Find the volume of the shape below. Round to the nearest tenth. Use
the pi button on the calculator.
Volume =
12 cm
cm³

The required 7,000 gallons of gasoline which are 9% ethanol must be added to 2,000 gallons of gasoline with no ethanol to get a mixture that is 7% ethanol.

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

Here,
To solve the problem, we can use the following formula:

(amount of ethanol in the final mixture) / (total amount of gasoline in the final mixture) = 7%

To find the amount of ethanol in the 2,000 gallons of gasoline with no ethanol:

ethanol in 2,000 gallons of gasoline with no ethanol = 0 × 2,000 = 0 gallons

Then, find the amount of ethanol in the final mixture:

ethanol in final mixture = (0.09x + 0 * 2,000) / (x + 2,000)

Notice that we use 0 gallons for the ethanol in the 2,000 gallons of gasoline with no ethanol, since it contains no ethanol.

Ethanol in the final mixture / total amount of gasoline in the final mixture = 7%

(0.09x + 0) / (x + 2,000) = 0.07

0.09x + 0 = 0.07(x + 2,000)

0.09x = 0.07x + 140

0.02x = 140

x = 7,000

Therefore, 7,000 gallons of gasoline which is 9% ethanol must be added to 2,000 gallons of gasoline with no ethanol to get a mixture that is 7% ethanol.

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Answer:

63 km

Step-by-step explanation:

Given :

Solving :

Convert minutes into hours so that the units are equal, otherwise your answer will not be correct.

Calculating distance

Answer:

frist convert 315k/h into m/s

then convert 12min into sce

=12*60

=720

distance = v*t

=315*720

=226800m

Answer:

68 degrees

Step-by-step

22 degrees +B=90 degrees

B=68

The quadratic equation that describes the function is  

f(x) = x² + 4x + 1

A quadratic equation is a equation that is of the form -

y = f{x} = ax² + bx + c

Given is the table that describes the quadratic function h(x) as follows -

{x}                h{x}

−3               −2

−2               −3

−1                −2

0                  1

1                   6

2                  13

3                  22

The quadratic equation is of the form given -

y = ax² + bx + c

For the point (0, 1), we can write -

1 = c                                                      ..... Eq{1}

For the point (1, 6), we can write -

6 = a + b + 1

a + b = 5                                               ...... Eq{2}

For the point (2, 13), we can write -

13 = 4a + 2b + 1

4a + 2b = 12                                               ...... Eq{3}

From Eq{2}, we can write -

a = 5 - b

So, the equation 3 can be written as -

4(5 - b) + 2b = 12

20 - 4b + 2b = 12

20 - 2b = 12

2b = 8

b = 4                                    ...... Eq{4}

then

a = 1                                ...... Eq{5}

So, we can write the quadratic equation as -

f(x) = x² + 4x + 1

Therefore, the quadratic equation that describes the function is  

f(x) = x² + 4x + 1

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Answer: 2.333333...

Step-by-step explanation:

If we apply rise over run, we see that it rises 3.5 spaces, and runs 1.5, which means that   \(m = \frac{rise}{run} = \frac{3.5}{1.5} = 2.33333...\)

Answer:$85.5

Step-by-step explanation: It is given that Elizabeth  spent $n on the cake and sold it for $171 which, is n more than the amount she spent on the cake therefore

$171= Amount spent on cake+profit on cake

$171=$n+$n

171=2n

n=$85.5

thus the amount spent on the cake is $85.5

Answer:

Elizabeth spent $85.5 on ingredients to make the cake, and then sold it for $171, which is $85.5 more than she spent.

Step-by-step explanation:

We know that Elizabeth spent "n" on ingredients to make the cake. When she sells the cake, she gets $171, which is "n" more than the amount she spent.

We can write this as an equation:

n + n = 171

Simplifying, we can combine the "n" terms:

2n = 171

To solve for "n", we need to isolate it on one side of the equation. We can do this by dividing both sides of the equation by 2:

n = 85.5

So Elizabeth spent $85.5 on ingredients to make the cake, and then sold it for $171, which is $85.5 more than she spent.

Answer:

12

Step-by-step explanation:

2 of, 50 pence, = 1 pound. So multiply 6 by 2, you get 12. Your answer should be 12.

Hope this helps!

Maybe brainliest?

Answer:

6

(If you like this answer i would appreciate if u give brainliest but otherwise, i hope this helped ^^)

Step-by-step explanation:

To find the missing number in the given sequence, let's analyze the pattern:

2, 4, 3, 6, 6, 3, 8, 9, 7, 9, 8, ???

Looking at the sequence, we can identify a few patterns:

The sequence alternates between increasing and decreasing numbers.

The first two numbers, 2 and 4, are increasing.

The next two numbers, 4 and 3, are decreasing.

The following two numbers, 3 and 6, are increasing.

The subsequent two numbers, 6 and 3, are decreasing.

The next two numbers, 3 and 8, are increasing.

The subsequent two numbers, 8 and 9, are increasing.

Based on these observations, it appears that the sequence is following a pattern where it alternates between increasing and decreasing numbers, but the specific values being added or subtracted are not consistent.

