hemispheres

= 4πrh + 4πr²

Now, as r = 17 cm and h = 51 cm,

We have:

Surface area of the gas tank= 4πrh + 4πr²

= 4π × 17 × 51 + 4π × 17²

= 3468π + 1156π

= 4624π square cm

≈ 14535.56 square cm (rounded to 1 decimal place)

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Answer: 3/2

Step-by-step explanation:

The scale factor is the same as the ratio of the length of a side of the image to the length of the corresponding side in the preimage.

We know that Y'X'=3 and YX=2, so the scale factor is 3/2.

Answer:

1.96

2.48

3.96

4.15

5.7.5

6. 15

Step-by-step explanation:

1. Line segment EQ bisects chord HI. This also means that it bisects Arc HI so that

Using that Arc HI= HQ times 2. HQ equal 48 so

\(48 \times 2 = 96\)

HI=96.

2. Since Arc HQ equal QI, QI measure is 48.

3. Since Both chrods are equidistant from the center of the circle, they are equal in length. Arc HI measures 96. Using the transitive property, Arc JK also measures 96.

JK=96

4. JR measures 7.5 so that means JK also measures 7.5. JK measure is 15. HI=JK so HI=15.

5.PI is half of HI so it measures 7.5

6. JK measures 15.

Answer:

2 would technically be larger, but if you were to round 1.999 to the nearest tenth, you would get 2.

Step-by-step explanation:

How do you round a decimal?

Have a great day! :D

Answer:

its actually a trick question because they are both equal

Step-by-step explanation:

Answer:

780

Step-by-step explanation:

To find out what number 117 is 15% of, you can use the following formula

(15/100) x n = 117

where n is the number you're trying to find.

To solve for n, you need to isolate it on one side of the equation. You can do this by dividing both sides by (15/100):

n = 117 / (15/100)

n = (117 x 100) / 15

n = 11700 / 15

n = 780

Therefore, 117 is 15% of 780.

The number of ways to distribute these 15 objects into 5 distinguishable boxes so that the boxes have one, two, three, four and five objects respectively is 37,837,800.

Take into account that there are 5 distinct boxes and 15 distinct objects.

The goal is to figure out how many different methods there are to divide up these 15 objects into 5 distinct boxes, with each box containing one, two, three, four, and five objects, respectively.

n = 15, k = 5, n₁ = 1, n₂ = 2, n₃ = 3, n₄ = 4, n₅ = 5

Distributing n distinguishable objects into k distinguishable boxes such that \(n_{i}\) objects are place in box i(i = 1, 2, 3, 4, 5) can be done in ​

Putting n differentiable items into k differentiable boxes so that \(n_{i}\) placing things in box i(i = 1, 2, 3, 4, 5) is possible in \(\frac{n!}{n_{1}!n_{2}!.....n_{k}!}\) ways.

\(\frac{n!}{n_{1}!n_{2}!.....n_{k}!}=\frac{15!}{1!2!3!4!5!}\)

\(\frac{n!}{n_{1}!n_{2}!.....n_{k}!}\) = 37,837,800

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Answer:

x = 89. 98⁰

Step-by-step explanation:

tan(x) = 29/ 14

x = tan-¹ (29/14)

x = 89. 98⁰

The correct statement explain for the given ratio of boys to girls of 3:4 is - this fraction of girls in the class is found to be 4/7.

Irrespective whatever how a ratio is expressed, it is crucial to reduce it to the fewest whole numbers, just like with any fraction. To accomplish this, divide the integers by their largest common factor after discovering it.

Ratios can also be expressed as a fraction because they are straightforward division problems. Some folks prefer to use merely words to express ratios.

Class contains a ratio of boys to girls of 3: 4.

So, Boys / Girl = 3 / 4

Total students = boys  + girls.

Total students = 3 + 4 = 7

So,

Girl / Total = 4/7

Thus, the correct statement explain for the given ratio of boys to girls of 3:4 is - this fraction of girls in the class is found to be 4/7.

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The complete question is-

A class has a ratio of boys to girls 3:4.

Select correct option:

a) The fraction of boys in the class is 3/4

b) The fraction of girls in the class is 4/7

c) The number of boys in the class is 6

d) The number of pupils in the class is 12

Answer: 23 Yes

24. NO

25. Yes

26 yes

Step-by-step explanation:

Answer:

dk dc

Step-by-step explanation:

The required rate of change in temperature drop by 29 degrees over 8 hours is 3.625 degrees per hour.

Given that,
The temperature drops 29 degrees over 8 hours.
Rate of temperature drop per hour to be determined.

The rate of change is defined as the change in value with the rest per unit time called the rate of change.

Here,
The temperature drops 29 degrees over 8 hours.

Rate of temperature drop per hour,
Rate of change = Total temperature drop/time
Rate of change = 29 / 8
                     = 3.625 degrees per hour.

Thus, the required rate of change in temperature drop by 29 degrees over 8 hours is 3.625 degrees per hour.

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The cost of a whisky is GHC 0.85.

A linear equation is defined as an equation in which the highest power of the variable is always one.

Let x be the cost of brandy and y be the cost of a whisky.

As per the question, we have:

x = y + 0.10 (Brandy is 10p more expensive than whisky)

3x + 5y = 7.10 (A round of three Brandies and 5 whiskies cost GHC 7.10)

Substituting the value of x from the first equation into the second equation, we get:

3(y + 0.10) + 5y = 7.10

Expanding and simplifying, we get:

3y + 0.30 + 5y = 7.10

8y + 0.30 = 7.10

8y = 6.80

y = 0.85

Therefore, the cost of a whisky is GHC 0.85.

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Due to its subject-specific classification, ink color in pens is a qualitative variable.

Consequently, option (C) is the appropriate choice.

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The solution for question a is 0.7636. The solution for question b is 12.09 hours. The solution for question c is 0.9842. We can show the working in the following manner.

(a) To find the probability that a household views television between 5 and 11 hours a day, we need to find the area under the normal distribution curve between those two values.

We can do this by standardizing the values using the formula z = (x - μ) / σ, where x is the value we're interested in, μ is the mean, and σ is the standard deviation. Then we can use a standard normal distribution table or calculator to find the area.

For 5 hours of viewing: z = (5 - 8.35) / 2.5 = -1.34

For 11 hours of viewing: z = (11 - 8.35) / 2.5 = 1.06

Using a standard normal distribution table, we find that the area to the left of -1.34 is 0.0918, and the area to the left of 1.06 is 0.8554. So the area between -1.34 and 1.06 is:

0.8554 - 0.0918 = 0.7636

Therefore, the probability that a household views television between 5 and 11 hours a day is 0.7636.

(b) To find the number of hours of television viewing that a household must have in order to be in the top 3% of all television viewing households, we need to find the z-score that corresponds to the top 3% of the distribution. We can then use the formula z = (x - μ) / σ to solve for x.

Using a standard normal distribution table, we find that the z-score that corresponds to the top 3% of the distribution is approximately 1.88. Therefore:

1.88 = (x - 8.35) / 2.5

Solving for x, we get:

x = 1.88 * 2.5 + 8.35 = 12.09

Therefore, a household must view at least 12.09 hours of television per day to be in the top 3% of all television viewing households.

(c) To find the probability that a household views television more than 3 hours a day, we need to find the area under the normal distribution curve to the right of 3. We can use the same formula as in part (a) to standardize the value and then use a standard normal distribution table or calculator to find the area.

For 3 hours of viewing: z = (3 - 8.35) / 2.5 = -2.14

Using a standard normal distribution table, we find that the area to the left of -2.14 is 0.0158. So the area to the right of 3 is:

1 - 0.0158 = 0.9842

Therefore, the probability that a household views television more than 3 hours a day is 0.9842.

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Step-by-step explanation:

Sequence Next Terms: 2

Priya Ravindran

Find the next two terms in this

sequence.

1, 2, 6, 24, 120, [?],

The given sequence is 1, 2, 6, 24, 120, [...].

To find the next two terms in the sequence, we need to determine the pattern followed by the sequence.

Looking at the given sequence, we can observe that each term is obtained by multiplying the previous term by the next integer. Specifically,

1 x 2 = 2

2 x 3 = 6

6 x 4 = 24

24 x 5 = 120

Therefore, the next two terms in the sequence would be obtained by multiplying the last term by the next two integers:

120 x 6 = 720

720 x 7 = 5040

Hence, the next two terms in the sequence are 720 and 5040.

Therefore, the complete sequence is 1, 2, 6, 24, 120, 720, 5040.

You should invest approximately $8,255.12 today into the account to have $11,000 in 4 years when earning an annual interest rate of 7% compounded monthly.

To determine the amount to invest today, we can use the formula for compound interest:

\(A = P(1 + r/n)^(nt)\)

Where:

A = Final amount ($11,000 in this case)

P = Principal amount (the amount to be invested)

r = Annual interest rate (7% in this case)

n = Number of times interest is compounded per year (12, since it is compounded monthly)

t = Number of years (4 years in this case)

Rearranging the formula to solve for P:

P = A / (1 + r/n)^(nt)

Plugging in the given values:

P = 11000 / (1 + 0.07/12)^(12*4)

Calculating the expression inside the parentheses first:

(1 + 0.07/12)^(12*4) ≈ 1.310796

Substituting the value back into the equation:

P ≈ 11000 / 1.310796

P ≈ 8,255.12

Therefore, you should invest approximately $8,255.12 today into the account to have $11,000 in 4 years when earning an annual interest rate of 7% compounded monthly.

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1)correct option is b) true

2)Which of the following expressions always evaluates to true?

 correct option is d)(x > 0) && (x == 0)

given that

An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles. Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Many authors make a distinction between an expression and a formula, with the former designating a mathematical object and the latter a claim about such objects.

x = 5 and y = 7

Choose the value of the following expression: (x != 7) && (x <= y)

a. false

b. true

c. 0

d. null

(5! = 7) && (5<=7)

5 ≠ 7

correct option is b) true

Suppose that x is an int variable.

Which of the following expressions always evaluates to true?

a. (x > 0) || ( x <= 0)

b. (x > 0) && ( x <= 0)

c. (x >= 0) 11 (x == 0)

d. (x > 0) && (x == 0)

a) x = 1,2,3.... || x =0,-1,-2,-3......

b)x = 1,2,3.... && x = 0,-1,-2,-3,.....

c) x = 0,1,2,3..... 11 x = 0

d) x = 1,2,3.... && x = 0

correct option is d)(x > 0) && (x == 0)

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Answer:

-46/45

Step-by-step explanation:

-2/9 + (-4/5)

can be re-written as

-2/9 - 4/5

which equals -46/45

if they want you to answer in decimal form, it will be -1.02

The length of the QR is 16 cm when PQR ~MNO

In the given question, it is given that two similar triangles as PQR ~MNO

Then, the corresponding sides will be in equal proportion to each other as follows

PQ / MN = PR / MO = QR / NO

We need to find the length of the side QR

As above relations are given,

\(\frac{PQ}{MN}\) = \(\frac{PR}{MO}\) = \(\frac{QR}{NO}\)

\(\frac{30}{10}\) = \(\frac{5x + 7}{x+5}\) = \(\frac{4x}{\frac{16}{3} }\)

Equating all the fractions, equal to each we'll find

\(\frac{5x + 7}{x+5}\) = \(\frac{30}{10}\)

5x + 7 = 3(x +5)

5x + 7 = 3x + 15

2x = 8

x = 4

We know that, the length of the QR = 4x cm = 4 x 4 cm = 16 cm

Therefore, the length of the QR is 16 cm when PQR ~MNO

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Answer:2x+ 24

Step-by-step explanation:

6x-4x=2x+ 24

Answer:

✨hello mark as branlist pls x=3

Step-by-step explanation:

6x+24−4x=30

6x+24−4x=30

6x+24+−4x=30

(6x+−4x)+(24)=30

2x+24=30

2x+24=30

2x+24−24=30−242x=6

2x

2

=

6

2

x=3

Answer:

82.96 people/km^2

Step-by-step explanation:

people / square km

3.70 x 10^9        

----------------- =    

4.46 x 10^7      

3.70 x 10^2

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

 4.46

0.8295... x 100 = 82.959641 or rounded 82.96

The expression that shows the money that Liam has left is 250 - p/24.

An expression is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

Amount with Liam = $250

Cost of gift bought = p

Number of friends = 24

The money that he has left will be:

= Initial amount - Amount paid for gift

= 250 - (p/24)

This illustrates the expression.

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Answer:

b

Step-by-step explanation:

Answer:

B. 0.06, 0.05, 0.4

Step-by-step explanation:

Use a decimal chart it can be very helpful

Answer:

224

Step-by-step explanation:

350-36%=224. easy as that.

The values of b that makes the lines parallel are given as follows:

b = ± 3/2.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

When two lines are parallel, they have the same slope.

Given two points, the slope is given as the change in y divided by the change in x.

This means that the slopes for each line are given as follows:

As they are parallel, the value of b is obtained as follows:

4b/3 = 3/b.

4b² = 9

b² = 9/4

\(b = \pm \sqrt{\frac{9}{4}}\)

b = ± 3/2.

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Answer:

The answer would be $91.

Step-by-step explanation:

20% off of 120 is 96 and 96 - 5 is 91.

Answer:

$91

Step-by-step explanation:

To find 20% off of  $120 set it up as a fraction.

We are trying to find x.

x/120 = 20/100

Now you are going to cross multiply to get the unchanged/non-simplified version of you soon to be answer.

2400/100x

Simplify that to find how much you need to subtract from $120 when the discount is added.  2400/100 = 24. 120-24 = 96. Then subtract 5 from 96 and that will give you your final answer.

Planets around other stars can be detected by carefully measuring the "brightness" or "light intensity" of stars.

When a planet orbits a star, it causes a slight change in the brightness or light intensity of the star. This is known as the transit method of planet detection. As the planet passes in front of the star from our line of sight, it blocks a small portion of the star's light, causing a temporary decrease in its brightness. By carefully measuring these changes in brightness over time, scientists can infer the presence and characteristics of planets orbiting the star. This method has been instrumental in the discovery of numerous exoplanets in recent years.

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the unit rate of the crackers will be $0.233.

What is Rate?

A rate in arithmetic is a ratio that contrasts two separate values with various unit systems. For instance, if John types 50 words per minute, that means he types 50 words per minute. We are dealing with a rate because the word "per" is there. The symbol "/" can be used in place of the word "per" in issues.

When two or more similar amounts or numbers are being compared using the same units, a ratio is utilized. When referring to the ratio of one quantity "to" the second quantity in spoken language, it is frequently written with a colon.

A certain brand of crackers costs $2. 89 for 12. 4 ounces.

So per 1 ounce it will cost = 2.89/12.4 = 0.233

Hence the unit rate of the crackers will be $0.233.

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Triangle ABC is similar to triangle A prime B prime C prime, because Triangle A prime B prime C prime is obtained by dilating Triangle ABC. By a scale factor of 1 over 4 and then rotating it about the origin by 180 degrees. The correct answer is B.

Dilation is a transformation that is used while resizing an object. The structures can be made longer or shorter via dilation. This transformation produces a picture that retains the original shape. There is, however, a significant fluctuation in the form. During a dilatation, the starting shape should be elongated or compressed.

All the coordinates of A'B'C' are -1/4 times those of ABC.

The dilation factor is 1/4, and rotation by 180° is indicated.

A'(-1, -1) = (-1/4) × A(4, -4)

            = A(4x-1/4, -4x-1/4)

            =  (-1, -1)

B'(-3, 1) = (-1/4) × B(12, -4)

            = B(12x-1/4, -4x-1/4)

            = (-3, 1)

C'(-2, 3) = (-1/4) × C(8, -12)

             =  C(8x-1/4, -12x-1/4)

             =  (-2, 3)

Both coordinates are invalidated by a 180° rotation. In either sequence, it is the same as reflection across the x-axis and reflection across the y-axis.

Therefore, triangle A′B′C′ is obtained by dilating Triangle ABC by a scale factor of 1 over 4 and then rotating it about the origin by 180°.

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The complete question is:

Triangle ABC is transformed to obtain triangle A′B′C′:

A coordinate grid is labeled from negative 12 to 0 to 12 on both x- and y-axes at increments of 1. Triangle ABC has A at ordered pair 4, negative 4, B at 12,negative 4, C at 8, negative 12. Triangle A prime B prime C prime has A prime at ordered pair negative1, 1, B prime at negative 3, 1 C prime at negative 2, 3.

Which statement is correct for Triangle ABC. and Triangle A prime B prime C prime.?

Triangle ABC is similar to triangle A prime B prime C prime., because Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 6. and then rotating it about the origin by 90 degrees

Triangle ABC is similar to triangle A prime B prime C prime., because Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 4. and then rotating it about the origin by 180 degrees

Triangle ABC is similar to triangle A prime B prime C prime., because Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 3. and then rotating it about the origin by 180 degrees

Triangle ABC is similar to triangle A prime B prime C prime., because Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 3. and then rotating it about the origin by 90 degrees

Answer:

We need help with the same thing girl/boy!!

Step-by-step explanation:

Answer:

10,13,12

Step-by-step explanation: