A cylinder has a diameter of 10 inches and a height four times its radius. What is its volume?

Answer:

geraldo has 9 marbles and yan has 12

Step-by-step explanation:

x + (x-3) = 21

x + x - 3 = 21

2 x - 3 = 21

Explanation:

In this problem, let us first analyze the situation. It says here that Geraldo and Yan both had marbles of their own. The problem states that together, they have a total of 21 marbles. However, we know here from the problem that they have different number of marbles each. Geraldo seems to have lesser number of marbles than Yan. Yan have three marbles more than Geraldo.

We can write the equation starting from assigning the unknown.

We'll use x.

x is the number of marbles that Yan have.

if x is Yan's, then, we can say that x-3 is Geraldo's.

Put them together into the equation.

Yan's plus Geraldo's is equal to 21.

Substitute using the represented unknowns.

x + (x-3) = 21.

In solving, we can also rule out that:

x + x - 3 = 21

2 x - 3 = 21

2 x = 21 + 3

2 x = 24

x = 12

x - 3 = 9

Yan has 12 marbles

and Geraldo has 9 marbles.

Answer: C

Step-by-step explanation:

Answer:

The line y=-1 is a horizontal line and thus is a line that is parallel to the x-axis. If we reflect about a line that is parallel to the x-axis, then the x-coordinate of the point (that is reflected) will remain the same, thus the image of (2,-4) has x-coordinate 2 and thus the point is of the form (2,b).

Step-by-step explanation:

can i get Brainliest qwq

Answer:

65

Step-by-step explanation:

x=52+y

x=5y

y=x/5

x=52+(x/5)

x-(x/5)=52

(5x-x)/5=52

4x=52×5

4x=260

x=260/4

x=65

Bunga is 65 yrs old

Metali is 13 yrs old

The corresponding answers to each expression are;

1. 5x x (3+5) / 12 - 2 x 2 = 5

2. (11 + 3²) ÷ 4 - 2 = 3

3. (48 - 12 ÷ 2 / 7 - 1) + 1 =  8

4. (25 - (4 - 1)² / 2³ - 4) + 2 = 6

5. (3² - 4) x (7 + 5) / -12 ÷ -3 = 15

1. 5 x (3+5) / 12 - 2 x 2 =

5 x 8/ 12 - 4=

40/8 = 5

2. (11 + 3²) ÷ 4 - 2 =

11 + 9  ÷  4 - 2=

20  ÷  4 - 2

5 - 2 = 3

3. (48 - 12 ÷ 2 / 7 - 1) + 1 =

(48 - 6/ 6) + 1 =

42/6) + 1 =

7 + 1 = 8

4. (25 - (4 - 1)² / 2³ - 4) + 2 =

25 - 9/ 4) + 2 =

16/4 + 2 =

4 + 2 = 6

5. (3² - 4) x (7 + 5) / -12 ÷ -3 =

9-4 x 12/ 4 =

5 x 12/ 4=

60/4 = 15

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=7×9

=36 square feetffgxdx

According to the solving the area of the sidewalk is 138.16 square meters.

Size of a location on a surface is expressed in terms of area. As opposed to surface area, which refers to the area of an open surface or the border of a three-dimensional object, plane region or plane size refers to the area of a shape or planar lamina.

The width of the circular sidewalk is 2 m, which means that the radius of the entire area, including the flower bed and the sidewalk, is 10 m + 2 m = 12 m.

To find the area of the sidewalk, we need to subtract the area of the flower bed from the area of the larger circle.

Area of larger circle = πr²

= 3.14 x 12²

= 452.16 square meters (rounded to two decimal places)

Area of flower bed = πr²

= 3.14 x 10²

= 314 square meters

Area of the sidewalk = Area of larger circle - Area of flower bed

= 452.16 - 314

= 138.16 square meters (rounded to two decimal places)

Therefore, the area of the sidewalk is 138.16 square meters.