Now let's determine the missing number:

From the pattern, the next two numbers should be decreasing. Following the pattern of alternating between increasing and decreasing numbers, the missing number after the last given number (8) should be less than 9.

Let's assume the missing number is x:

8 - x

Since the previous decreasing sequence was 6 - 3, we can assume that x is 1 less than the previous number (3):

8 - (3 - 1) = 8 - 2 = 6

Therefore, the missing number in the sequence is 6.

The complete sequence is:

2, 4, 3, 6, 6, 3, 8, 9, 7, 9, 8, 6

Answer:

Therefore, the Forest Service will open trials on April 23rd.

Step-by-step explanation:

On January 15th, snow pack = 150 inches.

Snow pack decreases 11 inches per week.

The trials for hiking would be opened when the snow will be gone.

The snow will be gone in the number of weeks it takes to decease.

Number of weeks required = \(\frac{150}{11}\)

                                 = 13.64 weeks

Number of weeks required ≅ 14

Thus, it would take a maximum of 14 weeks for the snow to be gone from January 15th.

Therefore, the Forest Service will open trials on April 23rd.

According to the solving the Hight in feet at 2 second is 74.

This asserts that the height (h) of a projectile is equal to the combination of two products: its initial velocity and time in the air, and indeed the acceleration constant as well as half of the time squared.

max = h plus V02 / (4 * g) When launching from the ground, the range is maximized (h = 0). If = 0°, therefore vertical velocity becomes equal to zero (Vy = 0), indicating horizontal projectile motion.

Given h(t)=−16t²+69t

t = 2 sec

substituting the value of t = 2.

h(2)=−16(2)²+69(2).

      = -64 + 138

      = 74

According to the solving the height and time in feet at 2 second is 74.

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A normal distribution has a mean of 50 and a standard deviation of 3 , the probability P(X ≤ 44) = P(Z ≤ -2) = 0.0241  option a) 0.025.

In probability theory, normal distribution is also known as Gaussian distribution. It is a probability distribution that is symmetrical, bell-shaped, and a continuous probability distribution. It's also a part of continuous probability distribution that describes real-valued random variables whose probability density function is affected by two parameters: the mean μ and the variance σ².

Let us consider the problem. Suppose a normal distribution has a mean of 50 and a standard deviation of 3. Firstly, we need to standardize the random variable X that is to convert it to the standard normal distribution. We use the following formula for this Z = (X - μ) / σwhere X is the random variable and μ is the mean, σ is the standard deviation of the population.

So in this case, we can write this as Z = (44 - 50) / 3 = -2

We have now obtained the standard score or standard deviation for the random variable X.

Now we need to calculate the probability P(X ≤ 44) = P(Z ≤ -2).

The probability of Z being less than -2 is denoted by the area under the standard normal curve to the left of Z = -2.

Using the standard normal table we look for the probability that corresponds to -2 and the closest we find is 0.0228.

This probability represents the area under the standard normal distribution to the left of Z = -2.

To calculate the area to the left of Z = -2, we add the area to the left of the next integer, which is -3, which we find from the standard normal table as 0.0013, 0.0228 + 0.0013 = 0.0241.

Therefore, the probability P(X ≤ 44) = P(Z ≤ -2) = 0.0241 or 0.025 (rounded to three decimal places)Therefore, the answer is option A. 0.025.

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Answer: 3/4 is greater than 8/12.

Step-by-step explanation:

To determine whether 3/4 is greater than 8/12, we can compare the fractions by finding a common denominator and then comparing the numerators.

First, let's find a common denominator for 4 and 12, which is 12. We can convert both fractions to have a denominator of 12:

3/4 = (3/4) * (3/3) = 9/12

8/12 = 8/12

Now we can compare the numerators. Is 9 greater than 8? Yes, 9 is greater than 8.

Therefore, 3/4 is greater than 8/12.

The volume of the cone is given as:

where h is the height and r is the radius of the base. From this formula we notice that we have:

and that this is the area of the base (the circle). Since we know this value already we can plug it in the volume formula, hence we have:

Therefore the volume (capacity) of the cone is 18.04 cubic inches.

Answer:

90  berries

Step-by-step explanation:

The total path length covered in 5 second will be 69.45 meter.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is a train going at 70 km/h must reduce its speed to 30 km/h when passing over a bridge. It performs the operation in five seconds.

Using the first equation of motion -

v = u + at

(30 x 5/18) = (70 x 5/18) + 5a

(30 x 5/18) - (70 x 5/18)  = 5a

- (5/18) x 40 = 5a

- (200/18) = 5a

a = - (40/18)

a = - 2.22 m/s²

S = 19.44 x 5 + 0.5 x (- 2.22) x 25

S = 97.2 - 27.75

S = 69.45 meter

Therefore, the total path length covered in 5 second will be 69.45 meter.

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[Question translation in english -

A train going at 70 km/h must reduce its speed to 30 km/h when passing over a bridge if it performs the operation in five seconds what total path has been traveled in that time.]

The best first step to solve equations, x+y = 3 and 4x-y = 7, is to add the first equation to the second equation.

According to the question,

We have the following system of equations:

x+y = 3 .....(1)

4x-y = 7 ....(2)

Now, these equations can be easily solved by adding the first equation to the second equation because we will only then have one variable which is x and y when added to -y will result in zero.

We can solve these equations by adding as follows:

x-y+4x+y = 3+7

5x = 10

x = 10/5

x = 2

Now, we can put the value of x in equation 1 to find the value of y:

2+y = 3

y = 3-2

y = 1

Hence, the correct option is B.

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Answer: 81 + 49 + 1000

Step-by-step explanation:

Answer: 2,198,000

Step-by-step explanation:

(81 + 49)^3 + 1000

2,197,000 + 1000

2198,000

BRAINLEST PLPSS

Answer:

October 30

Step-by-step explanation:

Subtract three days from November 2

Step-by-step explanation:

B. Its oxidation state is higher in the product than in the reactant

Answer:

The number of acres that were planted by the farmer if the year is 2/3 will be 3.

Step-by-step explanation:

I’ve done this before

Answer:

Step-by-step explanation:

(1-CotA)² + (tanA-1)² = 4csc2A(csc2A-1)

To prove this equation we will take the expression given in left hand side and will convert it into the expression given in right hand side of the equation.

L.H.S. = (1-CotA)² + (tanA-1)²

          = 1 + Cot²A - 2CotA + 1 + tan²A - 2tanA

          = cosec²A - 2CotA + Sec²A - 2tanA

[Since, (1 + Cot²A = cosec²A) and (1 + tan²A = Sec²A)]

          = (cosec²A + Sec²A) - 2(CotA + tanA)

          = \((\frac{1}{\text{SinA}})^{2}+(\frac{1}{CosA} )^{2}-2\text{(tanA}+\frac{1}{\text{tanA}})}\)

          = \(\frac{1}{(\text{SinA.CosA})^2}-2(\frac{tan^2A+1}{tanA} )\)

          = \(\frac{4}{\text{(Sin2A})^{2}}-4(\frac{1}{\text{Sin2A}} )\)

[Since 2SinA.CosA = Sin2A and \(\frac{2(\text{tanA})}{1+\text{tan}^{2}A}=\text{Sin2A}\)]

          = 4Cosec²2A - 4Cosec2A

          = 4Cosec2A(Cosec2A - 1)

          = R.H.S. (Right hand side)

Hence the equation is proved.

Answer:

a)

\(4ydy = xdx\)

\(2 {y}^{2} = \frac{1}{2} {x}^{2} + c\)

\( {y}^{2} = \frac{1}{4} {x}^{2} + c \)

\( {y}^{2} - \frac{1}{4} {x}^{2} = c \)

b)

c = 4, so

\( {y}^{2} = \frac{1}{4} {x}^{2} + 4\)

\(y = - \sqrt{ \frac{1}{4} {x}^{2} + 4} \)

\(y = - \frac{ \sqrt{ {x}^{2} + 16} }{2} \)

Step-by-step explanation:

Each bag of crackers is 2 ounces, while each bag of pretzels is 3 ounces. Since there are 50 bags of crackers and 65 bags of pretzels, we can make an equation:

2(50)=100 oz of crackers

3(65)=195 oz of pretzels

195-100=95(difference in total)

Hope this helps!

Answer:

Mkay?

Step-by-step explanation:

The equation of a parabola with its vertex at the origin includes a negative coefficient 'a', the parabola opens downward. option B.

The equation y = ax² represents a parabola with its vertex at the origin. In this case, if the coefficient 'a' is negative, it determines the direction in which the parabola opens.

When 'a' is negative, the parabola opens downward. This means that the vertex, which is at the origin (0, 0), represents the highest point on the graph, and the parabola curves downward on both sides.

To understand this concept, let's consider the basic equation y = x², which represents a standard upward-opening parabola. As 'a' increases, the parabola becomes narrower. Conversely, when 'a' becomes negative, it flips the parabola upside down, resulting in a downward-opening parabola.

For example, if we have the equation y = -x², the negative coefficient causes the parabola to open downward. The vertex remains at the origin, but the shape of the parabola is now inverted.

In summary, when the equation of a parabola with its vertex at the origin includes a negative coefficient 'a', the parabola opens downward. This can be visually represented as a U-shape curving downward from the origin. So Optyion B is correct.

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The length of the side JH in the triangle ΔHIJ is 97.9.

We are given two triangles. The vertices of the first triangle are E, F, and G. The vertices of the second triangle are H, I, and J. The triangles ΔEFG and ΔHIJ are similar to each other. The lengths of the sides FG, GE, and IJ are 12, 25, and 47, respectively. We need to find the length of the side, JH. The figure of the triangles is attached below.

Let the length of the side JH in the triangle ΔHIJ be represented by the variable "x". The side IJ is proportional to the side FG. Let the constant of proportionality be "k".

IJ ∝ FG

IJ = k*FG

k = IJ/FG

k = 47/12

The side JH is proportional to the side GE.

JH = k*GE

x = (47/12)*25

x = 97.9

Hence, the length of the side JH is 97.9 units.

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