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Note that the parameters of the graph a and graph b are given below.

Graph A - y=2(x-1)²

See graph attached.

Graph B - y = 1/2x² + 3

Vertex: The vertex of the function is (0, 3).

Axis of symmetry: The axis of symmetry is the vertical line passing through the vertex, which is x = 0.

Y-intercept: The y-intercept is the point where the graph intersects the y-axis. It is (0, 3).

Minimum or maximum: The coefficient of x² is positive, which means the parabola opens upwards, and therefore the function has a minimum value. The minimum value is 3.

Solutions: To find the solutions or roots of the quadratic equation, we need to set y or f(x) equal to zero and solve for x.

0 = 1/2 x² + 3

Subtracting 3 from both sides, we get:

-3 = 1/2 x²

Multiplying both sides by -2, we get:

6 = -x²

Taking the square root of both sides, we get:

x = ±√(-6)

Since the square root of a negative number is not a real number, the function has no real roots.

Minimum or maximum value: The minimum value of the function is 3.

Range: The range of the function is y ≥ 3, because the function has a minimum value of 3.

Domain: The domain of the function is all real numbers, because there are no restrictions on the values of x for which the function is defined.

Stretch/Shrink/Standard: The coefficient of x^2 is positive and less than 1, which means that the graph of the function is narrower than the graph of y = x². This is an example of a standard quadratic function that has been vertically compressed by a factor of 1/2.

See graph attached.


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On solving the equation z-a = z/b if b≠1   , for z we get z=ab/(b-1)    .

in the question ,

the equation is given as

z-a = z/b

adding "a" to both the sides

we get

z-a+a = z/b + a

z = z/b + a

subtracting z/b from both the sides , we get

z - z/b \(=\) z/b - z/b + a

z - z/b = a

taking z common

z(1-1/b) = a

taking LCM as b and solving further , we get

z (b-1)/b = a

on cross multiplication we get

z = ab/(b-1)

Therefore , on solving the equation z-a = z/b if b≠1   , for z we get z = ab/(b-1)  .

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The density in trees per acre upon completion will be 500 trees per acre.

In this scenario, let's say the landscaping provider donates 2750 seedlings.

Density of trees per acre = Total number of trees / Total area of land

Hence, applying the formula leads us to:

Density of trees per acre = 2750 trees / 5.5 acres

The answer comes out to be roughly around 500 trees/acre. So when completed, approximately 500 trees are estimated to be present in each acre of the landscape.

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If the radius of Jasmine's swimming pool is 4.2 meter, then it's circumference is 26.4 meters.

The "Circumference" of a circle is known as the distance around the boundary of a circle.

The circumference of a circle is given by the formula : 2 × π × radius,

where π (pi) is a mathematical constant approximately equal to 3.14,

We are given that Jasmine's swimming pool has a radius of 4.2 meters.
So, we can calculate the circumference of the pool as :

⇒ Circumference = 2 × 3.14 × 4.2 meters,

⇒ Circumference ≈ 26.4 meters,

Therefore, the circumference of Jasmine's swimming pool is 26.4 meters.

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Check the picture below.

Answer:

57 meters per 3 seconds

Step-by-step explanation:

^^^

Answer:

see below

Step-by-step explanation:

i is the imaginary number and it represents the square root of -1

Answer:

we need $7200 to earn $900 in 5 years.

Step-by-step explanation:

Simple Interest formula: \(\frac{PRT}{100}\) .......where p is principal, r is rate of interest, t is time

Using the formula:

\(\frac{p*2.5*5}{100} =900\)

\({p*2.5*5} =900*100\)

\(12.5p =90000\)

\(p = 90000/12.5\)

\(p=7200\)

Answer:

7200 is the principal

needed

Given statement solution is :- The manager will have enough funds, and the amount set aside ($10,000) is sufficient to cover the payroll for the next four weeks.

To determine if the manager will have enough funds to cover the nightly payroll for the next four weeks, we need to calculate the total cost for four weeks and compare it to the amount set aside.

The nightly payroll has a mean of $2200 and a standard deviation of $300. Since there are seven nights in a week, the weekly payroll can be calculated as:

Weekly Payroll = Nightly Payroll * Number of Nights in a Week

= $2200 * 7

= $15,400

To calculate the total cost for four weeks, we multiply the weekly payroll by four:

Total Cost for Four Weeks = Weekly Payroll * Number of Weeks

= $15,400 * 4

= $61,600

Now, let's calculate the z-score using the formula:

z = (X - μ) / σ

Where:

X = Total Cost for Four Weeks

μ = Mean of the distribution

σ = Standard deviation of the distribution

z = ($61,600 - $2200) / $300

z = $59,400 / $300

z ≈ 198

To determine if the manager will have enough funds to cover the payroll, we need to find the proportion of the distribution that is less than or equal to the z-score. This can be done by consulting a standard normal distribution table or using statistical software.

For a z-score of 198, the proportion in the tail of the distribution is essentially 1 (or 100%). This means that the manager is virtually guaranteed to have enough funds to cover the payroll for the next four weeks.

Since the manager has set aside $10,000, which is less than the calculated total cost of $61,600, he will indeed have enough funds to cover the payroll.

Therefore, the manager will have enough funds, and the amount set aside ($10,000) is sufficient to cover the payroll for the next four weeks.

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Answer:

17 ounce cereal

Step-by-step explanation:

It is only a 53. cent difference so the better option would be the 17 ounce bag

Answer:

The pythagorean theorum states that the longest side of the right triangle (hypotenuse), squared, is equal to the sum of the squares of the 2 other sides

Its expressed as so:

\(c^2=a^2+b^2\)

Therefore,

{36, 48, 60} is correct

Step-by-step explanation:

a. It should be noted that about 10.56% of pregnancies last more than 267 days.

b. It should be noted that about 26.76% of pregnancies last between 255 and 261 days.

c. The probability that a randomly selected pregnancy lasts no more than 245 days is about 6.68%.

d. Only about 1.22% of pregnancies are extremely preterm, a somewhat uncommon event.

In this case, to see, to see if very preterm babies are uncommon, we must compare the likelihood of a pregnancy lasting less than 239 days to some criterion. We can employ the z-score:

z = (239 - 257) / 8 = -2.25

To the left of 239, there is:

P(X < 239) = P(Z < -2.25) = 0.0122

This suggests that only about 1.22% of pregnancies are extremely preterm, a somewhat uncommon event. As a result, very premature newborns are considered rare.

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a. It should be noted that about 10.56% of pregnancies last more than 267 days.

b. It should be noted that about 26.76% of pregnancies last between 255 and 261 days.

c. The probability that a randomly selected pregnancy lasts no more than 245 days is about 6.68%.

d. Only about 1.22% of pregnancies are extremely preterm, a somewhat uncommon event.

In this case, to see, to see if very preterm babies are uncommon, we must compare the likelihood of a pregnancy lasting less than 239 days to some criterion. We can employ the z-score:

z = (239 - 257) / 8 = -2.25

To the left of 239, there is:

P(X < 239) = P(Z < -2.25) = 0.0122

This suggests that only about 1.22% of pregnancies are extremely preterm, a somewhat uncommon event. As a result, very premature newborns are considered rare.

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The correct statement is that the theoretical probability of swimming, P(swimming), is one half, but the experimental probability is 16 over 40.

We know that there are 40 students at summer camp who are divided into two groups for either swimming or hiking. Each camper flips a coin, where heads represents swimming and tails represents hiking. The outcome frequency for swimming is 16 and for hiking is 24.
To compare the probabilities, we need to first understand the difference between theoretical probability and experimental probability. Theoretical probability is the expected probability of an event occurring based on mathematical calculations and assumptions, whereas experimental probability is the actual observed probability of an event occurring based on data from experiments or observations.
Option 1 states that the theoretical probability of swimming is one half, but the experimental probability is 24 over 40. This statement is incorrect because the theoretical probability of swimming is actually 50%, which is equal to one half, and the experimental probability of swimming is also 40%, which is equal to 16 over 40. Therefore, this option is false.
Option 2 states that the theoretical probability of swimming is one half, but the experimental probability is 16 over 40. This statement is correct because the theoretical probability of swimming is 50%, which is equal to one half, and the experimental probability of swimming is also 40%, which is equal to 16 over 40. Therefore, this option is true.
Option 3 states that the theoretical probability of swimming is 16 over 24, but the experimental probability is one half. This statement is incorrect because the theoretical probability of swimming is actually 50%, which is not equal to 16 over 24, and the experimental probability of swimming is also 40%, which is not equal to one half. Therefore, this option is false.
Option 4 states that the theoretical probability of swimming is 24 over 40, but the experimental probability is one half. This statement is incorrect because the theoretical probability of swimming is actually 50%, which is not equal to 24 over 40, and the experimental probability of swimming is also 40%, which is not equal to one half. Therefore, this option is false.
In conclusion, the correct statement is that the theoretical probability of swimming, P(swimming), is one half, but the experimental probability is 16 over 40.

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Yeah, your right the answer would be -39.1%

The rational function graphed in this problem is given as follows:

D. F(x) = x/[(x + 4)(x - 1)]

The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator, hence they are given as follows:

x= -4 and x = 1.

Hence the denominator of the function is given as follows:

(x + 4)(x - 1).

The intercept is given as follows:

x = 0.

Hence the numerator is:

x.

Thus the function is given as follows:

D. F(x) = x/[(x + 4)(x - 1)]

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Answer:

(First answer option)

Step-by-step explanation:

General form of an exponential function

\(y=ab^x+c\)

where:

Given exponential function:

\(y=4(10)^x-3\)

The x-intercept is the point at which the curve crosses the x-axis, so when y = 0.  To find the x-intercept, substitute y = 0 into the given equation and solve for x:

\(\begin{aligned}& \textsf{Set the function to zero}:& 4(10)^x-3 &=0\\\\& \textsf{Add 3 to both sides}:& 4(10)^x &=3\\\\& \textsf{Divide both sides by 4}:& 10^x &=\dfrac{3}{4}\\\\& \textsf{Take natural logs of both sides}:& \ln 10^x &=\ln\left(\dfrac{3}{4}\right)\\\\& \textsf{Apply the power log law}:&x \ln 10 &=\ln\left(\dfrac{3}{4}\right)\\\\& \textsf{Divide both sides by }\ln 10:&x&=\dfrac{\ln\left(\dfrac{3}{4}\right)}{\ln 10} \\\\& \textsf{Simplify}:&x&=-0.1\:\:\sf(1\:d.p.)\end{aligned}\)

Therefore, the x-intercept is (-0.1, 0) to the nearest tenth.

An asymptote is a line that the curve gets infinitely close to, but never touches.

The parent function of an exponential function is:

\(f(x)=b^x\)

As x approaches -∞ the function f(x) approaches zero, and as x approaches ∞ the function f(x) approaches ∞.

Therefore, there is a horizontal asymptote at y = 0.

This means that a function in the form  \(f(x) = ab^x+c\) always has a horizontal asymptote at y = c.  

Therefore, the horizontal asymptote of the given function is y = -3.

A graph representing exponential growth will have a curve that shows an increase in y as x increases.

A graph representing exponential decay will have a curve that shows a decrease in y as x increases.

The part of an exponential function that shows the growth/decay factor is the base (b).  

The base of the given function is 10 and so this confirms that the function is increasing since 10 > 1.

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Answer:

\(54 m^2\) is the correct answer I believe

Answer:

im not exactly sure but i think its a b c e i will coment the correct answer if this is wrong

Step-by-step explanation: